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Paha777 [63]
2 years ago
8

A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5

Mathematics
1 answer:
Yakvenalex [24]2 years ago
5 0

Answer:

80 ft

Step-by-step explanation:

Let the height of the light house be x feet.

\therefore \:  \frac{128}{8}  =  \frac{x}{5}  \\  \\ x =  \frac{128 \times 5}{8}  \\  \\ x =  \frac{640}{8}  \\  \\ x = 80 \: feet

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The quarterback of a football team releases a pass at a height of 6 feet above the playing field, and the football is caught by
motikmotik

Answer:

t = 25.1seconds

Step-by-step explanation:

X(t)= 16cos75°t

Y(t)= 6 + (Vosin75°t - 16t^2)

Converting 78 yards to feet :

1 yard = 3 feet

78feet =?

78×3=234 feet

Y(t)= number of feet above the ground at t seconds

VoCos75° t = 234

t = 234/(VoCos75°)

At this time,4 = y(234/VoCos75°)

4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2

Vo= 140.66ft/s

Time,t= 234/(140.66× Cos75°)

t = 25.087seconds

t= 25.1 seconds (1 decimal place)

8 0
2 years ago
PLEASE HELP ME WITH THIS​
galina1969 [7]

Answer:

i do think it's D or C

Step-by-step explanation:

D or C

6 0
2 years ago
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SOVA2 [1]

same.

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8 0
2 years ago
Read 2 more answers
You might need:
Nastasia [14]

Answer:

11 + x

Step-by-step explanation:

A = LW

W = \frac{A}{L}

Plug in given information:

W = \frac{121-x^{2} }{11-x}

Factor the numerator:

W = \frac{(11+x)(11-x)}{(11-x)}

Cancel (11 - x):

W = 11 + x

5 0
3 years ago
The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to
allochka39001 [22]
The sides of a right triangle can always be expressed as:

h^2=x^2+y^2, where h is the length of the hypotenuse and x and y are the side lengths.

If we are to assume that "a" is a side length then 17 or "c" must be the hypotenuse so:

17^2=11^2+a^2

a^2=289-121

a^2=168

a=√168

a≈12.96  (to nearest hundredth)

Note we knew this assumption because of the answer choices, but technically, "a" COULD have been the hypotenuse without this implicit suggestion making:

a^2=17^2+11^2

a^2=410

a=√410

a≈20.25 (to the nearest hundredth)

Of course the above is not relevant to this particular question but be aware that you won't always be given answer choices to make the assumption of which side is the hypotenuse...


3 0
2 years ago
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