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Vesnalui [34]
3 years ago
13

Elana goes for a long walk this graph shows her time and distance traveled throughout the walk

Mathematics
1 answer:
belka [17]3 years ago
4 0

Answer: 4 Mph.

Step-by-step explanation: ...

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What solution do 2x2 - 13x + 21 = 0 and 2x2 + 9x - 56 = 0 have in common? Round your answer to the nearest tenth if necessary.
lys-0071 [83]
So if we want to know the common solution(s) to a system of 2 equations, So we can just set both equations equal to each other and solve for the x value(s). That’s where I start below;

2x^2-13x+21 = 2x^2+9x-56
2x^2 cancels out and moving everything to one side and anything with an x variable to the other side we have then;
-22x=-77
22x=77 by cancelling the negative signs
x=77/22 therefore x=7/2 or 3.5

Hope this helps you. Any questions please ask.
4 0
3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is
Dmitry_Shevchenko [17]
Fidn volume
V=hpir^2
d/2=r
1.4/2=0.7=r
height=3.5
V=3.5*3.14*0.7^2
V=5.3851

1.5 times t=5.3851
divide both sides by 1.5
t=3.59
round
t=4

4 minutes
6 0
3 years ago
The work shows how to use long division to find?
KIM [24]

Answer:

remainder = \frac{1}{x-2}

Step-by-step explanation:

The remainder is the value of the subtraction of the last 2 lines in the procedure.

  5x - 9

- (5x - 10)

That is

5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1

over the divisor x- 2 , gives

remainder = \frac{1}{x-2}

6 0
3 years ago
Mr.Hall stands 200 meters from the base of the water tower. He finds the angle of elevation to the top of the water to be 27 deg
love history [14]

Height of the tower = 101.9 m

Solution:

Given data:

Angle θ = 27°

Adjacent side = 200 m

Opposite side = Height

Let height be taken as h.

The given image shows it is a right triangle.

Using basic trigonometric ratio formulas,

$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}

$\tan27^\circ =\frac{{ h}}{200}

The value of tan 27° = 0.5095

$0.5095 =\frac{{ h}}{200}

Do cross multiplication, we get

0.5095 × 200 = h

101.9 = h

Height of the tower = 101.9 m

8 0
4 years ago
Simplify (4x-6)-(3x+6)
DaniilM [7]

Answer:

x-12

Step-by-step explanation:

First open the brackets

=(4x-6)-(3x+6)\\\\\\=4x-6-3x-6

Then collect the like terms

4x-3x-6-6

Solve the like terms

4x-3x=x\\\\\\-6-6=-12\\\\\\=x-12

The simplified form is

x-12

3 0
3 years ago
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