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Vladimir [108]
2 years ago
5

Please answer these and find the slope intercept form for each one. Best answer gets brainliest

Mathematics
1 answer:
aksik [14]2 years ago
7 0
11) y=1/4x+2.5

12) y=-2x+8
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If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

As per theorem:

Hypotenuse^{2} = Base^{2} + Height^{2}\\

\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 =  100\\\Rightarrow l = 10\ units

Lateral surface area of square prism = 4 \times Area of triangular surface

\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units

Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
3 years ago
The regular price of running shoes is $89.00. They are on sale for 20% off.
noname [10]

Answer:

a. 17.80 b. 71.20

Step-by-step explanation:

I used to hate percents. Let me teach you a trick:

take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)

any other follow up questions? Just ask :)

8 0
2 years ago
Which fraction is closer to than 1?<br> 7/8<br> 10/12<br> 12/14<br> 7/10
Zigmanuir [339]

Answer:

7/8

Step-by-step explanation:

The fraction closest to 1 is 7/8 because it is only 1/8 piece away from one.

3 0
2 years ago
Line j is parallel to line k. Find the m
Rufina [12.5K]

Answer:

- 8.14 = m = slope

Step-by-step explanation:

We know from the diagram that  8x-7  + 5x+18  = 180    so x = 13

  so 8x -7  =  97

slope = tan 97 = -8.14

8 0
2 years ago
A rectangular section of granite is being cut so that the length is 3 times the width. The perimeter of the section must be less
s344n2d4d5 [400]

Answer:

D.

The length of the granite must be less than 120 inches.

Step-by-step explanation:

Let x inches be the widht of the section. If the length is 3 times the width, then the length is 3x inches.

The perimeter of the rectangle is

P=2(\text{width + length})

Hence,

P=2(x+3x)=2\cdot 4x=8x

The perimeter of the section must be less than 320 inches, so

8x

8 0
3 years ago
Read 2 more answers
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