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3 years ago

Find the volume of the given figure. Round to the nearest tenth. *

Mathematics

1 answer:

QveST [7]3 years ago

5 0

Answer:

175.3 mm^3.

Step-by-step explanation:

Volume = pi r^2 h

= pi * 3^2 * 6.2

= 175.3 mm^3.

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Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50

kaheart [24]

Answer: The inequality required to express the above condition is x ≥ 18.75

Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

x ≥ ⇒ x ≥ ⇒ x ≥ 18.75

Therefore the inequality required to express the above condition is

x ≥ 18.75

8 0

3 years ago

The table shows the distances traveled by a paper airplane.

BabaBlast [244]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value

algol [13]

Answer:

Minimum value of function $C=x+10y$ is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

$C=x+10y$

Subject to constraints:

$x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0$

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering $x+y\geq 9$ , corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

$C=x+10y$

at A(0,9)

$C=0+10(9)\\C=90$

at B(3,9)

$C=3+10(9)\\C=93$

at C(3,6)

$C=3+10(6)\\C=63$

Minimum value of function $C=x+10y$ is 63 occurs at point C (3,6).

3 0

3 years ago

If x= 19 feet and y = 12 feet, what is the area and perimeter of the figure above?

Delicious77 [7]

All we need to do to solve this problem is calculate the area of a rectangle and the area of a circle, then add them!

____________________________

First, let's do the rectangle!

Area of a rectangle = length x width

or in this case... Area = "x" times "y"

Area = 19 × 12 = 228 square feet!

________________________________

Now, let's do the circle!

Area of a circle = πr² ... (r = radius)

* In this diagram, the diameter of the circle is also the same length as "y"!

* And remember that radius is half of the diameter.

radius = 6

Now, let's actually calculate the area

Area = π(6)² ⇒ 36π

Area = 113.1 (I rounded up the decimals!)

_______________________________________

*But wait! Look at the figure! It looks like HALF of the circle's area was included when we calculated the area of the rectangle! This means that we should divide the area of the circle (that we just calculated) in half!

Area of the HALF CIRCLE = 113.1 ÷ 2 = 56.5

Now let's add the area of the rectangle to the area of the half-circle to find the area of THE ENTIRE FIGURE!

228 + 56.5 = 284.5

284.5 square feet is our answer!

6 0

2 years ago

Show your work: (please dont answer with a link)

baherus [9]

Answer:

3) 8

4) 5.25 cups

Step-by-step explanation:

3) cross multiply:

36 × 10 = 360

45 × x = 45x

equate them both:

360 = 45x

divide both sides by 45

360 ÷ 45 = 8

x = 8

4) 8 people : 3 cups of flour

14 people : how many cups?

14 ÷ 8 = 1.75

to get from 8 people to 14 people we multiply by 1.75, so do the same thing to the 3 cups:

3 × 1.75 = 5.25 cups

5 0

2 years ago