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4 years ago

Graph a right triangle with the two points 4,5 and -4,8

Mathematics

1 answer:

Katyanochek1 [597]4 years ago

6 0

Answer:

Step-by-step explanation:

Please write points using parentheses: (4, 5) and (-4, 8}.

(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5). From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4). This sloping line is the hypotenuse of a right triangle. Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5). This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.

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An airplane is flying at a height of 5 kilometers above the ground. The distance along the ground from the airplane to the airpo

Cerrena [4.2K]

$\rule{70mm}{2.9pt}$

$\large \sf{✟ \: Problem \: ✟} :$

An airplane is flying at a height of 5 kilometers above the ground. The distance along the ground from the airplane to the airport is 7 kilometers. What is the angle of depression from the airplane to the airport? (Write the answer to the nearest degree.)

$\rule{70mm}{2.9pt}$

$\large \sf{✟ \: Solution \: ✟} :$

✞ Step 1 ✞: Identify what is asked in the problem.

❒ The angle of depression from the airplane to the airport.

✞ Step 2 ✞: Use appropriate trigonometric ratio to solve the problem.

❒ Since the two legs of the right triangle are part of the problem, hence we use tangent ratio:

$\qquad \qquad \bigstar \: \: \boxed{\tt{ \quad \tan A \degree = \frac{5}{7} \quad}}$

✞ Step 3 ✞: Solution and interpretation.

$: \qquad \large \implies \tt{ \tan A = \frac{5}{7} }$

$: \qquad \large \implies \tt{A = \tan^{ - 1}(\frac{5}{7} )}$

$: \qquad \large \implies \tt{A = 35.54 \approx \pmb{36 \degree}}$

$\rule{70mm}{2.9pt}$

$\large \sf{✟ \: Answer \: ✟} :$

Hence, the angle of depression from the airplane to the airport is approximately 36°.

$\rule{70mm}{2.9pt}$

$\large \bold{✰ \: MrHarold \: ࿐}$

8 0

2 years ago

A membership committee of three is formed from four eligible members. let the eligible members be represented by a, b, c, and d.

Lynna [10]

The correct statements are:

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

There are four ways to choose the committee.

This statement is true.

since we have to choose 3 members out of the 4 members so we can use the method of combination.

There are three ways to form the committee if person D must be on it.

This statement is also true.

since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

i.e. there are 35 combinations possible.

If persons B and C must be on the committee, there are two ways to form the committee.

if B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be in the committee then as in last option we have to choose any one of the two person left.

so possible number of ways are 2.

Hence, the statement is false.

Learn more about Combinations:

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3 0

2 years ago

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saveliy_v [14]

Answer:

Step-by-step explanation:

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aleksley [76]

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3 years ago

Graph a right triangle with the two points 4,5 and -4,8​

Graph a right triangle with the two points 4,5 and -4,8