The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variation, which equation represents this situation?

A.
l + h = k
B.
lh = k
C.
l = hk
D.
l = h + k

Answers

Answer 1

Answer:

C. l = hk

Step-by-step explanation:

the equation for direct variation is y = xk (or y/x = k) so you just replace y and x with l and h

Answer 2

The length of the shadow cast l represents by situation l = hk. Hence, option (C) is correct.

What is the linear relation of an equation?

An equation has a linear relation if a variable from that equation varies linearly with the other variable.

for example, x is varied linearly with y then we can write

x ∝ y

x = yk where k will be the constant of variation.

Given that length, l is varies directly as the height h

Hence, l = hk will be the correct representation.

For more information about direct variation.

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Related Questions

PLZ HELP
Write an equation of the given line in slope-intercept form with the given points (1,1) and (4,2)

Answers

Answer: Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 3/4, point (8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 7/2, point (−8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, -5). #2

avatar+51

+2

I'm going to answer the solution in Point-Slope and Slope-Intercept.

Slope - Intercept form is this: y = mx + b

We know that (x, y) is a point on the line, m is the slope, and b is the y-intercept.

From the given information we have that it has a slope of 2 (m = 2), and one of the points on the line is (3, 9) which means that (x = 3, y = 9)

Plugging in we get:

y = mx + b

9 = 2*3 + b

9 = 6 + b

b = 3

Therefore the y-intercept is 3. After having this information we can construct our equation.

We now have to put this in the point-slope form which is: (y - y1) = m(x - x1)

Transferring what we had before we can plugin and get y - 9 = 2(x - 3)

Comment down if you have any queries or any questions on the solution. Tell me as soon as possible. Good luck in your Algebra Pursuit!! :)

Enjoy!! I put the answer in both point-slope and slope-intercept if you haven't noticed!! :)

So our answer is:

y - 9 = 2(x - 3)​.

Jhon is saving for his trip to see Alamo. He started with 22 in his savings account every week he earns 15$ For babysitting.Out of that he spend 7$ And saves the rest Jhon uses the rule add 8 to find out how much money he has at the end of each week

Answers

Answer: $30

Step-by-step explanation:

John earns $15 and spends $7. The amount left for saving is;

= 15 - 7

= $8

He started with $22 so the new total is;

= 22 + 8

= $30

12. Which of the following shows the domain and range of F(x) = 2 |x|?

Answers

Answer:

Step-by-step explanation:

A polynomial function is also:

a. infinite.
d. indiscriminate.
c. rational.
d. irrational.

Answers

Answer:

A. Infinite

Step-by-step explanation:

First lets define a polynomial function. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation.

Well Infinite functions are functions that have an answer of all real numbers right? So that would make sense.

Honestly I've never heard of an indiscriminate.

Irrational function has answers that can only be zero or above never negative because its inside a radical sign and radical answers can't be negative. If you've ever seen the graph of an irrational function though it looks nothing like a polynomial.

A rational function is a function that the polynomial in it does not equal zero.

A polynomial function is not always a rational function though. But it can be.

I hope this helps. <3

The Polynomial function is also a :

Rational Function

What is Discriminant in Math?

Discriminant of a polynomial in math is a function of the coefficients of the polynomial.

There can be irrational Coefficient in a polynomial.

Yes, All polynomials are rational expressions but all rational expressions need not be polynomials.

Consider a polynomial p(x).This can be written as a rational expression as p(x)/1.

So, The Polynomial function is also a :

Rational Function

Learn more about Polynomial function at:

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Find the volume of a pyramid with a square base, where the perimeter of the base is 15.8\text{ ft}15.8 ft and the height of the pyramid is 20.4\text{ ft}20.4 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

The volume of the Pyramid is 318.3 cubic foot

Step-by-step explanation:

Here, we want to calculate the volume of the Pyramid

Mathematically, the volume of the pyramid is the area of the square base multiplied by the height of the Pyramid.

Since the perimeter is 15.8 and the formula for the perimeter is 4L

we can get the length of the side of the square

The length of the side will be 15.8/4 = 3.95

The area of the square base is thus equal to;

3.95^2 = 15.6025 square feet

Now we can multiply this by the height

Mathematically, that will be;

15.6025 * 20.4 = 318.291 which is approximately 318.3 cubic foot

Answer:

106.1 ft

Step-by-step explanation:

When a point moves right on a coordinate plane,
what happens to its x-value?

Answers

Answer:

The coordinate plane is like a cross right? Just remember if you go right the x value is going into the positive direction, if you go up the y value is also going into the positive direction. And positive direction means the value will increase.

So (3,0), would be further left than (10,0). Or (0,5) would be higher than (0,2) on the graph.

What the last guy said is correct

$75 divided by 18% tip

Answers

Answer:

.18

Step-by-step explanation:

What is a 18 percent tip by bill amount?

...

What's a 18% Tip on a $75 Bill?

Bill: $75.00

Tip: $13.50

Total: $88.50

sooooo 13.50 divided by 75.00 = .18

byeeeee :)

Rewrite 300 in simplest radical form?

Answers

Answer:

10√3

Step-by-step explanation:

First we write the square root of 300 like this:

√300

The largest perfect square of the factors of 300 is 100. We can therefore convert √300 like this:

√100 × 3

Next, we separate the numbers inside the √ as such:

√100 × √3

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 300 in simplest radical form as follows:

10√3

Between 10 pm and 7:45 am the water level in a swimming pool decreased by 9/50 inch. Assuming the constant rate how much did it drop each hour ​

Answers

Hii...I am new in Brainly...plz thnx my this and other 3-4 ans plzzz

So the correct answer is “6/325”

plsplsplsplsplsplsplspsslspsplslsplssppslspslslplspslshelp

Answers

Answer:

0.02

Step-by-step explanation:

divide the money by how much you have..

i dont know if its right but i hoped i helps

Answer:

$0.02 each lollipop

Step-by-step explanation:

divide $20 by quantity to get unit rate

20/1000 = 2/100 = 2 cents

3
Which point on the number line represents 4?
B
с
D
D
o
В
O

Answers

Answer:   B

Step-by-step explanation:Because you look at the the value place and make sure it is under zero and also make sure it is in the correct spot.

plz leave a like

this one is for yakoro is if your not yakoro keep scrolling

here ya go

Answers

Answer:

Aaaawwwww thx so much

Step-by-step explanation:

Yes all of you peasants bow, I am the queen!

Answer:

I'll answer

Step-by-step explanation:

thx for the points XD

Marissa drove 3000 miles in 75 hours. At this rate, how long will it take her to drive 4000 miles?

Answers

Answer:

88.33 hrs

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

You can divide 3000 miles by 75 hours to find the mile per hour. You get 40mph and you divide 4000 by 40 to get 100 hours for 4000 miles.

Using the scenario below, what would you do in each step of the SIPDE
process:
You are driving at 55 mph on an Interstate. A car in front of you has a
blow out on its right front tire.

Answers

Answer:?

Step-by-step explanation:

Answer: scanning, predicting, identifying, decision making, and executing

Step-by-step explanation:

2x + 2y = 350

What is X and Y?

Answers

2y = -2x + 350
y = -1x + 175
Plug in any value for x to find y
Example: when x = 1
Y = -1(1) + 175, y = 174
In this case, (1,174)
Keep doing that, there are many solutions!
(1 , 175 ) is the answer

One serving of milk has 120 calories. If one serving is equal to 1 cup, how many calories are in 1 fluid ounce? (1 cup=8 fluid ounces)

Answers

120 calories / 8 fluid ounces = 15 calories per fluid ounce

Solving 2 step equations
Check the image for questions
This is for my sister

Answers

Answer:

1. x = 3

2. p = -3

3. a = 4

4. n = -2

5. g = 2

6. k = -18

7. s = 18

8. c = -8

9. a = -6

10 v = 9

Which expression is equivalent to 10 square root 5

awnsers

a.) square root 500
b.) square root 105
c.) square root 50
d.) square root 15

Answers

Answer:

[tex]a) \sqrt{500} [/tex]

Step-by-step explanation:

[tex]10 \sqrt{5} [/tex]

[tex] \sqrt{ {10}^{2} } \sqrt{5} [/tex]

[tex] \sqrt{5 \times {10}^{2} } [/tex]

[tex] \sqrt{5 \times 100} [/tex]

[tex] \sqrt{500} [/tex]

Answer:

500

Step-by-step explanation:

I took the test

HELP ASAP Store A sells 5 bagels for $2.05. Store B sells 3 bagels for $1.35. How do the unit rates compare?
A. The bagels at Store A are $0.04 more expensive than the bagels at Store B.
B. The bagels at Store A are $0.03 more expensive than the bagels at Store B.
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
D. The bagels at Store B are $0.03 more expensive than the bagels at Store A.
3 / 24

Answers

Step-by-step explanation:

Store A:

5 bagels for $2.05, 1 bagel for $2.05/5 = $0.41.

Store B:

3 bagels for $1.35, 1 bagel for $1.35/3 = $0.45.

Hence the bagels at Store B are $0.04 more expansive than the bagels at Store A. (C)

Answer:

1. B

2. A

3. B

4. C

PLEASE HELP WILL MARK BRAINLIEST!!!

Answers

Answer: i think it may be b

Step-by-step explanation:

A roofing contractor has 29 bundles of roofing shingles that he needs to carry up a ladder and put onto a roof he carries two bundles at a time how many bundles are still on the ground after his seventh trip up the ladder

Answers

Answer:

15 bundles of roofing shingles

Step-by-step explanation:

Total bundles of roofing shingles = 29

He carries two bundles at a time

How many bundles are still on the ground after his seventh trip up the ladder?

First trip = 2 bundles of roofing shingles

Second trip = 2 bundles of roofing shingles

Third trip = 2 bundles of roofing shingles

Fourth trip = 2 bundles of roofing shingles

Fifth trip = 2 bundles of roofing shingles

Sixth trip = 2 bundles of roofing shingles

Seventh trip = 2 bundles of roofing shingles

Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2

= 14 bundles of roofing shingles

Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips

= 29 - 14

= 15 bundles of roofing shingles

What are the missing operations?


48 ? (-8) = (-6)

(-40) ? 8 =( -5)

12 ? (-2) = 14

18 ? (-12) = 6

18 ? (-20) = -2

22 ? (-0.5) = -11


If you answer this I will give 26 points please help me!!!!

Answers

Answer:

Solution in photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

Kristen is making accessories for the soccer team. She uses 763.98 inches of fabric on headbands for 32 players and 2 coaches. She also uses 272.32 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

22.47 in of fabric on headbands

8.51 in of fabric on wristbands

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 32+2= 34

for each person she uses = 763.98/32= 22.47 in of fabric on headbands

She also uses 272.32 inches of fabric on wristbands for just the players

For each player, she will use= 272.32/32= 8.51 in of fabric

Hence for each player, she used

22.47 in of fabric on headbands

8.51 in of fabric on wristbands.

Pls help due soon!!!

Answers

Answer:

B) 10 m

Step-by-step explanation:

Area is 20 and Height is 4

Ok so

AREA of a triangle is =1/2Base Times Height

work back

Area=20

Height=4

b=Base

20=1/2b*4

Simplify both sides of the equation.

20=2b

Flip equation

2b=20

Divide both sides by 2

b=10

Base=10 m

Answer:

10m

Step-by-step explanation:

Area of a triangle:  [tex]\frac{1}{2}[/tex]bh

where 'b' = base and 'h' = height

plug in known values:  20 = [tex]\frac{4b}{2}[/tex]

cross-multiply:  4b = 40

b = 10

There will be 666 people at ellie's pie party. She wants to bake enough pie so that each person can eat at least \dfrac15 5 1 %e2%80%8b start fraction, 1, divided by, 5, end fraction of a pie. What is the minimum number of pies ellie should bake?

Answers

Answer: 2 pies

Step-by-step explanation:

Here is the correct question:

There will be 6 people at Ellie's pie party. She wants to bake enough pie so that each person can eat at least ​1/5 of a pie.What is the minimum number of pies Ellie should bake?

Since each person can eat at least 1/5 of the pie and there are 6 people, the 6 people would them eat at least (6 × 1/5) = 6/5 pie. Since we are talking about whole numbers with regards to the pie, it simply means that at least 2 pies should be baked.

2 tan 30°
II
1 + tan- 300​

Answers

Question:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]

Answer:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]

Step-by-step explanation:

Given

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]

Required

Simplify

In trigonometry:

[tex]tan(30^{\circ}) = \frac{1}{\sqrt{3}}[/tex]

So, the expression becomes:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}[/tex]

Simplify the denominator

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}[/tex]

Express the fraction as:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= \frac{2}{\sqrt 3} / \frac{4}{3}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2}{\sqrt 3} * \frac{3}{4}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{1}{\sqrt 3} * \frac{3}{2}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3}[/tex]

Rationalize

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3\sqrt{3}}{2* 3}[/tex]

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\sqrt{3}}{2}[/tex]

In trigonometry:

[tex]sin(60^{\circ}) = \frac{\sqrt{3}}{2}[/tex]

Hence:

[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]

(0.9)+'
What is the approximate rate of decay in the exponential function f (t)
?
A
0.02
B.
0.1
С
0.11
D
0.9

Answers

Answer:

soooo u do dis and dat and OPE lookit the time

Dum Step-by-step explanation:

looks like its time to act dum ayy friend me. im givin out free points every weekday. if its friday, i do it every hour, called free point friday. check me out.

Angelina has 5 cakes. She wants to cut them into 2/5 pieces. How many pieces will she be able to cut?

Answers

Answer:

12 1/2

Step-by-step explanation:

Answer:

12 pieces and 1/5 is left over

Step-by-step explanation:

If 2a+4b=5 and a is equal to three times b, what is 3a?

Answers

Answer:

3a=4.5

Step-by-step explanation:

it says that "a is equal to 3 times b", which translates to a=3b

We can substitute a as 3b in 2a+4b=5

2(3b)+4b=5

multiply

6b+4b=5

add

10b=5

divide by 10

b=1/2

since it's given that a=3b, we can multiply 1/2 by 3

a=3/2

3a is 3 times a, so we can mutiply 3(3/2)=9/2=4.5

Hope this helps!

The heights of Major League Baseball players in the year 2012 were approximately Normally distributed with the mean = 73.5, and the standard deviation = 2.25 in.
1) How many of the 1400 players are expected to have heights between 69.5 in. and 76.5 in.?
2)Use technology to determine the number of players with z-scores for height between -1.23 and +0.75.
3) Use technology to determine the expected percentage of players with heights in the following range: 70 in. and 76 in.
4) Use technology to determine the expected percentage of players with heights in the following range: 72 in. and 73 in.
5) How many more players are expected to have heights above 73 in. than between 71 in. and 74 in.?

Answers

Answer:

69 xD Funny LOL GeT ReKt

Step-by-step explanation:

Other Questions
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