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3 years ago

Find the perimeter and round to the nearest tenth

Mathematics

1 answer:

tekilochka [14]3 years ago

3 0

Answer:

Perimeter = 12.0 m

Step-by-step explanation:

Perimeter = AB + AC + BC

AB = 5 m

B = 53°

Use trigonometric functions to find AC and BC respectively.

✔️Find AC:

Reference angle = 53°

Opposite side length = AC

Hypotenuse = 5 m

Apply SOH, which is:

Sin 53 = Opp/Hyp

Sin 53 = AC/5

5*Sin 53 = AC

AC = 3.99317755 ≈ 4 m

✔️Find BC:

Reference Angle = 53

Hypotenuse = 5 m

Adjacent = BC

Apply CAH, which is:

Cos 53 = Adj/Hyp

Cos 53 = BC/5

5*Cos 53 = BC

BC = 3.00907512 ≈ 3.0 m

✔️Perimeter = 5 + 4 + 3 = 12.0 m

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valina [46]

Answer:

155.3 m

Step-by-step explanation:

We have:

θ: is the angle measured from the vertical = 75 °

v = is the speed of the submarine = 10 m/s

t = 1 min

The deep of the front end of the submarine at the end of a 1-minute drive is given by the following ratio:

$cos (\theta) = \frac{x}{d}$

Where:

d: is the distance traveled by the submarine in 1 minute

x: is the deep to find

The distance, d, is:

$d = v*t = 10 \frac{m}{s}* 1 min * \frac{60 s}{1 min} = 600 m$

Now, the deep is:

$cos (75) = \frac{x}{600}$

$x = cos(75)*600 = 155.3 m$

Therefore, the deep of the front end of the submarine at the end of a 1-minute drive is 155.3 m.

I hope it helps you!

3 0

3 years ago

Someone help me please! I don’t understand this.

trasher [3.6K]

All you have to do is multiply them!make sure to turn them into improper drafting before tho!

5 0

3 years ago

Make t the subject of the formula P= 3-2t ————— 4+t

Rufina [12.5K]

Answer:

$t = \frac{3 - 4p}{p + 2}$

Step-by-step explanation:

Given

$P = \frac{3 - 2t}{4 + t}$

Required

Make t the subject

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Cross Multiply

$P * (4 + t) = 3 - 2t$

$4p + tp = 3 - 2t$

Collect Like Terms

$tp + 2t = 3 - 4p$

Factorize:

$t(p+2) = 3 - 4p$

Make t the subject

$t = \frac{3 - 4p}{p + 2}$

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3 years ago

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Kobotan [32]

Answer:

Step-by-step explanation:

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Volume = length x Width x height

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then its volume = 3x4x5 = 60 $cm^{2}$

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4 years ago