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zavuch27 [327]
3 years ago
13

How do i solve this?

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

  x = 5

Step-by-step explanation:

The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:

  top segment/bottom segment = x/(x+5) = (x-2)/(x+1)

Multiply by the product of denominators:

  (x +1)x = (x +5)(x -2)

  x² +x = x² +3x -10 . . . . . eliminate parentheses

  10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation

  5 = x . . . . . divide by 2

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Answer:

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches

8 0
2 years ago
Which statement is true? A Angle 2 and angle 4 are vertical angles. B. Angle 3 and angle 6 are complementary angles. C. Angle 1
MrRa [10]

Answer:

B angle 3 and 6 are complementary angles

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3 years ago
A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0
3 years ago
Please help I need help
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I don’t know what it is
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2 years ago
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Car B travels 350 miles in 4 hours
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Car C travels 584 miles in 15 hours
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Car B has the fastest average speed
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3 years ago
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