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anastassius [24]
3 years ago
14

How do you find the height and area of this triangle

Mathematics
1 answer:
Doss [256]3 years ago
8 0
Because the triangle is an equilateral triangle, you know that all of the angles are equal to 60°. That means that you can use trigonometry to find the height, which would be sin(60) × 20 = 17.32.

Again, because it is an equilateral triangle, all sides are equal as well, meaning that the base is also 20cm. To find the area of the triangle, we must do (20 × 17.32)/2 = 173.2cm^2, which is the area.

I hope this helps!
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A given line has the equation 3x-5y=20 . Which of the following equations represents the line perpendicular to the given line an
AlladinOne [14]

Answer:

y= -5/3 x - 6

Step-by-step explanation:

3x-5y=20

-5y=20-3x

y= (3/5)x - 5

3/5 is the slope

a perpendicular line's slope is the opposite reciprocal

-5/3 = m

y-y1=m(x-x1)

(-6, 4) = (x1, y1)

plug in the values

y-4= -(5/3) (x+6)

y-4= -5/3 x - 10

y= -5/3 x - 6

8 0
4 years ago
5 pointsWhich is the image of vertex Lafter the triangle is rotated 180 degrees about the origin?
Anastasy [175]

The image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).

Option B.

First let's stae the the original location of the figure on the graph.

From the graph:

L (2, 1)

W(1, -3)

O (-1, -2)

A rotation of 180 degrees about the origin will change the x and y axis of each location to the opposite of those numbers;

Positive numbers becomes negative and negative numbers becomes positive.

The new location for L = L'

L' = (-2, -1)

The new location for W = W'

W' = (-1, 3)

The new location for O = O'

O' = (1, 2)

Hence, the image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).

Option B.

6 0
1 year ago
Compute the monthly payments for the add on interest loan. The amount of the loan is $8,276.17. The annual interest rate is 5.7%
podryga [215]

The monthly payments for this add on interest loan are of $164.71.

Given Information and Formula Used

It is given that for an add on interest loan,

Principal Amount, p = $8,276.17

Annual Interest Rate, r = 5.7%

Term of the loan, T = 5.5 years

The formula for simple interest is given as follows,

I = (p)(r)(t)/100 ............... (1)

The formula for total amount of add on interest is given by,

A = p + I ....................... (2)

Computing the Interest

Substitute the given values of p, r, and t in the formula (1) of interest to get,

I = (8276.17)(5.7)(5.5)/100

I = 259457.9295/100

I = $2,594.58

Computing the Monthly Payment for Add-on Interest Loan

Substituting the values of p and I in the formula (2), we obtain the total amount as,

A = $ (8276.17 + 2594.58)

A = $ 10,870.75

Monthly payment for the add on interest loan = A/t(in months)

=  $ (10,870.75/66)

= $164.71

Therefore, monthly payments of $164.71 are to be made for the add on interest loan.

Learn more about interest here:

brainly.com/question/26457073

#SPJ1

7 0
2 years ago
Please please need help with this one having a hard time with it.
laiz [17]
Ummmmmm where’s the pic?
4 0
3 years ago
What is the equation of the line that passes through the point (-5, 4) and has a
Scilla [17]

Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

5 0
3 years ago
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