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4vir4ik [10]
2 years ago
15

Two angles of a triangle measure 45 degrees and 90 degrees. What is the third angle measure?

Mathematics
1 answer:
neonofarm [45]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Angles in a triangle add up to 180

Take 45 + 90 then subtract the answer from 180

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How do you get 67.3 degrees and 112.7 degrees from the sin(x) = .9228 ? I need to know the steps. I will also make the first ans
nataly862011 [7]
You divide 67.3 hope this helps
7 0
3 years ago
Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro
Oksanka [162]

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10

Total outcomes:

2 components, from a set of 6. So

T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15

Probability:

p = \frac{D}{T} = \frac{10}{15} = 0.6667

66.67% probability that all selected components function properly

3 0
3 years ago
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight
Alex

Answer:

$919.98

Step-by-step explanation:

To solve using a financial calculator do

N=8

I/Y=10

PMT=85

FV=1000

CMPT PV get 919.98

To do by hand find the present value of the interst payments

85*(1-(1/1.1)^8)

which is 453.4687

Find the present value of the final ballon payment

1000*(1/1.1)^8

which is 466.507

take the sum

466.507+453.4678= 919.98

3 0
3 years ago
Each face of a cube is a square with a side length of 3 meters. What is the total area of all the faces of the cube?
Stells [14]

Answer:

I am pretty sure it is 9

Step-by-step explanation:

Since a cube has the same with and length on every side is the same so I just do 3x3=9

3 0
2 years ago
Read 2 more answers
Barbara made a bad investment. Rather than earning interest, her money is decreasing in value by 11% each week! After just one w
pochemuha

Answer: She started with $160.

It will take 6 weeks before she has less than half of what she originally invested.

Step-by-step explanation:

If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the investment after t weeks.

t represents the number of weeks.

P represents the initial value of the investment.

r represents rate of depreciation.

From the information given,

A = $142.40

r = 11% = 11/100 = 0.11

t = 1

Therefore

142.40 = P(1 - 0.11)^1

142.40 = P(0.89)

P = 142.4/0.89

P = 160

For her to have half of what she invested originally, then

80 = 160(0.89)^t

80/160 = (0.89)^t

0.5 = (0.89)^t

Taking log of both sides to base 10

Log 0.5 = log0.89^t = tlog0.89

- 0.3010 = - 0.051t

t = - 0.3010/- 0.051

t = 5.9

Approximately 6 weeks

5 0
3 years ago
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