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Katena32 [7]
3 years ago
14

In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the shorter leg

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

Option A is right

Step-by-step explanation:

Given is a triangle (right angled) with other degrees as 30 and 60.

The length of hypotenuse = 30

We have to find the length of shorter leg.

We know that in a 30-60-90 triangle, the length of shorter side is always half the length of the hyptenuse.

In 30-60-90 triangle, opposite side of smaller angle/hypotenuse =1/2

Using the above we get

the shorter side = 1/2 (hypotenuse) = 1/2(30) = 15

Hence answer is 15

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Answer:

Fruit smoothie: $3.4

Protein bar: $2.5

Step-by-step explanation:

Let x represent cost of fruit smoothie and y represent cost of protein bar.

We have been given that Jake buys a fruit smoothie and a protein bar for​ $5.90. We can represent this information in an equation as:

x+y=5.90...(1)

x=5.90-y...(1)

We are also told that Kobe buys 2 fruit smoothies and 4 protein bars. He pays​ $16.80. We can represent this information in an equation as:

2x+4y=16.80...(2)

Upon substituting equation (1) in equation (2), we will get:

2(5.90-y)+4y=16.80

11.80-2y+4y=16.80

2y=16.80-11.80

2y=5

y=\frac{5}{2}=2.5

Therefore, each protein bar costs $2.5.

Upon substituting y=2.5 in equation (1), we will get:

x=5.90-2.5=3.4

Therefore, each fruit smoothie costs $3.4.

8 0
4 years ago
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Step-by-step explanation:


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Step-by-step explanation:

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