Box A has a surface area of 98 in 2. If box B is 4 times the size of box A, what is the surface area of box B?

Answers

Answer 1

Given:

Box A has a surface area of 98 in².

Box B is 4 times the size of box A.

To find:

The surface area of box B.

Solution:

Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.

We know that the areas of similar figures are proportional to the square of their corresponding sides.

[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]

Using cross multiplication, we get

[tex]98\times 16=1\times A_B[/tex]

[tex]1568=A_B[/tex]

Therefore, the surface area of box B is 1568 in².


Related Questions

ASAP i need help!!
A movie-theater employee notes an inverse relationship between the theater's popcorn sales
and its nacho sales. On a given night, the theater makes 990 from popcorn sales and
$1,892 from nacho sales. If on the next night the employees sell $1,452 of popcorn, how
much is earned from nachos?

Answers

Answer:

Nachos sale on next night = $ 2,776/-

Step-by-step explanation:

Data:-

On a given night theatre makes:

Popcorn sale = $990/-

Nacho Sales = $1,892/-

Next night Theatre makes:

Popcorn sale = $1,452/-

Nacho Sales = x (Let Assume)

Solution:

Given Night = Next Night

Popcorn sale/Nacho sale = Popcorn sale/Nacho sale

990 / 1,892 = 1,452 / x

0.523 = 1,452 / x

x = 1452 / 0.523

x = $2,776/-

3. On Wednesday, a sudden snowfall delayed school busses and caused
12 of Ms. Jackson's 25 students to arrive late to class. What percent of
students made it on time? *

Answers

60% of students made it on time

fruits are packed in boxes each weighing 2 kg 500 g .how many such boxes can be n loaded kn a van.which can not carry beyond 250kg?​

Answers

Answer:

18

Step-by-step explanation:

Just divided

Please Brainliest me

HELP PLEASE JJFFNFNFNF

Answers

Answer:

A.

17 vs 18, not true

B.

True

C.

Mean:

(4*5 + 5*3 + 6*2 + 12 + 13*4 + 14*2)/17 = 8.17

Median:

6

Mean ≠ median, not true

D.

14 - 4 = 109 - 3 = 6, 10 > 6, not true

Answer:

B

Step-by-step explanation:

Option B is correct because from the data it's visible that all the data are around 6 miles in other words clustered. In Class A half of them are on left and half are on right. Option A is wrong because there are 17 students in class A and 18 students in class B.

Option C is wrong because the mean is 8.2 and the median is 6.

To find mean add up all the miles the students chose and divide by total students (4+4+4+4+4+5+5+5+6+6+12+13+13+13+13+14+14)/17 = 8.2

To find the median line up all the numbers and find the one in middle. It's 6.

Option D is wrong because the range for class A is (14-4)=10

and class B is (9-3)=6. So the range of class A is greater than class B.

To find range maximum value-minimum value

8. Each week, Mrs. Stafford picks a runner from her homeroom to run errands. In
order to remain unbiased in her selection, she flips a coin to determine if the
runner will be a boy or a girl. She assigns heads to girls and tails to boys.
Based on this procedure, what is the probability of selecting a boy? *

Answers

Answer:

That's alot of words, kinda hard to understand

What is the similarity?

Answers

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2

Luke has a board 5
6
of a yard long. He needs to cut the board into 5 equal sections.

Use the expression
to find the length of each section.
Each section is
yard long.

Answers

Answer:

1/6 of a yard

Step-by-step explanation:

Length of the board = 5/6 yard

He needs to cut the board into 5 equal sections.

Length of each section = length of the board ÷ number of sections

= 5/6 ÷ 5

= 5/6 × 1/5

= (5*1)/(6*5)

= 5/30

= 1/6

Length of each section = 1/6 of a yard

What is the area of KDL to the nearest tenth of a square inch? Use special right triangles to help find the height. Show
your work

Answers

Answer:

8

Step-by-step explanation:

This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)

We will let x equal the length of one of the sides

we have

x²+x²=(4√2)²

2x²=32

x²=16

x=4

this means that the length of the two missing sides are 4

Now using the area of a traingle formula we can solve for the area

A=.5*b*h

.5*4*4=8

.5*4*4

I play a gambling game in which I will win different amounts of money with different likelihood's. Suppose that I win X dollars with a probability of P(X) (if C is negative I am losing money). The distribution is as follows: what is the appropriate value of P?

Answers

Answer:

[tex]p = 0.05[/tex]

Step-by-step explanation:

Given

See attachment for the distribution

Required

Find p

To find p, we make use of:

[tex]\sum P(x) = 1[/tex]

So, we have:

[tex]0.50 + 0.25 + 0.13 + 0.07 + p = 1[/tex]

[tex]0.95 + p = 1[/tex]

Make p the subject

[tex]p = 1 - 0.95[/tex]

[tex]p = 0.05[/tex]

Harvey owes $32,850 in student loans. He has $1,380 in his bank account and a car worth $6,850.-
still owes $2,080 on the car. He also has $4,300 worth of investment funds and $1,040 of credit car
debt. What is his net worth?
A-532,040
B -$23,440
C $33,660
D$42,260

Answers

Answer:

b

Step-by-step explanation:

he will be negatives because he has very little money

I need help my mind don’t proses right.! f(x) = x2. What is g(x)?

Answers

Answer:

hey will you join in zo om if your intrested

A car is on a Ferris wheel with a radius of 20 feet. How far does the car travel over an angle of 2π3 radians? The car travels the distance of feet.

Answers

Answer: 21 feet, I think the first guy was wrong

NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >

Answers

It is < hope it help also 5/3

Answer:

y < 4/3x - 2

Step-by-step explanation:

Another way to find slope is to subtract  [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.

We subtract the y-value 2 from -6.

2 - - 6 can also be taken as 2 + 6.

2 + 6 = 8.

Then, subtract the x-values.

Subtract 3 - -3, or 3 +3.

3 + 3 = 6.

Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].

Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)

The shading is on the left side and the line is dotted, so our sign is <.

The inequality is y < 4/3x -2.

plz help asap
click it to make it big

Answers

Answer:

d no association

Step-by-step explanation:

pls help me my homework is due in a couple hours

Answers

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

A (5, 3), B (2, 1), and C (-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?

1. A'(5, -3), B'(2, -1), C'(-2, -4)
2. A'(-5, 3), B'(-2, 1), C'(-2, 4)
3. A'(-5, 3), B'(-2, 1), C'(2, 4)
4. A'(-5, -3), B'(-2, -1), C'(2, -4)

Answers

Answer:

1 is the answer

Step-by-step explanation:

When coordinates are reflected over the x axis, the x coordinates stay the same but the y coordinates becomes either negative, if they were positive, or positive, if they had orginally been negative.

If this doesn't make sense i'l try to rephrase it, hope it helps though :)

I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue


It's Homework #1: Odds

Answers

Answer:

1/2 ; 7/10

Step-by-step explanation:

1) we have ten letters A, E, I, O, U are five letters, so the odd can be expressed with the fraction 5/10, that can be simplified in 1/2

2) we have 7 non black parts in a total of ten parts, so the odd is 7/10  

find the area of the figure drawn on the coordinate plane below​

Answers

Answer:

-24

Step-by-step explanation:

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 55% with a standard deviation of 4%. The correct value of t* to construct a 90% confidence interval for the true mean % cacao is ________.

Answers

Answer:

t-value = 1.690

Step-by-step explanation:

We are given;

Sample size; n = 36

DF = n - 1

DF = 36 - 1

DF = 35

Confidence level = 90%

However, from the first table I attached, we see that the critical significance level of a 90% Confidence level is 0.05

Thus, in the second table, looking at a DF of 35 and significance level of 0.05, we have a critical t-value = 1.690

What is 1+1=
I will give brainlist

Answers

Answer:

5

Step-by-step explanation:

Triangle PRT - status, TS - its higher. Based on the data in the drawing, calculate the length of the altitude drawn from the vertex R to the extreme PT.

Answers

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What are the mean and standard deviation of the number of universal donors among the 6 people? b) What is the probability that there are exactly three universal donors?

Answers

Answer:

[tex]Mean = 0.36[/tex]

[tex]SD = 0.5817[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

[tex]P(A) = 0.06[/tex]

[tex]n = 6[/tex]

Solving (a): Mean and Standard deviation.

The mean is:

[tex]Mean = np[/tex]

[tex]Mean = 6 * 0.06[/tex]

[tex]Mean = 0.36[/tex]

The standard deviation is:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]

[tex]SD = \sqrt{0.3384}[/tex]

[tex]SD = 0.5817[/tex]

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]

So, we have:

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 0.003588[/tex]

Find the area. Round to the nearest tenth.

Answers

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

Please help me with this​

Answers

Answer:

Its B

Step-by-step explanation:

which equation represents a line passing through the points 4,0 and 0,3

3x + 4y = 12
4x + 3y = 12
4x - 3y = 12
3x - 4y = 12

show work plz

Answers

3x + 4y =12 will be the answer

Voltage (V), varies directly with resistance (R) in a circuit. If the voltage is 150 volts when the resistance is 480 ohms, find the voltage when the resistance is 200 ohms.

Answers

62.5 v I think but I’m not sure

solve the equation to find the value of x:

2x=5

Answers

Answer = 2.5
5 divided by 2 is 2.5

Please don't give me a FILE
PLEASE HELPPP ILL GIVE 15 POINTS AND BRAINLIST

Answers

Answer:

3/2

Step-by-step explanation:

My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.

Therefore 6=2y+3

2y=6-3

2y=3

y=1.5 or 1and a half which is equivalent to 3/2

Multiply polynomials

Answers

Step-by-step explanation:

[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]

hope it helps

[tex] \huge \frak \green{question}[/tex]

Multiply the polynomials :-

x² ( 5x³ - 2x³ + 15)

[tex] \huge \frak \green{solution}[/tex]

→ x² ( 5x³ - 2x³ + 15)

→ x² × (3x³ + 15)

→ 3x² + 15x²

This can be further solved as :-

3x² + 15x²

→ 18x²

[tex] \huge \frak \red{answer}[/tex]

18x²

Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts

Side note: Please don’t waste my time I have stuff to do

Answers

Answer:

Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.

The federal government won't require everyone to get vaccinated.

The federal government also won't required everyone in america to carry a passport.

New York recently because the first state to have a cov id passport.

Florida banned the co vid passport.

Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!

Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.

Heinz makes more ketchup than anyone

12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.

astronauts had a lot of ketchup in space

1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.

Step-by-step explanation:

Hope this helps! Plz mark as brainliest!

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