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2 years ago

Write a similarly comparing the three triangles in the diagram

Mathematics

1 answer:

Mariulka [41]2 years ago

3 0

Answer:

ΔBCE similar to ΔECD similar toΔBED

Step-by-step explanation:

ΔBCE similar to ΔECD similar toΔBED

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What is the surface area of a sphere that has a radius of 5 units? Use 3.14 for π. A. 254 units2 B. 300 units2 C. 314 units2 D.

VladimirAG [237]

Answer:

C. 314 units2

Step-by-step explanation:

Sphere Formula:

SA=4πr²

SA= 4×3.14×5²= 314 units2

3 0

2 years ago

Read 2 more answers

V=4/3? r^2 Suppose that, for the sphere in the video, instead of being told how fast the radius is changing, we're told that the

grigory [225]

Answer:

$\frac{dr}{dt}=0.01$ cm per second

$\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3$

Volume of sphere is increasing at a constant rate

$\frac{dV}{dt}=4$ cubic centimeters per second

We have to find the rate of radius at which increasing

when r= 10 cm

Differentiating w.r.t time

$\frac{dV}{dt}=\frac{4}{3}\pi\cdot3r^2\frac{dr}{dt}$

$4=4 r^2\frac{dr}{dt}$

$\frac{dr}{dt}= \frac{1}{r^2}=\frac}{1}{(10)^2}=0.01$ cm per second

Now ,we are given that surface area of sphere

$S=4\pir^2$

Differentiate w.r.t time then we get

$\frac{dS}[dt}=8\pir\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi\times 20\times 2$

$\frac{dS}{dt}=320$ cm per second

5 0

3 years ago

Two fuel tanks with the dimensions shown have the same volume. What is the value of h?

Luda [366]

(See attached picture for the diagram of both fuel tanks)

Answer:

2ft

Step-by-step Explanation:

==> Given:

Two cylindrical fuel tanks, one has a radius of 3ft, and height of 8ft, the second tank has a radius of 6ft and unknown height.

Also, volume of 1st tank = volume of 2nd tank

==> Required:

Find h = unknown height of the the 2nd tank.

=>Solution:

To find the height of the 2nd tank = h, we need to know the volume. Thus, volume of first tank = volume of 2nd tank.

Since the dimensions of the 1st tank are all given, let's find its volume.

Thus, volume of 1st tank using the formula V = πr²h (where π = 3.14, r = 3ft, h = 8ft)

V = 3.14*3²*8

= 3.14*9*8 = 226.08 ft³

Volume of first tank = volume of 2nd tank = 226.08 ft³

=> Let's find the height of the 2nd tank with same volume of 226.08ft³

Therefore, V = πr²h (V = 226.08, r = 6ft, h = ?)

226.08 = 3.14*6²*h

226.08 = 3.14*36*h

226.08 = 113.04*h

226.08/113.04 = h

2 = h

Height of the second fuel tank (h) = 2ft

7 0

2 years ago

PLEASE HELP!! WHAT IS THE SLOPE OF THE GRAPH SHOWN BELOW.

Taya2010 [7]

Try this explanation:
the equation which corresponds to the given graph is y=-5x-2.
Using this equation the slope of the graph is (-5).

answer: C.

7 0

3 years ago

Read 2 more answers

A theater charges $5.00 admission for adults and $2.50 for children. At one showing 240 admissions brought a total of $800. How

SOVA2 [1]

Answer:

Step-by-step explanation:

Let the number of adults be x

Let the number of children be y

This means that the money paid by adults and kids is $5 multiplied by x (5x) and $2.50 multiplied by y (2.5y)

This will give two equations as shown below

x + y = 240 total admissions......................... equation 1

5x + 2.5y = 800 total money paid..................equation 2

Making x the subject of formula in equation 1

x=240-y......................................................equation 3

Substituting equation 3 into equation 2

5(240-y) + 2.5y = 800 removing the brackets

1200 - 5y + 2.5y = 800 grouping like terms

-5y + 2.5y = 800-1200 simplifying

-2.5y = -400 therefore

-2.5y/-2.5 = -400/-2.5

y = 160

Substituting y into equation 3

x = 240 - y

x = 240 - 160

x = 80

Hence number of adults who attended = 80

8 0

2 years ago