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3 years ago

Question 9 (Worth 1 points)

Mathematics

2 answers:

kipiarov [429]3 years ago

8 0

Answer:

simple put is 5.

Step-by-step explanation:

took it on edge

omeli [17]3 years ago

3 0

Answer:

Step-by-step explanation:

The area is half the product of base and height, so that product must be 2×9=18. Since the base is 6, the height must be 18/6 = 3. Two points on line x=-3 are 3 units from y=2. One of them is y=-1; the other is y=5.

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Which of the following are exterior angles? Check all that apply.

Naily [24]

Answer:

Exterior angles are <4 and <6

Step-by-step explanation:

From the figure we can see a triangle and its some exterior angles.

Exterior angles means that angles on the out side.

<u>To find the exterior angles </u>

From the figure we get exterior angles are,

<4 and <6

All the other angles <1, <3 and <5 are inside the triangle.

Therefore the correct answer is,

exterior angles are <4 and <6

4 0

3 years ago

Forty square inches of material is available to make a cylindrical; can of tuna and water. What dimensions of the can will give

krek1111 [17]

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Step-by-step explanation:

Let us revise the rule of surface area and volume of a cylinder

S.A = 2π r h + 2π r²
V = π r² h

Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume

∵ S.A = 40 inches²

∵ S.A = 2π r h + 2π r²

∴ 2π r h + 2π r² = 40

Let us use this rule to find h in terms of r

- Subtract 2π r² from both sides

∵ 2π r h = 40 - 2 π r²

- Divide both sides by 2π r

∴ $h=\frac{40-2\pi r^{2}}{2\pi r}$

∴ $h=\frac{40}{2\pi r}-\frac{2\pi r^{2}}{2\pi r}$

∴ $h=\frac{20}{\pi r}-r$

∵ V = π r² h

- Substitute h by its value above

∴ $V=\pi r^{2}(\frac{20}{\pi r}-r)$

∴ V = 20 r - π r³

To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r

∵ $\frac{dV}{dr}$ = 20 - 3π r²

∵ $\frac{dV}{dr}$ = 0

∴ 20 - 3π r² = 0

- Add 3π r² to both sides

∴ 20 = 3π r²

- Divide both sides by 3π

∴ r² = 2.122

- Take √ for both sides

∴ r = 1.457 inches

To find h substitute the value of r in the expression of h

∵ $h=\frac{20}{\pi r}-r$

∴ $h=\frac{20}{\pi (1.457)}-(1.457)$

∴ h = 2.913 inches

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Learn more:

You can learn more about volume of solids in brainly.com/question/6443737

#LearnwithBrainly

3 0

3 years ago

Find the least common multiple of 4,8, and 12

Nookie1986 [14]

Answer:

Step-by-step explanation:

5 0

3 years ago

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What is 2/3 times 6 times 9/10, with steps?

Phantasy [73]

Answer:

3.6

Step-by-step explanation:

3 0

3 years ago

A rectangular prism has a length of 8 inches a width of 4 inches and a height of 2 1/4 inches. The prism is filled with cubes th

Sedaia [141]

-------------------------------------------------------------------------------------
Number of 1/4 inches cubes length-wise:
-------------------------------------------------------------------------------------
$4 \div \dfrac{1}{4}$

$=4 \times 4$

$=16$

-------------------------------------------------------------------------------------
Number of 1/4 inch cubes width-wise:
-------------------------------------------------------------------------------------
$8 \div \dfrac{1}{4}$

$=8 \times 4$

$=32$

-------------------------------------------------------------------------------------
Number of 1/4 inch cubes height-wise:
-------------------------------------------------------------------------------------
$2\dfrac{1}{4} \div \dfrac{1}{4}$

$=\dfrac{9}{4} \times \dfrac{4}{1}$

$=9$

-------------------------------------------------------------------------------------
Total number of 1/4 inch cubes:
-------------------------------------------------------------------------------------
16 x 32 x 9 = 4608

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Answer: 4608 cubes are needed to fill the rectangular prism
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7 0

3 years ago

Read 2 more answers