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gulaghasi [49]
3 years ago
14

Help with this I don't know how to solve

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

The right answer is the first option, tg= \frac{\sqrt{105}}{4}

Step-by-step explanation:

The tg is the ratio of the opposite cathet to the adjacent cathet .

Here b is the opposite cathet, с is the hypotenuse and b is an adjacent cathet.

tg = \frac{b}{a}

Let's find b.

c^2=a^2+b^2\\ b^2=c^2-a^2\\ b^2=22^2-8^2\\ b^2=484-64\\ b^2=420\\ b=\sqrt{420} = \sqrt{2*21*2*5} = 2\sqrt{105}

Now let's find tgθ.

tg = \frac{b}{a} \\ tg =  \frac{2\sqrt{105}}{8} \\ tg=\frac{\sqrt{105}}{4}

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The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the
babunello [35]

Answer:

The dimensions of the rectangle = 60ft by 107ft

Where 60 ft = Width of the playing field

107ft = Length of the playing field

Step-by-step explanation:

A playing field is Rectangular is shape, hence,

The formula for Perimeter of a rectangle = 2(L + W)

P = 334 ft

L = 47 + W

W = W

Hence we input these values in the formula and we have:

334 = 2(47 + W + W)

334 = 2(47 + 2W)

334 = 94 + 4W

334 - 94 = 4W

240 = 4W

W = 240/4

W = 60

There fore, the width of this playing field = 60 ft

The length of this rectangle is calculated as:

47 + W

47 + 60

= 107 ft

The length of this playing field = 107ft

Therefore the dimensions of the rectangle = 60ft by 107ft

6 0
2 years ago
What is the volume of the oblique cube
serious [3.7K]

Answer:

\large\boxed{V=\dfrac{1600\pi}{3}\ cm^3}

Step-by-step explanation:

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 10cm and H = 16cm. Substitute:

V=\dfrac{1}{3}\pi(10^2)(16)=\dfrac{1}{3}\pi(100)(16)=\dfrac{1600\pi}{3}\ cm^3

6 0
3 years ago
molly ran 2/3 of a mile in 8 minutes . if molly runs at that speed , how long will it take her to run one mile
Tom [10]
It would take her 12 minutes because if you mutipy 2/3 by 3/2 then you get 1 (as in one mile) and then you have to do that to the other side too so then you multiply 8 by 2/3 and get 12
4 0
2 years ago
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MrRa [10]

Answer:

Quadrants 3 and 4

Step-by-step explanation:

Quadrants 3 &4 represent negative integers. If 0 on the x axis represents the average/mean number of people there, then 3& 4 show the decrease from the average number.

3 0
2 years ago
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Verdich [7]

Answer:

      Step-by-step explanation:

5a = 240.96

5b = 20.08

7 0
3 years ago
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