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4 years ago

If sinθ = 7/25 and tanθ = 7/24, find cosθ.

Mathematics

2 answers:

Alex4 years ago

8 0

Answer:

cos θ= 24/25

Step-by-step explanation:

Draw a triangle to help.

We know the hypotenuse is 25 since sin is opposite/hypotenuse.

We know the side opposite to theater is 7 and the side adjacent to theater is 24, since tan is opposite/adjacent.

bearhunter [10]4 years ago

5 0

Answer:

Step-by-step explanation:

$sin \theta=\frac{7}{25}\\ tan \theta=\frac{7}{24}\\ \frac{sin ~\theta}{cos~\theta}=\frac{7}{24} \\cos~\theta=\frac{24}{7} \times~sin~\theta=\frac{24}{7} \times \frac{7}{25} =\frac{24}{25}$

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Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1

loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (x - a), then the remainder of the operation will be given by P(a).

Our polynomial is:

$P(x) = x^3-4x^2-6x-3$

And we want to find the remainder when it's divided by the binomial:

$x+1$

We can rewrite our divisor as (x - (-1)). Hence, a = -1.

Then by the PRT, the remainder will be:

$\displaystyle\begin{aligned} R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}$

The remainder is -2.

5 0

3 years ago

Find the whole quantity if 5 percent of it is 500

liq [111]

Answer:

10,000

Step-by-step explanation:

500/0.05= 10,000

You take the amount you are given divided by the decimal form of the percentage you are given to find the answer. It's a reverse from the way you find 5% of 10,000.

0.05=5%

Check your work: 10,000*5%= 500

5 0

3 years ago

Raina makes fruit punch with 24.2 ounces of apple juice and 18.4 ounces of pineapple juice. He splits the fruit punch equally in

tangare [24]

7.1 ounces in each glass

8 0

3 years ago

Read 2 more answers

What is the perimeter of the shape? 12 ft 14 ft 26 ft 38 ft

Makovka662 [10]

Answer:

Step-by-step explanation:

4+10+9+3=26

9-4=5

10-3=7

26+5=31

31+7=38

Hope this helps! Have a great day ahead. Tell me if im wrong :) Stay Safe <3

8 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

IgorC [24]

Answer:

$9.99\text{secs}$

Explanation:

Here, we want to find the time the rocket will hit the ground

What we have to do is to substitute 0 for the height of the rocket y and solve the quadratic equation that results

That simply means we are solving for:

$0=-16x^2+149x+108$

We can use the quadratic formula to solve this

$x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

where a is the coefficient of x^2 which is -16

b is the coefficient of x which is 149

c is the last number which is 108

Substituting the values, we have it that:

$\begin{gathered} x\text{ = }\frac{-149\pm\sqrt[]{149^2-4(-16)(108)}}{2(-16)} \\ \\ x\text{ = }\frac{-149\pm\sqrt[]{29113}}{-32}\text{ } \\ \\ x\text{ = }\frac{-149-170.625\text{ }}{-32} \\ or\text{ } \\ x\text{ = }\frac{-149_{}+170.625}{-32} \end{gathered}$

Now, we proceed to get the individual x-values:

$\begin{gathered} x\text{ = }\frac{-149-170.625}{-32}\text{ = 9.99 } \\ or \\ x\text{ = }\frac{-149+170.625}{-32}\text{ = -0.68} \end{gathered}$

Since time cannot be negative, we use the first value only

6 0

1 year ago