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melamori03 [73]
3 years ago
11

If a = 150 inches, b = 50 inches, and C = 120º find c. Round to the nearest tenth of an inch.

Mathematics
2 answers:
liraira [26]3 years ago
7 0

Answer:180.3

Step-by-step explanation:

a=150

b=50

C=120

c^2=a^2+b^2-2 x a x b x cosC

c^2=150^2+50^2-2x150x50xcos120

c^2=150x150+50x50-2x150x50xcos120

c^2=22500+2500-15000cos120

c^2=25000-15000x-0.5

c^2=25000+7500

c^2=32500

c=√(32500)

c=180.3

Musya8 [376]3 years ago
3 0

Answer:

180.3 inches

Step-by-step explanation:

Using cosine law:

c² = 150² + 50² - 1(150)(50)cos(120)

c² = 32500

c = 50sqrt(13)

c = 180.3 (nearest tenth)

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tankabanditka [31]

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
If f(x) varies directly with x and f(x)=40 when x=8, find the value of f(x) when x=2.
melamori03 [73]

f(x)=40

x=8

so if x=2 it would be 40/8 which is 5

6 0
3 years ago
Read 2 more answers
What percent is 24 or 96
KIM [24]

Answer:

.25 or 25%

Step-by-step explanation:

24/96=.25

6 0
3 years ago
Which state had a population of eight hundred four thousand one hundred ninety-four
sp2606 [1]
800+4000+194
800+4000=4800
4800+194=4994
answer:4994
3 0
3 years ago
Which of the following statements is not true? a) The standard deviation of the sampling distribution of sample mean = σ/√n b) T
I am Lyosha [343]

Answer:

e) The mean of the sampling distribution of sample mean is always the same as that of X, the distribution from which the sample is taken.

Step-by-step explanation:

The central limit theorem states that

"Given a population with a finite mean μ and a finite non-zero variance σ2, the sampling distribution of the mean approaches a normal distribution with a mean of μ and a variance of σ2/N as N, the sample size, increases."

This means that as the sample size increases, the sample mean of the sampling distribution of means approaches the population mean.  This does not state that the sample mean will always be the same as the population mean.

6 0
3 years ago
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