A skyscraper is a rectangular prism with a height of 398 meters. The bases are squares with sides that are 62 meters. What is the surface area of the skyscraper?

Answers

Answer 1

Answer:

106,392 meters squared.

Step-by-step explanation:

Surface area of a rectangular prism or cuboid is given by:

SA = 2 (lw + wh + lh)

where:

· l is the length of the cuboid.

· w is the width of the cuboid.

· h is the length of the cuboid.

Here we have h = 398 m, l = w = 62 m because this is a square base.

So we get:

SA = 2 ( 398 · 62 + 62² + 398 · 62)

= 2 (24676 + 3844 + 24676)

= 2 · 53196

= 106392 m²


Related Questions

The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?

options:

19 days


2 years


11 days


52 days

Answers

Answer:

wait.

Step-by-step explanation:

what do u really mean by zombies

The movie theater sold 825 tickets to fill 3 theaters how many seats are in each theater

Answers

Answer:

275?

Step-by-step explanation:

I just divided it.. 825÷3

Answer:

The correct answer is 275 seats

Step-by-step explanation:

Since its 3 FULL theaters then we are gonna divide the number of tickets by the number of theaters which is 825÷3.

Do the math (or use a calculator) and your left with 275.

Hope this helps!

Help stuck on this question

Answers

Answer:

Find the slope of the original line and use the point-slope formula: y−y1=m(x−x1 )

to find the line parallel to -> y = 6/7 x −2.

A: y = 6/ 7x−7

I really need help with this question :)

Answers

Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

Only answer please please

Answers

Answer: D

Step-by-step explanation:

Answer:$22.50

Step-by-step explanation:

The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:

($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.

[Note how the units cancel, leaving just $]

what is the answer to
an=3-2(n-1)

Answers

All numbers greater or equal to 1

Using the quadratic formula, which of the following are the zeros of the quadratic equation below?
y=x²-x-5​

Answers

Answer: The answer is the option A.

x=(5±)/4

Step-by-step explanation: The quadratic formula has the following form for a quadratic equation ax²+bx+c:

x=(-b±))/(2a)

We apply the quadratic formula and we obtain:

x=(-(-5)±))/(2(2))

x=(-(-5)±))/(4)

x=(-(-5)±))/(4)

What is this answer?

Answers

Answer:

multiply

Step-by-step explanation:

just multiply all of them and then u will get your answer I hope this helped ❤

This is 8th-grade math please help

Answers

FOR NUMBER ONE 7.25/per jersey
shipping=$9.99

7.25x 20=$145.00
145+9.99
total is $154.99

Put the in order 7/16 1/2 3/8 9/32 5/16 15/32 ??? Put from greatest to least

Answers

1/2, 15/32, 7/16, 3/8, 5/16, 9/32 is the order from greatest to least
Least to greatest:
9/32, 5/16, 3/8, 7/16, 15/32, and 1/2

Can you pls help me??

Answers

Answer:

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

Step-by-step explanation:

use

a^2 +b^2=c^2

c² = a² + b²

c² = 3² + 1²

c² = 9 + 1

c² = 10

c = √10

I Need Help Please

Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km

Answers

Step-by-step explanation:

5 inches on the map correspond to 210 miles (or even a bit more) in reality.

we do know, the real length of the state is 213 miles.

and 8 inches to 410 (or a bit more) miles.

but, in fact, in reality, Kansas is indeed 410 miles long.

so, let's see first about the consistency of the scale factors (our ratios) in every direction.

5 inches / 210 miles = 1/42

8 inches / 410 miles = 4/205 = 1/51.25

so, in order to be a true map, both directions must have the same scale factor.

to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25

so,

A with the ratio 1/1 is wrong.

B wrong.

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

so, the scale ratio here is

1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54

still far off of the 1/51.25 ratio.

C with the ratio 1/10 is wrong.

D wrong

1 ft = 12 inches

the ratio is therefore

12/100 = 3/25 = 1/8.3333

still far off of the 1/51.25 ratio.

E would fit

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

200 km = 200/1.6

so, the scale ratio here is

1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =

= 1.6 / 508

still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.

F would fit.

the ratio is 1/100.

this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.

G would fit.

1 cm = 1/2.54 inches

1 km = 1/1.6 miles

1000 km = 1000/1.6

so, the scale ratio here is

1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =

= 1.6 / 2540

again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.

please answer i need help.

Given that AABC ADEF, find the length of side DF Show the equation and ALL algebra used to solve for the length of DE

Answers

Answer:

the length of side DF is 19

Step-by-step explanation:

you first need to find what x=

sides  AB=DF    AC=DE    BC=FE

so we can say that 3x+1=19

3x+1=19

-1        -1

3x=18

÷ by 3

x=6

then DF os 2x+7

so 2(6)+7

12+7=19

Helpppppp!!! I don’t understand this!

Answers

Answer:

from a to t

Step-by-step explanation:

a=64°

b=116°

c=116°

d=64°

e=108°

f=72°

g=108°

h=72°

i=108°

j=108°

k=72°

m=105°

n=79°

q=116°

s=75°

t=119°s

Jose has 4 times as many baseball cards as his brother. Together they have 40 baseball cards. How many baseball cards does Jose's brother have?

Answers

Answer:

Ummm..... I would think 10??

Step-by-step explanation:

I don't really know tho.....

Answer:

10

Step-by-step explanation:

4x = 40

/4       /4

x = 10

I need help plisss giving brainliest

Answers

Answer:

1) [tex]y=\frac{3}{2}x+8[/tex]

2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]

3)[tex]y=\frac{9}{7}x+1[/tex]

4)[tex]y=\frac{1}{3}x-2[/tex]

5)[tex]y=-\frac{6}{5}x-3[/tex]

6)[tex]y=4x-1[/tex]

7)[tex]y=\frac{11}{4}x-8[/tex]

8)[tex]y=\frac{11}{8}x+6[/tex]

Answer:

[tex]\sf 1) 3x-2y=-16[/tex]

subtract both sides by 3x:

[tex]\sf -2y=-16-3x[/tex]

[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]

[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]

________________

[tex]\sf 2) 13x-11y=-12[/tex]

Subtract 13x from both sides:

[tex]\sf 13x+11y-13x=-12-13x[/tex]

[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]

[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]

___________________

[tex]\sf 3) 9x-7y=-7[/tex]

Subtract 9x from both sides:

[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]

[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]

___________________

[tex]\sf 4)x-3y=6[/tex]

Add 3y from both sides:

[tex]\sf x-3y+3y=6+3y[/tex]

[tex]\sf x=6+3y[/tex]

Subtract 6 from both sides:

[tex]\sf x-6=3y[/tex]

Divide both sides by 3:

[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]

[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]

[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]

____________________

[tex]\sf 5) 6x+5y=-15[/tex]

Subtract 6x from both sides:

[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]

[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]

_____________________

[tex]\sf 6) 4x-y=1[/tex]

Subtract 4x from both sides:

[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]

[tex]\boxed {\sf y=4x-1}[/tex]

_______________________

[tex]\sf 7)11x-4y=32[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]

[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]

_______________________

[tex]\sf 8) 11x-8y=-48[/tex]

Subtract 11x from both sides:

[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]

[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]

________________________________

Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.

Answers

Answer:

[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]

m<DGI = 80°

[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]

The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.

What is a linear equation?

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The ray GI bisects ∠DGH.

It implies that the new angles are equal in measurement.

⇒ m∠DGI = m∠IGH

⇒ 3x - 9 = 2x + 21

⇒ x = 30

Then, in order to calculate m∠DGI, plug x = 30 in  3x - 9 as,

3 × 30 - 9 = 81

Hence, the measure of angle ∠DGI is given as 81°.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Find the equation of the line that goes
through the points:
(-1,4) and (-8,11)

Answers

See the picture above for the solution.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x-3)+2

A) infinite solutions

B) One

C) no solutions

Answers

Answer:

-7 = -7

a. infinite solution

Can y’all help me with this question

Answers

Answer:

I'm 100% sure it's 50.

Step-by-step explanation:

It will take 10 hours for the tank to become empty.

What is the justification for each step in the solution of the equation?

5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given
5x−4=2(2x−1) Choose...
5x−4=4x−2 Choose...
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose...
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The "/" Is for a fraction.

Answers

Answer:

5x-2=2x-1

5x-2x=-1+2

3x=1

3/3x=1/3

x=1/3 or 1.3333...

10. Determine if the equation x - y = 1 defines y as a function of x.

Answers

Answer:

No.

Step-by-step explanation:

First solve for y:-

x - y^4 = 1

y^4 = x - 1

y = +/- (x - 1)^(1/4)

This is a one-to-many relation . For a given value of y there  2 values of x.

So this is NOT a function.

please show the work but thanks !!!

Answers

please show work but thanks!

What is the slope of the line that passes through the points (−8,−1) and (−6,−2)? Write your answer in simplest form.

Answers

Answer:

m = -1/2

Step-by-step explanation:

Recall that slope = (change in y) / (change in x).

Going from  (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and

y decreases by 1.  Thus, the slope here is

m = (change in y) / (change in x) = (-1) / 2 = -1 / 2

m = -1/2

Help Pleasseeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

graph points (0,2) and (0.857,0)

Step-by-step explanation:

can i please have the brainliest

(1.4,1.6);m=3.1 equation of the line in point slope form​

Answers

Answer:

y-4=3.1(x-1)

or y-1.6=3.1(x-1.4)

Step-by-step explanation:

Answer:

y = 3.1x - 2.74

Step-by-step explanation:

y-intercept: 1.6 - (3.1)(1.4) = 1.6 - 4.34

= - 2.74

(a) It takes 32 pounds of seed to completely plant a 4-acre field. How many acres can be planted per pound of seed? Round to the nearest hundredth if necessary.​

Answers

Answer:

32/4

= 8

So 8 pounds for one acre

1/8 = 0.125 acres can be filled with one pound

3. The difference of two-thirds of a number x and
6 is at least -24. Which inequality represents all
possible values for x?

Answers

2/3x+ _< -24 then 2/3x _< -30 then 1/3x _< -15 so x >_ -45

The inequality that represents all possible values for x is  x ≥ -27.

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given statement can be written in terms of inequality as,

2/3x - 6 ≥ -24

=> 2/3x  ≥ -24 + 6

=> 2/3x  ≥ -18

=> x ≥ -27

Hence, the inequality expression for the given problem can be written as x ≥ -27.

To know more about linear inequality click on,

https://brainly.com/question/11897796

#SPJ2

If the spinner shown is spun 40 times,predict the number of times the spinner would land on section A. Give the number of times only

Answers

Picture is not stated. But given the text, I would say divide the # of section A / 40 = some number

how do i solve this??

Answers

Answer:

128º

Step-by-step explanation:

You just add the two angles together

<GFE=<KFE+<GFK

<GFE=100+28

<GFE=128

Other Questions
52 Where did Hugh Capet establish his capital of France?A MarseillesB OrleansC AvignonD Paris drawing district lines to advantage one party is known as IF YOU DO NOT ANSWER YOU WILL BE REPORTED! is it normal for heat to smell when first turned on How much is does 810 equal to? A car slows to a velocity of 20 m/s and weighs 20 kg. Does the car have momentum? If so, what is the momentum of the car? A department store sells shoes with an 70% markdown. If one pair of shoes is originally $148, then with the markdown, what is the new selling price for those shoes? 3 (1 2t) = 3t + 5 !! Two gasoline stations along an expressway have six gas pumps each. An experiment involves determining how many pumps are in use at a particular time for each station. Describe S by listing the elements. 1 1/3 of 15[tex]\frac{x}{y}[/tex] Social media has improved human Communitation debate Which expression is equivalent to :8.5p + 3.6q - (9.8q - 2.1p)A.10.6p - 6.2qB.6.4q - 6.2qC.1.3p - 1.5qD.1.3p + 5.7q given the right triangle ABC with the altitude BD drawn to hypotenuse. please help asap ive failed this so many times Which of the following are correct ways of providing evidence to support the theis of research paper cAs he thought about the hieroglyphs in Thothmes' and Ramesses' names, Champollion realized their significance. It went far beyond the names themselves and gave him an insight into the entire system of hieroglyphic writing. For the names revealed that hieroglyphs were not simply representations of sounds. Nor did they have an exclusively symbolic meaning, as Thomas Young and other scholars had long believed. Instead, they were a combination of the two.The Riddle of the Rosetta Stone,James Cross GiblinWhich line from the passage shows the big-picture conclusion?hieroglyphs in Thothmes and Ramesses namesNor did they have an exclusively symbolic meaningthey were a combination of the twohieroglyphs were not simply representations of sounds Sheila has investments totaling $8000 in twoaccounts. The savings account pays 6% interest and theother account is in bonds paying an interest rate of11%. If the annual interest from the two investmentstotaled $780, how much did she invest in each account? based on the map, what conclusion can you draw about ancient civilizations Solve pls brainliest Which statement is true about water molecules?A) The hydrogen atoms do not share electrons.B) Water molecules cannot dissolve many substances.C) The oxygen atom has a negative charge.D) Water molecules move randomly around each other. What are the data type(s) will be used to declare the variable(s) needed tocreate the algorithm?*1.. integer only2.. real only3..integer and real4..real and string