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3 years ago

Find the following trigonometric values.

Mathematics

1 answer:

Alona [7]3 years ago

6 0

Answer:

$\cos(150)\degree = -\frac{\sqrt{3}}{2}\\$

$\sin(150)\degree=\frac{1}{2}\\$

Step-by-step explanation:

Formulae used:

cos (180°-θ) = -cos θ

sin (80°-θ) = sin θ

Therefore,

$\cos(150)\degree = cos(180-30)\degree = -\cos(30)\degree = -\frac{\sqrt{3}}{2} \\\\\sin(150)\degree = sin(180-30)\degree = \sin(30)\degree = \frac{1}{2} \\\\$

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At a fair cake-eating contest, Bobby ate three cakes in 20 minutes. At the same speed, how long did it take to win the contest b

Alina [70]

Answer:

140 minutes

Step-by-step explanation:

First divide 21 by 3 to get 7

Then do 20*7 to get 140 :)

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3 years ago

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Please help! What is the answer?

telo118 [61]

Answer: 6.4cm

Step-by-step explanation:

The area of a trapezoid is given as:

= 1/2(a + b)h

We then slot the given values into the formula. This will be:

1/2(15.8 + b) × 7.3 = 81.03.

7.3(15.8 + b)= 81.03 × 2

7.3(15.8 + b) = 162.06

115.34 + 7.3b = 162.06

7.3b = 162.06 - 115.34

7.3b = 46.72

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Therefore, the answer is 6.4cm.

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3 years ago

Which equation represents the relationship between the number of buses and the number of people transported by the bus.

bezimeni [28]

Answer: y= 45 x and 1800 people

Step-by-step explanation:

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3 years ago

A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight

bixtya [17]

Answer:

The percentage is 55% when weight limit is 33 pounds.

The percentage is 190% when weight limit is 114 pounds.

The 95% of the limit weighs 57 pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{33}{60}\times100 = 55\%$

Hence The percentage is 55% when weight limit is 33 pounds.

Now Solving for b we get;

Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{114}{60}\times100 = 190\%$

Hence The percentage is 190% when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{95}{100}\times60 = 57 \pounds$

Hence The 95% of the limit weighs 57 pounds.

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4 years ago

8x – 6 = 2 (4x + 3) Is it no solution?

loris [4]

Answer:

X=12

Step-by-step explanation:

8×-6=2(4×+3)

8x-6=8×+6

8×-8×=6+6

×=12

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4 years ago

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