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2 years ago

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Mathematics

1 answer:

Ksju [112]2 years ago

8 0

Answer:

After the reflection:

U: (5,2)

V: (3,1)

W: (3,-3)

Z: (5,-6)

Step-by-step explanation:

To reflect over the x axis, you need to move the point left or right across the x axis (in this case, right) an equal amount of times. Ex: -5, you would move 10 to the right, or 5 to get to 0, then another 5 to equal it out

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Evaluate each expression if r= −3, s=4, and t= −7.

saul85 [17]

Answer:

a. $5$

b. $-1$

c. $132$

Step-by-step explanation:

Given:

$r =-3$ , $s = 4$ and $r = -7$

$\sqrt{s} +|r| \\ \sqrt{4} +|-3| \\ 2 +3 \\ 5$

$\frac{s -r}{t} \\ \frac{4 -(-3)}{-7} \\ \frac{4 +3}{-7} \\ \frac{7}{-7} \\ -1$

$2s^3 +r -t \\ 2(4)^3 +(-3) -(-7) \\ 2(64) -3 +7 \\ 128 -3 +7 \\ 132$

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3 years ago

Three shooters shoot at the same target, each of them shoots just once.The first one hits the target with a probability of 50%,

nekit [7.7K]

Answer:

Let X be the number of times the target is hit. The probability P(X≥1) then equals 1 minus the probability of missing the target three times:

P(X≥1) = 1− (1−P(A)) (1−P(B)) (1−P(C))

= 1−0.4*0.3*0.2

= 0.976

To find the probability P(X≥2) of hitting the target at least twice, you can consider two cases: either two people hit the target and one does not, or all people hit the target. We find:

P(X≥2)=(0.4*0.7*0.8)+(0.6*0.3*0.8)+(0.6*0.7*0.2)+(0.6*0.7*0.8) = 0.788

Step-by-step explanation:

5 0

3 years ago

Complete the identity, sin(a+b)/cosacosb=

8090 [49]

Answer:

tana + tanb

Step-by-step explanation:

Using the trigonometric identities

• sin(a + b) = sinacosb + cosasinb

• tanx = $\frac{sinx}{cosx}$ , then

$\frac{sin(a+b)}{cosacosb}$

= $\frac{sinacosb+cosasinb}{cosacosb}$

= $\frac{sinacosb}{cosacosb}$ + $\frac{cosasinb}{cosacosb}$

= $\frac{sina}{cosa}$ + $\frac{sinb}{cosb}$

= tana + tanb

5 0

3 years ago

A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a

RUDIKE [14]

Answer:

A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a scale factor of k to obtain a solid with surface area 24 square meters. Find the value of k which leads to an image with the given surface area. Find the volume of the dilated solid.

6 0

2 years ago

A rock is thrown into a still pond. The circular ripple move outward from the point of impact of the rock so that the area of th

4vir4ik [10]

Answer:

$\approx 31.42 \text{ Square feet per minute}$

Step-by-step explanation:

Area of the Pond A= $\pi r^2$

The increase in the area of the pond as it moves outward is: $\frac{dA}{dt}$

$\frac{dA}{dt}=\frac{d}{dt}\pi r^2\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}$

Since the area of the circle formed increases at the rate of 100 square feet per minute.

$\frac{dA}{dt}$ = 100 Square feet per minute

When the radius, r = 5 feet, we want to determine the rate at which the radius is changing, $\frac{dr}{dt}$ .

$\frac{dA}{dt}= 2\pi r \frac{dr}{dt}\\100=2*5*\pi \frac{dr}{dt}\\\frac{dr}{dt} =\frac{100}{10 \pi} =10 \pi \approx 31.42 \text{ Square feet per minute}$

5 0

4 years ago