The Gabrielsons ran a total of 30 kilometers in the family relay race.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
It seems that there are five family members who participated in the relay race, and the distance run by each of them in kilometers is listed as follows:
11, 4, 8, 2, 5
To find the total distance run by the family, we simply add up the distances:
11 + 4 + 8 + 2 + 5 = 30
Therefore, the Gabrielsons ran a total of 30 kilometers in the family relay race.
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If you spin the spinner 36 times, what is the best prediction possible for the number of times it will not land on yellow?
The best prediction possible for the number of times the spinner will not land on yellow is 18.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
Assuming that the spinner is fair and all outcomes are equally likely, we can calculate the probability of the spinner not landing on yellow in one spin by adding up the probabilities of all other outcomes, which are green, blue, and red.
The probability of the spinner not landing on yellow in one spin is:
P(not yellow) = P(green) + P(blue) + P(red)
= 1/6 + 1/3 + 1/6
= 1/2
Therefore, the expected number of times the spinner will not land on yellow in 36 spins is:
E(not yellow) = 36 x P(not yellow)
= 36 x 1/2
= 18
So the best prediction possible for the number of times the spinner will not land on yellow is 18. However, it's important to note that this is just a prediction based on probabilities, and the actual number of times the spinner doesn't land on yellow in 36 spins may vary.
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es meet at right angles.) 6 m 2 m 3 m 5 m grass cement 2 m 4 m square meters
The area of the cement part is 24 m².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the part with cement. we use the formula below
Formula:
Area of the part with cement = Area of the backyard-Area of the grassA = LW-lw....................... Equation 1Where:
A = Area of the part with cementL = Length of the backyardW = Width of the backyardl = Length of the cementw = Width of the cementFrom the question,
Given:
L = 5 mW = 6 ml = 3 mw = 2 mSubstitute these values into equation 1
A = (5×6)-(2×3)A = 30-6A = 24 m²Hence, the area is 24 m².
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Write a sine function that has an amplitude of 3, a midline of y =2 and a period of 1
the sine function that meets the given conditions is:
[tex]y(t) = 3 \times sin ((2\pi / 1200) \times t) + 2[/tex]
Function with the given characteristics.
The terms and their definitions we need to consider:
Amplitude:
The maximum displacement from the midline (in this case, 3)
Midline:
The horizontal line that passes through the center of the wave (y = 2)
Period:
The length of one complete cycle of the wave (1200)
Now, let's write the sine function:
[tex]y(t) = A \times sin (B \times t) + C[/tex]
Where:
y(t) is the sine function with respect to time (t)
A is the amplitude (3)
B is the frequency (to be determined)
C is the midline (2)
First, we need to find the frequency (B).
The period and frequency are related by the following formula:
[tex]Period = 2\pi / B[/tex]
In this case, the period is 1200:
[tex]1200 = 2\pi / B[/tex]
Now, solve for B:
[tex]B = 2\pi / 1200[/tex]
Now, we can plug in the amplitude (A), frequency (B), and midline (C) into our sine function:
[tex]y(t) = 3 \times sin((2\pi / 1200) \times t) + 2[/tex]
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Our school raises $150 for six charities. Each charity gets 1/6 of the amount raised. How much did each charity get
The amount that each charity gets is $25.
The charity raise simply define as we raise funds in the form of small amounts of money from a huge crowd of people within a specific period of time.
For example, if 100 people donate $50 each to your crowdfunding campaign in two weeks, you will be able to raise $5000.
To find the amount that each charity got, we have to divide the total charity amount raised in the proportion given, i.e., 1/6.
Each charity gets 1/6 of the total amount raised, which is $150.
So, we need to divide $150 by 6:
$150 ÷ 6 = $25
Therefore, each charity received $25.
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Which statement is true?
Please help
Noah is visiting his aunt in Texas. He wants to buy a belt buckle whose price is $25. He knows that the sales tax in Texas is 6.25%.
How much will the tax be on the belt buckle?
The tax on the belt buckle is $1.56
What is Rate?
In general terms, a rate is a measure of the relationship between two quantities that are measured in different units. A rate expresses how much of one thing there is per unit of another thing. For example, miles per hour is a rate that expresses how many miles are traveled in one hour.
To calculate the tax on the belt buckle, we need to multiply the price of the belt buckle by the sales tax rate:
Tax = Price x Tax rate
In this case, the price of the belt buckle is $25 and the sales tax rate is 6.25%. To convert the tax rate from a percentage to a decimal, we need to divide it by 100:
Tax rate = 6.25% ÷ 100 = 0.0625
Now we can calculate the tax on the belt buckle:
Tax = Price x Tax rate
= $25 x 0.0625
= $1.56
Therefore, the tax on the belt buckle is $1.56. The total cost of the belt buckle including tax would be $25 + $1.56 = $26.56.
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Can someone help me asap? It’s due tomorrow.
Answer:
I would say convenience sampling. It's hard to tell. Sampling every other person is like systematic sampling, BUT convenience sampling would be to sample people that are easy to reach.
You are helping with some repairs at home. You drop a hammer and it hits the floor at a speed of 4 feet per second. If the acceleration due to gravity (g) is 32 feet/second 2, how far above the ground (h) was the hammer when you dropped it? Use the formula:
Step-by-step explanation:
vf = vo + at vo = 0 in this case ( you dropped it from 'at rest')
4 f/s = 32 t
t = 1/8 s
df = do + vot + 1/2 at^2 df = final position = 0 ft (on the ground)
0 = do + 0 + 1/2 (-32)(1/8)^2
solve for do = 1/4 foot
Urgent, please help!
It has been proved that the lines MN and PR are parallel because they have the same slope.
How to identify the slope of parallel lines?We are given the coordinates of the points P, Q and R as:
P(-3, -6)
Q(1, 4)
R(5, -2)
Since M is the midpoint of PQ, we have:
M = (-3 + 1)/2, (-6 + 4)/2
M = (-1, -1)
N is the midpoint of QR and so:
N = (1 + 5)/2, (4 - 2)/2
N = (3, 1)
Slope of MN = (1 + 1)/(3 + 1) = 1/2
Slope of PR = (-2 + 6)/(5 + 3)
Slope of QR = 4/8 = 1/2
Both slopes are equal and as such they are parallel lines
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math help i beg anything will do just pleas help
Answer: 1. 48.356 2. 75.3982236862
Step-by-step explanation:
Radias*2 pi
Find the measures of angle a and B. Round to the nearest degree.
The measure of angle A and angle B are 28.61 and 61.39 rounded to two decimal place, using trigonometric ratio of tangent for the respective angles.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
tan B = 6/11 {opposite/adjacent}
B= tan⁻¹(6/11) {cross multiplication}
B = 28.6105.
tan A = 11/6 {opposite/adjacent}
A= tan⁻¹(11/6) {cross multiplication}
A = 61.3895.
Therefore, the measure of angles A and B are 28.61 and 61.39 rounded to two decimal place, using trigonometric ratio of tangent for the respective angles.
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In Circle C, the diameter AB bisects the chord EF.
If m
In the circle the mesaure of ∠ACF is 7
What do you mean by Diameter ?The distance from the centre of a circle to any point on the boundary is called the radius. The radius is half of the diameter; 2r=d 2 r = d . The line segment that joins two points on the circle is a chord.
If diameter of a circle bisects a chord ,then it must be perpendicular to the chord.
∴ m∠ACF = 90°
(8x + 34)° = 90°
8x = 90 - 34
x = 56/8
x = 7
Hence,mesaure of ∠ACF = 7
Complete question : In Circle C, the diameter AB bisects the chord EF.
If m∠ACF = (8x+34)°, enter in the correct value of x.
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explain why we call the national halothane study an observational study rather than an experiment, even though it compared the results of using different anesthetics in actual surgery.in order to be an experiment, the subjects would have to be randomly selected from the population. however, these are hospital patients who all have some disease or condition and have not been randomly selected from the population, which includes both healthy and sick people.in order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned. instead, a patient's anesthetic is selected by his or her doctor(s).there is not enough information to say for sure, but it is safer to assume that it is only an observational study, so that we are not overconfident about the results.actually, it is an experiment and not an observational study.
We the best reason behind why we call National halothane study is an observational study rather than an experiment is: " In order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned." So, option( b) is right one.
We have data from the National Halothane Study that correlates with important research into the safety of anesthetics used in surgery. The above shows the death rate and aesthetic. There is a relationship between the anesthetic used and the death of the patient. The data was collected after that the anesthesia was administered is started. In the observational study, interesting observer in the subjects & any treatment that the subjects recive are beyond the council of the investigators. Here the motion of anaesthesia is anesthetics used her determined by the doctors and the investigators are simply observing. So, it is an observational study due to because in order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned. Instead, a patient's anesthetic is selected by his or her doctor(s).
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Complete question:
The National Halothane Study was a major investigation of the safety of anesthetics used in surgery. Records of over 850,000 operations performed in 34 major hospitals showed the following death rates for four common anesthetics:27 Anesthetic A Death rate B CD 1.7% 1.7% 3.4% 1.9% There is a clear association between the anesthetic used and the death rate of patients. Anesthetic C appears dangerous.
a) in order to be an experiment, the subjects would have to be randomly selected from the population. however, these are hospital patients who all have some disease or condition and have not been randomly selected from the population, which includes both healthy and sick people.
b) in order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned. instead, a patient's anesthetic is selected by his or her doctor(s).
c) there is not enough information to say for sure, but it is safer to assume that it is only an observational study, so that we are not overconfident about the results.
d) actually, it is an experiment and not an observational study.
HELP ME PLS
1. If the diameter of a circle is segment AB where Point A is located at (-3, 6), and Point B located at (-8,-1), what is the diameter of the circle?
2√2
√146
√74
74
The diameter of the circle is √74. Answer: C.
What is circle?
A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center. It can also be defined as the set of points that are a fixed distance (called the radius) away from the center point.
To find the diameter of the circle, we need to find the distance between points A and B, which will give us the length of the diameter.
Using the distance formula, we have:
d = √[(x2 - x1)² + (y2 - y1)²]
where (x1, y1) = (-3, 6) and (x2, y2) = (-8, -1).
Plugging in the values, we get:
d = √[(-8 - (-3))² + (-1 - 6)²]
= √[(-5)² + (-7)²]
= √[25 + 49]
= √74
Therefore, the diameter of the circle is √74. Answer: C.
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a grocery store company wanted to know how well some of their local stores were doing. in order to find out, they hired three different reviewers to rate 10 local stores. the test statistic was 2.3, what is the p value?
Assuming a two-tailed test with 9 degrees of freedom (10 stores minus 1), the p-value for a t-value of 2.3 is approximately 0.040.
In order to calculate the p-value, we need to know the specific test being used and the significance level of the test. Let's assume that the test is a two-tailed t-test with a significance level of 0.05.
Since the test statistic is 2.3, we need to find the probability of getting a t-value of 2.3 or greater (in absolute value) under the null hypothesis. We can use a t-distribution table or a statistical software to find the corresponding p-value.
Assuming a two-tailed test with 9 degrees of freedom (10 stores minus 1), the p-value for a t-value of 2.3 is approximately 0.040. Therefore, if the significance level of the test is 0.05, we would reject the null hypothesis and conclude that there is a significant difference between the ratings given by the three reviewers.
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Julian goes to a store an buys an item that costs � x dollars. He has a coupon for 20% off, and then a 4% tax is added to the discounted price. Write an expression in terms of � x that represents the total amount that Julian paid at the register.
The expression that represents the total amount that Julian paid at the register in terms of x is 0.84x.
What is Percentage?
Percentage is a way of expressing a proportion or fraction as a quantity out of 100. The word "percent" means "per hundred," so percentages are often denoted by the symbol %, which represents one part in a hundred.
The first step is to find the discounted price after the 20% discount. This can be found by multiplying the original price by (1 - 0.2), which represents a 20% reduction.
Discounted price = x - 0.2x = 0.8x
Next, a 4% tax is added to the discounted price. This can be found by multiplying the discounted price by (1 + 0.04), which represents a 4% increase.
Total amount paid = (0.8x) * (1 + 0.04) = 0.84x
Therefore, the expression that represents the total amount that Julian paid at the register in terms of x is 0.84x.
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help please its due in a few minuets
Answer:
use desmos graphing calculator it helps alot
Step-by-step explanation:
x^{2}-x-6=0 has two zeros/solutions
x^{2}-x-6=0 has 1 zero/solution
x^{2}-x-6=0 has no zero/solution
The function V(t) = 30000(0.85) value V(t) represents the values v(t) of Nancy's car after t years. What is the depreciation rate of Nancy's car?
The depreciation rate of Nancy is 15%.
What is known by depreciation?Depreciation is the reduction in the value of an asset over time due to wear and tear, obsolescence, or other factors. It is a non-cash expense that is recorded on a company's income statement, which reflects the decrease in the asset's value during its useful life. Depreciation is commonly used in accounting to allocate the cost of an asset over its useful life, and it helps businesses to accurately reflect the true value of their assets on their financial statements.
Define function?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output.
The given function V(t) = [tex](30000*0.85)^{t}[/tex]represents the value of Nancy's car after t years.
Depreciation rate is the rate at which the value of an asset decreases over time. In this case, the depreciation rate of Nancy's car is 1 - 0.85 = 0.15 or 15%.
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A small tree that is 8 feet tall casts a 4-foot shadow, while a building that is 24 feet tall casts a shadow in the same direction. Determine the length of the building's shadow.
6 feet
12 feet
18 feet
48 feet
Answer:
Using similar triangles, we can set up a proportion:
(tree height)/(tree shadow) = (building height)/(building shadow)
Plugging in the given values, we get:
8/4 = 24/x
Solving for x, we get:
x = (24 x 4)/8 = 12 feet
Therefore, the length of the building's shadow is B. 12 feet.
A football team consists of:
• 10 sixth graders
• 14 seventh graders
• 16 eighth graders
A student on the team will be randomly chosen to participate in the coin toss each of the 40
games of the season.
What is a reasonable prediction for the number of times a sixth or seventh grader will be
chosen?
A reasonable prediction for the number of times a sixth or seventh grader will be chosen is 24 out of the 40 games.
What is reasonable prediction?
A reasonable prediction is a prediction made with a reasonable degree of accuracy or likelihood, based on available information and knowledge. It is based on facts, past events, and logical assumptions, and is not based on conjecture or guesswork. Reasonable predictions can be made about future events, trends, and outcomes, and can be used to inform decisions, plans, and strategies.
The total number of sixth and seventh graders on the team is:
10 sixth graders + 14 seventh graders = 24 students
The total number of students on the team is:
10 sixth graders + 14 seventh graders + 16 eighth graders = 40 students
To find the expected number of times a sixth or seventh grader will be chosen in the coin toss, we can use the proportion of sixth and seventh graders to the total number of students:
(expected number of times) = (proportion of sixth and seventh graders) * (total number of coin tosses)
(expected number of times) = (24/40) * 40
(expected number of times) = 24
Therefore, a reasonable prediction for the number of times a sixth or seventh grader will be chosen is 24.
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Please help!! URGENT!! I don’t understand
Answer: 14%
Step-by-step explanation:
Our formula is i=prt but we're trying to find the rate (r) so we'll rearrange it to become r=i/pt.
i = $245
p = $7000
t = 3/12= 0.25 years
[tex]r=\frac{245}{(7000)(0.25)} \\r = 0.14[/tex]
TIME SENSITIVE! please help !
Consider the word PENCIL. If all the letters are used, and the first letter can’t be N or L, how many ways can the letters be arranged?
A) 720
B) 480
C) 360
D) 96
The number of ways to arrange the letters of PENCIL when the first letter can't be N or L is option (B) 480.
The word PENCIL has 6 letters, here we have to use permutation method. If all the letters are used, there are 6! = 720 ways to arrange them. However, the first letter can’t be N or L. This means that there are only 4 choices for the first letter (P, E, C, or I). After choosing the first letter, there are 5 letters left to arrange,
So there are 5! = 120 ways to arrange them.
Therefore, the total number of ways to arrange the letters of PENCIL when the first letter can’t be N or L is
4 x 5! = 4 x 120 = 480
Therefore, the correct option is (B) 480.
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Find the volume of a pyramid with a square base, where the area of the base is 19. 6 ft 2 19. 6 ft 2 and the height of the pyramid is 11. 6 ft 11. 6 ft. Round your answer to the nearest tenth of a cubic foot
If the area of the base is 19. 6 ft^2 and the height of the pyramid is 11. 6 ft, the volume of the pyramid is approximately 79.1 cubic feet.
The formula for the volume of a pyramid is given by:
V = (1/3) × base area × height
In this case, we are given that the pyramid has a square base, so the base area is simply the area of a square with side length s:
base area = s^2 = 19.6 ft^2
We are also given the height of the pyramid:
height = 11.6 ft
Substituting these values into the formula for the volume of a pyramid, we get:
V = (1/3) × base area × height
= (1/3) × 19.6 ft^2 × 11.6 ft
≈ 79.1 ft^3 (rounded to the nearest tenth)
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the integers from 1 to 15, inclusive, are partitioned at random into two sets, one with 7elements and the other with 8. what is the probability that 1 and 2 are in the same set?
The chance/
probability
is
16/33
, or roughly 0.485 that 1 and 2 are in the
same set.
Let's say we divide the range of numbers from
1 to 15
into two sets, each containing seven and eight numbers, respectively. Finding the likelihood that the numbers 1 and 2 are included in the same
set
is our goal.
We can determine the
total number
of ways to divide the numbers into the two sets of
7
and
8
in order to begin solving this issue. Calculating this yields the result 6435 using a formula.
The number of ways in which the pairs 1 and 2 can be found in the same set must then be determined. Considering that there are
seven numbers
in the set, we must select six more from the remaining thirteen to complete the set, presuming that one is among the seven .There are
1716
ways to do this. The number of methods remains the same, 1716, even if we suppose that 2 is among the set of 7 numbers.
Hence, there are
3432
different ways to combine the numbers 1 and 2 into one set. The chance is 16/33, or roughly 0.485, when we divide this number by the total number of possible
divisions
of the numbers.
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Help solve this! ASAP
Answer:
2
Step-by-step explanation:
You want the average rate of change of f(x) = -x² -2x +6 on the interval [-7, 3].
Average rate of changeThe average rate of change of f(x) on the interval [a, b] is computed as ...
m = (f(b) -f(a))/(b -a)
For the given function f(x), this is ...
m = (f(3) -f(-7))/(3 -(-7)) = (-9 -(-29))/10 = 20/10 = 2
The average rate of change of f(x) on the interval [-7, 3] is 2.
__
Additional comment
The derivative of the function is f'(x) = -2x -2. The midpoint of the interval is x = (-7 +3)/2 = -2. The value of the derivative at the midpoint is equal to the average rate of change on the interval:
-2(-2) -2 = 4 -2 = 2 . . . . average slope between x=-7 and x=3.
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What is the remainder? Equation is below.
Answer:
-23. In my explanation I will include in my picture how this will look in your final answer
Step-by-step explanation:
So to solve this, I first set x + 3 = 0. This means that x = -3, which we will use soon. Now, here's how you would work out this problem. It would be confusing if I explained over text, so I included a picture of my work.
You would first set up your problem like it is in the picture. Then, bring 2 down. Next, multiply 2 by -3 (for future problems, you would multiply the number you brought down by whatever number is on the side). -3 × 2 = -6, so you would put that under 3 (as shown in the picture). Now, add 3 and -6 (which = -3). Repeat this step each time.
I hope this made sense! Please let me know if you have any questions.
Which expression can be used to find the surface area of the following rectangular prism? Choose 1 answer: (Choice A) A 15+15+10+10+6+615+15+10+10+6+615, plus, 15, plus, 10, plus, 10, plus, 6, plus, 6 (Choice B) B 10+10+6+610+10+6+610, plus, 10, plus, 6, plus, 6 (Choice C) C 15+15+10+10+615+15+10+10+615, plus, 15, plus, 10, plus, 10, plus, 6 (Choice D) D 10+610+6
The expression used to calculate the surface area of the rectangular prism is given by option b. 2×6 + 2×10 + 2×15.
Let us consider 'l' be the length of the rectangular prism.
'w' be the width of the rectangular prism .
'h' be the height of the rectangular prism.
From the attached figure we have,
Length of the rectangular prism l = 3 units
Width of the rectangular prism w = 2 units
Height of the rectangular prism h = 5 units
Surface of the rectangular prism = 2(lw + wh + hl )
Substitute the values in the formula we get,
⇒Surface of the rectangular prism = 2 (3×2 + 2×5 + 5×3 )
⇒Surface of the rectangular prism = 2 ( 6 + 10 + 15)
⇒Surface of the rectangular prism = 2×6 + 2×10 + 2×15
Therefore, the surface area of the rectangular prism with given dimensions is equal to option b. 2×6 + 2×10 + 2×15.
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The above question is incomplete, the complete question is:
Which expression can be used to find the surface area of the following rectangular prism?
Attached figure.
the major flaw of the linear probability model is that a. the actuals can only be 0 and 1, but the predicted are almost always different from that. b. the regression r2 cannot be used as a measure of fit. c. people do not always make clear-cut decisions. d. the predicted values can lie above 1 and below 0.
The major flaw of the linear probability model is, Option d, which allows predicted values to range from above 1 to below 0
The binary dependent variable, which accepts values of 0 and 1, and the independent variables are assumed to have a linear relationship under the linear probability model.
The anticipated values from the linear probability model, however, can range from 0 to 1, and in some circumstances, they can be either above or below 0. This goes against the dependent variable's probabilistic character and can produce inaccurate forecasts.
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these four geometry questions i’m not quite sure how to do and have been struggling in them for a while and it’s due tomorrow!!!!
The total areas of each composite shape are:
1) 121 in²
2) 150m²
3) 14.03 ft²
4) 538.36 cm²
How to find the area of the composite figure?1) Formula for area of a rectangle is:
Area = Length * width
Thus:
Area of composite shape = (9 * 8) + (7 * 7)
= 121 in²
2) Formula for area of rectangle is:
Area = Length * width
Area = 12 * 5 = 60 m²
Area of triangle = ¹/₂ * base * height
Area = ¹/₂ * 12 * 15
Area = 90 m²
Area of composite shape = 60 + 90 = 150m²
3) Area of triangle = ¹/₂ * 3 * 7 = 10.5 ft²
Area of semi circle = ¹/₂ * πr²
= ¹/₂ * π * 1.5²
= 3.53 ft²
Total composite area = 10.5 ft² + 3.53 ft²
Total composite area = 14.03 ft²
4) Total composite area = (¹/₂ * π * 7.5²) + (30 * 15)
= 538.36 cm²
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Solve for X. I don’t know how to solve
The value of x is approximately 10.57 and the value of y is approximately 15.25.
Describe Chords?In mathematics, a chord is a straight line segment that connects two points on a curve. More specifically, a chord is a line segment that has its endpoints on the curve.
The term "chord" is most commonly used in the context of circle geometry, where a chord is a line segment that connects two points on the circumference of a circle. In this context, the length of a chord can be calculated using the Pythagorean theorem, given the lengths of the radii of the circle and the distance between the endpoints of the chord.
In a circle, if four chords are connected to form a quadrilateral, then opposite angles of the quadrilateral are supplementary. Using this property, we can set up the following equation:
105 + (7y + 1) + (7x + 1) + (4y + 14) = 180
Simplifying and solving for x and y, we get:
7x + 4y + 122 = 180
7x + 4y = 58 ......(1)
Also, we know that the opposite angles of a cyclic quadrilateral are supplementary. Therefore, we can set up the following equations:
105 + (4y + 14) = 180 ......(2)
(7y + 1) + (7x + 1) = 180 ......(3)
Simplifying and solving for y in equation (2), we get:
4y + 119 = 180
4y = 61
y = 15.25
Substituting this value of y in equation (3) and solving for x, we get:
(7x + 1) + (7*15.25 + 1) = 180
7x + 106 = 180
7x = 74
x = 10.57
Therefore, the value of x is approximately 10.57 and the value of y is approximately 15.25.
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