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2 years ago

URGENT

Mathematics

1 answer:

Zepler [3.9K]2 years ago

4 0

Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere (V) = 4/3 π radius³

Replacing with the values given and solving for V (volume)

V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters

The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Feel free to ask for more if needed or if you did not understand something.

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Write in standard form (×+4)(×-5)=4 find the value of a,b,c

Alex17521 [72]

Answer:

$x^{2}$ - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = $x^{2}$ - 5x

4(x - 5) = 4x - 20

$x^{2}$ - 5x + 4x - 20 = 4

$x^{2}$ - x - 20 = 4

$x^{2}$ - x - 20 - 4 = 0

$x^{2}$ - x - 24 = 0

a = 1

b = 1

c = -24

4 0

3 years ago

Estimate the area of Alberta in square miles. Show your reasoning

ella [17]

Answer: About $278,250\ mi^2$

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid can be calcualted with the formula:

$A_t=\frac{h}{2}(B+b)$

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

$A_r=lw$

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

$A=\frac{h}{2}(B+b)+lw$

Substituting vallues, you get:

$A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2$

Therefore, the area of of Alberta is about $278,250\ mi^2$ .

5 0

3 years ago

If the rate of inflation is 3.7% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following

larisa86 [58]

Answer:

50000000

Step-by-step explanation:

8 0

2 years ago

What is the slope of the line shown in the graph? <br> A.-3/2<br> B.-1/2<br> C.3/2

Varvara68 [4.7K]

I think answer is A
Because slope=rise/run
Rise is 3
Run is 2
But it will be negative because of the direction of slope

6 0

3 years ago

The houck family's train traveled 552 miles in 6 hours. The Roberts family traveled at 744 miles in 8 hours which family is trav

rusak2 [61]

Answer: Both families were travelling at the same speed/rate of 1mile/0.65mins or 1mile/0.01hr.

Step-by-step explanation: Speed of Houck family's train = 552m/6hrs

speed of Robert family's train = 744m/8hrs.

Therefore considering Houck speed,

552miles = 6hours

1mile = (6 x 60)/552

= 360/552

= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr

For Robert

744miles = 8hours

1mile = ( 8 x 60 )/744

= (480/744)minutes

= 0.645

= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr

Conclusion: Both families were travelling at the same speed/rate.

To get that minutes in hour, just divide by 60 to get concert to hours.

6 0

3 years ago