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Varvara68 [4.7K]
4 years ago
5

The light from the lamp casts a shadow of a man standing 15ft away from the lamppost, the shadow is 5ft long. The angle of eleva

tion from the tip of the shadow to the lamp is 50degrees. To the nearest foot, the lamppost is how tall?

Mathematics
1 answer:
Kipish [7]4 years ago
6 0
Check the picture below

make sure your calculator is in Degree mode.

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Multiply -1/2 c(4c -2) Please ASAP
nalin [4]

Answer:

-2c^2 + c

Step-by-step explanation:

5 0
3 years ago
Suppose the average of 15 consectutive numbers is 15. What is the average of the first five numbers of the set?
Marina86 [1]
15x15= 225

15x + 105= 225

15x= 225-105

15x= 120

X=8

X+ (x+1) + (x+2) + (x+3)…etc all the way up too +(x+14)=225

The first five numbers of the set: 8, 9, 10, 11, 12
7 0
1 year ago
Sara jumps off a diving board that is 6 feet above the surface of the water her height above the surface of the water h in feet
Flauer [41]
Well when she hits the water h=0 so

2t^2-t-6=0  factor

2t^2-4t+3t-6=0

2t(t-2)+3(t-2)=0

(2t+3)(t-2)=0, since t>0

t=2 seconds...

However it should be noted that h(t)=-2t^2+t+6 implies that

v(t)=dh/dt=-4t+1 and

a(t)=dv/dt=-4

Since this is a free fall equation, this would suggest that the acceleration due to gravity is -4, whether that is supposed to be -4ft/s^2 or -4m/s^2, it certainly is not on this planet! :D  If it is -4ft/s^2 it could be on the Moon or if it is -4m/s^2 it could be on Mars.
7 0
3 years ago
Wilma and Fred rode their bikes toward each other from points on a straight road 32 miles apart. If Fred rode 3 miles per hour f
Firdavs [7]

Answer:

wilma is 22.5 mph

fred is 25.5 mph

Step-by-step explanation:

Time:40 minutes, or 2/3 hours

Speed:

Fred:x+3

Wilma: x

Distance:32 miles

2/3(x+x+3)=32

2/3(2x+3)=32

1 1/3x+2=32

4/3x=30

x=22.5

wilma is 22.5 mph

fred is 22.5+3= 25.5 mph

6 0
3 years ago
How do I find the reciprocal of the fractions 2/3 and 8/3
Doss [256]

To find the reciprocal of a number, just flip the numerator and the denominator around.

A. The reciprocal of 2/3 is 3/2.

C. Firstly, convert the mixed fraction into an improper fraction. Multiply the whole number by the denominator and add the numerator to that product. After that, put the quantity on the numerator. In this case, 6 x 6 = 36 and 36 + 1 = 37, so our improper fraction is 37/6. Next, just flip the numerator and denominator around, and your reciprocal is 6/37.

4 0
3 years ago
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