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photoshop1234 [79]

3 years ago

13

a triangle abc with vertices a (6,8) b(6,12) and c (10,12) is rotated 180 degrees. what are the coordinates of a

1 answer:

andrew11 [14]3 years ago

8 0

It is (3,4), the coordinates is (3,4)

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If 4 friends have 8 apples how many will each friend get

Natalka [10]

2 because 8 divided by 4 is 2.

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2 years ago

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Which choices are equivalent to the expression below?<br> Check all that apply.

gavmur [86]

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5 0

3 years ago

(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0

Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

$P(A)+P(B)+P(A\cap B)=P(A\cup B)$

We know that

Maximum value of $P(A\cup B)$ =1 and minimum value of $P(A\cup B)$ =0

$0\leq P(A\cup B )\leq 1$

$0\leq P(A)+P(B)-P(A\cap B)\leq 1$

$0\leq 0.4+0.7-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)$

$P(A\cap B)\leq 1.1$

It is not possible that $P(A\cap B)$ is equal to 1.1

$1.1-P(A\cap B)\leq 1$

$-P(A\cap B)\leq 1-1.1=-0.1$

Multiply by (-1) on both sides

$P(A\cap B)\geq 0.1$

Again, $P(A\cup B)\geq P(B)$

$0.4+0.7-P(A\cap B)\geq 0.7$

$1.1-P(A\cap B)\geq 0.7$

$-P(A\cap B)\geq -1.1+0.7=-0.4$

Multiply by (-1) on both sides

$P(A\cap B)\leq 0.4$

Hence, $0.1\leq P(A\cap B)\leq 0.4$

3 0

3 years ago

Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents.

Brilliant_brown [7]

9514 1404 393

Answer:

85°
60°

Step-by-step explanation:

1. Angle JKL is half the measure of the intercepted arc JK.

(1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°

angle JKL is 85°

__

2. The angle between tangents is the supplement of the intercepted arc.

angle JKL = 180° -(360° -240°)

angle JKL = 60°

8 0

3 years ago

The cone and the cylinder below have equal surface area. True or false.

WARRIOR [948]

Answer:

False

Step-by-step explanation:

The surface area of the cone is

$V=\pi r^2 +\pi rl$

$SA=\pi r^2 +\pi\times r\times 2r$

$SA=\pi r^2 +2\pi\times r^2$

$SA=3\pi r^2$

The surface area of the cylinder is:

$SA=2\pi r^2 +2\pi rh$

$SA=2\pi r^2 +2\pi\times r\times r$

$SA=4\pi r^2$

3 0

3 years ago