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3 years ago

In a recent survey, 8 people were each asked the number of times they have been on a airplane. Here is a list of the responses.

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

Always arrange numbers in order from least to greatest.

To find the range you take the MAXIMUM # - MINIMUM #.

MAX # = 26

MIN # = 9

26 - 9 = 17.

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{XZ}{4}$

$XZ=2\ units$

step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0

3 years ago

Read 2 more answers

The two triangles are similar.

Andrei [34K]

Answer:

x=10

Step-by-step explanation:

The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

$\frac{28}{20}=\frac{4x+2}{3x}$

Solve by cross multiplying.

28(3x) = 20(4x+2)

84x = 80x + 40

4x = 40

x=10

3 0

3 years ago

Read 2 more answers

Help and i will give you brainiest

Nat2105 [25]

C: 15,938 + 427 is 4 times as large as (15,938 + 427) /4

5 0

2 years ago

Can someone please help im struggling

NNADVOKAT [17]

Answer:

81 units³

Step-by-step explanation:

V = Length x Widht x Height

= 9 x 3 x 3

= 81 units³

5 0

3 years ago

The solution of the equation 2d - 6 = 5 is _____.

xeze [42]

Answer: d = 11/2 or 5 1/2

Step-by-step explanation:

2d - 6 = 5

+ 6 + 6

2d = 11

/2 /2

d = 11/2 or 5 1/2

7 0

2 years ago

Read 2 more answers