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astraxan [27]
3 years ago
6

2

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

An additive inverse of a number (x) is a number which when added to x results in being 0.

The given problem is -3 - (-6)

The additive inverse of -6 is 6

-3 -(-6) = -3 + 6 = 3

Communities property: 6-3 = 3

The answer is:

Because -3+6 is an equivalent expression, the answer is 3

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Dhruv is at a car dealership. He is going to randomly select a vehicle to test drive. There are
andrew-mc [135]

Answer:

P(compact cars) = 4/25

Step-by-step explanation:

We know that there are 13 trucks, 8 vans, and 4 compact cars.

Let P denotes the probability of an event

Now we are asked to find the probability of compact cars

Number of favorable events = number of compact cars = 4

total number of outcomes = 13+8+4 = 25

hence, P(compact cars) = number of favorable events/total outcomes

                                       =4/25

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2 years ago
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3 years ago
In the isosceles triangle ABC, we have AB=AC=4. The altitude from B meets AC at H. If AH=3(HC) then determine BC.
Inga [223]

Answer:

BC=√7

Step-by-step explanation:

AC=4

AC=AH+HC

=3HC+HC

=4HC

HC=1/4AC=1/4×4=1

AH=3HC=3×1=3

BH⊥ AC

AB=AC=4

BC=\sqrt{AB^2-AH^2} =\sqrt{4^2-3^2} =\sqrt{16-9} =\sqrt{7}

5 0
3 years ago
Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

3 0
3 years ago
Please help me idk this
kupik [55]

Answer:

A. Twice the radius, d = 2r

Step-by-step explanation:

The diameter is a line that splits a circle in half, while the radius is only half of that.

4 0
3 years ago
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