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3 years ago

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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For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going alo

kompoz [17]

Answer:

Richard is older

Step-by-step explanation:

We can set up an inequality for both statements.

Let r equal Richard's age and s equal Sylvia's age.

"I am older than my wife."

Since Richard is speaking, the inequality would look like this:

r > s

This means Richard is older than Sylvia.

"I am younger than my husband."

Since Sylvia is speaking, the inequality would look like this:

s < r

This means that Sylvia is younger than Richard.

We can flip one inequality to "see" them from the same perspective.

Let's use s < r

To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.

s < r

r > s

The inequality from the first quote is identical to this one!

Therefore, Richard is older than Sylvia.

8 0

2 years ago

During the school year or each student planted 2 * 10^2 trees as part of a community service project. If there are 3.5 * 10^3 st

Nookie1986 [14]

Total 7*10^5 trees were planted.

Further explanation:

The product of both quantities will give us the total number of trees planted by the students for the community project.

So,

Given

$Trees\ planted\ by\ each\ student=2*10^2\\Total\ students\ in\ school=3.5*10^3\\Total\ trees\ planted= (2*10^2)*(3.5*10^3)\\= 7*10^5\ trees$

So, total 7*10^5 trees were planted.

Keywords: Product, exponents

Learn more about product and exponents at:

#LearnwithBrainly

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3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

dybincka [34]

Do 36 divided by the amount of sides the hexagon has. I think I am not sure

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3 years ago

4 consecutive integers is 130

Blababa [14]

Answer:

whats the question

Step-by-step explanation:

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3 years ago

A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200

kotykmax [81]

Answer:

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

$(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )$

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

$(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )$ = 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

( 10 ±4 )

( 10 -4 , 10+4)

( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )

8 0

2 years ago