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borishaifa [10]
3 years ago
5

The students plan to eat lunch at a park. Each table can only seat 6 students.

Mathematics
2 answers:
AVprozaik [17]3 years ago
6 0
8.

48/6 = 8. hope this helps :)
Flura [38]3 years ago
5 0

Answer: 8 tables are needed

Step-by-step explanation:

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From a window 20 feet above the ground, the angle of elevation to the top of a building across
Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation:  Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across  the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

and from the right-angled triangle WAB, we have'

\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0
3 years ago
A water truck is filling a swimming pool. The equation that represents this
Luda [366]

Answer:

  a. false

  b. true

  c. true

  d. true

  e. false

Step-by-step explanation:

a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.

__

b. True. A graph of a proportional relationship is a straight line through the origin.

__

c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.

__

d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.

__

e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.

8 0
3 years ago
Find the inverse of f(x)=x/4-7
kirill [66]

Answer:

fx^{-1} (x)=4x+28

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your
NikAS [45]

Answer:

Talib is correct i think

Step-by-step explanation:

6 0
2 years ago
The perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length
Fudgin [204]

Let's call the width of our rectangle w and the length l. We can say l = w + 4, since the length is equal to 4 cm greater than the width.


Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or P = 2l + 2w. To solve this problem, we can substitute in the information we know, as shown below:

150 = 2(w + 4) + 2w

150 = 4w + 8

142 = 4w

w = \frac{71}{2}


Now, we can substitute in the width we found into the formula for length, which is l = w + 4:

l = \frac{71}{2} + 4

l = \frac{79}{2}


The width of our rectangle is \boxed{\frac{71}{2} \,\, \textrm{cm}} cm and the length of our rectangle is \boxed{\frac{79}{2} \,\, \textrm{cm}}

8 0
3 years ago
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