Answer:
51.9 sec
Step-by-step explanation:
Write an expression for the area and perimeter for the figure shown
Answer:
Area = 3x² + 7x + 3
Perimeter = 8x + 8
Step-by-step explanation:
The figure can be decomposed into two: a large rectangle and a smaller rectangle.
✍️Dimensions of the large rectangle:
Length = (x + 1) + x = x + 1 + x = (2x + 1)
Width = (x + 3)
Area = length × width
Area = (2x + 1)(x + 3)
Expand
2x(x + 3) +1(x + 3)
2x² + 6x + x + 3
Area = 2x² + 7x + 3
✍️Dimensions of the large rectangle:
Length = x
Width = x
Area = length × width
Area = x × x = x²
✍️Area of the figure = area of the large rectangle + area of the smaller rectangle
Area of the figure = (2x² + 7x + 3) + x²
Area of the figure = 2x² + x² + 7x + 3
✅Area = 3x² + 7x + 3
✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x
✅Perimeter = 8x + 8
Consider the reduction of the triangle.
A triangle has side lengths 10 centimeters, 85 centimeters, and 62 centimeters. A smaller triangle has side lengths A, B, 6.2 centimeters.
Use the measurements of the original figure and the scale drawing to calculate the scale factor and missing measures.
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Answer:
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Step-by-step explanation:
The scale factor and missing measures are 1/10, A = 1, B = 8.5
What is scale factors?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given are measurements of two triangles, we need to find the missing sides and the scale factors,
So, the scale factor = new measurement / original measurement = 6.2/62 = 1/10
Now, using the definition of the similar triangles, the ratio of the corresponding sides are equal,
62/6.2 = 85/B
10 = 85 / B
B = 8.5
Now,
62/6.2 = 10/A
10 = 10/A
A = 1
Hence, the scale factor and missing measures are 1/10, A = 1, B = 8.5
Learn more about scale factors, click;
https://brainly.com/question/29464385
#SPJ3
Y= 1/2x + 2 Solve please!
(IF SOLVING FOR Y) y= x/2+2
(IF SOLVING FOR X) x=2y-4
PLLLLLZZZZZ HEEEEEELP
leaves on deciduous trees turn bright colors in the fall due to:
a
Chemicals in the leaf
b
nutrients getting cut off by the tree to the leaves
c
Cold weather
d
too much water
Answer:
a i think
Step-by-step explanation:
how to solve the equation 8b - 12 = 5b
Answer:
b = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
8b - 12 = 5b
Step 2: Solve for b
Subtract 5b on both sides: 3b - 12 = 0Add 12 on both sides: 3b = 12Divide 3 on both sides: b = 4Step 3: Check
Plug in b to verify it's a solution.
Substitute: 8(4) - 12 = 5(4)Multiply: 32 - 12 = 20Subtract: 20 = 20And we have our final answer!
The graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the household spends on chores per week. Which equation best models this data set?
A. y = 0.34x + 5.19
B. y = -0.34x - 5.19
C. y = 0.34x - 5.19
D. y = -0.34x + 5.19
Answer:
Option (D)
Step-by-step explanation:
Equation to represent the household expenditure per week will be in the form of,
y = mx + b
Where m = slope of the line
b = y-intercept
From the graph attached,
Since, line of best fit touches the positive side of the y-axis, y-intercept will be positive.
Since, y-values on the graph are decreasing with the increase in the x-values,
Slope of the graph will be negative.
[Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex], Since rise of the line is negative and run is positive, slope will be negative]
By these properties equation of the linear graph will be,
y = -0.34x + 5.19
Option (D) will be the correct option.
The equation that best models this data set is y = -0.34x + 5.19
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the time spent on chores for x household members.
From the graph, the line passes through (3, 4.25) and (8, 2.5). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4.25=\frac{2.5-4.25}{8-3}(x-3) \\\\y-4.25=-0.35(x-3)\\\\y=-0.34x+5.2[/tex]
The equation that best models this data set is y = -0.34x + 5.19
Find out more at: https://brainly.com/question/13911928
Steve is looking up at Godzilla with an angle of elevation of 49 degrees. If Steve is 400 feet away, how tall is Godzilla to the nearest foot?
9514 1404 393
Answer:
460 feet
Step-by-step explanation:
The tangent relates the measures to the angle:
tan(angle of elevation) = (Godzilla height)/(distance away)
tan(49°) = (Godzilla height)/(400 ft)
Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft
Godzilla is 460 feet tall.
Answer:
godzilla is 393 foot tall
Step-by-step explanation:
A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight losses is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with 90% confidence?
Answer:
68
Step-by-step explanation:
To get the sample size of the population, we will use the formula for calculating the standard error of the mean. This is expressed as;
SE = zσ/√n
z is the z score at 90% confidence
σ is the standard deviation
n is the sample size
SE is the mean weight loss
Given
z = 1.645
σ = 10
SE = 2
Required
sample size n
Substitute into the given equation;
SE = zσ/√n
2 = (1.645)(10)/√n
2 = 16.45/√n
√n = 16.45/2
√n = 8.225
n = (8.225)²
n = 67.650625
Hence the total sample should be about 68
Circle A is shown with a central angle marked 37 degrees and the radius marked 10 inches. Which of the following could be used to calculate the area of the sector in the circle shown above?
π(10in)237 over 360
π(10in)37 over 360
π(37in)210 over 360
π(37in)10 over 360
Answer:
π(10in)237 over 360
Step-by-step explanation:
i took the same test and got it right :)
The area of the sector of the circle is [tex]\frac{100\pi }{360} *37[/tex]
To understand more, check below explanation.
Area of the sector of the circle:To find the area of the sector of circle, we use formula,
[tex]Area=\frac{\pi r^{2} }{360} *\theta[/tex]
where r is radius of circle and [tex]\theta[/tex] is the central angle.
Given that, r = 10 inches, [tex]\theta[/tex] = 37 degrees.
Substitute above values in above formula.
[tex]Area=\frac{\pi (10)^{2} }{360} *37\\\\\\Area=\frac{100\pi }{360} *37[/tex]
Learn more about the sector of the circle here:
https://brainly.com/question/22972014
The width of a rectangle is 2 and the length is 2.what is the area of the rectangle
Answer:
2x2+ 4 The area is 4 in
Step-by-step explanation:
What does the speaker do well here? Check all that apply. asks questions prepares thoroughly includes information and opinions responds to questions speaks mostly about her opinions
Answer: B C D
Step-by-step explanation:
What are the intercepts of –3x + 5y – 2z = 60? (–3, 0, 0), (0, 5, 0), (0, 0, –2) (–180, 0, 0), (0, 300, 0), (0, 0, –120) (–20, 0, 0), (0, 12, 0), (0, 0, –30) (–60, 0, 0), (0, 60, 0), (0, 0, –60)
Answer:
(-20, 0, 0)
(0, 12, 0)
(0, 0, -30)
Answer:
(-20, 0, 0)
(0, 12, 0)
(0, 0, -30)
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)
Write the equation of the line that is parallel to y=4x-3 and passes through the point (5,12)
Answer?
____________
Answer
y=4x-8
Step-by-step explanation:
m = 4
y- 12 = 4(x-5)
simplify and keep it in point-slop form
y=4x-8
17. Brendan works as a car salesman. He earns a salary of $1,000 per month, plus a commission of 3% on all sales. If he sold $250,000 worth of cars in May, what would his total earning be for the
month?
Answer:
His total earning for the month would be $8,500.
Step-by-step explanation:
In order to calculate the total earnings for the month, you have to find the 3% of the amount of the sales and add the monthly salary:
Monthly earnings=($250,000*3%)+$1,000
Monthly earnings=$7,500+$1,000
Monthly earnings=$8,500
According to this, the answer is that his total earning for the month would be $8,500.
Answer:
The Answer Is $8,500
Step-by-step explanation:
I just took the test
An equation is a mathematical statement composed of algebraic and/or numeric expressions set equal to each other.
True
False
Answer:
True,
Definition of equation for you: a statement that the values of two mathematical expressions are equal (indicated by the sign =).
A 7-foot piece of cotton cloth costs $7.56. What is the price per inch?
Answer:
$.09 per inch
Step-by-step explanation:
1 foot = 12 inches
Multiply each side by 7
7 ft = 12*7 = 84 inches
Take the cost and divide by the number of inches
$7.56 / 84 inches
$.09 per inch
Answer: 0.09 per inch because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56
Step-by-step explanation:
25 points if u get it right im in 7th grade so its easy for some ppl
The original price of a chair was $545.00. The store had a sales tax of 4.5%. What is the exact price of the chair, including tax?
Answer:
569.525 so actually $569.53 probably
Step-by-step explanation:
545*0.045=24.525
24.525+545
A simple "Pick-3" lottery consists of players picking three digits from 0 to 9 with repeats allowed. It costs
$1 to play, and a player wins $500 if they match all three numbers drawn. Jaime decides to buy 10 tickets
to improve their chances of winning,
The table below displays the probability distribution of X the amount of money Jaime profits from this
strategy
Win
Lose
--$10
X = profit $490
P(X)
1%
99%
Given that px = -$5, calculate ox.
Round your answer to two decimal places.
σX
dollars
Show Calculator
Answer:49.75 dollars
Step-by-step explanation:
Khan academy
Someone help me please
Find the measure of 0.(to the nearest tenth)
Answer:
Y
Step-by-step explanation:
Yes
A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?
Answer:
≈3.11
Step-by-step explanation:
The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.
What is the value of the quantity after 21 days?When a quantity decays , it means that the value of the quantity declines with the passage of time.
The formula that can be used to determine the value of the quantity after a number of weeks is :
FV = P (1 - r)^n
Where:
FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks920 x (1 - 0.85)^3
920 x 0.15^3 = 3.11
To learn more about exponential function, please check: brainly.com/question/18760477
number 4
solve for x
Answer:
D
Step-by-step explanation:
7x+12+40=11x+6
7x+52=11x+6
48=4x
12=x
Answer:
12
Step-by-step explanation:
(11x + 6)° = (7x + 14)° + 40°
11x + 6 = 7x + 14 + 40
4x = 48
x = 12
What is the value of x in the equation 4(2x − 1) = 2x + 35?
Answer:
x = 6.5 or 13/2
Step-by-step explanation:
4(2x − 1) = 2x + 35
distribute the 4 to 2x - 1
8x - 4 = 2x + 35
subtract 2x
6x - 4 = 35
add 4
6x = 39
divide by 6
x = 6.5 or 13/2
Find the value of r so the line that passes through each pair of points has the given slope.
Point 1:(-7,2)
Point 2:(-8,r)
m = -5
Answer:
7
Step-by-step explanation:
[tex]\frac{r - 2}{-8+7} = -5[/tex]
r - 2 = - 5(- 1) ⇒ r = 7
Which expression shows 0.027 written in expanded form?
A
(2 x 10) + (7 X 1)
B.
(0 + 2 + 7) X 0.001
С
(2 x 0.1) + (7 x 0.01)
D
(2 x 0,01) + (7 % 0,001)
Answer:
D. (2 x 0,01) + (7 % 0,001)
Answer:
jhghgfg
Step-by-step explanation:
Which represents the solution set of the inequality 5x-921
2 with the exponent of 2 ⋅(45÷9) - 3
i need the answer
Can someone help with this
Answer:
The missing angle is 50 degrees.
Answer:
50°
Step-by-step explanation:
Knowing that this is a parallelogram, you can infer that the adjacent angles of the polygon must add up to 180 degrees by definition. Using what is given, you would take [tex]180 - 130[/tex] to get your answer, [tex]50[/tex]°.
Hoped this helped!
A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?
Answer: $50
Step-by-step explanation:
Rounding the numbers, you get 70-20, which equals $50
Tom has a solid, wooden block that is a rectangular prism with non-square bases. He saws the prism parallel to the base. What shape is the cross section?
rectangle not square
triangle
diamond
square
Answer:
A) Rectangle
Step-by-step explanation:
Hope this helps :D