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vovangra [49]
3 years ago
13

Find the exact value of x.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

(3√2)² = 18

using the Pythagorean theorem:

x² = 18 + 18 = 36

x = √36 = 6

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What is the measure of angle B in degrees
Hunter-Best [27]

Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.

This means that by the exterior angle theorem, m\angle B=51^{\circ}+68^{\circ}=\boxed{119^{\circ}}

8 0
2 years ago
Molly is designing a dog house for her puppy that has a rectangular base. The length of the base is 7 inches more than its width
Mariana [72]

We assume w is the number of <em>inches</em> of width (as opposed to <em>feet</em> or some other measure). The length is 7 inches more than the width, so is w+7. The area is the product of these dimensions, and the problem statement tells us that area is greater than 375 in².

... w(w+7) > 375 . . . . . the inequality that can be used to find dimensions

5 0
4 years ago
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Find a solution to the equation if possible. Give the answer in exact form and in decimal form.
Svetach [21]
I hope this helps you

3 0
3 years ago
What is the approximate volume of the cone?
Mnenie [13.5K]

Answer:

A. 1206 cm³

Step-by-step explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr²\frac{h}{3}

We know the radius = 12

and the height = 8

Substitute :

V = π12²\frac{8}{3}

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V = \frac{2^4*3^2*8\pi }{3}

Cancel the common factor - 3 :

V = 2^4 * 8 * 3\pi

Multiply 8 and 3π :

V = 2^4 * 24\pi

Solve the exponent :

V = 16 * 24\pi

Multiply :

V = 384\pi

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³

3 0
3 years ago
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GrogVix [38]

Answer:

1962/18=109.

Division sign

Step-by-step explanation:

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