The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.

Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Mark this and return

Answer:

[B] 16 dollars and 16 cents

Step-by-step explanation:

Given:

Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?

A:1.62 cents

B:16 dollars and 16 cents

C:73.59 dollars

D:109.51 dollars

Solve:

$89.75 × 18% = 16.155 ≈ 16.16

Kavinsky

Answer: B. 16 dollars and 16 cents

Step-by-step explanation:

89.75 * .18 = $16.155

Answer:

The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.

Step-by-step explanation:

Volume is a three-dimensional scalar quantity. The amount of coffee that can be put in the tumbler is 11.486 in³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the diameter of the coffee, the tumbler is 3inches, while the height is 7 inches, also, 0.5 inches is needed to be left to fit the lid on the top. Therefore, the height of the tumbler will be 6.5 inches (7-0.5).

Now, the volume of the coffee tumbler will be,

The volume of the coffee tumbler = (π/4)×D²×h

                                                         = (π/4)×(1.5)²×6.5

                                                         = 11.486 in³

Hence, the amount of coffee that can be put in the tumbler is 11.486 in³.

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Answer:

8. P = 48 cm A = 83

9. P =32 cm A = 60

Step-by-step explanation:

P = add all sides together

A = base times height

Answer:

8. P = 48 cm, A = 83 cm²

9. P = 36 cm, A = 56 cm²

Step-by-step explanation:

The trick with irregular shaped objects areas is to split them up into several rectangles. Perimeters is just filling in the missing sides using the other sides and adding them all up.

After finding the missing sides for the first figure, the perimeter would be:

5 + 10 + 4 + 3 + 11 + 3 + 2 + 10 = 48 cm

For the area, we split the figure into the vertical rectangle on top and the horizontal rectangle on the bottom. You'll see that the vertical rectangle has an area of 50 squared cm (5 * 10), while the area of the other rectangle is 33 squared cm (3 * 11), so the area of the whole figure is 50 + 33 = 83 squared cm.

Use this same method for the next figure, and you should get that the perimeter is 36 cm and the area is 56 squared cm.

Hope this helps

Answer:

[tex]\{-7,13\}[/tex]

Step-by-step explanation:

[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]

Answer: Heyaa! ~

Your Answer is... (-7, 13) Which is C.

Step-by-step explanation:

Factor then solve to find the complex solutions.

Remove the absolute value term. This creates a ±

on the right side of the equation because |x|=±x.

R−3=±10

The complete solution is the result of both the positive and negative portions of the solution.

R= -7, 13

Hopefully this helps you! ~

The probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

3 percent of the eggs supplied to a supermarket are cracked.

The probability that no eggs are cracked = 1 - 0.03 = 0.97

The probability that if you buy two dozen eggs, none of your eggs will be cracked:

= 0.97×0.97

= 0.9409

= 94.09%

Thus, the probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.

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Answer:

50,076 square inches

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A complete probability model should sum up the probability to 1

by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12

So, they can be a complete probability model with 3 outcomes "2", "3" & "4"

Answer:

C) y = 16 feet

Step-by-step explanation:

the corresponding sides in ABCD are equal to their corresponding sides by EFGH multiplied by something

all values are in feet

let x represent the unknown side in ABCD

ABCD lengths in order: x, 30 , 40 , 60

let a and b represent the unknown sides in EFGH

EFGH lengths in order: 6, 12, a, b

thus, 30 corresponds to 12 as they are both the second shortest sides

corresponding side in EFGH * something = corresponding side in ABCD

12 * something = 30

let something be r

12 * r = 30

divide both sides by 12 to isolate r

r = 30/12

thus, to get a side in ABCD, we multiply the corresponding side in EFGH by 30/12

we want to find the second longest side in EFGH. the corresponding side to that in ABCD is 40, as 40 is the second longest side in ABCD

let the second longest side in EFGH = y

y * 30/12 = 40

multiply both sides by 12/30 to isolate y

40 * 12 / 30 = y = 16

y = 16 feet

The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" is 36/363.

Probability is the likelihood that a stated event would occur. The probability that the event would happen lies between 0 and 1.

The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" = 36 / total number of tickets bought

36 / (36 + 12 + 127 + 188) = 36 / 363

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Answer:

AE is 77

AB is 65

CPD is 77

BPE is 142

ADC is 257

ACD is 180

Step-by-step explanation:

line CE and AD are splitting the circle in half

Answer:

216°

Step-by-step explanation:

Conversion from Radians to degrees : -

( θ * 360 ) / π

θ = 3π / 5

θ = ( 3π / 5 * 360 / π )

= ( 3 * 360 * π ) / ( 5 * π )

= ( 3 * 360 ) / 5

= 3 * 72

θ = 216°

Answer:

30k + k²

Explanation:

First Step:

30 is added to k means : 30 + k

Second Step:

Resulting number multiplied by k means : (30 + k) × k

Results:

30k + k² ___prime number.

Answer:

C

Step-by-step explanation:

A linear function is the repeating of the same word. Therefore, C would be the correct option. Due to the order 3 9 3 9, this is a linear function. This is just the most logical answer. Please let me know if I am wrong. Sorry if I am :(

Answer:

Step-by-step explanation:

10 - 16 = -6

15 - 21  = -6

option B and option D

hope it helps...!!!

Answer:

x= 14

Step-by-step explanation:

When the triangles are similar, they should have a similar ratio that makes one side equal to another. In this case, the ratio is 1.5 as 24 divided by 16 is 1.5. Now, taking the side that is "similar" to the x-value which is 21, we divided 21 by 1.5 resulting in x= 14.

Answer:

x = 14

Step-by-step explanation:

24/21 = 1.14285714286

16/14 = 1.14285714286

Have a nice day! :)

Answer:

C.A 140° angle

please mark me brainliest

Answer:

slope is 1/3 or 0.33333333333333

Step-by-step explanation:

just ask

Answer:

-0.6/0.2

Step-by-step explanation:

rise over run, the equation is: x1-x2/y1-y2

Answer: 2x-y=0

Step-by-step explanation:

y=2x

-2x -2x

-1(-2x+y=0)

2x-y=0

Answer:

thirty three hundredths

Step-by-step explanation:

4/10 + ? = 73/100
4/10 is the same as 40/100

73-40=33

33/100

The equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The path of the launched projectile will a parabola.

We have the vertex of the parabola (5, 120)

The standard equation in terms of vertex (h, k)

[tex]\rm y = a(x-h)^2+k[/tex]

Plug the points:

[tex]\rm y = a(x-5)^2+120[/tex]

To find the value of “a” plug point (25, 80)

[tex]\rm 80 = a(25-5)^2+120[/tex]

a = -1/10

Plug this into the equation;

The path of the equation:

[tex]\rm y = \dfrac{-1}{10}(x-5)^2+120[/tex]

Thus, the equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.

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the last one is- 5/6  0.8333 %0.8333

3/5   0.6  %0.6

1/5  0.2   %0.2

1/4 0.25 %0.25

Hope this helps you!! :)

Answer:

The value of b is 21

Step-by-step explanation:

29=√20^2+b^2

or, 29=√400+b^2

or, 841=400+b^2

or, 841-400=b^2

or, √441=b

b=21

According to the rational root theorem, the function that has the same set of potential rational roots is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.

Given the function:

g(x) = 3x^5 – 2x^4 + 9x^3 – x^2 + 12

We would have to find the rational roots and this would be done by:

Identifying the factors of 12 and 3.

After this, there would have to be an analysis of the factors and we can see that the correct answer is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.

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Answer:

[tex]10^{-4} = 0.0001[/tex]

Step-by-step explanation:

Negative exponents make the base a reciprocal:

[tex]x^{-1} = \frac{1}{x}\\x^2 = \frac{1}{x^2}\\[/tex]

Therefore, we can rewrite [tex]10^{-4}[/tex] as:

[tex]10^{-4} = \frac{1}{10^4} = \frac{1}{10000} = 0.0001[/tex]

10^-4 = 0.0001

1 x 10^-4 = 10^-4

It's a negative power - so you divide the 1 by 10000 - to get 0.0001.

Same as 1/10000

Hope this helps!

Step-by-step explanation:

sin = 15/17

cos = -8/17

tan = -15/8

csc = 17/15

sec = -17/8

cot = -8/15

Answer:

b=566/81

Step-by-step explanation:

b=566/81