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Andrei [34K]
3 years ago
6

The cones below are similar, although not drawn to scale.

Mathematics
2 answers:
Andrews [41]3 years ago
8 0

Answer:

9 ft

Step-by-step explanation:

We will set up a proportion to solve this.

The ratio of the slant heights is 18/27.

The ratio of the radii is 6/x.

This gives us the proportion

18/27 = 6/x

Cross multiplying,

18(x) = 27(6)

18x = 162

Divide both sides by 18:

18x/18 = 162/18

x = 9

Dmitry [639]3 years ago
5 0
9 ft
Set up a ratio...6/18=x/27...reduce to 1/3=x/27...cross multiply and solve for x.
3x=27 so x=9
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One leg of a right triangle measures 10 inches while the other leg measure square root of 21 inches. What is the length of its h
sladkih [1.3K]

Answer:

11 inches

Step-by-step explanation:

hypotenuse² = leg₁² + leg₂²

                     =10² + (√21)²

                    = 100 + 21

                    = 121

Hypotenuse = √ 121 = √11*11 = 11 inches

7 0
3 years ago
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Solve the equation. Provide all solutions.<br> (x + 7)(x - 4) = 0
Papessa [141]

Answer:

x = -7, x = 4

Step-by-step explanation:

<u>Step 1:  Solve for x </u>

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Answer:  x = -7, x = 4

5 0
3 years ago
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A cake recipe asked for 4⁄6 of a cup of oil, but Brad accidentally poured 5⁄6 of a cup of oil into the batter. How much extra oi
Blababa [14]
Hello! I would love to help!

Okay, let's first figure out what the problem is asking us. Basically, we need to subtract 4/6 from 5/6 to find the extra left over.

Let's do it!

We need to do 5/6-4/6

To do this, subtract the numerators, or top numbers of each fraction.

The top numbers are 5 and 4
5-4=1

Now, put the new numerator over 6, the common denominator.

1/6

So, your answer is 1/6 cup extra oil.

Hope this helped! Comment if you have questions!
3 0
3 years ago
True false to find the midpoint of a segment, first mark a point not on the segment and then fold the paper so that the point yo
SIZIF [17.4K]
That is not true. To find the midpoint of a line, you must add the values of x’s together and divide by 2 and then add the values of y together and divide by 2. The formula is (x1+x2/2 , y1+y2/2)
8 0
4 years ago
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The area of a rectangle is 38.25 square yards and its base is 9 yards. What is the height? Do not round your answer.
Romashka [77]

Answer:

4.25 yards

Step-by-step explanation:

Area of rectangle = Base x Height

or

Height = Area of Rectangle ÷ Base

In this case, Area =38.25 sq yards and Base = 9 yards

Height = 38.25 ÷ 9 = 4.25 yards

3 0
4 years ago
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