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iris [78.8K]
3 years ago
14

What is the value of s? ? units

Mathematics
2 answers:
Anton [14]3 years ago
8 0
Pythagoras theorem:
hypotenuse²=leg₁²+leg₂²

Data:
leg₁=8
leg₂=15
hypotenuse=s

hypotenuse²=(8)²+(15)²
hypotenuse²=64+225
hypotenuse²=289
hypotenuse=√289
hypotenuse=17

Answer: s=17
Evgesh-ka [11]3 years ago
7 0
By Pythagoras' Theorem.

s² = 8² + 15²

s²= 64 + 225

s² = 289

s = √289

s = 17
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Find the area of the circle. Round your answer to two decimal places, if necessary.​
nirvana33 [79]

Answer:

379.94 in.²

Step-by-step explanation:

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

a=\pi r^2

In the image, the diameter is shown.

To find the radius of a circle, divide the diameter by 2.

22/2=11

The radius of this circle is 11 inches.

Next, multiply the radius by itself twice.

11*11=121

Lastly, multiply the product by pi (3.14).

121*3.14=379.94

Therefore, the area of this circle is 379.94 inches squared.

3 0
3 years ago
How many whole cans can the company make out of each sheet of metal?
klio [65]

Answer:

18

Step-by-step explanation:

Total Surface Area of the Metal Sheet =1000\:in^2

Given a cylinder with diameter 3 Inch and height 4\frac{1}{4} in

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder =2\pi r^2+2\pi rh

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<u>Total Surface Area of each can </u>

2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2

<u>Number of Cans that can be Made </u>

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

=1000 \div 17.25\pi\\=18.45

Therefore, the company can make 18 whole cans from each sheet of metal.

6 0
3 years ago
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6 0
3 years ago
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miskamm [114]
I need help with this too haha I can't find it anywhere
4 0
2 years ago
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SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
Sloan [31]

ANSWER

P-G = 11{w}^{4} - 5 {w}^{2}  {z}^{2}   - 4z^{4}

EXPLANATION

The given polynomials are:

G =  - 3 {w}^{4}  + 2 {w}^{2}  {z}^{2}  + 5z^{4}

and

P = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}

We want to subtract these two polynomials.

P-G = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}  - (- 3 {w}^{4}  + 2 {w}^{2}  {z}^{2}  + 5z^{4} )

Expand the right hand side to obtain:

P-G = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}   + 3 {w}^{4}   -  2 {w}^{2}  {z}^{2}   -  5z^{4}

Group the similar terms:

P-G = 8 {w}^{4}  + 3 {w}^{4}- 3{w}^{2}  {z}^{2} -  2 {w}^{2}  {z}^{2}   -  5z^{4} + z^{4}

Combine the similar terms to get:

P-G = 11{w}^{4} - 5 {w}^{2}  {z}^{2}   - 4z^{4}

7 0
3 years ago
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