Answers
Answer:
B
Step-by-step explanation:
Its the second one, Answer B
Related Questions
2. Tyler has written an incorrect proof to show that quadrilateral ABCD is a
parallelogram. He knows segments AB and DC are congruent. He also knows
angles ABC and ADC are congruent. Find the mistake in his proof.
Segment AC is congruent to itself, so triangle ABC is congruent to triangle ADC by
Side-Angle-Side Triangle Congruence Theorem. Since the triangles are congruent, so
are the corresponding parts, and so angle DAC is congruent to ACB. In
quadrilateral ABCD, AB is congruent to CD and AD is parallel to CB. Since AD is
parallel to CB, alternate interior angles DAC and BCA are congruent. Since
alternate interior angles are congruent, AB must be parallel to CD. Quadrilateral
ABCD must be a parallelogram since both pairs of opposite sides are parallel.
Answers
Answer: specific analyze is as it follows
Step-by-step explanation:
Lennon uses 5 1/2 cups of flour for every 2 batches of cookies she bakes. What is the unit rate per batch of cookies?
Answers
The unit rate per batch of cookies is 2.75 as Lennon uses 5 1/2 cups of flour for every 2 batches of cookies she bakes.
What is meant by unit rate?To calculate the unit rate, divide the denominator by the numerator so that the denominator equals 1. For example, if 50 kilometers are reached in 5.5 hours, the unit rate is 50 kilometers/5.5 hours = 9.09 kilometers per hour.
When expressed as a fraction, a unit rate has a denominator of one unit. To write a rate as a unit rate, divide the rate's numerator and denominator by the rate's denominator.
Based on the given conditions, formulate:
(5 1/2)/2
We have to find the common denominator and write the numerators above the common denominator.
(((5×2)/2)+(1/2))/2
Now, we have to calculate the product or quotient:
((10/2)+(1/2))/2
Now, write the numerators over common denominator,
((10+1)/2)/2
Then, calculate the sum or difference:
(11/2)/2
=11/4
=2.75 (or) 2 3/4
Therefore, the unit rate per batch of cookies is 2.75.
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Let A (t) = 2 cot-3 cot1, 0 ≤t ≤ 2. 1. Factorize A(t). 2. Hence, olve the equation A(t) = 0 for 0 ≤t≤ 2. (4 mark)
Answers
Answers to both the subparts are as follows:
(A) In order to factor A(t), we obtain A(t) = -cost + 1.
(B) t = 1.57 after solving the equation A(t) = 0 for 0 ≤ t ≤ 2.
What are equations?Two expressions are combined by the equal sign to form a mathematical statement known as an equation.
For instance, a formula might be 3x - 5 = 16.
After solving this equation, we learn that the value of the variable x is 7.
(A) Factorize A(t):
A(t) = 2cost - 3cost + 1
After assembling the cost terms, we have:
A(t) = cost(2 - 3) + 1
A(t) = cost(- 1) + 1
A(t) = -cost + 1
In order to factor A(t), we obtain A(t) = -cost + 1.
(B) Solving equation A(t) = 0 for 0 ≤t≤ 2:
Since A(t) = -cost + 1
When we solve A(t) = 0 for 0 ≤ t ≤ 2, we get:
A(t) = 0
-cost + 1 = 0
-cost = -1
cost = 1
If we take the inverse cosine, we get:
t = cos⁻¹(1)
t = π/2
t = 3.142/2
t = 1.571
t ≅ 1.57
t = 1.57 after solving A(t) = 0 for 0 t 2
Therefore, answers to both the subparts are as follows:
(A) In order to factor A(t), we obtain A(t) = -cost + 1.
(B) t = 1.57 after solving the equation A(t) = 0 for 0 ≤ t ≤ 2.
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Complete question:
Let A (t) = 2 cost-3 cost+1, 0 ≤t ≤ 2
A. Factorize A(t).
B. Hence, solve the equation A(t) = 0 for 0 ≤t≤ 2.
via gelato is a popular neighborhood gelato shop. the company has provided the following cost formulas and actual results for the month of june: fixed element per month variable element per liter actual total for june revenue $ 13.00 $ 72,540 raw materials $ 4.75 $ 30,330 wages $ 5,700 $ 1.50 $ 14,560 utilities $ 1,730 $ 0.30 $ 3,800 rent $ 2,700 $ 2,700 insurance $ 1,450 $ 1,450 miscellaneous $ 660 0.45 $ 2,990 while gelato is sold by the cone or cup, the shop measures its activity in terms of the total number of liters of gelato sold. for example, wages should be $5,700 plus $1.50 per liter of gelato sold and the actual wages for june were $14,560. via gelato expected to sell 6,000 liters in june, but actually sold 6,200 liters.
Answers
Via Gelato total revenue for the month of June as the the details of expenses is equal to $7870.
As given in the question,
Total revenue is:
= (6200 × 13) - 72,540
=$ 8060
Details of all expenses are as follow:
Expense on raw material:
= (6200 × 4.75) -30,330
= -$880
Wages :
= (6200 ×1. 50) + 5,700 - 14,560
= $440
Utilities:
= (6200 × 0.30) +1730 - 3,800
= -$210
Rent:
= (2700-2700)
= 0
Insurance :
= (1450-1450)
= 0
Miscellaneous :
= (6200 × 0.45) + 660 -2,990
= $460
Total expense
=-$190
Net operating income :
=$ [8060-190]
=$7870
Therefore, Via Gelato's total revenue of the June month is equal to $7870.
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question content area top part 1 determine how many terms of the following convergent series must be summed to be sure that the remainder is less than in magnitude.
Answers
The number of terms that must be added together to achieve this series s is 5000.
Given that,
The remainder of the following convergent series must be less than 10 Superscript negative 5 in magnitude.
We have to calculate the number of terms that must be added together to achieve this.
Given
S= summation n=0 to infinity (-1)ⁿaₙ.
An upper bound for the error of the series Rₙ is aₙ₊₁ so
Rₙ=|s-sₙ|≤aₙ₊₁
In this case we have
1/2n+1≤1/10⁴
10⁴≤2n+1
(10⁴-1)/2≤n
(10⁴-1)/2 is approximately 5000.
Therefore, the number of terms that must be added together to achieve this series s is 5000.
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create a table of values and graph the following function rule. you must find at least 4 points in your table/graph. then, determine if the function is linear or non-linear, explaining your reasoning. show your work. y=2x^2-5.
then answer if the function is linear or nonlinear. explain?
please someone answer this ASAP I will give brainlist and 100 points!!!!! please.
Answers
The function y = 2x² - 5 is a nonlinear equation and the table of values is
x 0 1 2 3
y -5 -3 5 13
How to determine the category of the equation?From the question, we have the following equation that can be used in our computation:
y = 2x² - 5
As a general rule, a linear equation can take any of the following forms
Slope-intercept form: y = mx + xStandard form: Ax + Bx = CPoint slope form: y - Y = m(x - X)By comparing y = 2x² - 5 to the above forms, we can see that the equation does not take any of the forms represented above
This means that the function is not a linear function
i.e. The function is a nonlinear function
Also, we set x = 0, 1, 2 and 3
So, we have
y = 2(0)² - 5= -5
y = 2(1)² - 5= -3
y = 2(2)² - 5= 5
y = 2(3)² - 5 = 13
So, the table of values is
x 0 1 2 3
y -5 -3 5 13
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Review the four points on the complex plane. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point a is (1, 3), b is (negative 3, 1), c is (negative 1, negative 3), d is (3, negative 1). Which point represents the quotient of startfraction 3 minus i over i endfraction ? a b c d.
Answers
The complex numbers will be 3-i and I and the coordinates will be (-1,-3) or C point on the coordinate plane.
What is coordinate plane?Two number lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line. The origin is where the two axes come together. The coordinate plane can be used to graph points, lines, and other things.
Here,
A=(1,3)
B=(-3,1)
C=(-1,-3)
D=(3,-1)
=(3-i)/i
=-1-3i
The coordinates will be (-1,-3) that is C point on the coordinate plane and the complex numbers be 3-i and i.
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onstruct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint. 0.810.870.901.051.111.141.301.30 1.481.481.591.601.661.691.781.84
Answers
A sample observation results in a point estimate of 0.53 for the mean value of paint thickness.
The mean value theorem states that there is one point on a curve where the tangent is parallel to the secant running through the two points.
A low-viscosity paint sample with the following thickness is provided to us.
0.810.870.901.051.111.141.301.301.481.481.591.601.661.691.781.84
a) Point estimate of the mean value of coating thickness.
To estimate the mean coating thickness, we use the mean value of the sample.
mean= sum of all observations/total number of observations
mean=8.16/16
mean=0.53
Question:Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint. 0.810.870.901.051.111.141.301.30 1.481.481.591.601.661.691.781.84 Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.)
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3(n - 6) = 27
please help
Answers
Answer:
n=15
Step-by-step explanation:
In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new farmers and wants to know if there is a statistically significant increase in the percentage of good fruit. In a random sample of 475 pieces, 85 were bad.
Answers
The conclusion does not change if the significance level went from 7% to 5%.
According to the given situation, 79% of the fruits sold are good and whether there is an increase in the percentage of good fruit is to be tested. If there is no increase in percentage of good fruit, p = 0.79 and if there is an increase in percentage of good fruit, p > 0.79.
The test statistic is given by z = (X - µ)/(σ/√n)
In the given data, µ = 0.79 and σ = √(0.79(1-0.79) = 0.407
In a random sample n = 475 and 85 are bad.
Good fruits = 475 – 85 = 390
X = 390/475 = 0.8211
Hence,
z = (0.8211 – 0.79)/(0.407/√475) = 1.66
From the z-table, p value is 0.9515.
The p value of the test that no increase in percentage of good fruits = 1 – 0.9515 = 0.0485
If the p-value is less than 0.05 it is statistically significant. As 0.0486 is less than 0.05 and 0.07 there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit. It is true for each significance level. Hence, the change in significance levels does not change the conclusion.
Note: The question is incomplete. The complete question probably is: In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new farmers and wants to know if there is a statistically significant increase in the percentage of good fruit. In a random sample of 475 pieces, 85 were bad. How would the conclusion change if the significance level went from 7% to 5%?
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Which picture has an area equivalent to 3/4 shaded?
Answers
Answer:
ITS A
Step-by-step explanation:
What is 4/250 as a decimal and percentage
Answers
Answer:
As a decimal:0.016
As a percentage:1.6%
Step-by-step explanation:
Solve for x: x^2 + 6√3 x – 9 = 0
Answers
Step-by-step explanation:
use this equation : if , ax² + bx + c = 0 [tex] x \: = \frac{ - b \: \frac{ + }{ } \sqrt{ {b}^{2} - 4ac} \: }{2a} [/tex]so here, a = 1 b = 6√3 c = -9
let's use the formula .......
[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} \sqrt{36 \times 3 - 4(1)( - 9)} }{2(1)} [/tex]
[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} \sqrt{108 \: + 36} }{2} [/tex]
[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} \sqrt{144} }{2} [/tex]
[tex]x \: = \: \frac{ - 6 \sqrt{3} \frac{ + }{} 12 }{2} [/tex]
[tex]x \: = \: \frac{ - 6 \sqrt{3} + 12 }{2} [/tex] OR .......[tex]x \: = \: \frac{ - 6 \sqrt{3} - 12 }{2} [/tex]
so , X = -3√3 +6 ............ or X = -3√3 -6 ............if f(x)= 5x+7 then what is f(7)
A. 64
B. 42
C. 19
Answers
Answer:
f(7)= 42
Step-by-step explanation:
we fill in 7 where x is
f(7)=5(7)+7
f(7)=35+7
f(7)=42
Hopes this helps please mark brainliest
a newsletter publisher believes that 29% of their readers own a personal computer. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?
Answers
There's not enough evidence to refute the publisher's claim.
Here, we are given that a newsletter publisher believes that 29% of their readers own a personal computer.
The testing firm believes this is inaccurate and hence conducts hypothesis testing to verify the claim.
They take a significance level of 0.02 and fail to reject the null hypothesis.
The null hypothesis of the testing firm would be- 29% of the readers own a personal computer because this is what is established by the publisher.
They fail to reject this null hypothesis which means that there is not enough evidence at 0.02 significant level that the percentage is not 29%.
Thus, there's not enough evidence to refute the publisher's claim.
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What could be the right answer for this question? with explanation pls. :))
Answers
Answer:
x ≤ -5
Step-by-step explanation:
Treat this EXACTLY like you would an equation:
-3(x+4) ≥ x+8
-3x - 12 ≥ x + 8
-4x - 12 ≥ 8
-4x ≥ 20
Except here (when dividing BOTH sides by a negative):
-4x ≥ 20 ⇒ x ≤ -5
please help fast! ........................................................................
Answers
Answer: no i need this too :(
Step-by-step explanation:
divide the following polynomials (9x^4+3x^3y−5x^2y^2+xy3 ) ÷ (3x^2+2x^2y−xy^2)
Answers
Hence, the remainder is [tex]0[/tex] and the quotient is [tex]3x-y[/tex].
What is the polynomial?
A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here given polynomial is
[tex]\frac{9x^4+3x^3y-5x^2y^2+xy^3}{3x^3+2x^2y-xy^2}[/tex]
[tex]3x-y[/tex]
[tex]\sqrt[3x^3+2x^2y-xy^2]{9x^4+3x^3y-5x^2y^2+xy^3} \\\\[/tex]
[tex]9x^4+6x^3y-3x^2y^2+0[/tex]
-----------------------------------------
[tex]-3x^2y-2x^2y^2+y^3x[/tex]
[tex]-3yx^3-2y^2x^2+y^3x[/tex]
------------------------------------------
[tex]0[/tex]
Hence, the remainder is [tex]0[/tex] and the quotient is [tex]3x-y[/tex].
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The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answers
The scale factor of the figure of the two squares is 1.5
How to find the scale factorThe scale factor is determine using division
The formula involve:
let the scale factor be r then we say
area of square A * r = area of square B
8 * 8 * r = 12 * 12
64r = 144
r = 144 / 64
r = 1.5
using the dimensions
8r = 12
r = 12 / 8
r = 1.5
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w + 2 + 2(w + 3)
HELP FASTTTT
Answers
Answer:
Step-by-step explanation:
=w + 2 + 2w + 6
= 3w + 8
3w = -8
w =-8/3
Please I need help on this I don’t get how to do it, show your explanation please and thank you!
Answers
Answer:
B/A = 1/2
Step-by-step explanation:
You want the scale factor between the two figures shown.
Scale factorThe scale factor is the ratio of the length in one figure to the corresponding length in the other figure. Often, we're interested in the scale factor B/A, which is what A dimensions need to be multiplied by in order to match the B dimensions.
ApplicationYou can pick any corresponding dimensions. Often, it is convenient to choose a short one, so you don't have to count so many grid squares.
We can choose the line from the center, where the lines cross, up and to the right to the upper right corner. In the A figure, that line goes 2 squares to the right and 2 squares up. In the B figure, that line goes 1 square right and 1 square up. Then the scale factor is ...
(B dimension)/(A dimension) = 1/2
We can choose to look at the lengths of that line (A: 2√2; B: √2), or the x-dimension (A: 2; B: 1) or the y-dimension (A: 2; B: 1). All the measurements are proportional, so we get the same ratio for any pair of corresponding measures.
The scale factor B/A is 1/2.
__
Additional comment
The horizontal magenta lines in the attached figure are another possibility for determining the scale factor. B/A = 2/4 = 1/2.
You need to be careful to understand what scale factor you want. Sometimes it is described as "A to B", which can be ambiguous.
Here, the ratio of an A dimension to a B dimension is A : B = 2 : 1. The same wording can be interpreted to mean "the scale factor that multiplies A to transform it to B." That is the scale factor we have shown.
What is the answer to 2(3x - 10) + 3x
Answers
Answer: 9x - 20
Step-by-step explanation:
You can graph 2(3x - 10) + 3x.
Here is how I would do it:
First, Distribute
2(3x - 10) + 3x (Original)
6x - 20 + 3x (Distribute)
Second, Combine like terms
6x - 20 + 3x
9x - 20
Therefore, the solution to your problem is 9x - 20
suppose you want to perform a test to compare the mean gpa of all freshmen with the mean gpa of all sophomores in a college? what type of sampling is required for this test?
Answers
The type of sampling required for this test is Independent sampling with quantitative data.
Randomly chosen samples are known as independent samples since their results are independent of other observations' values. The premise that samples are independent underlies many statistical analyses.
In the hypothetical situation, independent sampling is required since the researcher needs two distinct samples: one from freshmen and one from sophomores. These samples are independent since there would be no relationship between them.
The information would be quantitative in nature. Student GPAs are the dependent variable in this study. Since GPA is a qualitative indicator, the kind of data being collected is also quantitative.
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Please help i am so confused
Answers
The domain and the range of the functions are given by the images at the end of the answer.
How to obtain the domain and the range of the function?The domain of a function is composed by the set that contains all possible values assumed by the input of the function. Hence, on the graph, it will be given by the values of x of the graph, the values assumed by the horizontal axis of the graph.
The range of a function is composed by the set that contains all possible values assumed by the output of the function. Hence, on the graph, it will be given by the values of y of the graph, the values assumed by the vertical axis of the graph.
The notations are given as follows:
Discrete functions -> composed by dots -> the domain and the range are given by the {}, as only the values are assumed, not intervals.Continuous functions -> continuous functions -> domain and range are given by intervals.More can be learned about the domain and range of functions at brainly.com/question/2264373
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the height of chance's beanstalk decreases by 50% per day when he stops feeding it. chance's beanstalk is 20 inches tall when he stops feeding it.
Answers
When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Consider your square as being composed of smaller unit squares.
The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.
Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.
Hence, When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t
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Jay is trying to simplify the following expressions 3x (3 +12 divided by 3) -4. What should be his first step in solving this problem
Answers
Jay is incorrect in doing addition first.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the expression as;
3x (3 +12 divided by 3) -4.
To simplify this expression, then must follow PEMDAS.
3x(3+12÷3)
3x(3+4)
3x(7)
21x
Which means that Jay is incorrect in doing addition first.
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Starting at 1:00 p.m., the temperature changes −4
degrees Fahrenheit per hour. Write and solve an equation to find how many hours x
it will take to reach −1°
F.
Answers
Answer: 9 hours
Step-by-step explanation:
here are a couple of things to notice here. You don’t have a starting temperature, so that will be an unknown. I will call it S.
The next thing to notice is that the current temperature (C) at any given time is just the starting temperature minus 4 times the number of hours (H) that have passed since 1 PM.
C = S – 4*H
We want to solve this for H when the current temperature (C) is -1.
-1 = S – 4*H
You can rearrange this by adding 4*H to both sides and adding 1 to both sides:
4*H = S + 1
Then you divide both sides by 4
H = (S+1)/4
This will tell you the number of hours PAST 1 PM that it takes to get to -1 degrees. Of course, you need to know the starting temperature, S, in order to get a numeric answer.
Let’s check this with an example. If the starting temperature were exactly 4 degrees above -1, then it should take exactly 1 hour. So let S = -1 + 4 = 3. If you plug 3 in for S, you do see that H becomes 1 hour PAST 1 PM (2 PM).
the weight distribution of parcels sent in a certain manner is normal with mean value 12 lb and standard deviation 3.5 lb. the parcel service wishes to establish a weight value c beyond which there will be a surcharge. what value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight (that is, only 1% are beyond c-1 lb)?
Answers
The value of c should be 20.2 so that 99% of all parcels are at least 1 lb under the surcharge weight (that is, only 1% are beyond c-1 lb).
What is surcharge?
Surcharges are extra fees or taxes, as the name implies. A 10% surcharge on a 30% tax rate effectively increases the total tax burden to 33%. A 10% surcharge is added to the tax obligation for people whose net taxable income exceeds Rs 1 crore. The surcharge is increased to 5% if the net income is greater than Rs 10 crore. If a company's net income surpasses Rs. 1 crore and Rs. 10 crore, they are both provided a margin of relief.
Solution Explained:
Given,
m = 12
d = 3.5
P(z<x) = 0.99 = ¢(Z)
Z = 2.33
Since Z = (x - m)/d
x = dZ + m
x = 3.5*2.33 + 12
x = 20.155 lb approximately
x = 20.2 lb
Therefore, the highest weight for 99% if the parcels is 20.2 lb.
That is, the surcharge weight = 20.2 + 1 = 21.2 lb
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the longer leg of a right triangle is three times as long as the shorter leg. the hypotenuse is $\sqrt 5.$ what is the area of this triangle?
Answers
The area of the triangle is 3/4 units.
What is area of the triangle?
The total area that is bounded by a triangle's three sides is referred to as the triangle's area. In essence, it is equal to 1/2 of the height times the base, or A = 1/2 b h. Therefore, we need to know the triangular polygon's base (b) and height (h) in order to calculate its area.
Suppose
x is the shorter leg of the triangle.
As the longer leg of a right triangle is three times as long as the shorter leg.
⇒ 3x is the longer leg of the triangle.
The hypotenuse of the triangle is, √5.
By using Pythagorean theorem,
[tex]x^2 + (3x)^2 = (\sqrt{5} )^2\\x^2 + 9x^2 = 5\\10x^2 = 5\\x^2 = \frac{5}{10}\\ x^2 = \frac{1}{2} \\x = \frac{1}{\sqrt{2} }[/tex]
⇒ Shorter leg of the triangle is 1/√2.
⇒ Longer leg of the triangle is 3/√2.
Now to find the area of the triangle.
Area of triangle = [tex]\frac{1}{2}(\frac{1}{\sqrt{2} })(\frac{3}{\sqrt{2} } )[/tex]
[tex]A = \frac{3}{4}[/tex]
Hence, the area of the triangle is 3/4 units.
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The glee club has $90 to spend on pens and pencils. Each pen costs $0. 75 and each pencil costs $0. 15. Write an equation that describes the numbers of pens, x, and pencils, y, that the glee club can buy. What is the greatest number of each type of writing tool that the club can buy?.
Answers
Part a: 0.75x + 0.15y = 90 is the equation that indicates how many club pens and pencils the glee club can purchase.
Part B: The maximum number of pens and pencils the club can purchase is 120 and 600 respectively.
Define the term linear equation?First order equations include linear equations. In the coordinate system, the linear equations get defined for lines. When a homogeneous factor of degree 1 is present in the equationThe stated values in the questions are-
Cost of one pen = $0.75
Let total number of pens be x.
Cost of one pencil = $0.15
Let total number of pencils be y.
Total cost (pens and pencils) = $90
Total cost = (Cost of one pen) x (Number of pens) + (Cost of one pencil)x(Number of pencils)
The equation modelling number of club pens and pencils is:
0.75x + 0.15y = 90
For the greatest number of pens ;
0.75x = 90
x = 90/0.75
x = 120
Thus, the greatest number of pens bought by club is 120.
For greatest number of pencils;
0.15y = 90
y = 90/0.15
y = 600
Thus, the greatest number of pencils bought by club is 600.
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