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maxonik [38]
2 years ago
12

class="latex-formula">
Mathematics
1 answer:
Igoryamba2 years ago
5 0

Step-by-step explanation:

3x + 7 = 12- 2x \\ 3x + 2x = 12 - 7 \\ 5x  = 5 \\ x =  \frac{5}{5}  \\ x =1

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ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
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Answer:

A

Step-by-step explanation:

The angles in a quadrilateral add up to 360 degrees.

100 + 87 + 106= 293

360 - 293 = 67

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When positive integer a, which has n digits, is multiplied by (n 2), the product is a number with (n 1) digits, all of whose dig
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yulyashka [42]
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3 years ago
The diameter of a sphere is measured to be 4.17 in.
gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

<h2>a).</h2>

We can find the radius using the formula

radius =  \frac{diameter}{2}

From the question

diameter = 10.59 cm

So we have

radius =  \frac{10.59}{2}

<h3>radius = 5.30 cm</h3>

<h2>b).</h2>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

<h2>c).</h2>

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\frac{4}{3} \pi  {r}^{3}

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The volume of the sphere is

\frac{4}{3} ( {5.30})^{3} \pi

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

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3 0
3 years ago
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