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erik [133]
3 years ago
13

What type of triangle would have its orthocenter on the triangle?

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
That would be  an acute angled or right angled triangle
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The dimensions of a pet carrier is 20 inches
Sergeu [11.5K]

Answer:

2702.5 inches cubed

Step-by-step explanation:

20 x 11\frac{3}{4} x 11\frac{1}{2} = 2702.5

3 0
2 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
Need help with the two questions please:)
____ [38]
The decimal form is x=1.2 and the mixed number is x= 1 1/5
4 0
3 years ago
Read 2 more answers
What is the 3-step Process to find the square root of non-perfect numbers?
mash [69]
<span>Step–1:Find a perfect square root as close to your number.

</span><span>Step–2: Divide your number by the square root.

</span><span>Step–3: Calculate the average of the result given in step 2 and the root. 

Step-4: Simplify if needed. </span>
7 0
4 years ago
He length of a rectangle is 1 inch less than twice it's width. If the width is w inches,which expression gives the length?
Gnesinka [82]
L= 2w-1 Is your answer
6 0
3 years ago
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