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Paul [167]
4 years ago
6

An airplane pilot sights a life raft at a 26° angle of depression. The airplane's altitude

Mathematics
1 answer:
Mamont248 [21]4 years ago
7 0

Answer:

Choice B.  6 km.

Step-by-step explanation:

We see this is a right triangle.

The height of this right triangle is 3 km and the angle adjacent to the height leg of the triangle is  (90 - 26 ) degrees = 64 degrees.

We want the distance d which is the leg opposite  64 degrees.

tan 64 = d / 3 km  ;

d = 3 * tan 64 =  3 * 2.0503038  km  = 6.1509 km

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Solve this system of equations: y = 7; y = -2x+1 *
Gnoma [55]

Answer:

x = -3

y = 7

Step-by-step explanation:

y = -2x + 1

7 = -2x + 1

<u>-1           -1 </u>

6 = -2x

divide by -2

x = -3

6 0
3 years ago
Read 2 more answers
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce
julsineya [31]

Answer:

The proportion of students whose height are lower than Darnell's height is 71.57%

Step-by-step explanation:

The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

What proportion of proportion of students height are lower than Darnell's height.

Answer:

We first calculate the z-score corresponding to Darnell's height using:

Z=\frac{X-\mu}{\sigma}

We substitute x=161.4 , \mu=150, and \sigma=20 to get:

Z=\frac{161.4-150}{20} \\Z=0.57

From the normal distribution table, we read 0.5 under 7.

The corresponding area is 0.7157

Therefore the proportion of students whose height are lower than Darnell's height is 71.57%

8 0
3 years ago
Can someone answer this please
ollegr [7]
The answer is symmetric because it’s equal
7 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
andre [41]

Answer:

Option A is correct.

Step-by-step explanation:

If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.

The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T

Therefore, according to the property of similar triangles we can write that

\frac{NO}{YE} = \frac{OT}{ES}  = \frac{NT}{YS}.

Therefore, option A is correct.

8 0
3 years ago
The blue dot is at what value on the number line?
Paladinen [302]

Answer: 1

Step-by-step explanation: it goes -7 -5 -3 -1 1

8 0
3 years ago
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