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3 years ago

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

Mathematics

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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Nitella [24]

Domain and Range both are real numbers for all odd-degree polynomial functions.

Writing in an Interval Form, note that we use the least value in the left and the most value in the right.

From [a,b], [a,b), (a,b] or (a,b) | a must be less than b.

Therefore, the D choice is wrong in Interval part (However, right in range and domain but just for interval order.)

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3 0

3 years ago

Using Proportions to Make a Prediction

worty [1.4K]

<h2>○=> <u>Solution (1)</u> :</h2>

Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

$=\tt \frac{14}{25} \times 500$

$=\tt \frac{14 \times 500}{25}$

$= \tt \frac{7000}{25}$

$\color{plum}= \tt280 \: people$

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, <em>280 people</em> would buy cereal bars.

<h2>○=> <u>Solution (2)</u> :</h2>

Ratio of cars which worked well to cars which were defective = 297:3

Number of care produced each day = 1000

Number of defective cars produced each day :

$= \tt \frac{3}{200} \times 1000$

$=\tt \frac{3 \times 1000}{200}$

$= \tt\frac{3000}{200}$

$\color{plum} = \tt15 \: defective \: cars$

Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, <em>15 cars</em> are defective.

5 0

4 years ago

Write an equation of the line passing through the point (-10,3) that is parallel to the line 5x+2y=12

dangina [55]

y= (-5/2)x - 22

because 5x+2y=12 turns to y=(-5/2)x + 6 and the line parallel to it has to have the same slope so you have to just get the y intercept by plugging in -10 into the equation (-5/2)(-10)+?=3 and ?= -22.

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3 years ago

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sertanlavr [38]

(-3,0) Represents this function. Or are there answer choices?

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4 years ago

Solve please and thank youuuu (pic)

GrogVix [38]

Answer:

It is y less than or equal to sign minus 1

Step-by-step explanation:

Switch sides

Subtract 9 from both sides

Simplify

Divide both sides by two

Then, you simplify

That is how you get your answer

4 0

4 years ago

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

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