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dimulka [17.4K]

3 years ago

9

Petrolyn motor oil is a combination of natural oil and synthetic oil. it contains 2 liters of natural oil for every 3 liters of

synthetic oil. if 118 liters of natural oil are used, how many liters of petrolyn oil will be made?

1 answer:

kykrilka [37]3 years ago

8 0

Take 118/2 to get your answer

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Which expression represents the volume, in cubic units, of the composite figure? One-third(8)(6)(6) (8)(6)(4) One-third(8)(6)(10

vaieri [72.5K]

The expression of Volume in cubic meter $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4)

The correct option is (1)

<h3>What is Volume?</h3>

Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains.

Volume will be,

V= Volume of rectangular pyramid + Volume of cuboid

Volume of rectangular pyramid= $\frac{1}{3}$ * base area* height

= $\frac{1}{3}$ * 6*8*(10-4)

= $\frac{1}{3}$ * 6*8*6

Volume of cuboid= l*b*h

= 4*6*8

So, Volume = $\frac{1}{3}$ * 6*8*6 + 4*6*8

= $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4)

So, The expression of Volume in cubic meter $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4).

Learn more about Volume here:

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3 0

2 years ago

Please help me out I need it done ASAP

irinina [24]

Your answer will be letter c

7 0

3 years ago

PLEASE HELP AS SOON AS YOU CAN

Mnenie [13.5K]

Answer:

FOR QUESTION 2

1. Segment addition postulate

2. Substitution

3. Substitution

4. Addition property of equality

5. Division property of equality

6 symmetric property

FOR QUESTION 3

1. given

2. Definition of complementary angles (complementary angles add upto 90)

3. Substitution

4. Subtraction property of equality

FOR QUESTION 4

1. Given

2. Definition of supplementary angles (supplementary angles add upto 180)

3. Definition of supplementary angles

4. Substitution

5. Subtraction property if equality

6. Definition of congruent angles (congruent angles are equal)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?

Eddi Din [679]

Given:

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree.

To find:

The length of the tree.

Solution:

A bird was sitting 16 feet from the base of an oak tree.

Vertical distance between bird and base = 16 feet

Then the bird flew 20 feet to reach the top of the tree.

Now, the vertical distance between bird and base = (16+20) feet

So, length of the oak tree is it the sum of 16 feet and 20 feet.

$\text{Length of the oak tree}=16+20$ feet

$\text{Length of the oak tree}=36$ feet

Therefore, the length of the oak tree is 36 feet.

5 0

2 years ago

If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest

lawyer [7]

Answer:

$3.5$

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, $c^2=a^2+b^2-ab\cos \gamma$ , where $a$ , $b$ , and $c$ are the three sides of the triangle and $\gamma$ is the angle opposite to $c$ .

Let $c$ be the side opposite to the 20 degree angle.

Assign variables:

$a\implies 4$
$b\implies 7$
$\gamma \implies 20^{\circ}$

Substituting these variables, we get:

$c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}$

Therefore, the shortest side of this triangle is 3.5.

5 0

3 years ago