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fiasKO [112]
3 years ago
13

A cliff diver's height above the water, in meters, is modeled by the function h(d)=-d^2+2d+24, where d represents how far the di

ver is from the cliff. How far from the cliff will the diver be when she reaches the water
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0
H(d)=height from water
when he reaches the water, his height from water=0

so set the equation equal to zero and solve

0=-d^2+2d+24
multiply both sides by -1 for ease
0=d^2-2d-24
now find what 2 factors of -24 add up to -2
answer is -6 and 4
0=(d-6)(d+4)
set each to zero
d-6=0
d=6

d+4=0
d=-4
you cannot have negative distance  because that means he hasn't jumped yet so get rid of this number

d=6

answer is 6 meters
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The perimeter of UVW is 22 2/1. And VZ = 2 1/2. Find UW and VW.
Cerrena [4.2K]
UW and VW are the same so 9
22.5-4.5= 18 then divide the 18 by 2 so 9
4 0
3 years ago
Read 2 more answers
What is the area, in square inches, of the isosceles trapezoid below?
Komok [63]
A = 73.84

Explanation-

14.2 - 6.4 = 7.8 (to get the length of the base without the top part)

7.8 • 5.2 = 40.56 (to find the area outside of our subtracted square that has the top part)

6.4 • 5.2 = 33.28 (to find the area of the inner square)

40.56 + 33.28 = 73.84 (adding together both parts to find the total area)

A = 73.84

7 0
3 years ago
A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of
Sholpan [36]

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

5 0
4 years ago
the number 2 in the expression 5+2x is called the coefficient of x how does changing the coefficient to 6 change the meaning of
anzhelika [568]

Answer:

11

Step-by-step explanation:

5plus 2x when x is something 2x is equaling to 6 where as the value of x would be 3...

8 0
3 years ago
Line AC and line DB intersect at point P. Solve for angle BPQ.
taurus [48]

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

8 0
2 years ago
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