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USPshnik [31]
2 years ago
8

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

ed in size without changing any of the angles. What is the new height of the triangle when the area is 0.7 of the original triangle's area
Mathematics
1 answer:
zlopas [31]2 years ago
6 0

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62

Finally the height of this new triangle is 3.62 cm

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An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=600 - 16t^2
gulaghasi [49]

Answer:

t as a function of height h is  t = √600 - h/16

The time to reach a height of 50 feet is 5.86 minutes

Step-by-step explanation:

Function for height is h(t) = 600 - 16t²

where t = time lapsed in seconds after an object is dropped from height of 600 feet

t  as a function of height h

replacing the function with variable h

h = 600 - 16t²

Solving for t

Subtracting 600 from both side

h - 600 = -16t²

Divide through by -16

600 - h/ 16 = t²

Take square root of both sides

√600 - h/16 = t

Therefore, t = √600 - h/16

Time to reach height 50 feet

t = √600 - h/16

substituting h = 50 in the equation

t = √600 - 50/16

t = √550/16

t= 34.375

t = 5.86 minutes

7 0
3 years ago
a washer and a dryer cost $970 combined . the washer costs $70 more than the dryer . what is the cost of the dryer ?
Reika [66]

Answer:

415

Step-by-step explanation:

970 divided by 2 = 485, 485 + 70 = 555

970 - 555 = 415, so your answer is 415

3 0
2 years ago
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Approximately how many gallons are in
Nataliya [291]

Answer:

1.8

Step-by-step explanation:

cuz

if 1L is equal to 0.26

then 7×0.26

= 1.8

hope it helps

8 0
2 years ago
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(08.03)
frozen [14]

Answer:

Domain of a geometric or arithmetic sequence is the counting numbers unless otherwise noted.

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2 years ago
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Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her b
Artist 52 [7]
For this case the distance will be given by:
 d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
 Rewriting we have:
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 Answer:
 
1) She did not find the full distance each traveled in 1.5 hours.
 
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
8 0
3 years ago
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