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zepelin [54]
3 years ago
6

Anna walks at a constant rate of 8 miles every 2 hours Graph a line to show the relationship between the time in hours, 1 and th

e distance in miles, d, that Anna walks
1) What is the unit rate in miles per hour?
2) What is the slope of the line graphed?
3) How does the slope of the line compare to the unit rate?

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

We see that the only complete time-distance pair indicates that she walked 6.4 miles in 2 hours. If she walked at a constant speed, we can conclude that girl walked 3.2 miles in 1 hour. Using this speed, we can find the remaining values in the table. The easier entry to complete is finding out how far she walked in 5 hours: 5 hours⋅3.2 miles/hour=16 miles. To find out how long it took to walk 8 hours we can either notice that 8 is half of 16, so it took half the time to walk half the distance or we can divide 8 miles by 3.2 miles per hour to find that it took 2.5 hours

Step-by-step explanation:

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Median because the median is the MIDDLE of the data when ordered from least to greatest.
7 0
3 years ago
A plane is at cruising altitude of 10,200 feet. If the angle of depression to the run way is 18 degrees, what is the distance, t
MatroZZZ [7]

Answer: 33,007.9\ ft

Step-by-step explanation:

Given

The plane is cruising at an altitude of h=10,200\ ft

The angle of depression is \theta=18^{\circ}

Suppose the distance of the plane to the runway is x

from figure

\Rightarrow \sin 18^{\circ}=\dfrac{h}{x}\\\\\Rightarrow \sin 18^{\circ}=\dfrac{10,200}{x}\\\\\Rightarrow x=33,007.9\ ft

4 0
3 years ago
John puts the base of a 13 foot ladder 4 feet from the wall of his house. How far up the wall does the ladder reach? Round your
antiseptic1488 [7]

Answer:

12.04 feet

Step-by-step explanation:

Applying Pythagoras theorem,

a^{2}= b^{2} + c^{2}

13^{2} =4^{2} + c^{2}

c^{2} = 145

c=\sqrt{145}

c=12.04

7 0
3 years ago
Help pls also show work if needed!
mr Goodwill [35]

Answer:

yes, no, yes, no

Step-by-step explanation:

For it to be a line, that means that when x goes up by 1 y goes up by the same thing every time.

7a. from (1, 12) to (2, 8), the x coordinate goes up by 1 and the y coordinate goes down by 4. From (2, 8) to (3, 4) the y coordinate again goes down by 4 when the x coordinate goes up by 1. This pattern continues for the other points, so yes.

Do the same thing for the rest and you should get:

7b. No

7c. Yes

7d. No

4 0
3 years ago
Read 2 more answers
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest
Sati [7]

\boxed{Given:}

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

\boxed{To\:find:}

The smallest angle of the triangle.

\boxed{Solution:}

\sf\purple{C.\:37°} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = \frac{opposite}{adjacent}

✒ tan θ = \frac{6 \: cm}{8 \: cm}

✒ θ = {tan}^{ - 1} (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}

7 0
3 years ago
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