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lilavasa [31]
3 years ago
15

What is the measure of ZXYZ?

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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A pole, 4m high, stands, vertically, on
Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

6 0
3 years ago
A line passes through the points (8, – 7) and (6, – 3). What is its equation in slope-intercept form?
mario62 [17]

Answer:

y = − 2 x + 9

Step-by-step explanation:

Write in slope-intercept form,  y = m x + b .

4 0
3 years ago
O points
astraxan [27]

7.5 %

Step-by-step explanation:

We by finding how far from the mean the 999 volume caps are, using z score;

Z = (x – μ) / σ

Z = (999 – 998) / 7

Z = 0.143    

We use the z-table to find the confidence levels;

= 85%

= 0.85

Since we are finding proportion of bottles have volumes greater than 999

mL;

1 – .85 = .15

0.15/2 = 0.075

= 7.5%

5 0
2 years ago
Which sentence explains the correct first step in the solution of this equation? 4 • (x – 3) = 9
Maurinko [17]
B: Apply the distributive property to get 4x - 12=9
4 0
3 years ago
Read 2 more answers
If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find h
CaHeK987 [17]

Answer:

He is 20 at oldest, or x\leq 20

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.

4 0
2 years ago
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