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Aliun [14]
2 years ago
11

Space Shuttle Marion is observing the launch of a space

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
3 0

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

\tan{16^\circ} = \frac{1}{x_1}

x_1 = \frac{1}{\tan{16^\circ}}

x_1 = 3.5

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

\tan{74^\circ} = \frac{1}{x_2}

x_2 = \frac{1}{\tan{74^\circ}}

x_2 = 0.3

The distance is:

d = x_1 - x_2 = 3.5 - 0.3 = 3.2

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at brainly.com/question/18090623

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Mrs Belen wanted to bake 10 loaves of bread but realized she needed 1.75 more of flour. If she baked 7 loaves of bread she would
Pani-rosa [81]
To answer this question, follow this step by step procedure:1. Add first the needed and the excess flour to determine to total flour, = (1.75 kg + 0.5 kg = 2.25)2. Then divide the answer by 3 since you need to have 3 more breads, 2.25 kg / 3 = 0.75 kg
So we can say that we need 0.75 kilogram of flour for each loaf of bread.
3 0
3 years ago
What is the rate of change of the function?
Alona [7]

We have been given that on a coordinate plane a line with negative slope passes through points (0,1) and (1,-1). We are asked to find the rate of the change of the function.

We know that slope represents rate of change of function.

We will use slope formula to solve our given problem.

m=\frac{y_2-y_1}{x_2-x_1}

Let (x_1,y_1)=(0,1) and (x_2,y_2)=(1,-1).

m=\frac{-1-1}{1-0}

m=\frac{-2}{1}

m=-2

Therefore, the rate of change of the given function is -2.

8 0
3 years ago
Read 2 more answers
NEED HELP ASAP THANKS.
Anna007 [38]

Answer:

your anwser would be C

Step-by-step explanation:

5 0
2 years ago
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski
valina [46]

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

3 0
2 years ago
Solve for f f+0.2=−3 <br><br> a. f= -3.2 <br> b. f= -2.8<br> c. f=2.8<br> d.f=3.2
Juliette [100K]
The answer is A. You have to isolate the variable(f) by subtracting 0.2 from both side. When youve done that, the answer should be -3.2
7 0
3 years ago
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