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Sindrei [870]
2 years ago
14

Find the area of equilateral triangle with side a.

Mathematics
1 answer:
marishachu [46]2 years ago
8 0

Answer:

\frac{\sqrt{3} }{4} a^2

Step-by-step explanation:

To find the area of an equilateral triangle, we can apply a formula.

A=\frac{\sqrt{3} }{4} s^2

A= area\\s=side \: length

The side length is given a.

Plug a in the formula as the side length.

A=\frac{\sqrt{3} }{4} a^2

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What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0
2 years ago
Seventy percent of a town's population voted in an election. If 1,589 people voted, what is the population of the town?
Crank
The total population of the town is 2270 people.
6 0
2 years ago
Rasheed wants to buy two new video games that cost $28.50 each. He earns money for them by mowing lawns in his neighborhood, and
myrzilka [38]

Answer:

$15.25

Step-by-step explanation:

$7.50+$4.85+$12.25 +$9.00 +$8.15 = $41.75

$28.50*2 = $57.00

So, he needs $57.00- $41.75 = $15.25 more

4 0
2 years ago
Read 2 more answers
Melissa buys 212 pounds of salmon and 114 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pou
charle [14.2K]

Answer: b

Step-by-step explanation:

3 0
2 years ago
Given RT below, if S lies on RT such that the
defon

Answer:

(-2, -3)

Step-by-step explanation:

If a segment having extreme ends as (x_1,y_1) and (x_2,y_2) is divided by a point (x, y) in the ratio of m:n,

x = \frac{mx_2+nx_1}{m+n}

y = \frac{my_2+ny_1}{m+n}

Since, a line RT has extreme ends as R(-5, 3) and T(-1, -5) then a point S(x, y) which divides RT in the ratio of 3 : 1 will be,

x = \frac{3(-1)+1(-5)}{3+1}

  = \frac{-8}{4}

  = -2

y = \frac{3(-5)+1(3)}{3+1}

  = -\frac{12}{4}

  = -3

Therefore, coordinates of the point S will be (-2, -3).

6 0
2 years ago
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