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3 years ago

What is the length of the unknown side?

Mathematics

1 answer:

777dan777 [17]3 years ago

4 0

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

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If x varies inversely as y, and x = 11 when y = 15, find x when y = 3. 11/5 55 33/15

kirill115 [55]

Answer:

Step-by-step explanation:

x=55. Explanation: If x varies inversely as y , then that means: y=kx. Let's multiply both sides of the equation by x to find k . k=xy.

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3 years ago

It cost 4 people $65 to each buy a movie ticket and a

disa [49]

Answer:

C) 4t + 5.75 = 65

Step-by-step explanation:

This equation is correct because it adds together the price of one popcorn and the price of the 4 tickets as 4t.

A and B are wrong because only t should be multiplied by 4, and D is wrong because it subtracts the price of the popcorn.

5 0

4 years ago

D.) is 13/5 it got cut off HELP NEEDED [10 points up!]

vodomira [7]

It would be A. You can find this out by using SOH CAH TOA,

SOH means sin= opposite/hypotenuse

CAH mean cos= adjacent/hypotenuse

TOA means tangent= opposite/adjacent

You would use CAH since you are trying to find cos∠C

You would have cos∠C=10/26.

26 is the hypotenuse since it is opposite the right angle and is the biggest side.

10 is the adjacent since it is right next to C

You would simplify this down to 5/13 by dividing by 2.

This gives you A.

5 0

3 years ago

Read 2 more answers

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N76 [4]

Answer: Hope This Helped!!!! (:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her

Whitepunk [10]

The cost of each option is given by the total amount required to obtain

the volume of water Janine drinks in a year.

Responses:

The cheapest option is the faucet-mounted water filter

The cheapest option saves her $79.11 over a year

<h3>How are the different options evaluated?</h3>

Number of bottles of water Janine drinks in a day = 3 bottles

Volume of a bottle = 16.9 ounces

Volume of water Janine drinks in a year = 3 × 16.9 × 365 = 18505.5

Volume of water Janine drinks in a year = 18,505.5 ounces

Volume of water = 18,505.5 ounces = 547.273 liters

The cost of 24-packs of 16.9 ounces bottles = $3.29

Number of packs she will buy in a year is therefore;

$Number \ of \ packs= \dfrac{3 \times 365}{24} = \mathbf{45.625}$

Cost per year = 45.625 × $3.29 ≈ $150.11

The cost of a reusable bottle = $10

Cost of each option to filter 547.723 liters of water.

Total cost of a faucet mounted filter = $10 + $28 + $33 = $71.00

Total cost using the water filter = $10 + $22 + 2 × $20 = $72

The cost of using the under sink filter = $10 + $130 = $140

Therefore;

The cheapest option over one year is the faucet-mounted filter

The amount saved over one year = $150.11 - $71.0 = $79.11

Learn more about total cost here:

brainly.com/question/25331750

8 0

2 years ago