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Sav [38]
4 years ago
10

Please help me out :/

Mathematics
1 answer:
zaharov [31]4 years ago
3 0
Hello! I can help you!

a. The triangles are similar, because if we look closely and know a bit about parts and fractions, 24 is only 3/4 of 32, meaning that 24 is 25% smaller than 32. The side lengths are proportional and are similar in size.

b. Okay. Just by doing a bit of mental math and if you know a bit about finding a fraction of something, 3/4 of 28 is 21. We can set up an equation like this: 3x + 6 = 21. Subtract 6 from both sides to get 3x = 15. Divide each side by 3 to isolate the "x". 15/3 is 5. There. x = 5.
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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
How to find the vector of a image?<br>​
Gekata [30.6K]

Answer:

https://graphicdesign.stackexchange.com/questions/8547/how-to-find-specific-vector-images-like-this-one

7 0
3 years ago
When c= 8, what is the value of 4c 7c and 11c ?
Viefleur [7K]
This may be wrong but i would put 48, 78 and 118
3 0
4 years ago
Confoosed bab here please help ☹️
Lapatulllka [165]

Answer: it should be 565.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A bottle rocket is shot off a bridge into the stream below. The height of the rocket (in feet) above
nalin [4]

The correct model of the height of rocket above water is;

h(t) = -16t² + 96t + 112

Answer:

time to reach max height = 3 seconds

h_max = 256 ft

Time to hit the water = 7 seconds

Step-by-step explanation:

We are given height of water above rocket;

h(t) = -16t² + 96t + 112

From labeling quadratic equations, we know that from the equation given, we have;

a = -16 and b = 96 and c = 112

To find the time to reach maximum height, we will use the vertex formula which is; -b/2a

t_max = -96/(2 × -16)

t_max = 3 seconds

Thus, maximum height will be at t = 3 secs

Thus;

h_max = h(3) = -16(3)² + 96(3) + 112

h_max = -144 + 288 + 112

h_max = 256 ft

Time for it to hit the water means that height is zero.

Thus;

-16t² + 96t + 112 = 0

From online quadratic formula, we have;

t = 7 seconds

7 0
3 years ago
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