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Damm [24]
3 years ago
5

find the area and the perimeter of a square with a side length of 5.5 inches include the units in your answer​

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

<u>If the side of a square is a, then:</u>

  • A = a² and P = 4a

<u>So the area is:</u>

  • A = 5.5² = 30.25 in²

<u>The perimeter is:</u>

  • P = 4*5.5 = 22 in
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Find the sum of the three smallest positive values of θ such that <img src="https://tex.z-dn.net/?f=4%5Ccos%5E2%282%5Ctheta-%5Cp
Harlamova29_29 [7]

Answer:

∅= 13π/12

Step-by-step explanation:

Solve until you get cos(___) on one side and a value on the other side.

I got cos(2∅-π) = ±√(3)/2

I know that the only cos() value that gives me  ±√(3)/2 are -5π/6, -π/6, and π/6 from looking at the unit circle; those 3 are the smallest value that would give me  ±√(3)/2.

So i solve for what value of 2∅-π would give me -5π/6, -π/6, and π/6

by solving for

2∅₁-π = -5π/6,   2∅₂-π = -π/6,   and 2∅₃-π = π/6

I got ∅₁=π/12, ∅₂=5π/12, ∅₃=7π/12.

The question wanted the sum of the three smallest value so i added it up and got 13π/12.

And thanks for peer review. Good catch on my mistakes.

3 0
4 years ago
Read 2 more answers
Which is a possible benefit of having a good credit history? <br>​
ExtremeBDS [4]

Answer:

When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.

3 0
3 years ago
The basketball court at Cecil College is 50 feet by 94 feet. they need to buy fencing to go around the outside of the court in o
vitfil [10]
So the fencing perimiter is 70 by 114
perimiter=2 times width +2 times legnth
width=70
legnth=144
perimiter=70 times 2+114 times 2=140+228=368
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7 0
3 years ago
The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh
Marat540 [252]

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

<u><em>Step(ii):-</em></u>

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

                 Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

                Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }

                Z = 1.4460

<u>Final answer:-</u>

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

3 0
3 years ago
In slope intercept form what is (-1,-1) (1,7)​
stepan [7]

Answer:

m = 4

Hope this helped.

6 0
3 years ago
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