Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. x=10 in.

Answers

Answer 1

Step-by-step explanation:

The formula for calculating the area of a square is expressed as;

A = x² where;

x is the length of one side of the square

Given

x = 10in

A = 10²

A = 10 * 10

A = 100in²

Area of the square with side length 10in is 100in²

From the equation A = x², we can see that as the value of x increases, the value of the area also increases and vice versa. This means that the area of the square is directky proportional to its length. Hence we can say YES, the area of a square and the length of its side directly proportional

Answer 2

Answer:

100 sq in

Step-by-step explanation:

No, not proportional


Related Questions

I would greatly appreciate it if you would help me

Answers

Answer:-1

Step-by-step explanation:

the output of a function is the y value while the input is the x value.

so the question is asking what does the y value( output) have to be for the x value( input) to be zero.

since the graph is provided we can just look to see where the x values becomes zero ( the y axis is when all y values are zero)

we then can identify that the y intercept is -1

hope this helps!!

The area of a rectangle is 5/6 square foot. The width is 2/3 foot. How many times greater is the length than the width? Write your answer in simplest form.

Answers

Answer:

15/8

Step-by-step explanation:

The area of a rectangle is given as 5/6 square foot.

The width is given as 2/3 foot

But area if a Rectangle = Lenght × width

A = Lenght x width

5/6= Lenght × 2/3

If we make Lenght subject of the formula we have

lenght= (5/6) / (2/3)

length = (5×3)/(6×2)

Lenght= 5/4

To calculate the number of times greater is the length than the width we take the ratio of Lenght and width

Lenght / width = (5/4) / (2/3)

= (5×3)/(4×2)

= 15/8

Hence the number of times greater is the length than the width is 15/8

Given the angle measures of a triangle are 3x + 6 degrees, 4x + 2 degrees and 10x + 2 degrees, determine the 3 angles in this triangle?

Answers

Answer:

36,42,102

Step-by-step explanation:

A triangle is 180° total so your equation to find x is:

3x+6+4x+2+10x+2=180°

17x+10=180

17x=170

x=10

to find the individual sides:

3(10)+6=36

4(10)+2=42

10(10)+2=102

to make sure this is right, add 36+42+102. It should equal 180 and it does

Giuliana has 22 quarters and dollar coins worth a total of $10.75.

Which equation can be used to find d, the number of dollar coins Giuliana has?

d – 22 + 0.25d = 10.75
0.25d + 22 – d = 10.75
0.25(22 – d) + d = 10.75
d + 0.25(d – 22) = 10.75

Answers

Answer:

0.25(22-d)+d=10.75

Step-by-step explanation:

None of the other equations make sense given the information

Given that line t and line g are parallel and that m<2=105 and m<15=95 select the angle measure for each angle named.

Answers

Answer:

<1 = <9 = <4 = <12 = 75

<2 = <3 = <10 = <11 = 105

<5 = <8 = <13 = <16 = 85

<6 = <7 = <14 = <15 = 95

Investors buy a studio apartment for $180,000. Of this​ amount, they have a down payment of $36,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$72,000 down payment​ be?
Their down payment is *blank*% of the purchase price.

Answers

Answer:

Answer: 36,000 would be 20 percent. 72,000 would be 40 percent. Step-by-step explanation: You just divide 36,000 by 180,000

You and a group of friends take turns planting 2 trees each at a campsite. After the first person plants 2 trees, there are 12 trees at the campsite. A. Write an equation for the nth term of the arithmetic sequence. Let n represent the position in the sequence and let an represent the number of trees. C. After 8 more people plant trees, how many trees are at the campsite?

Answers

Answer:

The equation for the nth term will be;

An = 10 + 2n

After the 9th planter ( 8 more than the initial one); number of trees will be 28

Step-by-step explanation:

After the first person plant two trees, there were 12 trees at the plant sites

What this mean is that initially, they were 12-2 = 10 trees at the plant site

The nth term of the sequence which represents the number of trees given the number of persons that have planted will be;

An = 10 + 2n

Now, after 8 more people planted, since we had one that already planted, the total number of planters is now 9 planters

So using the equation, n will be 9

So ; A9 = 10 + 2(9)

A9 = 10 + 18

A9 = 28

The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

hint there are 12 inches in a foot. your family recently had a family pressure taken your aunt asked you to take a picture of the portrait using your phone and send it to her if the original size of the portrait is 3 ft by 3 ft and the scale factor is 118 what would the size of the portrait be on ylour phone​

Answers

Answer:

1,416

Step-by-step explanation:

multiply 12 by 116

2+8+9+4-3-4-6+9+5+3+8

Answers

[tex]2+8+9+4-3-4-6+9+5+3+8 \\ \\ = > 10 + 9+4-3-4-6+9+5+3+8 \\ \\ = > 19+4-3-4-6+9+5+3+8 \\ \\ = > 23-3-4-6+9+5+3+8 \\ \\ = > 20-4-6+9+5+3+8 \\ \\ = > 16-6+9+5+3+8 \\ \\ = > 10+9+5+3+8 \\ \\ = > 19+5+3+8 \\ \\ = > 24 + 3 + 8 \\ \\ = > 27 + 8 \\ \\ = > \green{\boxed{ 35}}[/tex]

Answer:

35

Step-by-step explanation:

2+8+9+4-3-4-6+9+5+3+8

10+13-3-4-6+9+16

23-13+25

10+25

35

Evaluate the expression. 2. (3^6.3^-5)​

Answers

Answer:

1.00000

Step-by-step explanation:

Well I'm not sure what that upside down V is

Idk what to put here :(

Answers

Answer: I can barley see that

Step-by-step explanation:

Answer:

give me brainliest plssss i need it

Step-by-step explanation:

Please help thank you

Answers

Answer:

Step-by-step explanation:

A: dividend;

B: divisor;

C: quotient

i need help!!!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

g-(3,3)

h-(-5,3)

j- (5,-5)

Plz name me brainliest

SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)

Answers

Answer:

17 / 8

Step-by-step explanation:

sec A = [tex]\frac{1}{cos A}[/tex]

cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]

There are 4 boys and 9 girls on the track team how many students are on the track team altogether

Answers

Answer:

13 students

Step-by-step explanation:

4 plus 9 = 13

Answer:

ist it 13 students (・o・)

Please help me on this question

Answers

Answer:

a=50

b=40

c=80?

Step-by-step explanation:

a=50 (180-130)

b: 50+90=140 180-140= 40 b=40

c= 40+60=100 180-100=80?

PLEASE ANSWER FAST I WILL GIVE BRAINLY A climber is on a hike. After 2 hours he is at an altitude of 300 feet. After 5 hours, he is
at an altitude of 500 feet. What is his average rate of change? Make sure to include
your units!

Answers

Answer:

1.661 feet/ hour

Step-by-step explanation:

To find the rate of change, you take (y2 – y1) / (x2 – x1)

It's takes two scoops of detergent for every three scoops of fabric softener if there are 28 scoops of detergent remaining, how many scoops of fabric softener will be needed

Answers

Answer: 42

Step-by-step explanation:

The ratio scoops of detergent to scoops of fabric softener is 2:3.

If there are 28 scoops of detergent remaining, the number of scoops of fabric softener will be needed will be:

= (28/2) × 3

= 14 × 3

= 42 scoops of fabric softener

5,3,1,2,3,2,4,2,1,6,3,4,3,6 what is the mode to this data

Answers

the answer is three.

Answer:

the mode is 3.

Step-by-step explanation:

when organized, it's in this order:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6

the most repeated number in the dataset is 3.

The University of Washington Huskies tried throwing one of the longest Hail Mary's in history
- about 73 yards. For this pass, the ball's height over time was modeled by the function
h(t) = –16t2 + 64t + 6, where h(t) was the height in feet and t was the time in seconds.
Let's break down whether the Huskies ever had a chance.
1.
73 yards isn't just a long way to throw, it's a long way to run. To give his team the
best chance of running all the way down the field and catching the ball before it hits
the ground, the quarterback (passer) needs to keep the football in the air for a long
time. How long was the ball in the air?

Answers

9514 1404 393

Answer:

  4.09 seconds

Step-by-step explanation:

The ball is in the air until h(t) = 0. Solving that equation for t, we have ...

  0 = -16t^2 +64t +6

  t^2 -4t = 3/8 . . . . . . rearrange, divide by 16

  t^2 -4t +4 = 4 3/8 . . . add 4 to complete the square

  (t -2)^2 = 4.375 . . . . write as a square

  t = 2 +√4.375 . . . . . positive square root, add 2

  t ≈ 4.09165

The ball was in the air about 4.09 seconds.

A piece of string has been used to measure the circumference of a circle. Use a ruler to measure the diameter of the circle and the length of the string to the nearest 1/4 inch

Answers

Answer:

The circumference is expressed usingC=2πr

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circle.

The length of the string corresponds to the circumference of the circle.

The lenght of the string can be calculated by using the expression for circumference, if after using the ruler to obtain the diameter "d"

upon measuring the diameter we can further obtain the radius "r"

The expression for the radius is r=d/2 (the radius is half the diameter)

C=2πr

where pi= 3.124 a constant term

Hence Circumference is the same as the length of the string

Two students are taking a math test. After 5 minutes, one student is 13 done and the other is 28 done. How much ahead of the second student is the first

Answers

Given :

Two students are taking a maths test.

After 5 minutes, one student is 13 done and the other is 28 done.

To Find :

How much ahead of the second student is the first.

Solution :

Number of questions second student is ahead is :

[tex]n = 28 - 13\\\\n = 15[/tex]

Therefore, second student is ahead by first by 15 questions.

Hence, this is the required solution.

(x+2/3)=(2x-4/2)
what is x equal to?

Answers

x + 2/3 = 2x - 4/2
2/3 + 4/2 = 2x - x
2 + 2/3 = x
8/3 = x

I hope this helps!

Name a plane parallel to DBF.

Answers

Answer:

C.CAE

because those two planes never touch

2x-y=1
x-y=-2
......................................

Answers

Answer:

y=5 x=3

Step-by-step explanation:

x-y=-2 move the y over to isolate x

x=-2+y Now plug that in for x in the first equation

2(-2+y)-y=1 Distribute

-4+y=1 Add 4 on both sides

y=5

x-5=-2

x=3

A cable company charges $24.95 a month for basic service and $6.94 a month for each additional channel. If the Kelly’s monthly bill is $45.80, how many premium channels are they receiving?

Answers

Answer:

3 premium channels

Step-by-step explanation:

Answer:

he has 3 premium channels

Step-by-step explanation:

24.95+6.95x=45.80

6.95x=20.85

20.85/6.95

x=3

There are 48 members of the swim team. The ratio of boys to girls is 3:5. How many girls are on the swim tearn? Explain how you found your answer. ​

Answers

Answer:

There are 30 girls

Step-by-step explanation:

The ratio is 3:5 so (3)*(6)= 18 boys , and (5)*(6)=30

30+18=48 members

There were 30 girls in swim team.

We have,

Total Members = 48

Ratio of Boys to Girls= 3:5

So, the number of boys are

= 3/8 x 48

= 3 x 6

= 18

and, the number of girls

= 5/8 x 48

= 5 x 6

= 30

Thus, 30 girls were in swim team.

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ3

-3y+(1)/(5)=(2)/(3)x write in Ax+By=C

Answers

Answer:

2/3x + 3y = 1/5

Step-by-step explanation:

-3y + 1/5 = 2/3x (subtract 1/5)

-3y = 2/3x - 1/5 (subtract 2/3x)

-2/3x - 3y = -1/5 (divide by negative 1)

2/3x + 3y = 1/5

Hope this helps ya!!

The price P, in dollars, for a large pizza is P = 2n + 7, where n is the number of toppings on the pizza. How many toppings are on a pizza that costs $15?

Answers

Answer:

There are 4 toppings on a pizza that costs $15.

Step-by-step explanation:

To find the amount of toppings that are on a pizza that costs $15, you will need to consider that P=15, replace this value on the formula and then, solve for n that is the number of toppings on the pizza:

P=2n+7

15=2n+7

15-7=2n

n=8/2

n=4

According to this, the answer is that there are 4 toppings on a pizza that costs $15.

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