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2 years ago

15

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

2 answers:

dalvyx [7]2 years ago

4 0

2=1/6 2/12=1/6. 10/12=5/6

klasskru [66]2 years ago

3 0

The P(!2)=1-P(2)=1-1/6=5/6

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How do you know the opposite of a nonzero integer?

Oksi-84 [34.3K]

The opposite of a nonzero integer is the inverse of it. So to get the opposite, change the sign.

For example:

What's the opposite of 3?

-3.

I hope that I explained well :)

3 0

2 years ago

Read 2 more answers

Which shows the graph of the solution set of 2x + y < 4?

insens350 [35]

Answer:

my answer is in the graph. hope i am right!

Step-by-step explanation:

6 0

2 years ago

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

2. An articulated truck is loaded with cylindrical containers filled with oil. The height of each container is 80cm and the diam

RoseWind [281]

The volume of each container is: 25,133 $cm^{3}$

Given:

height of container (h) = 80 cm

diameter of container (d) = 20 cm

radius = half of diameter = $\frac{1}{2}$ of $20 = 10 cm$

Recall:

Volume of a cylinder = $\pi r^{2} h$

<em>Substitute the values into the formula:</em>

$Volume = \pi \times 10^{2} \times 80 = 25132.74123$

Therefore, volume of each cylinder is approximately 25,133 $cm^{3}$

Learn more about volume of cylinder here:

brainly.com/question/971817

8 0

2 years ago

Cube 1 has a volume of 64 cubic inches and Cube 2 has a volume of 512 cubic inches. If the ratio of the surface area of Cube 1 a

Inga [223]

Answer:

4 and 8

Step-by-step explanation:

You don't need the surface area to find the edge length of a cube. Length of edge = ∛volume

Cube 1:

Length of each edge = ∛64 = 4 in.

Area of each face = 4² = 16 in².

Surface area = 6×16 = 96 in².

Cube 2:

Length of each edge = ∛512 = 8 in

Area of each face = 8² = 64 in²

Surface area = 6×64 = 384 in²

So the surface area is in the ratio 1:4

4 0

2 years ago