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Veronika [31]
3 years ago
11

An cute triangle has two sides measuring 8cm & 10 cm

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
Option 3 is the correct one
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An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can
serg [7]

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0         ......[1]

the solution for the equation is given by:

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

On comparing the given equation with [1] we have;  

a = -16 ,b = 80 and c = 300

then;

t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}

t= \frac{-80\pm \sqrt{6400+19200}}{-32}

t= \frac{-80\pm \sqrt{25600}}{-32}  

Simplify:

t = -\frac{5}{2} = -2.5 sec and t = \frac{15}{2} = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

8 0
3 years ago
Mike is a car salesman. He earns $200 for every car he sells plus a 3% commission. If Mike sells 3 cars in one week for a total
Serhud [2]

<span>For every car Mike earns------------------ >$200 plus 3% commission</span>

 3 cars----------------- > $200*3+$32,343*0.03=600+970.29=$1570.29

 Total earnings for a week is $1570.29

6 0
3 years ago
Read 2 more answers
If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n=__?
Olin [163]
If the image is congruent to the pre-image, then the scale factor must be 1.
4 0
3 years ago
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H (x) =4x-2 complete the function table
Helen [10]

<em>Note: </em>

<em>You did not mention the table of the points. But, I would try to clear your concept by taking 6 sample points.</em>

Answer:

The table and the graph of the function h(x) = 4x-2 is also attached below.

Step-by-step explanation:

Given the function

h(x) = 4x-2

substituting x = 0 in the function

h(0) = 4(0) -2 = 0 -2 = -2

Therefore, the point (0, -2) satisfies on the function.

substituting y = 1 in the function

h(1) = 4(1) -2 = 4 -2 = 2

Therefore, the point (1, 2) satisfies on the function.

substituting y = 2 in the function

h(2) = 4(2) -2 = 8 -2 = 6

Therefore, the point (2, 6) satisfies on the function.

substituting y = 3 in the function

h(3) = 4(3) -2 = 12 -2 = 10

Therefore, the point (3, 10) satisfies on the function.

substituting y = 4 in the function

h(4) = 4(4) -2 = 16 -2 = 14

Therefore, the point (4, 14) satisfies on the function.

substituting y = 5 in the function

h(5) = 4(5) -2 = 20 -2 = 18

Therefore, the point (5, 18) satisfies on the function.

Therefore, we conclude that table:

x                  h(x) = 4x-2

0                  -2

1                    2

2                   6

3                   10

4                   14

5                   18

The graph of the function h(x) = 4x-2 is also attached below.

5 0
3 years ago
What is the gcf and lcm
My name is Ann [436]
GCF is Greatest Common Factor and LCM is Least Common Multiple

3 0
3 years ago
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