Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid).The building has a 64 × 64 m square base and is 36 m tall. The cut off section has a 16 × 16 m, square base and is 12 m tall. What is the volume of the buliding?

Answer:

5

Step-by-step explanation:

12 - 7 = 5

x= 5

.....................................

Answer: 57 boys

Step-by-step explanation: Lets break it down right

14th from the top with 10 girls in front which means 3 boys are in front and since there are twice as many girls as boys there are 60 girls and 30 boys so 3 boys are ahead which leaves 57 boys below him

Answer:

the first one

Step-by-step explanation:

Answer:

the speed is about 10 inches per minute

Step-by-step explanation:

Or you could say 1/6th Inch per second

Answer:

AE - 3, EB - 2, EC - 5

Step-by-step explanation:

Use the Pythagorean theorem and you'll find that these are the answers.

I'll answer problem 19

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Part (a)

The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.

So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.

We'll use the pythagorean theorem to find x

a^2 + b^2 = c^2

(AE)^2 + (AD)^2 = (DE)^2

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

Segment AE is 3 cm long

=======================================================

Part (b)

For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.

We found earlier that AE = 3 cm, so,

AE+EB = AB

3+EB = 5

EB = 5-3

EB = 2

Segment EB is 2 cm long

=======================================================

Part (c)

We know that AD = BC = 4 cm, because the opposite sides are the same length.

Earlier in part (b), we found that segment EB was 2 cm long.

Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.

a^2 + b^2 = c^2

(EB)^2 + (BC)^2 = (EC)^2

2^2 + 4^2 = y^2

4 + 16 = y^2

20 = y^2

y^2 = 20

y = sqrt(20)

y = sqrt(4*5)

y = sqrt(4)*sqrt(5)

y = 2*sqrt(5)

y = 4.4721359

As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.

As an approximate value, EC is roughly 4.4721359 cm long.

I would ask your teacher if you should use the exact or approximate value.

Answer: Please see explanation column for answer

Step-by-step explanation:

According to sequence   2, 6, 18, 54, 162

--we can see that it is a geometric sequence since to go from one term to the next requires us to  multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.

ie term 2/ term 1= 6/2 = 3

term 3/ term 2= 18/6= 3

term 4/ term 3= 54/28= 3

term 5 / term 4= 162/54=3

term 6 will therefore be 162 x3 = 486

and term 7 = 486 x 3=1,458 and so on

Recall that  nth term of GP is

Tn = ar^n-1

Where a= first term

r= common ratio

n= term

such that to easily find particular term, we  plug in the values and calculate

for example the 10th term of the above sequence

Tn = ar^n-1

= 2 X 3 ^(10-1)

2 X 3^9

T10 =39,366

Answer:

i dont know lol

Step-by-step explanation:

Answer:

15 g/L

Step-by-step explanation:

Since Brine is added to the tank containing 15g/L at a rate of 25 L/min, the rate at which the quantity of salt in the tank increases is 15 g/L × 25 L/min = 375 g/min. So, in t minutes, the mass of salt in the tank, m is 375 g/min × t min = 375t

Also, the volume of the tank increases by 25 L/min, in t minutes, its volume increases by 25 L/min × t min = 25t. So, the new volume, V is 3000 + 25t.

Since we know, concentration C(t) = m/V = 375t/(3000 + 25t)

dividing through by 25, we have

C(t) = 375t/25/(3000/25 + 25t/25)

C(t) = 15t/(120 + t)

To find the limit as t ⇒ ∞, we divide C(t) by t

C(t) = 15t/t/(120/t + 1)

C(t) = 15/(120/t + 1)

putting t = ∞, we have

C(∞) = 15/(120/∞ + 1)

C(∞) = 15/(0 + 1)

C(∞) = 15/1

C(∞) = 15 g/L

So, as t  t → [infinity], the concentration approaches 15 g/L

Answer:

garal 45 students to participate in tennis out of this it into an event other than running what percentage of the students do another event it is 45 - 18 and you will get a number and that answer you multiply it by hundred and divide 100 then it will give you an answer

Answer:

[tex]40\%[/tex]

[tex] \frac{18}{45} \times 100[/tex]

[tex] \frac{18}{9} \times 20[/tex]

[tex]2 \times 20[/tex]

[tex] = 40[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps \: you \: [/tex]

Answer:

=7.62

Step-by-step explanation:

Answer:

C= 20-3g

Step-by-step explanation:

Given data

Mr. Bolden bought g guppies at a pet store for $3.00 each

cost = 3g

We are also given that the money paid is $20

Therefore let the change be c

The expression for his change is

[tex]C= 20-3g[/tex]

Answer:

8 4/7

Step-by-step explanation:

the 4/7 is the fraction

Answer:

C. 33.3%

Step-by-step explanation:

Estimated time = 40 minutes

Actual time = 30 minutes

Percent of error = (estimated time - actual time) / actual time × 100

= (40 minutes - 30 minutes) / 30 minutes × 100

= 10 minutes / 30 minutes × 100

= 0.3333 × 100

= 33.3%

Percent of error = 33.3%

C. 33.3%

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Answer:

The solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

Step-by-step explanation:

Given the equation

[tex]6x-0.2x^2=0[/tex]

6x - 0.2x · x = 0

Factor out common term -x

-x (0.2x - 6) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:0.2x-6=0[/tex]

solving

[tex]0.2x-6=0[/tex]

Multiply both sides by 10

[tex]0.2x\cdot \:10-6\cdot \:10=0\cdot \:10[/tex]

Refine

[tex]2x-60=0[/tex]

Add 60 to  both sides

[tex]2x-60+60=0+60[/tex]

Simplify

[tex]2x=60[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{60}{2}[/tex]

Simplify

[tex]x=30[/tex]

Thus, the solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

Answer:

13cm

Step-by-step explanation:

29x2=58

84-58=26

26÷2=13

Answer:

B x=14

Step-by-step explanation:

fsjshfsrhzfhzhrsrhsrurhutjtsjtjttjstisyjsitsuy

Answer:

12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so..  144 + 1225 = 1369. SO 12 would fit!

Answer: yo we have a problem

Step-by-step explanation:

im in 10th grade and i cant answer this problem 0.0

Answer:

57

Step-by-step explanation:

(62+5-3)+(2-9)

(67-3)+(-7)

64-7

= 57

Answer:

5h+11

Step-by-step explanation:

You add the like terms so 1h+5h-1h= 5h. Then you just add 11 into the equation

Answer: x - 15 + 2y

Step-by-step explanation:

A Starbucks manager has x pounds of coffee in stock and then sells 15 pounds. The amount of pounds of coffee left will be:

= x - 15

He then receives a shipment weighing 2y pounds. This means that the weight of the coffee he has will then be:

= x - 15 + 2y

Answer:

Infinitely Many Solutions

Step-by-step explanation:

-3x+y=-9

3x-y=9

--------------

0=0

Answer:

((36 × 2 ÷ 3) - 12) × 2 = 24

Step-by-step explanation:

(36 × 2 ÷ 3 ÷ 12) - 2 = 0

((36 × 2 ÷ 3) - 12) × 2 = 24

Step-by-step explanation:

im learning this too and I dont get it at all but use A app called Math. way

Answer:

3 =x 5 = y

Step-by-step explanation:

Using statistics shown you can infer that -2y + 12 = x