Find x, y, and z.

Multiple choice answers are below!
Find x, y, and z. Multiple choice answers are below! - 1

Answers

Answer 1
Answer:

Answer:

The correct answer is B. x ≈ 4.5, y = 5, z = 9

Step-by-step explanation:

1. We will use the Pythagorean theorem for solving for x, this way:

x² = 6² - 4²

x² = 36 - 16

x² = 20

x = √20

x = 2 √5 = 4.47 ≈ 4.5

2. For solving for y, we will do it this way:

There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.

If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.

Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9


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A large cylinder with height of 3 ft and a diameter of 2 ft is filled with water. Angelica
uses a large cylindrical cup with a height of 1
__

2 ft
and a diameter of 1
__

4 ft to scoop water from the
container.
(a)
What is the exact volume of the large
cylinder?
(b)
What is the exact volume of the cup?
(c)
How many full cups of water can Angelica
get from the container

Answers

Given:
large cylinder: height = 3 ft ; diameter = 2 ft
cylinrical cup: height = 1/2 ft ; diameter = 1/4 ft

Volume of a cylinder = π r² h

large cylinder volume = 3.14 * (1ft)² * 3ft = 3.14 * 1ft² * 3ft = 9.42 ft³

cylindrical cup volume = 3.14 * (0.125ft)² * 1/2 ft = 3.14 * 0.015625ft² * 0.5ft =  0.0245 ft³

9.42 ft³ ÷ 0.0245ft³ = 384.489 cups

Suppose the lengths of the lengths of two strings are 10 centimeters and 17 centimeters. Describe how the lengths of these two strings compare.

Answers

-- The lengths of the two strings are not equal.
   They are different.

-- The 10-centimeter string is shorter than the 17-centimeter one.

-- The 17-centimeter string is longer than the 10-centimeter one.

(I'll bet you knew all of those things, but you were
afraid to say them because it's math and everybody
thinks that math is hard.  Am I right ?)
Let's just say that the string that is 10 cm long is string A and the string that is 17 cm long is string B. Because 10 < 17, string A is shorter than string B. Conversely, because 17 > 10, string B is longer than string A.

I dont get what to do

Answers

I'm pretty sure you're just solving for x. For example, in 26. You have:
x/18 = 4.5
You multiply both sides by 18 to get the x by itself
x = 4.5 • 18
You simplify this
x = 81
24.  x= 15.625
26. x= 81
28. x= 980
30. x=2 

Stephen has been saving money to buy a new car. The new car costs $21,920.00. He has to pay 17.25% in taxes based off the cost of the car. If he also purchases an extended warranty for $1,200.00, what is a reasonable estimate for the total price of the car?sorry the numbers were mixed up!

Answers

The total price of the car is $26901.20

Step-by-step explanation:

It is given that,  

  • The cost of the new car = $21,920.00
  • The tax percent for the cost of the car = 17.25%
  • He also purchases an extended warranty for the car = $1,200.00

To find the total price of the car :

Total Price = cost of the car + Tax cost + warranty cost.

The cost of the car and warranty cost are already given. So, we need to calculate the Tax amount paid for the car.

Tax amount = 17.25% of $21,920.00

17.25/100 × 21,920.00

⇒ 0.1725 × 21,920

⇒ 3781.2 dollars.

Therefore, the cost of tax is $3781.2

Now, coming to the total price of the car,

Total Price ⇒ 21,920.00 + 3781.20 + 1200.00  = 26901.20  dollars.

The total price of the car is $26901.20

The moon is about 240,000 miles from Earth. What is this distance written as a whole number multiplied by a power of ten?

Answers

it is 2.4 × 10^5. this is also known as scientific notation

Add the rational expressions

Answers

I hope my steps were clear. this involves the difference of squares and factoring