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3 years ago

Please answer I will be giving out brainliest and 27 points.

Mathematics

1 answer:

maria [59]3 years ago

6 0

1. 21 peanuts per minute
2. 9 texts per minute
3. 28 pages per hour OR half a page per minute

4. The first option is the cheapest. You can find what one ounce costs for each barrel by dividing the cost by the total ounces.

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In the 30-60-90 triangle below, side s has a length of _ and side q has a length of _.

gregori [183]

Answer: F

Step-by-step explanation:

For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.

2x=10

x=5

Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.

The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.

4 0

3 years ago

Two consecutive odd numbers total 32. Find the smaller.

LuckyWell [14K]

Answer:

Step-by-step explanation:

If you divide 32 by 2 you will get 16, therefore if you take the number before 16 and the number after 16 and add them together they will still equal 32. 15 + 17 = 32. The smaller number is 15.

7 0

3 years ago

A rocket is launched straight up from the ground with an initial velocity of 192 feet per second. The equation for the height of

Ivenika [448]

The equation for the height of the rocket at time t given

$h= -16t^2+192t$

We have to find the time t, when the rocket reaches 560 feet.

That means we have to find t when h = 560 ft. we will place 560 in the place of h to find t now.

$h= -16t^2+192t$

$560 = -16t^2+192t$

In the right side, we can check -16 is the common factor. So we will take out -16 from the rigbht side.

$560 = -16(t^2 - 12t)$

To get rid of -16 from the right side and move it to left side, we will divide both sides by -16.

$560/-16 = -16(t^2-12t)/-16$

$-35 = t^2 -12t$

Now we will move -35 to the righ side by adding 35 to both sides.

$-35+35 = t^2-12t+35$

$0 = t^2 -12t+35$

$t^2-12t+35 = 0$

We will factorize thee left side to find the values of t now. We need to find a pair of factors of 35 that by adding them we will get -12.

The pair of factors of 35 are -5 and -7 and by adding -5-7 we will get -12.

$t^2-12t+35 =0$

$(t-5)(t-7) =0$

So by using zero product property we will get

$t-5 =0$

$t-5+5 = 0+5$

$t=5$

Also $t-7 =0$

$t-7+7 = 0+7$

$t=7$

So we have got the rocket reaches at 560ft when t = 5 seconds and also when t = 7 seconds.

Now part b.

When the rocket completes its trajectory and hits the ground then the height or h = 0. So we will place h = 0 there in the equation.

$h= -16t^2+192t$

$0= -16t^2 + 192 t$

$0 = -16(t^2-12t)$

$-16(t^2-12t) = 0$

We will move -16 to the other side by dividing it to both sides.

$-16(t^2-12t)/-16 = 0/-16$

$t^2-12t = 0$

We will take out the common factor t from the left side. By taking out t we will get,

$t(t-12) = 0$

We will use zero product property now. By using that we will get,

$t = 0$

ans also $t-12 = 0$

$t-12+12 = 0+12$

$t = 12$

When the rocket completes its trajectory and hits the ground the time t can not be 0. When t =0, the rocket starts the trajectory.

So when the rocket completes its trajectory and hits the ground ,

then t = 12seconds.

So we have got the required answers.

6 0

3 years ago

Expand (- 3a - 5x) (- 2b - 4y).

vekshin1

Answer: −3a(−2b−4y).−5x(−2b−4y). to this

6ab+12ay+10bx+20xy

Step-by-step explanation: hope this helps :)

8 0

3 years ago

Read 2 more answers

To the nearest whole degree, what angle measure has a sine of 0.3535? SOMEBODY HELP

Bas_tet [7]

The angle is sin inverse 0.3535 which is around 21 degrees

5 0

3 years ago

Please answer I will be giving out brainliest and 27 points.​

Please answer I will be giving out brainliest and 27 points.