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atroni [7]
3 years ago
5

Find the size of angle YZX

Mathematics
1 answer:
Tasya [4]3 years ago
3 0

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm

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kompoz [17]
The answer should be 384.
Sorry if it's wrong.
6 0
3 years ago
What is a force of attraction between an object and the earth due to gravity?
nasty-shy [4]

Newton's law of gravitation says that the force due to gravitation between two objects with masses m₁ and m₁ is given by the formula

F=G\dfrac{m_1m_2}{r^2}

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3 0
3 years ago
Hank's pickup can travel 72 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 54 miles?
Ira Lisetskai [31]

Answer:

3 gallons of gas

Step-by-step explanation:

First we need to create the ratio to build our answer off of.

This ratio would be 72:4, meaning 72 miles for every 4 gallons.

We can divide 72 by 4 to find the unit rate.

72 / 4 = 18

So, the unit rate is 18 miles for every 1 gallon.

Next we need to figure out how may gallons are needed to travel 54 miles.

We can divide 54 by 18 to receive 3.

This means that our ratio needed to answer the question is 3 times the unit rate.

Our new ratio is now: 54:m, m meaning miles.

To find the amount of miles, multiply the 3 we used later, to make this ratio 3 times the unit rate.

So, our final ratio is 54:3,

meaning that Hank will have used 3 gallons of gas after traveling 54 miles.

5 0
3 years ago
If g(x)=f(x+1), then g(x) translates the function f(x) 1 unit _[blank]_.
MakcuM [25]

ANSWER

Left

EXPLANATION

The given function is

g(x)=f(x+1)

This means that the base function is:

f(x).

The translation f(x+k) will shift the graph to left by k units while f(x-k) will shift the graph to right by k units

Therefore if g(x)=f(x+1) translates the function f(x) 1 unit left.

Answer: left

7 0
3 years ago
Read 2 more answers
Ten less the quotient of a number and 3 and is 6
Minchanka [31]
"Ten less" means that we subtract 10.  "Quotient" means that we divide.  
(x / 3) - 10 = 6   I can show you how to solve for x.   Add 10 on both sides of the equation.   x / 3 = 16   Multiply both sides of the equation by 3.   x = 48
I hope I helped :)
4 0
3 years ago
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