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Bingel [31]
2 years ago
10

A ball is thrown from ground level straight up into the air at an intitial velocity of 54 feet per second. The height of the bal

l t seconds after it is thrown is given by the formula h(t)=54t-16’2. How many seconds after the ball is thrown will it return to the ground
Mathematics
1 answer:
bonufazy [111]2 years ago
3 0

Answer:

3 3/8 seconds.

Step-by-step explanation:

When it reaches the ground h = 0 so:

54t - 16t^2 = 0

16t^2 - 54t = 0

2t(8t - 27) = 0

t = 0 or t =  27/8   (we ignore the t = 0 ) so:

t =   3 3/8 seconds.

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A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Inga [223]

Answer:

The mom is 5 feet 3 inches

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

m = 1 3/4 * 3

<u>Step 2:  Solve</u>

m = (4/4+3/4) * 3

m = 7/4 * 3

m = 21/4

m = 5.25

<em>m = 5 feet 3 inches</em>

<em />

Answer:  The mom is 5 feet 3 inches

7 0
3 years ago
Read 2 more answers
Suppose you invest $1,600 at an annual interest rate of 4.6% compounded continuously how much will you have in the account after
DanielleElmas [232]
Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 * <span> <span> <span> 1.2020158231 </span> </span> </span>
Total = <span> <span> <span> 1,923.23</span></span> </span>

Source:
http://www.1728.org/rate2.htm





8 0
3 years ago
Solve.
baherus [9]
The correct answer is:  [C]:  " 5 " .
__________________________________________________________
                                →  " a = 5 " .
__________________________________________________________
Explanation:
__________________________________________________________ 

Given:  " a + 1 <span>− 2 = 4 " ; Solve for "a" ; 

4 + 2 = 6 ; 

6 </span>− 1 = 5 ;   →  a = 5 ;

To check our work:

5 + 1 − 2 = ? 4 ?? ;  

5 + 1 = 6 ; 

6 − 2 = 4.  Yes!

So the answer is:  [C]:  " 5 ". 
_________________________________________________________
                          →   " a = 5 " . 
_________________________________________________________
4 0
3 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
7 0
3 years ago
Which of the following quadrilaterals have diagonals that are perpendicular to each other? Check all that apply.
mars1129 [50]

Answer: Option B and option D.

Step-by-step explanation:

We know that a quadrilateral is a 2-dimensional closed shape that has four sides.

By definition the diagonals of a quadrilateral are the lines that connect two non-adjacent vertices.

The following quadrilaterals have diagonals that are perpendicular to each other (also known as perpendicular bisector diagonals), which means that they form four angles of 90 degrees (right angles): <em>Rhombus and Square.</em>

Therefore the answers are: the option B and the option D.

4 0
3 years ago
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