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Ainat [17]
2 years ago
9

Find the surface area of the triangular prism.

Mathematics
1 answer:
omeli [17]2 years ago
8 0

Answer:

96 ft²

Step-by-step explanation:

SA = 2bh/2 + Ph

SA = 2(4)(3)/2 + (3 + 4 + 5)(7)

SA = 12 + 84

SA = 96

Answer: 96 ft²

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Solve for x. Show your work. For each picture, please
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If two secants intersect from a point outside of the circle, then the product of the lengths of the secant and its external segment equals the product of the other secant and its external segment.

#1
5(x+5) = 6(4+6)
5x + 25 = 6 * 10
5x = 60 - 25
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#2
4(x+4) = 3(5+3)
4x + 16 = 3 * 8
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8 0
3 years ago
Jeremiah conducts a survey and finds that as the first variable in his survey increases, the
lapo4ka [179]

Answer:

Negative Association.

Step-by-step explanation:

Association between variables:

Association between variables can be classified as positive or negative.

Positive: Both move in the same direction, that is, either both increase or both decrease.

Negative: The variables move in opposite directions, one increases and the other decreases.

In this question:

As the first increases the second decreases, that is, they move in opposite directions, so it is a Negative Association.

4 0
3 years ago
Prove that in each triangle the total angles are 180 degrees
dmitriy555 [2]

This is a proof that the angles in a triangle equal 180°:

The top line (that touches the top of the triangle) is
running parallel to the base of the triangle.

So:

<span> <span>angles A are the same </span> <span>angles B are the same </span> </span>

And you can easily see that A + C + B does a complete rotation from one side of the straight line to the other, or <span>180°</span>

8 0
3 years ago
Read 2 more answers
A. imagine that you are one of the people who left the luncheon with a contagious disease and interacted with an average of 9 di
shusha [124]

1.       In line with the test each person who came into interaction with the infected person will become infected also. With this information, the calculation would be: 9 people each day for 7days would be equivalent to 9 x 7 which equals 63 people.

2.       Here were 7 other people in the experiment if patient zero is left out. If each person intermingled with 6 different people every day in 7 days then the calculation would be: 7 people infected x 6 new people = 42 infected people each day

42 new people every day x 7 days = 294 infected persons.

8 0
3 years ago
The vertex of this parabola is at (-5,-2). when the x-value is -4, the y-value is 2. what is the coefficient of the squared expr
Westkost [7]
Vertex:  (-5,-2); parabola opens up; 

General form of the equation for a vertical parabola opening up is:

y-k = a(x-h)^2; knowing that the vertex is at (-5,-2), we can write:

y+2 = a(x+5)^2.  We need to find the value of the coefficient a.

From the graph we see that y is 10 when x is approx. -1 3/4 (or -7/4).

subst. these values into y+2 = a(x+5)^2, we get:

10 + 2 = a(-7/4 + 5)^2, or 12 = a(13/4)^2, or   1 = a(169/16).

Solving for a:  a = 16/169 = 0.09, or approx 16/160, or 1/10.  Unfortunately, this is not close to any of the four answer choices.

I thought it best to try again, and fortunately my second try was correct:

10+2 = a(13/4)^2, or  (169/16)a.  Thus, 12 = a(169/16)

                                   12
Solving for a:  a = ------------- = 1.14.  The answer choice closest to this is 1.
                                169/16

Answer A is correct.



6 0
3 years ago
Read 2 more answers
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