The rectangle shown is dilated by a scale factor of 1/5
What is the length of side A'B' and side B'D'?

Answer:

cos L = 55/73

Step-by-step explanation:

The triangle KLM is a right angle triangle. The ∠M = 90°. The side KM = 48, LK = 73, and ML = 55. The ratio that represents the cosine of ∠L can be solved below.

The right angle triangle formed has an hypotenuse , opposite and an adjacent side. Using the SOHCAHTOA principle one can find the ratio that represent the cosine of ∠L.

opposite side = 48

adjacent = 55

hypotenuse = 73

cos L = adjacent/hypotenuse

cos L = 55/73

Answer:A

Step-by-step explanation:

h=85 f=36

Since it is a right angled triangle we can apply Pythagoras principle to get g

g=√(h^2 - f^2)

g=√(85^2 - 36^2)

g=√(85x85 - 36x36)

g=√(7225 - 1296)

g=√(5929)

g=77

Answer:

The probability that all compressors are off = P(A ∩ B') = 0.18

Step-by-step explanation:

Event A is denoted to reciprocal compressor (R) that is always off.

Event B is denoted that at least one of the screw type of compressor is always on.

P(A) = Probability that the reciprocal compressor is off.

P(A') = Probability that the reciprocal compressor is on.

P(B) = Probability that at least one of the screw type of compressor is on.

P(B') = Probability that at least one of the screw type of compressor is off.

P(A ∩ B) = 45% = 0.45

P(A ∪ B) = 93% = 0.93

P(U) = P(A ∪ B) + P(A' ∩ B')

1 = 0.93 + P(A' ∩ B')

P(A' ∩ B') = 1 - 0.93 = 0.07

The probability that all compressors are off is given as P(A ∩ B')

P(A) = P(A n B') + P(A n B)

P(B) = P(A n B) + P(A' n B)

The question asks us to assume that all outcomes in event B are equally likely.

The possible outcomes in event B include

- The two compressors are on

- First compressor is on, second compressor is off

- Second compressor is on, first compressor is off

- both compressors are off

Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)

P(B) = P(A n B) + P(A' n B)

0.75 = 0.45 + P(A' n B)

P(A' n B) = 0.75 - 0.45 = 0.30

P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)

0.93 = P(A ∩ B') + 0.30 + 0.45

P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18

Hope this Helps!!!

Answer:

The final volume is 320 mL at pressure of 100 kPa.

Step-by-step explanation:

Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

[tex]V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2[/tex]

Let

[tex]V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa[/tex]

We need to find [tex]V_2[/tex]. Using above equation, we get :

[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL[/tex]

So, the final volume is 320 mL at pressure of 100 kPa.

Answer:

First find the distance per hour by dividing

432/24=18

multiply the rate with 16 hours

18 km per hour x 16 hours = 288 km in 16 hours

Step-by-step explanation:

Answer:

288km

Step-by-step explanation:

if a boat travels 432km in 24 hours .

then

it will cover x km in 16 hours

Using Direct Proportion:

[tex] \mathsf{x = \frac{432 \times 16}{24} } [/tex]

[tex] \mathsf{x = \frac{432 \times 2}{3} }[/tex]

[tex] \mathsf{ x = 144 \times 2}[/tex]

[tex] \boxed{ \mathsf{ \implies \: 288km}}[/tex]

hence the boat is gonna travel 288km in 16 hours

Answer:

y=a

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

So if you look at the point where the line is on two real numbers at the top of the grid, it shows that it cost $10 for every 5 rides. So if you find the unit rate, divide 10 by 5 to see how much each ride cost, you get that each ride cost $2. Then just divide $22 by $2 and you get 11. Hope this helps, comment if you need more help

Answer:

The answer is yes

Step-by-step explanation:

x-7 > 27

x> 27 +7

x > 34

Answer:

Yes

Step-by-step explanation:

We have the inequality:

x-7 > 27

To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.

x-7+7>27+7

x>34

So, your answer is correct

Answer:

ellipse ; 4 degrees

Step-by-step explanation:

edge’s possible answer 2020

Answer:

15 units

Step-by-step explanation:

After doing research, I found the problem. Here is the right answer:

Answer:

It's 20 :)

Step-by-step explanation:

Just took it on Edge.

Answer:

D

Step by Step Explanation:

To find the volume of a cube, you need to cube the side length. In this case, since the side length is 8, the volume is 8^3=512 cubic inches, or answer choice D. Hope this helps!

Answer:4200

Step-by-step explanation:

3655+498=4153

4153 approximated to the nearest hundred is 4200

Answer:

y = -3π/2 x + π

Step-by-step explanation:

sin(xy) = ½

The slope of the tangent line is dy/dx.  Take the derivative of both sides with respect to x.  You'll need to use chain rule and product rule.

cos(xy) (x dy/dx + y) = 0

x dy/dx + y = 0

x dy/dx = -y

dy/dx = -y/x

At x = ⅓ and y = π/2:

dy/dx = -(π/2) / ⅓

dy/dx = -3π/2

Using point-slope form of a line:

y − π/2 = -3π/2 (x − ⅓)

Simplifying to slope-intercept form:

y − π/2 = -3π/2 x + π/2

y = -3π/2 x + π

Answer: D

Step-by-step explanation: Both the Equality property and the Identity property

Answer:-32=-2 x -2 x -2 x -2 x -2

Step-by-step explanation:

-32=-2 x -2 x -2 x -2 x -2

Answer:

Step-by-step explanation:

If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.

Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.

Therefore, the answer is (-4,-1) and (-4,7)

Answer:

(-4, -1) and (-4, 7)

Step-by-step explanation:

I did the quiz

Answer:

B.)

Step-by-step explanation:

A linear equation, remember, is y = mx + b.

Identify.

A.) y = 2x + 3

B.) y = 5x^2 - 10x

C.) y = 5x - 2

D.) y = 8x

Eliminate.

Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.

Hope that helped.

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

Answer:

Answer: Option B. 16^4 is the correct answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Answer:

D.200.96 cm

Step-by-step explanation:

Given radius (R) = 8

Diameter = 2R = 16

Circumference = 2πR

= 16π

= 50.265482457437

Area = πR2

= 64π

= 201.06192982975

Answer:

The volume of the tank is [tex]452\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cylindrical water tank is 8 ft

Height of the water tank is 9 ft.

It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2h[/tex]

r is radius of cylindrical tank, r = 4 ft

Plugging all the values in above formula,

[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]

or

[tex]V=452\ \text{feet}^3[/tex]

So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].

Answer:

i can not see the picture can you describe it

Step-by-step explanation:

Answer:

C = 50.24

Step-by-step explanation:

First, you multiply 8 by 2, to get the diameter of of 16

Then all you do is, multiply by 3.14(π) and the circumference is 50.24

Hope this helps! :)

Answer: im like 90 percent sure its c

Step-by-step explanation:

Answer:

A=5

Step-by-step explanation:

5 times 5 is 25

25-2 is 23

Answer:

  Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Step-by-step explanation:

Logically, it makes no sense for Zoe to say, in effect, ...

  "All E are A, but A are never E."

That is incorrect on its face. At least, it means that "sometimes A are E."

__

The appropriate choice is the first one:

Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Answer:

Check the explanation

Step-by-step explanation:

Let [tex]\overline{x}[/tex] and [tex]\overline{y}[/tex] be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume [tex]\overline{x}[/tex] having with mean [tex]\mu_{1}[/tex] and [tex]\overline{y}[/tex] having mean [tex]\mu_{2}[/tex]

Also we have given the variance is constant

A)

We can test hypothesis as

[tex]H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}[/tex]

For this problem

Test statistic is

[tex]T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}[/tex]

Where

[tex]s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}[/tex]

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.