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sineoko [7]
2 years ago
7

Part E

Mathematics
1 answer:
Maslowich2 years ago
7 0

Answer:

What type of question is this

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Find the area of an equilateral triangle with a side of 6 inches.
sweet-ann [11.9K]

Answer:

9\sqrt{3} in²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is the length of a side )

Here s = 6, thus

A = \frac{6^2\sqrt{3} }{4} = \frac{36\sqrt{3} }{4} = 9\sqrt{3} in²

6 0
3 years ago
Herman and Jackie are saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month.
Mashutka [201]

Answer:

Part 1) 10\ months

Part 2) \$25,000

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

<em>Herman</em>

The slope is equal to m=\$1,000\ per\ month

The y-intercept is b=\$15,000

substitute

y=1,000x+15,000 ----> equation A

<em>Jackie</em>

The slope is equal to m=\$1,300\ per\ month

The y-intercept is b=\$12,000

substitute

y=1,300x+12,000 ----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

1,300x+12,000=1,000x+15,000

solve for x

1,300x-1,000x=15,000-12,000

300x=3,000

x=10\ months

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

y=1,000(10)+15,000=\$25,000

equation B

y=1,300(10)+12,000=\$25,000

7 0
3 years ago
Which points are the vertices of the ellipse?
Phoenix [80]
Points m and n
Are the answer
6 0
3 years ago
Read 2 more answers
To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?
romanna [79]
Let r be a radius of a given circle and α be an angle, that corresponds to a sector.

The circle area is A=\pi r^2 and denote the sector area as A_1. 
Then  \dfrac{A_1}{A}= \dfrac{\alpha}{2\pi}  (the ratio between area is the same as the ratio between coresponding angles).

A_1=\dfrac{\alpha}{2\pi} \cdot A=\dfrac{\alpha}{2\pi} \cdot \pi r^2= \dfrac{r^2\alpha}{2}.

6 0
3 years ago
I need help on 24 please
charle [14.2K]
F. 24, this is because if you split the bigger square in half you’ll get 6 and perimeter is the addition of all sides. So 6+6+6+6=24
4 0
3 years ago
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