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3 years ago

Solve for x in the diagram below.

Mathematics

1 answer:

user100 [1]3 years ago

5 0

Answer:

x = 34°

Step-by-step explanation:

As you can see, in your pic there is a straight angle which is equal to 180°

Therefore, all the 3 angles combined will be equal to 180°

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Determine the quadratic equation for which the zeros are 1/3 and 5/2

Darya [45]

Answer:

y = 3(x2 – 7) = 3x2 – 21

Step-by-step explanation:

6 0

3 years ago

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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4 0

2 years ago

What is a number <br> between 1.63 and 1.64

Oksi-84 [34.3K]

Answer:

1.635

Step-by-step explanation:

6 0

3 years ago

2/3 of the cards are pitchers and 3/4 of the remainder are outfielders. If the 3 cards left over are infielders, how many cards

snow_tiger [21]

Answer:

2/3 + 3/4 = 1 52/125. That plus 3 is 4 / 52/125. Sorry if this isn't the right answer.

6 0

3 years ago

Can someone help me out with this ??

nalin [4]

Answer:

1. b > -2

2. x <= 3

Step-by-step explanation:

Question 1:

-2(b + 5) < -6

Divide both sides by -2. Remember to change the inequality sign.

b + 5 > 3

Subtract 5 from both sides.

b > -2

Question 2:

-(x - 10) >= 7

Divide both sides by -1. Remember to change the inequality sign.

x - 10 <= -7

Add 10 to both sides.

x <= 3

6 0

3 years ago