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Mama L [17]
4 years ago
11

A right triangle has a leg b of length 3 and a hypotenuse of length 14. what is the length of the othere leg, a? round to the ne

arest tenths if necessary
Mathematics
1 answer:
Leviafan [203]4 years ago
3 0
----------------------------
Formula:
----------------------------
a² + b² = c²

----------------------------
Find the missing leg:
----------------------------
3² + b² = 14²
b² = 14² - 3²
b² = 187
b = √187
b = 13.7 (nearest tenth)

----------------------------
Answer: 13.7 
----------------------------
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wolverine [178]

Answer:

35.68°

Step-by-step explanation:

In the picture attached, the triangle is shown.

From sine definition:

sin(y) = opposite/hypotenuse

The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:

sin(y) = 7/12

y = arcsin(7/12)

y = 35.68°

4 0
3 years ago
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SIZIF [17.4K]

Answer:

0.50

Step-by-step explanation:

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3 years ago
Sarah is investing $10,000 in a CD at a bank. If the bank uses simple interest, and the bank pays 2.75% in interest annually, ho
Leokris [45]

Answer: it would be worth $11925 when it matures after 7 years.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

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P represents the principal or amount invested in the CD.

R represents interest rate on the amount invested in the CD.

T represents the duration of the investment in years.

From the information given,

P = $10,000

R = 2.75%

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7 0
4 years ago
There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selectin
AysviL [449]

You can choose from 20 students for the first student, 19 for the second, 18 for the third, ..., 14 for the seventh student.

That gives you 20 * 19 * 18 * 17 * 16 * 15 * 14.

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(20 * 19 * 18 * 17 * 16 * 15 * 14)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 77,520

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8 0
4 years ago
Read 2 more answers
Find the area of the circle.
juin [17]

Answer:

See Explanation Below

Step-by-step explanation:

Your question isn't clear; However, I'll solve in two ways

1. Diameter = 14 cm

2. Radius = 14 cm

<em></em>

<em>When Diameter = 14 cm</em>

Given

Area = \pi r^2

Diameter = 14cm

Required

Calculate the area of the circle

First, the radius has to be solved;

Radius = \frac{1}{2} Diameter

Radius = \frac{1}{2} * 14cm

Radius = 7cm

Using the given formula;

The area is as follows

Area = \pi r^2

Area = 3.14 * 7^2

Area = 3.14 * 49

Area = 153.86cm^2

<em>When Radius = 14 cm</em>

Given

Area = \pi r^2

Radius = 14cm

Required

Calculate the area of the circle

Using the given formula;

The area is as follows

Area = \pi r^2

Area = 3.14 * 14^2

Area = 3.14 * 196

Area = 615.44cm^2

7 0
3 years ago
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