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2 years ago

We learned that multiplying by i produces a 90° counterclockwise rotation about the origin. What do we ned to

Mathematics

1 answer:

Bingel [31]2 years ago

6 0

Answer:

For producing 90° rotation clockwise abut origin we have to multiply with -i

Step-by-step explanation:

We know that when we multiply with i in an number then it will give 90° counterclockwise rotation

We have to find the quantity after which it will produce 90° clockwise rotation

Generally we take counterclockwise as positive angle and clockwise as negative angle

So basically we have to produce -90° angle

For producing 90° rotation clockwise abut origin we have to multiply with -i

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An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t

ratelena [41]

Answer with Step-by-step explanation:

We are given that height of projectile after t seconds is given by

$h(t)=96t-16t^2$

a.h(t)=144 ft

$144=96t-16t^2$

$16t^2-96t+144=0$

$t^2-6t+9=0$

$t^2-3t-3t+9=0$

$t(t-3)-3(t-3)=0$

$(t-3)(t-3)=0$

t-3=0

t=3

After 3 s, the height of the project will be 144 feet in the air.

b.h(t)=0

$96t-16t^2=0$

$16t(6-t)=0$

$16t=0\implies t=0$

$6-t=0\implies t=6$

At t=0, the initial position of projectile

At t=6 s , the projectile will hit the ground.

6 0

2 years ago

Eli is following this recipe to bake bread rolls. He uses 600ml of water. How much of the others ingredients does he use? 600g f

RoseWind [281]

Answer:

720 grams of flour.

10.8 grams of salt.

14.4 grams of yeast

36 ml of oil.

Step-by-step explanation:

The recipe is:

600g flour

9g salt

12g yeast

30ml oil

500ml water

Now we use 600ml of water.

We can take the quotient between the amount of water we use and the amount of water in the recipe, this is:

600ml/500ml = 1.2

Then the ratio between the quantities we need to use and the quantities un the recipe should be always 1.2

Or the quantities that Eli needs to use will be 1.2 times the ones shown in the recipe.

Then she needs to use:

1.2*600g flour = 720 grams of flour.

1.2*9g salt = 10.8 grams of salt.

1.2*12g yeast = 14.4 grams of yeast

1.2*30ml oil = 36 ml of oil.

7 0

2 years ago

5. Heathcliff found a road map showing the driving route to a resort that he knows Gertrude enjoys. The map shows a roadway, sta

tigry1 [53]

$\sqrt{ (8+7)^{2} +(5+3)^{2} } =17$ .
the answer is 17 miles

8 0

2 years ago

Read 2 more answers

What is the sum of -19 and the product of 48 ?

lord [1]

-16 and -3

I just used 24 and 2, adding &/or subtracting to opposite sides until I got 16*3=48, whether they be positive or negative.

Add -16 and -3 together and you get -19.

Hope this helps you! :)

8 0

2 years ago

Translate this phrase into an algebraic expression.<br> the quotient of 14 and a number

Anna71 [15]

Answer:

Step-by-step explanation:

Let the number be x

14 ÷ x = $\frac{14}{x}$

4 0

2 years ago

Read 2 more answers