The width of a triangle varies inversely with its length. if the width is 4 when the length is 12 find the width when the length is 16

Answers

Answer 1

Answer:

3 units

Step-by-step explanation:

If a triangles dimensions vary directly, then x (length) and y (width) are related by a constant of proportionality, k such that [tex]y=kx[/tex]. If they vary inversely, [tex]x[/tex] and [tex]y[/tex] are related such that [tex]xy = k[/tex]. Using this we find the value of k for this triangle to be [tex](4)(12) = 48[/tex]. We can apply this to our new triangle with length 16 to say that [tex]16y = 48[/tex], and [tex]y=3.[/tex]

If the idea of how these equations work confuses you, think of it this way.

Varying directly means that when x increases, so does y.
Varying inversely means that when x increases, y decreases.

The opposite is true for either relationship.


Related Questions

The length of human hair is proportional to the number of months it has grown.

STEP 1:a. What is the hair length in centimeters after 6 months? Round your answer to the nearest hundredth.
The hair length is about _ centimeters.

STEP 2:b. How long does it take hair to grow 8 inches?
It takes _ months.

STEP 3:c. Use a different method than the one in part (b) to find how long it takes hair to grow 20 inches.
It takes _ months.

Answers

Answer:

6 2 45 10

Step-by-step explanation:

i got it right on edge

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

a)

The hair length is about 8 cm

b)

It takes about 18 months.

c)

it takes about 40 months.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph:

(2, 1), (3, 1.5), (4, 2), (6, 3), and (8, 4)

Where the x-axis is the number of months and the y-axis is the length of the hair in inches.

Now,

1 inch = 2.54 cm

3 inches = 3 x 2.54 = 7.62 cm
The hair length after 6 months.

= (6, 3)

= 3 inches

= 7.62 cm

Now,

6 months = 3 inches

Multiply 8/3 on both sides.

8/3 x 6 months = 8 inches

16 months = 8 inches

Now,

From the graph, we see that,

(8, 4)

This means,

In 4 months the length of the hair is 4 inches.

8 months = 4 inches

Multiply 5 on both sides.

40 months = 20 inches

Thus,

a)

The hair length is about 8 cm

b)

It takes about 18 months.

c)

it takes about 40 months.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

how to evaluate cube root from given volume and square root from given area?

Answers

Step-by-step explanation:

Say the volume is 8

=> ³√8

The power of cube root is 1/3 ,

=> 8^(1/3)

=> 2^(3*1/3)

=> 2¹

=> 2

Say area is 4 ,

=> ²√4 or √4

Power of sqaure root is 1/2 ,

=> 4^(1/2)

=> 2^(2*1/2)

=> 2¹

=> 2

Prime factorize.
To find square root for 36,
36=2*2*3*3
Square root of 36=2*3=6

216= 2*2*2*3*3*3
Cube root of 216=2*3=6

Which expression is equivalent to −3/4÷(−8/12)? A) −3/4×8/12 B) 3/4×(−8/12) C)−3/4×12/8 D) 34×12/8

Answers

D. Because when you divide fractions you need to keep change flip and multiply it by the reciprocal so that is what d shows you
D I GOT IR RIGHT ON MY TEST !!!

need help!

Tyler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it
Tyler's mom purchased another savings bond for $275 with the same return. How much will it be worth in one year?

give the correct answer, and I'll give brainliest
I purple You!

Answers

I don’t know that answer I just need to do this to ask anything question
10%=15\2=7.5 1%=1 7.5-1=6.5

Find the original price given the total amount and the tip rate. Total amount: $38.35 Tip: 18%

Answers

Answer:

The original price is 45.25$

$38.35 + 18% = 45.25$

Compare the decimals (and turn them into unlike decimals)

a) 3 or 0.8

b) 0.5 or 0.05

c) 1.5 or 1.50

d) 1.431 or 1.490

e) 3.3 or 3.300

f) 5.64 or 5.603

Answers

Answer:

a

Step-by-step explanation:

pLeAsEEEEEEEEE I need it

Answers

Answer:

The answer is no. 4, no. 5, and no. 6.

Step-by-step explanation:

Answer:

30 plus 18

Step-by-step explanation:

If x = 3, what is the value of 10x + 12?
A.
66
B.
42
C.
150
D.
26

Answers

>> Answer

_________

[tex] \: [/tex]

x = 3

Soo :

10x + 12 = ...

= 10(3) + 12

= 30 + 12

= 42 (B.)

Mai works mowing lawns and babysitting. She earns $7.60 an hour for mowing and $7.10 an hour for babysitting. How much will she earn for 1 hour of mowing and 4 hours of babysitting?

Answers

Answer:

1 hour mowing=7.60

4 hours of babysitting= 28.40

7.60+28.40= $36 in total

Step-by-step explanation:

1 hour of mowing and 4 hours of babysitting: 7.60 + (7.10)x4 = 36$

Ok, I’m done. Thank to me :>

HELP ME ASAP!!!!!!!!!

Answers

Answer:

Step-by-step explanation:No

Answer:

2*30       10*6       1*60   20*3

Step-by-step explanation:

Find 2 numbers that multiplied have a result of 60

Pleas help me3 this is for khan academy!!


Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?

Answers

Answer: deliah does 46 jumping jacks per min.
Have a great day/night :) do you need help with any more Khan Academy questions?

Please help. 35 points.

Answers

Answer:

C

Step-by-step explanation:

The answer is A and B because the are the same

What is the measure of exterior angle Y in triangle XYZ?

Answers

Answer:

164°

Step-by-step explanation:

Y and Z together make a 180 degree angle. With this we can simply subtract 16 degrees from 180 degrees. This gives us the angle of Y

angle y would be 164 degrees
because 180-16=164

HELPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

a=18

b=7

c=27

Step-by-step explanation:

plug in the x next to the letter you need into the equation fx=5x+8 then use photo math for the rest

for example f(-2)=2(-2)=8

Gerard is calculating the area of a composite figure. The figure is made up of a square with side lengths of 6 centimeters (cm) and a triangle with a base of 6 cm and a height of 3.5 cm.

Gerard multiplies 6 by 3.5 to get that the area of the figure is 21 cm2, which is not the correct area.

Which statement correctly describes how Gerard could have found the correct answer?

-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 27 cm2, to get 63 sq. cm.
-He should have added 6 to 3.5 to get 9.5 sq. cm.
-He should have multiplied 21 by 12 to get 10.5 sq. cm.
-He should have found the area of the square, 36 cm2, and added it to the area of the triangle, 10.5 cm2, to get 46.5 sq. cm.

HELP PLEASEEE

Answers

Answer:

6.5

Step-by-step explanation:

I took the test

A doctor's office found that a lower outside temperature did not indicate a change in the number of appointments made. What can we determine from this information? 1.There is no correlation between outside temperature and number of appointments made. 2.There is a correlation between outside temperature and number of appointments made. However, there is no causation. This is because there is likely an increase in the number of appointments made with a decrease in the temperature outside. 3.There is a correlation between outside temperature and number of appointments made. There may or may not be causation. Further studies would have to be done to determine this.

Answers

Answer: 1, There is no correlation between outside temperature and number of appointments made.

Step-by-step explanation: It would be 1 because in the problem it states that even though temperatures were lower outside, their number of appointments had not changed. Because the number of appointments had not changed, there is no correlation between the temperature outside and number of appointments made.

Answer:

no correlation

Step-by-step explanation:

asked my teacher

-0.75/2 - 1 < -1 with explanation pls

Answers

>> Answer

_________

[tex] \: [/tex]

[tex] \frac{ - 0.75}{2} - 1 < - 1[/tex]

[tex] - 0.375 - 1 < - 1[/tex]

[tex] - 1.375 < - 1[/tex]

True.

6y3 - 19 + 9y2 + (24 ÷ 6)

What is the value of the expression when y = 2?
A.
69
B.
15
C.
39
D.
107

Answers

Answer:

57

Step-by-step explanation:

When y=2, you just plug in the number 2 every time y appears in the equation.

Therefore, [tex]6*(2)*3-19+9*(2)*2+(24/6)...\\[/tex]

Now that can be simplified by just multiplying/dividing out each term as needed

[tex]36-19+36+4[/tex]

Now, all that is left to do is add everything together!

[tex]=57[/tex]

It appears that none of the answers provided are correct. Maybe talk to your instructor about it also!

PLEASE ANSWER I WILL GIVE BRAINLEIST

Answers

-16 i think is the correct anwser because you take the old number then subtract the new number then divide the old one then multiply by 100
I think it’s 112% :)

John adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What percentage of milk in the resulting mixture

Answers

Answer:
19% milk is in the remaining mixture.

Explanation:
The initial mixture is 18oz, if 10% of it is milk, then 1.8oz is milk.
If 2oz of milk is added to the initial mixture, then the resulting mixture becomes: a 20oz cup of coffee, & the amount of milk that is in it is 3.8oz, which is 19% of 20.

The percentage of milk in the resulting mixture is 19.44% and this can be determined by using the unitary method.

Given :

John adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk.

The following steps can be used to determine the percentage of milk in the resulting mixture:

Step 1 - The unitary method can be used to determine the percentage of milk in the resulting mixture.

Step 2 - Given that 18 oz cup of coffee has 10% of the milk that is:

[tex]=\dfrac{18}{100}\times 10[/tex]

= 1.8 oz of milk

So, the 18 oz cup of coffee contains 1.8 oz of milk.

Step 3 - It is given that 2 oz of milk is added in 18 oz cup of coffee. So, the total mixture becomes 20 oz.

Step 4 - So, an 20 oz cup of coffee there 3.5 oz of milk.

Step 5 - If 1.8 oz is 10% then 3.5 oz is:

[tex]=\dfrac{3.5}{1.8}\times 10[/tex]

= 19.44 %

The percentage of milk in the resulting mixture is 19.44%.

For more information, refer to the link given below:

https://brainly.com/question/16807456

Round 23,771 to the nearest ten thousand

Answers

Answer:

20,000

Step-by-step explanation:

Round 23,771 to the nearest ten thousand.

23,771 -> 20,000

20,000 because 23 is in the tens column and its below 5 so round down

Find the current minimum wage for your state. Calculate how many hours it would take to earn $100,00 with that hourly wage, assuming they work forty hours a week for fifty weeks a year. Finally, write a simple paragraph (5-7 sentences) explaining your finding.
State= Colorado.

Can someone please help me with this!!!

Answers

Answer:

8,117 hours

Step-by-step explanation:

Colorado's current minimum wage is $12.32 per hour. 100,000/12.32=8,117.

-0.75/2 - 1 < -1 pls

Answers

Answer:

-1.375< -1

Step-by-step explanation:

Answer:

-1.375

Step-by-step explanation:

8÷–4×(–7––2)=?
OM god guys I need help on this one! This is urgent!! pls hurry up!!

Answers

Answer:

10

Step-by-step explanation:

[tex](8 \div -4) \times ( - 7 + 2) = (-2)( - 5) = 10[/tex]

PLS HELP IM NOT SMART PLSS ITS DUE SOON

Answers

Answer:

Step by step explanation:
I can’t help you. I need help myself.

help help me out pls

Answers

Answer:

A) [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Do you want the explanation?

Answer:

3/10 a yard

3/5 = 6/10

(6/10) / 2 = 3/10

I need to turn it in by 5pm Please Help!!!!!

At the movies, you order 3 boxes of popcorn and a bottle of water. The cost of the bottle of water is $1.75. Your total cost is $9.25. Write an EQUATION to find the cost of one box of popcorn.

Answers

3 boxes of popcorn and a bottle of water are $9.25
A bottle of water is $1.75

$9.25 - $1.75 = $7.5 (the price of 3 boxes of popcorn)
We divide $7.5 by 3 to know the price of one box of popcorn
$7.5 : 3 = $2.5
One box of popcorn costs $2.5

Answer:

Step-by-step explanation:

$9.25-$1.75=7.5

now you divide 7.5 by the number of popcorn have brought

$7.5 divided by 3= $2.5

30 pts and brainliest

Answers

Answer:

2 : 1

Step-by-step explanation:

3x2=6, 6÷1/2=3 that is how I understand it to be. I'm not sure if you need it but x=11

It’s 2 over 1. All you need to do is divide 6 by 3. You get 2 and then if you need x you just multiply 5.5 by 2

Write an ordered pair for the point in Quadrant 4 that is 4 units away from point S (-1.5, -2.5) on the coordinate plane.


Whoever gets it right first will get brainliest!

Also please include an explanation with your work

thank u
:-)

Answers

Answer:

(2.5, -2.5)

Step-by-step explanation:

I think that's right. Quadrant IV is when there is a positive x and negative y. And I had to make it 4 units away so I added 4 to -1.5 and got 2.5.

Answer:

(2.5, -2.5)

Step-by-step explanation:

Estimate 459 + 335 + 1,467 by first rounding each number to the nearest hundred.

Answers

the answer is 2,400
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