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Vsevolod [243]
2 years ago
11

Please help me find the missing length

Mathematics
1 answer:
nasty-shy [4]2 years ago
7 0

Answer:

<em>The tower is 48 ft tall.</em>

Step-by-step explanation:

Refer to the figure attached.

Triangle ACD is similar to triangle BCE.

This means the proportion to some sides is the same, for example:

\displaystyle \frac{CE}{CD}=\frac{BE}{H}

Substituting the values:

\displaystyle \frac{8}{64}=\frac{6}{H}

Multiplying by 64H:

8H=64*6

Dividing by 8:

H=64*6/8=48

The tower is 48 ft tall.

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vazorg [7]

Answer:

1.25

Step-by-step explanation:

(1/10) x 12.5

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15. Which set of numbers forms a Pythagorean triple?
dusya [7]

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11, 60.61

Step-by-step explanation:

this is the only set that fits a^2 +b^2=c^2

you square the first two numbers, add them together. Then you take the square root of that sum. This number must equal the third number for it to be a triple.

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What is 20 feet to 90 yards as a ratio?
AlekseyPX

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Read 2 more answers
Help my grade depends on it
Veseljchak [2.6K]
Lily made $75.36 more than Layla did.  If Layla raised her price to $1.00, she would still not make more money than Lily.

Use a proportion to find the number of cupcakes Lily makes in 8 hours.  She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):

7/10 = x/480

Cross multiply:
7*480 = 10*x
3360 = 10x

Divide both sides by 10:
3360/10 = 10x/10
336 = x

Lily bakes 336 cupcakes.

She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.

Each cupcake is sold for $1.29; 224(1.29) = 288.96

To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion.  We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:

8/12 = x/480
8*480 = 12*x
3840 = 12x

Divide both sides by 12:
3840/12 = 12x/12
320 = x

She bakes 320 cupcakes.  She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240

Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60

This means Lily makes 288.96-213.60 = 75.36 more than Layla.

If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.
6 0
3 years ago
Find the value of x. Then find the measure of each interior angle. Show work algebraically
OleMash [197]

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

3 0
3 years ago
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