Write an algebraic expression for the phrase. the sum of f and 6

Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4

Mamont248 [21]

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

$Hypotenuse^2=Perpendicular^2+Base^2$

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

$Hypotenuse^2=8^2+12^2$

$Hypotenuse^2=64+144$

$Hypotenuse^2=208$

Taking square root on both sides, we get

$Hypotenuse=\sqrt{208}$

$Hypotenuse=14.422205$

$Hypotenuse\approx 14.4$

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

4 0

3 years ago

A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs

NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

7 0

3 years ago

3/5 of a number decreased by one is 23. What is the number?

garri49 [273]

You can set up an equation based off of the information given:

x represents the unknown number

3/5x - 1 = 23

add 1 to both sides to isolate the 3/5x

3/5x = 24

divide both sides by 3/5 to solve for x

x = 120/3

120/3 can be simplified into 40

Final answer: x = 40

5 0

4 years ago

PLEASE HELP due today in 20 minutes i will mark you brainliest

zzz [600]

Excuse if I have this wrong but I’m going to guess that in every question how the 2 is up the m or the other letters that means you are multiplying that number/ letter by its self one more time so I’m not really sure, I’m sorry.

6 0

3 years ago

Create your own real-world example of a relation that is a function. Domain: The set of Range: The set of

ivanzaharov [21]

Answer:

C(t)=5000 -10t

Step-by-step explanation:

There are many examples in the real world of relationships that are functions.

For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.

If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

$C(t)=C_{0}-at\\$

Where:

C (t): Amount of water in the tank as a function of time

$C_{0}$ : Initial amount of water in the tank at time t = 0

a: amount of water lost per hour

t: time in hours

Then the equation is:

$C(t)=5000 -10t$

The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.

Its domain is the set of all positive real numbers t between [0,500]

Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty

Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres

7 0

4 years ago

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