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2 years ago

What's the answer to this question?

Mathematics

2 answers:

Wewaii [24]2 years ago

5 0

Answer: 10

Step-by-step explanation:

Use Pythagorean theorem!

a^2+b^2=c^2

6^2+8^2=c^2

64+36=c^2

100=c^2

Take the square root of 100 and you get c=10

Papessa [141]2 years ago

4 0

Answer:

By using the legs, we know a^2+b^2=c^2, so c=10

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What is the length of the side labeled x cm?

UkoKoshka [18]

When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
side x = 9.18484 / 0.97437

 side x = 9.4264396482

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2 years ago

Range of f(x) = x2 + 1?

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Step-by-step explanation:

-1<x<infinity this is answer I guess

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3 years ago

The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is

SashulF [63]

Answer:

Step-by-step explanation:

Volume = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4) = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0

3 years ago

The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference

Naya [18.7K]

Answer:

20.3 units

Step-by-step explanation:

Write and solve an equation involving ratios:

5 units 15.7 units

------------- = ----------------

9 units C

Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."

Then 5C = 141.3, so that C = 141.3 units / 5 = 20.3 units.

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2 years ago

Read 2 more answers

(7x2+3x-6)-(-4x2+x-2)

Alex17521 [72]

The correct answer is 4 ( 6x - 1 )

7 0

3 years ago

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