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Ronch [10]
3 years ago
13

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second.

Mathematics
1 answer:
solmaris [256]3 years ago
4 0
h=-16t^2+56t+1

The ball will hit the ground when h=0:
-16t^2+56t+1=0
D=b^2-4ac=56^2-4*(-16)*1=3136+64=3200
t=\frac{-b-\sqrt{D}}{2a}=\frac{-56-\sqrt{3200}}{-32}=\frac{-56-56.57}{-32}\approx 3.5
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Stanley earns $28 for every 2 hours that he works. How much money does he earn during a given amount of time?
baherus [9]

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e = 14x, where x is the number of hours he works, and e is the total earnings.

5 0
3 years ago
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Multiply: (x – 4)(x + 5)
denpristay [2]

Answer:

D.  x2 + x - 20.

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(x – 4)(x + 5).

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= x2 + 5x – 4x – 20.

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3 0
3 years ago
Suppose that LMN is isosceles with base LN suppose that M
ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

LM=MN                     (Given)

m\angle N=m\angle L=(2x+36)^\circ   (Base angles of an isosceles triangle are equal)

Now,

m\angle L+m\angle M+m\angle N=180^\circ

(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ

(7x+89)^\circ=180^\circ

(7x+89)=180

On further simplification, we get

7x=180-89

7x=91

x=\dfrac{91}{7}

x=13

The value of x is 13. Using this value, we get

m\angle L=(2(13)+36)^\circ

m\angle L=(26+36)^\circ

m\angle L=62^\circ

Similarly,

m\angle M=(3(13)+17)^\circ

m\angle M=(39+17)^\circ

m\angle M=56^\circ

And,

m\angle N=m\angle L

m\angle N=62^\circ

Therefore, the measure of angles are m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ.

5 0
3 years ago
Five less than two times a number is sixty-nine. A. 5 – 2t = 69 t = –32 B. 2t – 5 = 69 t = 37 C. 5 + 2t = 69 t = 32 D. none of t
Julli [10]

Let's translate the expression step by step:


"Five less than..." \to we will have to subtract five from something


"two times a number" \to 2t.


So, we have


"Five less than two times a number" \to 2t-5.


This "is sixty-nine", where "is" means "is equal to". So, the equation is


2t-5=69


which is option B

5 0
3 years ago
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