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atroni [7]
4 years ago
5

Find the size of angle YZX

Mathematics
1 answer:
Tasya [4]4 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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Please help me. Thank you!
olga_2 [115]

Answer:

-4, -4, 3, 8, 8

Step-by-step explanation:

-4(5+(-2))=-4(5)+-4(-2)

This is because of the distributive property. You have to distribute the 4 to the 5 and the -2.

-4(3)=-20+8

This is because since both the 5 and the -2 are being multiplied by -4, you can combine the 5 and the -2 to get 3 and then multiply that by -4.

This means (-4)(-2)=8

This is because (4)(2)=8 and two negatives make a positive.

7 0
3 years ago
15 r minus 6 r = 36. What is the value of r?
vodomira [7]

Answer:

r=4

Step-by-step explanation:

15r-6r=36

9r=36

r=36/9

r=4

3 0
3 years ago
Read 2 more answers
The solution to a problem is an irrational number. Which statement is true about the solution?
navik [9.2K]

Group of answer choices.

A. It can be expressed as a non repeating, non terminating decimal.

B. It can be a perfect square

C. It cannot be pie π

D. It is not possible to have a irrational number solution.​

Answer:

A. It can be expressed as a non repeating, non terminating decimal.

Step-by-step explanation:

An irrational number can be defined as real numbers that cannot be expressed as a simple fraction or ratio of two integers.

Additionally, it is the opposite of a rational number and as such its decimal is continuous without having any repetition or termination. For example, pie (π) = 3.14159 is an example of an irrational number.

Assuming the solution to a mathematical problem is an irrational number. The statement which is true about the solution is that it can be expressed as a non-repeating, and non-terminating decimal.

6 0
3 years ago
A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre=43560 ft?? Use correct
MA_775_DIABLO [31]

Answer:

<h2>The area of the pitch in an acre is  1.32 acre</h2>

Step-by-step explanation:

This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre

first, let us convert from the yard to feet

given that the dimension of the pitch is

120 yards by

53.333 yard

1 yard is 3 foot

120 yards will give x

cross multiply we have

x1= 120*3

x1= 360 feet

also the second dimension is

x2= 53.333*3

x2= 159.999

x2= 159.999 feet

the area of the pitch is

area= 159.999*360

area= 57599.64 ft^2

Note: an acre is a unit for land area (1 acre=43560 ft^2)

if 1 acre = 43560 ft^2

x acre =  57599.64 ft^2

cross multiply we have

x acre =  57599.64/43560

x acre = 1.32 acre

5 0
3 years ago
What is the ratio of the number of dollars in Andy's pocket to the number of dollars in Ron's pocket?
fomenos
Well we would need to know how much is in each pocket. So for example is Jan has 10$ in hers and Logan has 6 in his the ratio would be 10:6 I hope this makes sense
8 0
3 years ago
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