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3 years ago

Help with geometry question

Mathematics

1 answer:

nata0808 [166]3 years ago

3 0

Answer:

Step-by-step explanation:

The area of this parallelogram is

A=hb (height times base)

h=A/b, we see A=14.4mi^2 and b=4.8mi so

h=(14.4mi^2)/(4.8mi)

h=3 mi

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Match the right side of the equation to the left side<br> cot x sec^4 x=cot x+ 2 tan x+tan^3 x

Natalka [10]

Step-by-step explanation:

cot x + 2 tan x + tan³ x

Write in terms of sine and cosine:

(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)

Find the common denominator:

(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))

Add:

(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)

Factor:

(sin² x + cos² x)² / (sin x cos³ x)

Pythagorean identity:

1 / (sin x cos³ x)

Multiply top and bottom by cos x:

cos x / (sin x cos⁴ x)

Simplify:

cot x sec⁴ x

5 0

3 years ago

Evaluate: ma + (t + h)

Eduardwww [97]

Answer:

Math

Step-by-step explanation:

math m-a-t-h mathhhhhhhhh

8 0

3 years ago

The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.

Daniel [21]

Answer:

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n + n+2 =180

2n +2 =180

Subtract 2 on both sides:

2n =178

Divide both sides by 2:

n =178/2

Simplify right hand side:

n =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers? Yep.

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0

2 years ago

Read 2 more answers

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv

lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

of novels that seniors read during their time in college. An exit

survey was conducted with a random sample of 9 seniors. The

sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

been met, which of the following is a 94.645% confidence

interval for the population mean number of novels read by

all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

= n - 1

= 9 - 1

= 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

=1 - 0.94645

=0.05355 ≈ 0.05

⇒α = 0.5

Now,

$\frac{\alpha}{2} = \frac{0.05}{2}$

= 0.025

Then,

$t_{\frac{\alpha}{2}, df }$ = 2.306

∴ we get

Population mean = x⁻ ± $t_{\frac{\alpha}{2}, df }$ × $\frac{s}{\sqrt{n} }$

= 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

⇒Population mean = 7 ± 2.306 × $\frac{2.29}{\sqrt{9} }$

3 0

3 years ago

Read 2 more answers

What is the gcf of 36 and 63?

Andrew [12]

The GCF would be 9.

You would first find the prime 36=2*2*3*3

Then do the same with 63. 63=3*3*7

So to find the GCF you would multiply the prime factors that are the same with 36 and 63. So you would multiply 3*3 which would give you 9.

GCF=9

8 0

2 years ago