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kherson [118]
3 years ago
7

An equilateral triangle has side lengths of 20. What is its

Mathematics
1 answer:
Scrat [10]3 years ago
8 0

Answer:

Step-by-step explanation:

(s/2)^2+h^2=s^2

h^2=s^2-(s^2/4)

h^2=(3s^2)/4

h=(s/2)(3^(1/2)), s=20

h=10(3^(1/2)) simplest radical form 10 times square root of 3

h=17.32 approximate decimal to nearest one hundredth

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PLEASE HELP ASAP
Svetradugi [14.3K]
The area ratio is 1:16 meaning that the old area is 1 while the new area is 16. So this is another way of saying "the area is multiplied by 16"

Take the square root of each part of the ratio of 1:16 and we get 1:4

So this is the scale factor. It tells us how the linear components of the circles relate to one another. If the circumference of the smaller circle is 1,then the larger circle has a circumference of 4.

Therefore, the circumference has been multiplied by 4
4 0
3 years ago
A fish tank holds 832 gallons but is leaking at a rate of 5 gallons per week. A second fish tank hose 1040 gallons but is leakin
OverLord2011 [107]

Answer:

Within 52 weeks, the amount of water in the two fish tanks will be the same.

Step-by-step explanation:

First, let's make the two equations equal to each other by placing an equal sign.

832 - 5x = 1040 - 9x

Now, that they are equal to each other, we can solve for x.

Okay, so we can move -5x to the other side by adding both sides with 5x.

832 = 1040 - 4x

Then, subtract 1040 from both sides to move it to the other side.

832 - 1040 = -208

-208 = -4x

Lastly, divide both sides by -4 to get the value of x.

-208/-4 = 52

x = 52

7 0
3 years ago
Solve using long division<br> (x^2 – 3x - 40) / (x+5)
brilliants [131]

Answer:

X-8

Step-by-step explanation:

Thats it.

6 0
3 years ago
The function h(t)=−16t(t−7) models the height of an object at any time t after it is launched, where t is measured in seconds. A
Kipish [7]

Answer:

2.65secs

Step-by-step explanation:

Give:

The function h(t)=−16t(t−7) models

the object will hit the ground at h= 0

h(t)=−16t(t−7)

0= -16t(t−7)

0= -16t^2 + 112

16t^2 = 112

t^2 = 7

t= √7

t=2.65secs

Hence, the object object hit the ground at 2.65secs

7 0
3 years ago
You are giving the following amounts: $190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of th
Pie
This is a really simple problem once you understand how to solve it, and that's what I'm going to show you! :)

When calculating the mean (average) of multiple numbers, your first step is to add the numbers together.
190,258.50 + 152,698.00 + 122,753.00 + 220,523.00 + <span>231,951.00 = 918,183.50

Then you take the sum of your numbers, and divide the sum by the amount of numbers added, which in your case, is 5.

918,183.50/5 = 183,636.70

The average of these numbers is $183,636.70

Feel free to message me or comment with any questions you have about this.
</span>
5 0
3 years ago
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