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Margaret [11]
3 years ago
14

Anchara drops a penny from a height of 60 feet above the ground. The equation h=-16t^2 + 60 models the penbys height h i feet as

a function of time t in seconds whatvare the solutions
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

t = 1.94 seconds

Step-by-step explanation:

we have to solve the following polynomial equation:

-16t² + 60 = 0

16t² = 60

t² = 60/16 = 3.75

t = √3.75 = 1.936491673 seconds

the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option

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A town is designing a rectangular park that will be 600 feet by 1000 feet. A rectangular area of the park for swing sets will be
drek231 [11]
Scale factor = 0.5 / 25 = 0.02 inches per foot

on scale drawing of the park the dimensuons will be 600 * 0.02 by 1000*0.02
= 12 inches by 20 inches
8 0
3 years ago
Read 2 more answers
Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.
Bezzdna [24]

Answer:

The perimeter of the quarter-circle is 200 cm.

Step-by-step explanation:

Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

arc =  \frac{θ}{360}  \times 2 \: \pi \: r

Let r be radius = 56 cm,

Let θ = 90°

arc =  \frac{90}{360}  \times 2 \times\pi \times 56

=  \frac{1}{4}  \times 2 \times \pi \times 56

=  \frac{1}{2}  \times \pi \times 56

= 28\pi \: cm

We have already found the arc. Next we have to add up together to find the perimeter :

p = 56 + 56 + 28\pi

p = 112 + 28\pi

p = 200 \: cm \: (3s.f)

6 0
3 years ago
Read 2 more answers
Trent writes p^2 + 30 = (p + 30)(p + 0)<br><br> Do you agree with Trent? Explain why
Bingel [31]

Answer:

Statement expressed by Trent is RIGHT.

(p^2 + 30) = (p+30)(p +0)

Step-by-step explanation:

Here, the given expression is:

( to show)   :  (p^2 + 30) = (p+30)(p +0)

Now, as we know by DISTRIBUTIVE PROPERTY:

A (B + C)  = AB  + AC

Consider the RHS of the expression:

(p +30)(p+0)  =  (p +30)(p)   ............  ( a + 0 = a for all a)

Simplifying (p +30)(p) by distributive property, we get:

(p +30)(p)   = p(p) + 30(p) \\= p^2 + 30p\\\implies (p+30)(p+0)  =  p^2 + 30p

⇒ Left side  = Right side

Hence,  statement expressed by Trent is RIGHT.

8 0
3 years ago
9x+2y and 11xy equivalent
inysia [295]
Yes because 11 is x and y together and the others are 11xy too
7 0
3 years ago
Last year, the world produced 3.5 billon tons of cement and that amount could increase by a billion tons by year 2050. Express t
Svetradugi [14.3K]

Answer:

4.5 \times 10^{9} tons.

300 times.

Step-by-step explanation:

Last year, the world produced 3.5 billion tons of cement and that amount could increase by a billion tons by the year 2050.

So, the net production of cement by the year 2050 will be (3.5 + 1) = 4.5 billion tons i.e. 4.5 \times 10^{9} tons. (Answer)

Now, this amount is larger than 1.5 \times 10^{7} by \frac{4.5 \times 10^{9} }{1.5 \times 10^{7}} = 300 times. (Answer)

5 0
3 years ago
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