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monitta
3 years ago
14

A triangle has a base of 6 yards and a height of 9 yards. By how much does the height need to decrease for the area to decrease

by 10.5 square yards?
Mathematics
1 answer:
ELEN [110]3 years ago
3 0
3.5 yards


Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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A ball is dropped from a height of 14 ft. The elasticity of the ball is such that it always bounces up one-third the distance it
Korvikt [17]

Answer:

Hello,

742/27 (ft)

Step-by-step explanation:

h_1=14\\\\h_2=\dfrac{14}{3} \\\\h_3=\dfrac{14}{9} \\\\h_4=\dfrac{14}{27} \\\\

d=14+2*\dfrac{14}{3} +2*\dfrac{14}{9} +2*\dfrac{14}{27} \\=14*(1+\dfrac{1}{3}+\dfrac{2}{9} +\dfrac{2}{27} )\\=14*\dfrac{53}{27} \\=\dfrac{742}{27} \\

5 0
3 years ago
A 26-foot ladder is placed against a house and reaches the 24-foot roof. What is the distance between the base of the ladder and
hammer [34]

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

3 0
3 years ago
3/7 of which is 2 1/14
GarryVolchara [31]

Step-by-step explanation:

the answer is 14

3/7 • 2 1/14

=14

5 0
3 years ago
A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t is measured in seconds.
pantera1 [17]

Answer:

  3.189 seconds

Step-by-step explanation:

You want f(t) = 0, so ...

  0 = -16t^2 +13.4t +120

  0 = t^2 -0.8375t -7.5 . . . . divide by -16

  0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*

  0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square

  √7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root

  t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875

It will take the rock about 3.189 seconds to hit the ground.

_____

* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...

  (t^2 -2at +a^2) = (t -a)^2

Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.

_____

<em>Comment on the question</em>

We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...

8 0
3 years ago
Page
Sonja [21]

Answer:

8,333 total population

Step-by-step explanation:

Question can be restated as "5000 is 60% of what number?"

5000 = .6x

x = 5000/0.6

x = 8,333.33

6 0
3 years ago
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