Four congruent right triangles are cut off the corners of a square. The diagram below shows
the dimensions of thesquare and the congruent right triangles.

What is the area of the shaded part of the diagram?
A. 18 sq. in
B. 20 sq. in
C. 28 sq. in
D. 34 sq. in

Answer:

heyy do you still need help

Step-by-step explanation:

Answer:

this is my answer

5n (5n - 1)

4n (8 + 7) - 20

Answer:

I'm sorry I don't know wish I could help you out

Answer:

D'=(1,-1)

Step-by-step explanation:

If you dialate by 1/2 then all you have to do, is find half of point D. so point D sits at (2,-2) and half of 2 would be (1,-1).

The dilated coordinates of D(2,-2) = D'(1,-1).

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

From the graph,

we interpreted the coordinates of D (2,-2).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the dilation of transformation

The basic formula to find the scale factor of a dilated figure is:

Scale factor = coordinates of the new shape ÷ coordinates of the original              shape.

That means,

multiply the factor to the coordinates.

D' = (2 x 1/2, -2 x 1/2)

D' = (1, -1)

Therefore, the coordinates after the dilation D' (1,-1).

To learn more about the dilation in geometry;

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1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:

2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:

Learn more about time calculation in https://brainly.com/question/14695611

Answer:

1) It takes 1435.75 hours for Mercury to complete a full rotation.

2) The weed can grow at 0.445 inches per hour.

Step-by-step explanation:

Answer:

x=2.0

Step-by-step explanation:

Assuming side x is tangent to the circle, we know that this is a right triangle

One of the sides is the radius. We know the radius is 1.5 units long

The other is 1.5+1 units. The length of this side is 2.5 units.

Using the pythagorean theorem...

x²+1.5²=2.5²

x²=6.25-2.25

√x²=√4

x=2

Hope this helps!

Answer:

1. growth

2. decay

3. growth

4. decay

Answer:

Step-by-step explanation:

Growth: anything in the parenthesis that is greater than 100% or 1 | > 1

Decay: anything in the parenthesis that is less than 100% or 1  | < 1

(1 + r) = growth

(1 - r) = decay

r = rate of growth

[tex]f(x)=485(1.98)^t < ==|(1+0.98=1.98)| > 1= > growth\\[/tex]

[tex]f(x)=\frac{1}{4}(0.18)^t < ==|(1-0.82=0.18)| < 1= > decay[/tex]

[tex]f(x)=46(1.001)^t < ==|(1+0.001=1.001)| > 1= > growth[/tex]

[tex]f(x)=0.08(0.34)^t < ==|(1-0.66=0.34)| < 1= > decay\\[/tex]

Hope this helps!

Answer:

An equation for the slope and y-intercept would be y=-3/5x-3

Step-by-step explanation:

Remember the formula for this, y=mx+b, in which the m stands for the slope and the x would be next to the slope always because the slope is ever changing, and the b stands for the y-intercept or in other words, where the line crosses the y-axis not the x-axis.

Answer:

y = -3/5x - 3

Explanation:

The format of slope-intercept is:

[tex]\sf{y = mx + b}[/tex]

Where:

So to write the equation, I just plug the data into y = mx + b:

[tex]\sf{y=-\dfrac{3}{5}x+(-3)}\\\\\sf{y=-\dfrac{3}{5}x-3}[/tex]

Hence, the equation is y = -3/5x - 3.

Answer:

815.76 is your answer

Step-by-step explanation:

Answer:

it is rational

Step-by-step explanation:

trust me

Answer:

1 year and a half or 18 months

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You can't add without first doing the terms of 2^3---(PENDAS)

Answer: <C = 63°

Step-by-step explanation:

The interior angles in all triangles always equal 180°

47 + 70= 117

180 - 117 = 63°

<C = 63°

hope this helps :)

~Denki Kaminari here~

Answer:

its a best fit line

Step-by-step explanation:

because it is in-between the blue and yellow points, that is what i assume the answer is.

hope this helps :D

Answer:

oblique line.

Step-by-step explanation:

hops this helps

Answer:

Step-by-step explanation:

Distance can be calculated using a distance formula.

Distance formula:

[tex]\Longrightarrow: \sf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

The distance between (-3,-4) and (2,-4) are:

[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}}[/tex]

Then, you solve.

[tex]\Longrightarrow:\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}=\boxed{\sf{5}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Out of the two sums, B is the closest to the value to 1/2.

Steps for A:

Change 1/3 to 5/15

2+5/15

= 7/15

7/15 as a decimal: 0.46

0.50 - 0.46 = 0.04

Steps for B:

Change 6/7 to 18/21

Change 1/3 to 7/21

18-7/21

= 11/21

11/21 as a decimal: 0.52

0.52 - 0.50 = 0.02

Answer:

No

Step-by-step explanation:

x + 1 is not a factor of the polynomial because the remainder is 2 and not 0

Answer:

$22.11. $23.41. $23.79.

Step-by-step explanation:

2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.

Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.

Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some

The two angles shown are vertical angles which men they equal each other:

9n = 8n + 8

Subtract 8n from both sides:

N = 8

->Solution

i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]

or, 9n - 8n = 8

or, n = 8

therefore, value of n is 8

Now,

ii) 9n = 9 X n = 9 X 8 = 72 degrees

iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees

Answer:

6+8 is 14 and 14/2 is 7.

Step-by-step explanation:

the answer is 7

Answer:

3/100

Step-by-step explanation:

3 students out of 10 were chosen  and the fourth heaviest is 1/10

3/10 * 1/10 = 3/100

Answer:

9.4

Step-by-step explanation:

Hey there!

The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000

In order to answer this, we need to make 7,000 equal to the equation:

7000=5000+5000(0.0425t)

Subtract 5000 from both sides

2000=5000(0.0425t)

Now we simplify the RHS

2000 = 212.5t

Now you divide both sides by 212.5 to get t by itself

t=9.41

So it would take 9.4 months for the loan amount to reach 7000

Answer:

AB = 4.7 to the nearest tenth

Step-by-step explanation:

Usine the Sine Rule:

6/sin71 = AB/sin48

AB = (6 * sin48)/ sin71

= 4.716

Transforming the function f(x) would change its formula to g(x)

The transformation of f(x) to g(x) are

The function is given as:

f(x) = e^x

Shift the function 2 units left

f'(x) = e^x + 2

Shift the function 3 units up

f''(x) = e^x + 2 + 3

Rewrite as:

g(x) = e^x + 2 + 3

Hence, the transformation of f(x) to g(x) are (b) and (c)

Read more about transformation at:

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Answer:

14.7÷41.4=0.355

the answer is 0.355

Answer:

[tex]a_{16}=26.5[/tex]

Step-by-step explanation:

Arithmetic series:  [tex]a_n=a+(n-1)d[/tex]

Sum of arithmetic series:  [tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

(where a is the first term and d is the common difference)

Given:

[tex]\implies a_{25}=44.5[/tex]

[tex]\implies a+(25-1)d=44.5[/tex]

[tex]\implies a+24d=44.5[/tex]

[tex]\implies S_{30}=765[/tex]

[tex]\implies \dfrac{30}{2}[2a+(30-1)d]=765[/tex]

[tex]\implies 30a+435d=765[/tex]

Rewrite [tex]a+24d=44.5[/tex] to make a the subject:

[tex]\implies a=44.5-24d[/tex]

Substitute found expression for a into [tex]30a+435d=765[/tex] and solve for d:

[tex]\implies 30(44.5-24d)+435d=765[/tex]

[tex]\implies 1335-285d=765[/tex]

[tex]\implies 285d=570[/tex]

[tex]\implies d=2[/tex]

Substitute found value of d into [tex]a=44.5-24d[/tex] and solve for a:

[tex]\implies a=44.5-24(2)=-3.5[/tex]

Therefore:

[tex]\implies a_{16}=-3.5+(16-1)2=26.5[/tex]

Answer:

Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.

Step-by-step explanation:

The area of either of these floors is found by multiplying length by width:

A = L*W.

Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2

Carter's is 14.4 ft by 9.6 ft:  A = 138.24 ft^2

Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.

The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.

The equation that represents a linear relationship is: a + bx

Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.

Looking at the table, the average final grade does not increase by a constant term.

To learn more about linear functions, please check: https://brainly.com/question/26434260

Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.

In this problem, σ is not​ known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.

Using a t-distribution calculator, considering a confidence level of 99​% and 56 - 1 = 55 df, the critical value is t = 2.6682.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer :

59+55+854+456+456+7894=9,774