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Ilia_Sergeevich [38]
3 years ago
12

A 20 ft. beam leans against a wall. The beam

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer:

a     44°

Step-by-step explanation:

Think of the right triangle formed by the beam, the ground, and the wall.

The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin A = 13.9/20

sin A = 0.695

A = sin^-1 0.695

A = 44°

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At a certain college, there are 7 men for every 5 women. If there are 380 more men than women, what is the total enrollment?
adell [148]
7 men= 5 women
380 men= x women
=> 7x = 5 . 380
7x = 1900
x= 1900/7
x= 271,4
wich means 271 women

HOPE IT HELPS
6 0
4 years ago
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A bag contains 4 red marbles, 8 blue marbles and 5 green marbles. If three marbles
nika2105 [10]

Answer:

0.3571

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
Math problem help to do this step by step ​
s344n2d4d5 [400]

Step-by-step explanation:

(root under) 2×3×3×4

(root under) 2×3×3×2×2

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6 (root under) 2

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8 0
3 years ago
Find first 4 terms and the 10th term of each question. 1)n2+3 2) 2n2
irina [24]

Answer:

1) 4, 7, 12 and 19

Tenth term = 103

2) 2, 8, 18, 32

Tenth term =200

Step-by-step explanation:

Given the nth term of the sequence

1) f(n)= n²+3

When n = 1

f(1) = 1²+3

f(1) = 4

When n = 2

f(2) = 2²+3

f(2) =4+3

f(2) = 7

When n = 3

f(3) = 3²+3

f(3) = 9+3

f(3)=12

When n =4

f(4) = 4²+3

f(4) = 16+3

f(4) = 19

The first four terms are 4, 7, 12 and 19

f(10)= 10²+3

f(10) = 103

Tenth term is 103

2) f(n) = 2n²

When n = 1

f(1) = 2(1)²

f(1) = 2

When n = 2

f(2) = 2(2)²

f(2) = 2(4)

f(2) = 8

When n= 3

f(3)= 2(3)²

f(3) = 2(9)

f(3) = 18

When n= 4

f(4) = 2(4)²

f(4) = 2(16)

f(4) =32

The first four terms are 2, 8, 18, 32

f(10) = 2(10)²

f(10) =2(100)

f(20) = 200

The tenth term is 200

5 0
3 years ago
of 320 consumers polled, some purchase blu-ray movies, some only purchase movies on dvd, and some do both. if 300 people polled
Helga [31]

Answer:

20 people only buy dvds.

Step-by-step explanation:

There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:

people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds

people who only buy blu rays = 300 - 280 = 20

We can now calculate the amount of people who only buy dvds and that is:

people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)

people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people

3 0
4 years ago
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