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2 years ago

Plz help me asap !!!

Mathematics

1 answer:

ELEN [110]2 years ago

8 0

Answer:

all I know is sin square A +cos square A =1

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Solve for x in the triangle. Round your answer to the nearest tenth.

Stolb23 [73]

Answer:

x ≈ 5.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin64° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{6}$ ( multiply both sides by 6 )

6 × sin64° = x , then

x ≈ 5.4 ( to the nearest tenth )

3 0

2 years ago

Convert the Cartesian equation x^2 + y^2 = 16 to a polar equation.

RideAnS [48]

Answer:

Problem 1: $r=4$

Problem 2: $r=-2\sin(\theta)$

Problem 3: $r\sin(\theta)=3$

Step-by-step explanation:

Problem 1:

So we are going to use the following to help us:

$x=r \cos(\theta)$

$y=r \sin(\theta)$

$\frac{y}{x}=\tan(\theta)$

So if we make those substitution into the first equation we get:

$x^2+y^2=16$

$(r\cos(\theta))^2+r\sin(\theta))^2=16$

$r^2\cos^2(\theta)+r^2\sin^2(\theta)=16$

Factor the $r^2$ out:

$r^2(\cos^2(\theta)+\sin^2(\theta))=16$

The following is a Pythagorean Identity: $\cos^2(\theta)+\sin^2(\theta)=1$ .

We will apply this identity now:

$r^2=16$

This implies:

$r=4 \text{ or } r=-4$

We don't need both because both of include points with radius 4.

Problem 2:

$x^2+y^2+2y=0$

$(r\cos(\theta))^2+(r\sin(\theta))^2+2(r\sin(\theta))=0$

$r^2\cos^2(\theta)+r^2\sin^2(\theta)+2r\sin(theta)=0$

Factoring out $r^2$ from first two terms:

$r^2(\cos^2(\theta)+\sin^2(\theta))+2r\sin(\theta)=0$

Apply the Pythagorean Identity I mentioned above from problem 1:

$r^2(1)+2r\sin(\theta)=0$

$r^2+2r\sin(\theta)=0$

or if we factor out r:

$r(r+2\sin(\theta))=0$

$r=0 \text{ or } r=-2\sin(\theta)$

r=0 is actually included in the other equation since when theta=0, r=0.

Problem 3:

$y=3$

$r\sin(\theta)=3$

8 0

3 years ago

It takes 4 people 6 days to paint a wall. How many days would it take 12 people

Aleks04 [339]

Answer:

There are more than one way to do this:

Here's one way:

The least common multiple of 4 people and 3 people is 12 people.

12 people is 3 times as many people as 4 people, and

12 people is 4 times as many as 3 people.

Since 4 people take 6 days, 3 times as many people take only

one-third as long, or only 2 days. (since 2 is one-third of 6)

Since 3 people is only one-fourth as many people as 12, it will take

them 4 times as long as it would take 12 people, or 8 days. (since

4 times 2 is 8).

Step-by-step explanation:

subtract 8 from 12

4 days

6 0

2 years ago

Susan is attempting to construct a square table with each side length equaling three feet. To check her work, Susan measures the

maks197457 [2]

The diagonal should be 3 feet

8 0

2 years ago

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Forty-five more than a number

Maslowich

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

8 0

2 years ago

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