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2 years ago

Select the correct answer.

Mathematics

1 answer:

sp2606 [1]2 years ago

6 0

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

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How many different ways can the letters in the word “survey” be arranged?

Bingel [31]

<span>Square and survey each have 6 letters, none of which are repeats. For the first position there are 6 possibilities, then 5 (6 minus the one you already used), and so on, or 6 factorial (6!). 6x5x4x3x2x1 = 720, so there are 720 combinations for each. I hope this helps!</span>

6 0

3 years ago

A scale drawing of an ant uses a scale of 1 centimeter = 1.5 millimeters. If the actual ant is 5 millimeters long, find the leng

krek1111 [17]

Answer:

7.5 cm

Step-by-step explanation:

$\frac{\ell}{5}=\frac{1}{1.5} \\ \\ \ell=7.5$

8 0

1 year ago

Use the graph below to answer the question that follows:

Serhud [2]

Answer:

The trignometric function that best represents the graph is:

$f(x)=4 \sin(x-\dfrac{\pi}{2})$

Step-by-step explanation:

It is given that the trignometric function passes through:

(0,-4) , (π/2,0) , (π,4) , (3π/2,0) , (2π,-4) and (5π/2,0) and (3π,4)

We will check these points in each of the given options and see what holds true.

$f(x)=4\cos (x-\dfrac{\pi}{2})$

When we put x=0 we obtain:

$f(0)=4\cos (0-\dfrac{\pi}{2})\\\\f(0)=4\cos (-\dfrac{\pi}{2})\\\\f(0)=4\cos (\dfrac{\pi}{2})\\\\Since,\\\cos (-\theta)=\cos (\theta)\\\\Hence,\\f(0)=0\neq -4$

Hence, option 2 is incorrect.

$f(x)=4 \sin(x-\dfrac{\pi}{2})+1$

When we put x=0 we get:

$f(0)=4 \sin (0-\dfrac{\pi}{2})+1\\\\f(0)=4 \sin (-\dfrac{\pi}{2})+1\\\\f(0)=-4\sin (\dfrac{\pi}{2})+1\\\\Since,\\\sin (-\theta)=\sin (\theta)\\Hence,\\f(0)=-4+1\\\\f(0)=-3\neq -4$

Hence, option 3 is incorrect.

$f(x)=4\cos (x-\dfrac{\pi}{2})+1$

When we put x=0 we obtain:

$f(0)=4\cos (0-\dfrac{\pi}{2})+1\\\\f(0)=4\cos (-\dfrac{\pi}{2})+1\\\\f(0)=4\cos (\dfrac{\pi}{2})+1\\\\Since,\\\cos (-\theta)=\cos (\theta)\\\\Hence,\\f(0)=1\neq -4$

Hence, option 4 is incorrect.

$f(x)=4 \sin(x-\dfrac{\pi}{2})$

When we put each of the x-value we see that the y-value also holds.

Hence, option 1 is true.

Also we can see in the graph.

3 0

4 years ago

Help! Hurry!!! NO SPAM!!!!!!!! I will mark brainliest if you get it correct, and show your work. Determine whether f is an expon

borishaifa [10]

Answer:

Yes f is a function of x

Step-by-step explanation:

f(x) means fuctoin of x thats what it stands for.

and it has a constant ratio of 1/2. Hope this helps!!

mark me as brainliest

5 0

3 years ago

You spend $30 20 on 4 CDs Each CD costs the same amount and is on sale for 80% of the original price

Tema [17]

Answer:

You will only be able to buy two at the original price the following day.

Step-by-step explanation:

You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price.

If x = original cost of one CD

80% of one CD = 0.8x

0.8x = the price you pay for one discounted CD

You buy 4 of the discounted CDs for $30.40

4(0.8x) = 30.40

solve for x, the original cost of one CD

3.2x = 30.40

x = 9.50

The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs?

25$ / $9.50 = 2.63 CDs

6 0

4 years ago