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postnew [5]
3 years ago
5

LaTanya will walk her bike from her house to the bike shop, which is 1.5 mi from her house, to get the bike fixed. She expects t

o wait 30 min for the repair. Then she will ride her bike home. Can she be home in one hour?
Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

no

Step-by-step explanation:

30+30=60

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From the top of a lighthouse 280 feet tall, to keep her spot a ship in distress at an angle of depression of 18°. How far is the
solong [7]

Given:

Height of the lighthouse = 280 feet

The angle of depression from the top of the lighthouse to a ship = 18°.

To find:

The distance between boat and shore.

Solution:

Draw a diagram by using the given information.

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

In triangle ABC,

\tan C=\dfrac{AB}{BC}

\tan 18^\circ=\dfrac{280}{BC}

BC=\dfrac{280}{\tan 18^\circ}

Using a calculator, we get

BC=\dfrac{280}{0.3249}

BC=861.80363...

BC\approx 862

Therefore, the boat is 862 feet away from shore.

4 0
3 years ago
Which number line shows the inequality n< - 1?
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The third number line on the picture
4 0
3 years ago
95/8 -17/8 what does it equal
Rufina [12.5K]
Input the fraction = 95/8 
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8 0
3 years ago
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Lily graphs segment LM. Then, she reflects the segment across the y-axis. Which statement compares the lengths of the segment LM
Free_Kalibri [48]

Solution

The reflection is a rigid transformation. This does not affect the length of a line segment.

Therefore, the line segments are equal.

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The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)​
wariber [46]

Answer:

<em>y - 7 = 1 (x-5)</em>

Step-by-step explanation:

The point slope equation of a line is expressed as;

y - y0 = m(x-x0)

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(x0, y0) is the point on the line

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Substitute into the formula

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y = x - 5 + 7

y = x + 2

<em>Hence the point slope equation of the line is y - 7 = 1 (x-5)</em>

<em></em>

<em></em>

3 0
2 years ago
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