I'm sure the trjangle
is acute
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
hence, measure of the third side is 6x + 1
Answer:
-10 would be your answer.
Answer:
2L + 2W = 88
L = W + 12
L = 28 feet & W = 16 feet
Step-by-step explanation:
2L + 2W = 88
[] The perimeter of a rectangle is length + length + width + width, shortned as 2(legnth) + 2(width) and since the perimeter of the garden is 88, this option works.
L = W + 12
[] The length is 12 feet longer than the width, so the width + 12 will equal the length
Solving:
{ 2L + 2W = 88
{ L = W + 12
[Plug-in] 2(W + 12) + 2W = 88
[Distribute] 2W + 24 + 2W = 88
[Combine like terms] 4W + 24 = 88
[Subtract 24 from both sides] 4W = 64
[Divide both sides by 4] W = 16
L = W + 12 -> L = (16) + 12 -> L = 28
Have a nice day!<em> - Side note, is your screen okay? lol</em>
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
a) The time taken by the rocket to reach the maximum height is 2.75 seconds.
b) The maximum height of the rocket will be 127 feet.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Given that:-
- A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second.
- The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t²+88t+6.
a) The time taken by the rocket will be calculated as:-
We have a function h(t)=−16t²+88t+6. Now by taking the derivative of the function with respect to time and equating it to zero we will get the maximum time in which the rocket will reach the maximum height.
h(t) = -16t² + 88t + 6
h'(t) = 0
-32t + 88 = 0
32t = 88
t = 88 / 32 = 2.75 seconds
So the maximum time is 2.75 seconds.
b) Maximum height will be calculated as:-
Put the value of maximum time in the function h(t) = -16t² + 88t + 6 we will get the maximum height.
h(t) = -16t² + 88t + 6
h(2.75) = -16(2.75)² + ( 88 x 2.75 ) + 6
h(2.75) = 127 feet
Therefore the time taken by the rocket to reach the maximum height is 2.75 seconds and the maximum height of the rocket will be 127 feet.
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