Hey, can anyone help me with this?

What is the ratio for sin Y if tan Y = 8/15?

jeyben [28]

Answer: 8/17

Step-by-step explanation: The ratio for tangent is opposite/adjacent. The side opposite from Y has a length of 8, and the side next to it has a length of 15. These are the lengths of the legs of the triangle. To find the sine ratio, you need the hypotenuse.

The hypotenuse can be found using the Pythagorean theorem. 8^2=64 and 15^2=225. 225+64=289. The square root of 289 is 17. The hypotenuse has a length of 17.

The ratio for sine is opposite/hypotenuse. Take the value of the opposite from the tangent ratio (8) and the length of the hypotenuse (17) to get 8/17.

6 0

3 years ago

Can someone help ne with this question please

bezimeni [28]

Answer: 34

Step-by-step explanation: 2/5 = 4/10 = 12/30 This means that the machine cuts out 12m lengths for every roll now you just take 400/12 and you get your answer. Now 400/12 will be 33,333... So just round it up to how many she needs aka 34

3 0

3 years ago

Darrel has 36 daisies and 54 roses. He wants to put an equal number of daisies and roses into vases. What is the GREATEST number

castortr0y [4]

Answer:

18 number of daisies and 18 number of roses

Step-by-step explanation:

We are told Darrel has 36 daisies and 54 roses.

And that He wants to put an equal number of daisies and roses into vases.

To get the equal number, it means we have to find the greatest common factor of 36 and 54.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54

From the factors of both 36 and 54, the greatest common factor to both of them is 18.

Thus, the GREATEST number of daisies and roses Darrel can put in each vase is 18 each

5 0

3 years ago

The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui

mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

$s(t) = -16t^2+v_0t+s_0$

Where,

$s_0$ = initial height of the object,

$v_0$ = initial velocity of the object,

Here,

$s_0=400\text{ feet}$

$v_0=35\text{ feet per sec}$

Hence, the height of the ball after t seconds,

$s(t)=-16t^2+35t+400$

When s(t) = 0,

$\implies -16t^2+35t+400=0$

$t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}$

$t=\frac{-35\pm \sqrt{1225+25600}}{-32}$

$\implies t\approx -4.02\text{ or }t\approx 6.21$

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

4 0

3 years ago

A pump fills a pool at the rate of 20 cubic meters in an hour. If each cubic meter of water costs $10, how many minutes will the

fomenos

The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.

The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.

You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.

It will take 90 minutes for the pump to use $300.

7 0

3 years ago