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sertanlavr [38]

3 years ago

13

Can someone help me do these 2 questions?? It's Trigonometry..

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

6. 36°

7. 33.1 cm

Step-by-step explanation:

6. The tangent function relates the sides of a right triangle to the acute angles. Here, the angle west of south that is the direction of the ship from harbour is related to the distances by ...

tan(angle) = (18 km)/(25 km)

Then the angle can be found using the inverse tangent function:

angle = arctan(18/25) ≈ 35.75°

The direction back to the harbour is this same angle east of north. Since bearing angles are measured clockwise from north, the desired bearing is 36°.

__

7. The cosine function relates the hypotenuse of a right triangle to the side adjacent to the angle of interest. Here, we have ...

cos(72°) = (diameter of glass)/(straw length to glass rim)

straw length to glass rim = (diameter of glass)/cos(72°) ≈ (9 cm)/0.309017

straw length to glass rim ≈ 29.1 cm

The straw extends 4 cm above the rim of the glass, so is 4 cm longer than this calculated value. The straw is about 33.1 cm long.

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The mass of an adult North Pacific right whale is about 70,000 kg, or 7 x 104

olasank [31]

Answer:

Answer B: $1*10^2$ times

Step-by-step explanation:

To find how many times more massive is the whale relative o the polar bear, we just need to find the quotient of one over the other:

$\frac{7*10^4}{7*10^2} = \frac{7*10^2*10^2}{7*10^2}=1*10^2$ times

Therefore our answer agrees with the one shown as answer B.

6 0

3 years ago

Read 2 more answers

The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the sur

S_A_V [24]

Answer : Surface area of pyramid = 4406832 square cm.

Explanation :

Since we have given that

Side of square base = 1212 cm

Slant height of pyramid = 1818 cm

As we know that ,

$\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}$

$\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm$

Now,

$\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}$

Hence, surface area of pyramid = 4406832 square cm.

5 0

3 years ago

What is the first step in simplifying the expression 11x-2-3(1-7x)^2/(x+1) ? square the binomial multiply the binomial by 3 divi

Delicious77 [7]

Answer:

Square the binomial :)

Step-by-step explanation:

6 0

3 years ago

A line in the xy-plane that passes through the coordinate points (3, -6) and (–7, –4) will never intersecta line that is represe

anyanavicka [17]

Answer:

option A

Step-by-step explanation:

given coordinate (3, -6) and (–7, –4)

to find the equation of line

slope of the line passing through both the point will be

$m = \dfrac{y_2-y_1}{x_2-x_1}$

$m = \dfrac{-4+6}{-7-3}$

$m = -\dfrac{2}{10}$

equation of line

( y - y₁ ) = m ( x - x₁ )

$y + 6= -\dfrac{2}{10}(x - 3)$

x + 5 y = -27

line which will not intersect will be parallel to it so option A has same slope as our line equation i.e. -1/5

hence, correct answer is option A

3 0

3 years ago

Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)

Margaret [11]

(-7)*(2/5 + (-3/7))
= -14/5 + 3
=1/5

5 0

3 years ago