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Mama L [17]
2 years ago
14

A student reads at a constant rate in her chapter book. this can be described by the equation y equals 1/2 x. The teacher recomm

ends that students read for 20 minutes each night. How many pages will the student complete?
In a really exciting part of the book the student read 18 pages in one sitting.for how many minutes did she read?
If the book is 245 Pages how many minutes will it take her to finish? ​
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
5 0
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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

__

<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

__

<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

__

<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

3 0
2 years ago
1) A cyclist travels a distance of 90 miles in 5 hours. What
Nostrana [21]

Answer:

Step-by-step explanation: <u>Speed</u> is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) v=\frac{distance}{time}=\frac{d}{t}

v=\frac{90}{5}

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3)  v=\frac{d}{t}

v=\frac{315}{6}

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

t=\frac{d}{v}

t=\frac{210}{90}

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

t=\frac{2000}{4}

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

v=\frac{420}{8.75}

v = 560 mph

The average speed is 560 mph.

b) t=\frac{d}{v}

t=\frac{420}{63}

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

4 0
3 years ago
Points D,E,F are non-Collin war.How many lines can be drawn that pass through F and are perpendicular to DE
Arada [10]
Points def are parallel
4 0
3 years ago
What is the value of p in the equation shown? <br> 3<br> p =-0.027
Art [367]

Answer:

According to the question,

3p=-0.027

By transposing '3' to the RHS, we get

p=0.027/3

=  p=-0.009

So in this question p=-0.009

4 0
3 years ago
Find the angle to the nearest degree. *<br> sin-10.5166<br> 1<br> 31.1°<br> 58.9°<br> 0.5°
Mice21 [21]

Given:

The given inverse trigonometric term is:

\sin^{-1}(0.5166)

To find:

The value given inverse trigonometric term.

Solution:

We have,

\sin^{-1}(0.5166)

Using the calculator, we get

\sin^{-1}(0.5166)=31.10446

\sin^{-1}(0.5166)\approx 31.1^{\circ}

The value of given term is 31.1°.

Therefore, the correct option is B.

6 0
3 years ago
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