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3 years ago

Find the answer to each trigonometric function below.

Mathematics

1 answer:

Airida [17]3 years ago

8 0

Answer:

Sin A = $\frac{opposite}{hypotenuse} =\frac{32}{40} =\frac{4(8)}{5(8)} =\frac{4}{5}$
Cos C = $\frac{adjacent}{hypotenuse} =\frac{16}{34}=\frac{2(8)}{2(17)} =\frac{8}{17}$
Tan A = $\frac{opposite}{adjacent} =\frac{21}{20}$

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2. The length of a rectangle exceeds its breadth by 5m.If the perimeter of the rectangle is 74m,find the length and breadth of t

AURORKA [14]

Step-by-step explanation:

length = breadth + 5

the perimeter is a rectangle is

2×length + 2×breadth

in our case

2×length + 2×breadth = 74

so, we use the first equation in the second equation :

2×(breadth + 5) + 2×breadth = 74

2× breadth + 10 + 2× breadth = 74

4×breadth = 64

breadth = 16 m

length = breadth + 5 = 16 + 5 = 21 m

7 0

2 years ago

Angle 0 is in the second quadrant, and sin 0=3/5

Aneli [31]

ANSWER

The value of theta in the second quadrant is,

$143.1 \degree$

EXPLANATION

The given trigonometric equation is
$\sin( \theta) = \frac{3}{5}$

This implies that,

$\theta= arcsin(\frac{3}{5} )$

This implies that the principal solution is
$\theta = 36.9 \degree$
and it is an angle in the first quadrant.

But the solution we are looking for is an angle in the second quadrant.

This is given by
$180 - \theta = 180 - 36.9 = 143.1 \degree$

8 0

4 years ago

In a particular year, a total 44,064 of students studied in two of the most popular host countries when traveling abroad. If 83

zaharov [31]

Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

6 0

4 years ago

Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey's dog weighs 33 pounds. What is the di

wolverine [178]

Answer:

64 ounces.

Step-by-step explanation:

Given:

Drew has two cats.

One cat weighs 17 pounds.

The other one weighs 12 pounds. (instead of 1212 pounds)

Audrey's dog weighs 33 pounds.

Question asked:

What is the difference in ounces between Audrey's dog and the combined weights of Drew's cats ?

Solution:

For Drew

Weight of one cat = 17 pounds

Weight of another cat = 12 pounds

Combined weight = 17 pounds + 12 pounds = 29 pounds

Now, convert it into ounces:-

As we know:

1 pound = 16 ounces

29 pounds = 16 $\times$ 29 = 464 ounces

For Audrey

Weight of dog = 33 pounds

Now, convert it into ounces:-

1 pound = 16 ounces

33 pounds = 16 $\times$ 33 = 528 ounces

Combined weight of Drew's cats = 464 ounces

Weight of Audrey's dog = 528 ounces

Difference = 528 ounces - 464 ounces = 64 ounces

Thus, the difference in ounces between Audrey's dog and the combined weights of Drew's cats is of 64 ounces.

5 0

3 years ago

How do you solve this equation 4-2(v-6)=-8

Umnica [9.8K]

Answer:

first, subtract 4 from each side of the equation to isolate the term with parenthesis while keeping the equation balanced:

−4+4−2(v−6)=−4−8

0−2(v−6)=−12

−2(v−6)=−12

Next, divide each side of the equation by −2 to eliminate the need for parenthesis while keeping the equation balanced:

−2(v−6)−2=−12−2

−2

(v−6)−2

v−6=6

Then, add 6 to each side of the equation to solve for v term while keeping the equation balanced:

v−6+6=6+6

v−0=12

v=12

3 0

3 years ago

Read 2 more answers

Find the answer to each trigonometric function below. ​

Find the answer to each trigonometric function below.