MATHEMATICS MIDDLE SCHOOL

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth. A cylinder and 2 half spheres. All have a radius of 5 millimeters. The cylinder has a height of 10 millimeters. Recall the formulas V = B h and V = four-thirds pi r cubed 376.80 cubic millimeters 847.80 cubic millimeters 1,177.50 cubic millimeters 1,308.33 cubic millimeters

Answers

Answer 1

Answer:

Answer:

$1308.33 {mm}^(3)$

Step-by-step explanation:

The volume of the composite shape is given by:

Volume of cylinder +volume of two spheres.

The volume of cylinder

$= \pi \: {r}^(2) h$

We substitute r=5mm and h=10mm

The volume cylinder becomes

$= \pi \: * {5}^(2) * 10 \n = 250\pi$

$= 250 * 3.14 \n = 785 {mm}^(3)$

The volume of the two hemispheres

$= (4)/(3) \pi {r}^(3)$

We substitute the radius to get:

$= (4)/(3) * \pi * {5}^(3) \n = 523.33 {mm}^(3)$

We add the two volumes to get:

$= 785 + 523.33 = 1308.33 {mm}^(3)$

Answer 2

Answer:

Answer:

the answer is c

Step-by-step explanation:

I just took the test

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Find the equivalent expression using the same bases (97*59)^9

Answers

Answer:

Exact form : 5723^9

Decimal form : 6.58587848 • 10^33

Step-by-step explanation: Evaluate.

Hope this helps you out! ☺

How much lower is -31 than 2,868?

Answers

Answer:

2,837 lower.

Step-by-step explanation:

Answer:

2899

Step-by-step explanation:

#!$!$;+#+#+##+*(9*9"98@)@)@

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3 Which of the following functions best represents the graph? a f(x) = x3 + x2 − 9x − 9
b f(x) = x3 + 4x2 − x − 4
c f(x) = x3 + 3x2 − 3x − 9
d f(x) = x3 + 2x2 − 4x − 8

Answers

Answer:

Option A is correct .i.e, f(x) = x³ + x² - 9x - 9 represent the graph best.

Step-by-step explanation:

Given: x-intercepts of cubic polynomial are -3 , -1 and 2

To find the cubic polynomial, f(x)

We know the x-intercept of cubic polynomial are the zeroes of the polynomials.

So the factors of cubic polynomials we get from zeroes are ( x + 3 ) , ( x + 1 ) and ( x - 3 )

Cubic polynomial , f(x) = ( x + 3 ) ( x + 1 ) ( x - 3 )

= ( x + 3 ) ( x - 3 ) ( x + 1 )

(using identity: (a-b) (a+b) = a² - b²)

= ( x² - 9 ) ( x + 1 )

= x² ( x + 1 ) - 9 ( x + 1 )

= x³ + x² - 9x - 9

Therefore, Option A is correct .i.e, f(x) = x³ + x² - 9x - 9 represent the graph best.

The correct answer is Choice A.

If you graph the function on a graphing calculator, you will find that it matches all of the necessary parts. If falls to the left and rises to the right.

It also has zeros at -3, -1 and 3.

You increase the size of a page by 30%. Then you decrease it by 30%. What is the size of the page now?

Answers

Lets use 1 to solve this problem because it is easiest to show.

Multiply 1 by 1.3 for a 30% increase (1*1.3=1.3).

Then multiply 1.3 by .7 for a 30% decrease. (1.3*.7=.91)

Therefore the page had a 9% reduction from its original size or is 91% of its original size.

Answer:

Smaller the size you started with

Step-by-step explanation:

Because for example 100 times .30 is 30 100+30=130 and 130 times .30 is 39 100-39=91. 100 > 91

Help me out here please