Two similar pyramids have base edges 3 and 5. Find the following (use a colon between the numbers):

a) the ratio between their altitudes =

b) the ratio between their base areas =

c) the ratio between their lateral edges =

d) the ratio between their volumes =

e) the ratio between their lateral areas =

Answer:

A    4^15 * 5^10

Step-by-step explanation:

When moving to the other side of a fration the exponent changes sign

4^3 / 5^-2 = 4^3 * 5^2

When taking an exponent to anexponet, multiply the exponents

(4^3 * 5^2)^5 = 4^15 * 5^10

Answer A

Answer:

3 x 36 = 108 (square prism's volume)

3 x 9 = 27, 27 divided by 2 ( x 1/2) = 13.5, 13.5 x 4 = 54

2 x 18 x 3 = 108

6 x 3 = 18, 18 x 2 = 32

Your answer is b, because it has the volume of 108 which matches the square prism's volume.

Answer:

m∠3 = 73°

Step-by-step explanation:

Vertical angles are equivalent in measure. Complement angles add up to 90°, so subtract 17° from 90° to get your answer.

Answer:

2/4 cup

Step-by-step explanation:

Unsweetened cocoa powder needed = 3/4 cup

Unsweetened cocoa powder borrowed = 1/4 cup

how much of his own cocoa powder did he have?

Let

x = Unsweetened cocoa powder Mr kacanich has

Unsweetened cocoa powder needed = Unsweetened cocoa powder Mr kacanich has + Unsweetened cocoa powder borrowed

3/4 = x + 1/4

Subtract 1/4 from both sides

3/4 - 1/4 = x + 1/4 - 1/4

3/4 - 1/4 = x

x = (3-1)/4

x = 2/4 cup

Answer:

c

Step-by-step explanation:

distance between town X and Z = 57 MILES

distance between y and z = 28 miles

distance from x to y = 57 - 28 = 29 miles

please check the attached image for a diagram that would help better understand the question

Answer:

18 times

Step-by-step explanation:

Number of even numbers on spinner = 3

Total number of sections on spinner = 8

Probability of obtaining an even number on one spin = 3/8

Number of times an even number can be obtained from 48 spins = 3/8 * 48 = 18 times

Answer:

x = 27.6907 units

Step-by-step explanation:

cos (62) = 13/x

x cos (62) =13

13 / cos(62)=x

x is 27.6907 units

Answer:

Screenshot of graph image.

Step-by-step explanation:

Correction to the previous answer. You need to graph the line.

Extra Information:

The Linear Equation Is [tex]y=\frac{2}{3} x+-4[/tex]

The Slope Is [tex]\frac{2}{3}[/tex]

The Y Intercept Is -4

Answer:

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Step-by-step explanation:

La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo

cos α   (  α  angulo que forma la escalera con el piso )

cos α =   x / L

Tomando derivadas con respecto al tiempo (L es constante ) se tiene:

- sen α  *  dα / dt   =  dx/ dt / L

Cuando  el extremo superior de la escalera está a 18 pies del piso, entonces  sen α  =  18 / 30  =  0.6

dx/dt = 1/2 pie/sec

dα/dt  = - (1/2)/ L* 0.6

dα /dt  = -  0.5 / 18

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Answer:

40percent

Step-by-step explanation:

30-12-6 is 12

12/30 times 100 is 40

Answer:

16.8 cups

Step-by-step explanation:

3.5 percent of 30 gallons

Answer:

18 is the answer

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Answer:

10

Step-by-step explanation:

2x2=4

1x2=2

2x2=4

4+2+4=10

write this down if u need to show work

Answer:

148.5 in^2

Step-by-step explanation:

First, get the area of the rectangle

A = 15*12

A = 180

Now the area of the triangle, with the base at 3.5

A = h b/2

A = 9 * 3.5/2

A = 15.75

Since you have 2 halves, add them together., 31.5

Substract 31.5 from 180

Answer:

180 in

Step-by-step explanation:

Because if you multiply 15×12 it gives you 180

Step-by-step explanation:

Here batting average is 17.9% = 0.179

In baseball, a batting average is the probability of the number of hits divided by the number of t... do the rest

Answer:

42cm^3

Step-by-step explanation:

Given data

Area of base= 14 square centimeters,

Height= 3 centimeters

Volume = Area* Height

Volume= 14*3

Volume= 42 cm^3

Hence the volume of the prism is 42cm^3

Answer:

Length of shortcut  = 15 km

Step-by-step explanation:

Given that;

Length of shortcut is equal to square root of the sum of the squares of the other two sides.

So,

We can find length of shortcut.

Assume:

Length of other two side area 12 km and 13 km

So,

H = √P² + B²

Length of shortcut  = √12² + 13²

Length of shortcut  = √144 + 169

Length of shortcut  = √225

Length of shortcut  = 15 km

Answer:

2. xy is odd

Step-by-step explanation:

We can represent the two odd numbers as 2a + 1(x) and 2b + 1(y).

1. x + y is odd

We can add x + y:

2a + 1 + 2b + 1

2a + 2b + 2

From this, we can factor out 2:

2(a + b + 2)

Since 2 is a factor, the number x + y cannot be odd.

2. xy is odd:

We can multiply x and y:

(2a + 1)(2b + 1)

4ab + 2a + 2b + 1

From the first three terms, we can factor out 2:

2(2ab + a + b) + 1

We can say that 2(2ab + a + b) is an even number because it has a factor of 2. We are adding one to it, and one added to any even number is odd, so xy is odd.

We do not need to calculate further because we have already found an answer.

Answer:

I don't know

Step-by-step explanation:

Sorry

Answer:

Just at a glance I'm pretty sure it would be B.

Answer:

-5

Step-by-step explanation:

x=-3-2

x=-5

+2 GOES ON RIGHT AND IT BECOMES -2 And then -×-is=+but 3 is greater so the sign becomes-

Answer:

You would receive $13.75

Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

I hope this helps and makes sense to you. Please mark brainlist!

Step-by-step explanation:

Answer:

You would receive $13.75

Step-by-step explanation:

What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

Hope u understand

Please mark brainliest

Thank You

Answer:

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

These are corresponding so they are congruent.

Your equation is: 14x-4=12x+12

x=8

Step-by-step explanation:

these numbers are corresponding angle to each other

so =>14x–4=12x+12

14x–4=12x+12collect like terms

=>14x–12x=12+4

=>2x=16 divide both side by 2 you get

=>x=8

9514 1404 393

Answer:

  ₹ 30000

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . . principal P invested at rate r for t years

Fill in the values you know, and solve for the one you don't know.

  9000 = P(0.06)(5)

  9000/0.30 = P = 30000

The principal that will give ₹9000 in interest is ₹30000.

A =?

P= 9000

t = 5 yrs

r = 6% = 0.06

A = p(1+r)^t

A = 9000(1+0.06)⁵

A = 9000× 1.338

A = 12044 Rs.