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charle [14.2K]
3 years ago
8

What is the area of an equilateral triangle with each side as 2 inches?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0
\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{one of the sides}
bezimeni [28]3 years ago
3 0
We use pythagoraeon theroome to find the height
see attachment

remember
for a right traingle
a²+b²=c²

legs are 1 and ?
hytponuse is 2
1²+?²=2²
1+?²=4
minus 1 both sides
?²=3
sqrt both sides
?=√3=height

area=1/2 times base times height
aera=1/2 times 2 times√3
area=√3 square inches

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Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters
vodomira [7]

Answer:

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam                                  Cara

height = 159 cm                  height = 140 cm

shadow = 105 cm                shadow = x

Process

1.- To solve this problem use the Thales' theorem

         Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

                                     x / 140 = 105 / 159

-Solve for x

                                     x = 105 (140) / 159

-Simplification

                                     x = 14700 / 159

                                     x = 92.45 cm

Cara's shadow is 92.45 cm long.

2.- If both shadows are in line, then Cara must walk forward

                105 - 92.45 cm

                12.55 cm

             

4 0
3 years ago
Container X has 2 cups of water with 6 teaspoons of sugar. Container Y has 4 cups of water with 8 teaspoons of sugar. In which c
Harlamova29_29 [7]

Answer:

A) Container X

Step-by-step explanation:

X=2C:6S  ratio, now reduce amount but keep the same ratio

X=1C:3S  

Y=4C:8S  ratio, now reduce amount but keep the same ratio

Y=1C:2S

Container X has the sweeter water because it's ratio of sugar to water is higher.

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The king who retains power by tradition of allegiance ensures that a religious doctrine is enforced as government policy. Which
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The answer is C.This country has both a democracy and a theocracy

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Simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)
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\huge \boxed{\mathrm{-1}}

Step-by-step explanation:

(5xe^2  - 3x) - (5xe^2  - 3x+1)

Distribute negative sign.

5xe^2  - 3x- 5xe^2  +3x-1

Combine like terms.

0xe^2 +0x-1

0-1=-1

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