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Artyom0805 [142]
4 years ago
12

An equilateral triangle has a perimeter of 60m and a height of 17.3m. what is its area?

Mathematics
2 answers:
oksian1 [2.3K]4 years ago
7 0
Divide 60/3 so you get 20. So take 20x17.3 and you should get 346m∧2
Simora [160]4 years ago
3 0

The area of any triangle is            (1/2) x (length of the base) x (height) .

In this problem, we know the triangle's height,
but what is the length of the base ?

The base is the side that the triangle is sitting on.  This particular triangle
is an equilateral one, and its perimeter is 60m.  So each side must be 20m. 
No matter which side the triangle is sitting on, the length of the base is 20m.

           Area = (1/2) x (base) x (height)

           Area = (1/2) x (20m) x (17.3m) =  <em>173 m²</em>


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What is the area of ruth's mural?
pentagon [3]

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 =                            42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to  the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area =                                      <u>    60 m^2</u>

Total Area                                  102 m^2

8 0
2 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-5y= -30
anastassius [24]

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

3x-5y=-30

Move the -3x to the right side

-5y=-3x-30

Divide both sides by -5

y=\dfrac{3}{5}x+6

This should be your answer, let me know if you need any clarifications, thanks!

5 0
3 years ago
Read 2 more answers
The graph shows the distances traveled by two runners over several minutes.
Fynjy0 [20]
I think its runner B because its lower down then runner A hope this helps

6 0
3 years ago
A snack bar sells two types of gronala bars. An apricot bar costs $0.80, and a cranberry bar costs $1.25. write an algebraic exp
Sonja [21]

Answer:

Total Cost (T)=  .80a+1.25c

T= a+c

Step-by-step explanation:

This equation has 2 variables. It also has 2 equations

6 0
3 years ago
1 poir
poizon [28]

9514 1404 393

Answer:

  $1790.99

Step-by-step explanation:

<u>Given</u>:

  $1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years

<u>Find</u>:

  the ending balance

<u>Solution</u>:

The compound interest formula applies.

  FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year

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The account ending balance would be $1790.99.

8 0
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