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Olivia's father is going to build a new
deck in the backyard. He draws this
design for the deck.
What is the area of the deck

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

These right triangles are similar due to the Angle Angle Similarity Theorem.

This means their side lengths are proportional

We need to find the corresponding sides of the inner triangle and full right triangle.

7 corresponds with 7 and 3.5

4 corresponds with x.

Set up proportion.

[tex] \frac{4}{7} = \frac{x}{7 + 3.5} [/tex]

[tex] \frac{4}{7} = \frac{x}{10.5} [/tex]

[tex]42 = 7x[/tex]

[tex]x = 6[/tex]

Answer:

As the temperature increases, the number of people at the pool increases.

Part B: I think the line best fit can be one that starts at (0,0), and goes up until (28,12). The approximate slope would be 0.42, and the y-intercept is 0.

SLOPE:

(28,12)

y / x = m

12 / 28 = 0.42

Y-INTERCEPT:

​(0,0)

= 0

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

First you divide 600 by 5 to get 1/5 if the 600 which is 120

Then you add the 120 to the 600 which is your answer 720

Answer:

Fraction mulitiplication adding its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Is is right?

Answer:

2

Step-by-step explanation:

Answer:

The answer is 2, i did the instruction on edge already.

Step-by-step explanation:

Answer:

X = 8

Step-by-step explanation:

Kindly check the image below for the relationship between two segments in a circle that intersect

A * B = C * D

This relationship is important to understand when trying to solve for x in this type of problem

Now imagine that A = 15 B = x C = 10 and D = 12

Now we want to create an equation

( Using the relationship )

15 * x = 12 * 10

Now we solve for x using basic algebra

12 * 10 = 120

15x = 120

* divide each side by 15 *

15x/15 = x

120 / 15 = 8

we're left with x = 8

Answer:

It should be 4.25.

Answer:

d=10.0002

Step-by-step explanation:

Given That:

Height=h=28 inches

Volume=V=732.7 cubic inches

Required:

Diameter of the base of the cone=d=?

Solution:

the formula for the volume of a cone is

re-arranging the terms to get the radius (r)

putting values, we get

to find the diameter we know that diameter is double of the radius so

d=2r

d-2(2.0051)

d=10.0002

Answer: 1/3.(√3/4)×40×40 ×5√(5

Step-by-step explanation:

Answer:

200 m^3

Step-by-step explanation:

1) find the side of the base

side = 40 : 4 = 10 m

2) find the base area

base area = side^2 = 10^2 = 100 m^2

3) find the Volume

V = (base area x height)/3 = (100 x 6)/3 = 200m^3

The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.

When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.

That is  when x1 < x2 then f(x1) ≥ f(x2)

Let F(x) = 4

Thus

f(4) = -(4)² + 4(4) -4

=  16 + 16 - 4

= 28

Now, let F(x) = 2

Thus

f(2) = -(2)² + 4(2) -4

= 4 + 8 - 4

= 8

Note that X1 = 4 and X2 = 2

Thus  x1 < x2 then f(x1) ≥ f(x2).

Hence Option C is the decreasing function.

Learn more about decreasing functions at;
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Answer:

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

A (base) 6

B (Base) 12

H (height) 4

9514 1404 393

Answer:

  (b)  1.4"

Step-by-step explanation:

A 2.8" circle is one that has a diameter of 2.8". The divider will be set to the radius, which is half the diameter.

The divider is set to 1.4".

Answer:

The first lower quartile is 15

The median is 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]

=> 4(x-2) = 3(x+2) [Cross Multiplication]

=> 4x - 8 = 3x + 6

=> 4x - 3x = 8 + 6

=> x = 14 (Ans)

Answer:

Step-by-step explanation:  Given is a function as 1 divided by the quantity x minus 10 squared

Mathematically translating we get

the function

Since the function become undefined at x=10 we get

vertical asymptote is

x=10

Limit x tends to 10 of f(x) will exist since both limits are equal

This is because let x tends to 0 from left.

Then we have

f(x) =  

Right limit also will be +infinity

This is because the curve is symmetrical about x=10 and hence limit would be +infinity.

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

18 will be your answer

Step-by-step explanation:

Answer:

The answer is 18.

Step-by-step explanation:

[tex] \frac{x}{16} = \frac{9}{8} [/tex]

[tex]x = \frac{9}{8} \times 16[/tex]

[tex]x = \frac{9 \times 16}{8} [/tex]

[tex]x = \frac{144}{8} [/tex]

[tex]x = 8[/tex]

Therefor, the answer is x = 8.

Answer:

9.2722

Step-by-step explanation:

7.400

*1.252

_____

9.2722

Its simple, plz rate 5 str, thx, and brailiest

Answer:

distribute

2(w-1)

a(b-c)=ab-ac

(3)(5)+(2)(w)+(2)(−1)

=15+2w+−2

combine like terms

15+2w+−2

=(2w)+(15+−2)

=

Step-by-step explanation:

https://qcv.gg/rXpglU

Answer:  78.064 cubic meter

Step-by-step explanation:

volume of a cuboid=length × breadth × height.

                                =5.6*4.1*3.4

                                =78.064 cubic meter

Answer:

E. 150°

Step-by-step explanation:

By exterior angle theorem:

[tex]x = 40 \degree + (70 - 180) \degree \\ x= 40 \degree + 110 \degree\\ x= 150 \degree[/tex]

Answer:

I think that is false

Step-by-step explanation:

A pentagon has 5 sides

The statement "a polygon that has four sides and four angles is a pentagon" is false.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

A polygon with four sides is known as a quadrilateral, therefore, the statement "a polygon that has four sides and four angles is a pentagon" is false.

Learn more about Quadrilateral:

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Answer:

E=12t+30 C=7t+75

Evelyn has more in savings than Cooper when  t > 9 weeks.Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

r = (1/4)((1500/1000) - 1) = 0.125

r = 0.125 = 12.5%

Answer:

348m^2

Step-by-step explanation: