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marta [7]
2 years ago
14

Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent,

rounded
to the nearest foot? (Hint: A perpendicular from a vertex of an equilateral triangle to its opposite side will intersect the opposite side
at its midpoint.)

Mathematics
1 answer:
Klio2033 [76]2 years ago
5 0

Answer:

height = 5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2780 seats. The students
Over [174]

Answer:

1242 6th graders went on the trip.

Step-by-step explanation:

From the information given, you know that the theater has 2760 seats and that the students filled 45% of the seats, so to find the quantity of 6th graders that went on the trip, you have to calculate 45% of 2760:

2760*45%=1242

According to this, the answer is that 1242 6th graders went on the trip.

5 0
1 year ago
There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using d
soldier1979 [14.2K]
I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.
3 0
1 year ago
Game 1 gives you 200 points every time you score. Game 2 doubles your points every time you score (2, 4, 8, and so on). In which
nignag [31]
Its depends on how many times you score during the game 

in second game the number of points increases  as a geometric sequence
with common ratio 2

so for example if you score ten times in first game you get 2000 points


if you score 10 times in Game 2 you score   2 * (2^10) - 1  =  2046 points

so playing 10 or more games  is best with Game 2.  Any less plays favours gane 1.

6 0
2 years ago
Two quadrilaterals are congruent. One has vertices P, N, O, and M, and the other has vertices S, T, V, and U. These correspondin
Bogdan [553]

Answer: NPOM \cong VUTS and OPNM \cong TVUS will be correct.

Explanation:

Given: two quadrilaterals having verticals P, N, O,M and S,T,V,U are congruent,  where, OM is congruent or equal to TS and \angle P\cong \angle U.

in quadrilaterals NPOM and  VUTS-

since, the condition \angle P = \angle U

and, side UV=side  OM   follow for the above quadrilateral. (According to the figure)

then we can say according to the property of quadrilateral, their corresponding sides must be congruent. so they are congruent.

similarly, these two conditions also follow in the case of OPNM \cong TVUS

we can understand it by making the figures.


6 0
1 year ago
Read 2 more answers
A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
antiseptic1488 [7]

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375
 or 37.5\%

Therefore, the option D. 37.5% is correct

6 0
2 years ago
Read 2 more answers
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