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3 years ago

Find the missing length. Round to the nearest tenth, If necessary.

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Using the formula a² + b² = c² but reversing it to c² - b² = x² where x replaces the a for comprehension reasons

so this is the formula
c² - b² = x²

insert the numbers on the triangle in the picture
21² - 8² = 377

since 377 is squared and not the side length, we need to square root it to find x
√377 = 19.4~

Answer: x = 19.4

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When seven basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select

irakobra [83]

Answer:

1 / 5040

Step-by-step explanation:

The number of ways that 7 basketball players can be arranged is 7! = 5040. Only one of these arrangements is alphabetical. So the probability is 1/5040.

8 0

3 years ago

A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1 - 3.6x2, where x2 is a dumm

AveGali [126]

Answer:

a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

Step-by-step explanation:

For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

$t(x1, 0)= 24.6 + 0.055x1\\t(x1, 1) = 24.6 + 0.055x1 - 3.6\\t(x1, 1) = t(x1, 0) - 3.6$

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

8 0

3 years ago

Given ZW=20. Answer the questions please.

djyliett [7]

a) Corresponding angles of similar figures are congruent, so $\angle B \cong \boxed{\angle Z}$

b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is $\frac{25}{10}=\boxed{5/2}$

c) Since the scale factor is 5/2,

$\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}$

8 0

2 years ago

State the type of angles and solve for the given variable.

Evgen [1.6K]

Step-by-step explanation:

the given pair is Alternate Exterior Angle

so their values are equal so,

→ 2x + 26 = 3x - 33

→ 2x - 3x = -33 - 26

→ x = 59

therefore option C is correct

hope this answer helps you dear...take care and may u have a great day ahead!

6 0

2 years ago

What is the relationship between the value of the first 5 and the value of the second 5 in 5500

andrew11 [14]

the first 5 is in the thousands place. The second 5 is in the hundredths place.

8 0

2 years ago