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leva [86]
3 years ago
15

An equilateral triangle has an altitude length of 27 feet. Determine the length of a side of the triangle

Mathematics
1 answer:
lesya692 [45]3 years ago
7 0
See image attached.

Getting this answer involved finding and using 30-60-90 triangles within the equilateral triangle. We find that a side of the triangle = 18√3 feet

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Melvin and Frank caught a lizard in their backyard. Its body is 178 long, and its tail
damaskus [11]

Answer:

286 cm.

Step-by-step explanation:

You add up the two sections, since it is implied that there are no intersection between the two lengths.

178 + 108 = 286 cm.

3 0
3 years ago
A pumpkin is launched directly upwards at 72 feet per second from a platform 12 feet high. The pumpkin's height, h, at time t se
Illusion [34]

Answer:

93 feet

Step-by-step explanation:

Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:

dh(t)/dt = v(t) = -32t + 72

The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:

0 = -32t + 72

32t = 72

t = 72/32 = 2.25 seconds

Therefore, the maximum height of the pumpkin is:

h(2.25) = -16(2.25)^2 + 72(2.25) + 12

h(2.25) = -81 + 162 + 12

h = 93 feet

4 0
3 years ago
(English to algebra) twice K results in three times the sum of k plus one
babymother [125]

i believe its 2k= 3(k+1)

8 0
3 years ago
Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school
Ratling [72]

Answer:

1.1  R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars  for  R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

= R5.83 * 12

=R70.01

Total selling price = R10 * 12

=R120

Margin = R70.01 / R120

= 58.34%

4 0
3 years ago
An astronaut visited mars. his weight on earth was 180 pounds, and his weight on mars was only 72 pounds. he removed a rock with
Anton [14]
The question given above may be answered through the concept of ratio and proportion. The ratio of the man's weight on Earth and Mars should be equal to the ratio of the rock's weight on Earth and Mars. By letting x be the rock's mas on Earth, the equation that would best represent the situation is,
                          180 / 72 = x / 16
The value of x is equal to 40. Thus, the rock weighs 40 pounds on Earth. 
3 0
2 years ago
Read 2 more answers
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