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puteri [66]
3 years ago
6

Mike has 8 feet of rope . How many inches of rope does he have.

Mathematics
2 answers:
USPshnik [31]3 years ago
6 0

Answer:96 inches of rope

8 feet x 12 inches

=96 inches

Step-by-step explanation:

Ostrovityanka [42]3 years ago
4 0
96 in. of rope.
8x12=96
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A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
3 years ago
A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r
antoniya [11.8K]
The function is h(t) = -16t^2 + 80t + 224, and according to the description of the function in the problem statement, we have the following:

at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:

h(0) = -16(0)^2 + 80(0) + 224=0+0+224=224 (ft), which is the initial height, as expected.


At t=1 (sec), the height would be  h(1) = -16(1)^2 + 80(1) + 224=-16+80+224=288. 

etc.


The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.

This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.


Answer: B) 7 sec



6 0
3 years ago
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If 4 dice are rolled, what is the number of ways in which at least 1 die shows 3?
UkoKoshka [18]

I think the number of ways is 671?

4 0
3 years ago
In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.
Irina-Kira [14]
Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

c^{2} = a^{2} + b^{2} - 2abcosC

Rearranging this equation, we can find the value ∠C as shown below.

\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}
C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})

We can apply the same reasoning for finding the value of ∠B as shown.

B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})
C \approx 37.19

B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})
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Answer: ∠C = 37.19° and ∠B = 53.13°

7 0
3 years ago
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Find the price of each product after a discount is applied. A game system costs 199.75 with a discount rate of 18%.
Vika [28.1K]
So if 199.75 is the cost after a 18% discount

The original price is 100%
Then the price after a 18% discount is
Tell me as a percentage
8 0
2 years ago
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