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My name is Ann [436]
3 years ago
6

Explain step by step how to solve (f)/(4)-5=-9

Mathematics
2 answers:
Art [367]3 years ago
8 0

Answer:

f = - 16

Step-by-step explanation:

f - 20 = - 36

f = - 36 + 20

Flauer [41]3 years ago
6 0

Answer:

f= -16

i gotchu

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If the tangent of an acute angle is 1/4, what is the cosine of that angle?
ozzi

Answer:

0.97

Step-by-step explanation:

It is known that the tangent of an angle is given by the quotient between its sine and its cosine.

tan(x)=\frac{sin(x)}{cos(x)} =\frac{1}{4} \\\frac{1}{4}cos(x)=sin(x)\\

Applying the following property:

sin^2(x) +cos^2(x) = 1\\(\frac{1}{4}cos(x))^2 +cos^2(x) = 1\\\\\frac{17}{16}cos^2(x) = 1 \\cos(x)=0.97

The cosine of that angle is 0.97.

7 0
3 years ago
02 True/False<br> - 7 + 15 = 15 -7<br> True<br> False
Pepsi [2]

True, because either way you are subtracting 7 from 15

8 0
3 years ago
What is the range of the following list of ordered pairs?<br> (-3, 2), (1, 5), (-2, 3)
dsp73
R= {2,5,3} Domain is the x values and Range is the y values.
6 0
3 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
amid [387]

Answer:

Given:

mean, u = 6.2

sample size, n = 180

Sample mean, X' = 6.3

s.d \sigma = 0.9

Significance level = 0.05

The null and alternative hypothesis will be:

H0 : u = 6.2

H1 : u > 6.2

Degree of freedom = 180 - 1 = 179

Using t table, the t critical value,

t> t(0.05, 179) = 1.6534

The test statistic:

t = \frac{X' - u}{\frac{\sigma}{\sqrt{n}}}

T = \frac{6.3 - 6.2}{\frac{0.9}{\sqrt{180}}} = 1.4907

Since the test statistic(t calculated value) 1.4907 < t critical value (1.6534), we fail to reject the null hypothesis H0.

4 0
3 years ago
Which of the following is equivalent to (5x^2)(4x^3)
Veronika [31]

Answer:

20x^5

Step-by-step explanation:

You just multiply 5 by 4 and get 20 and when multiplying exponents you just add them together so you get 20x^5

7 0
3 years ago
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