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raketka [301]
2 years ago
12

The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases h

ave 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x 3). The vertical height of the prism is (x 2). What expression represents the volume of the prism, in cubic units? One-halfx3 x2 One-halfx3 Three-halves x2 x3 x2 x3 3x2.
Mathematics
1 answer:
balandron [24]2 years ago
7 0

The volume of the geometry that is oblique prism is \rm 0.5x^3 + x^2. Then the correct option is A.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The oblique prism below has an isosceles right triangle base.

The triangular bases have 2 sides with a length of x.

The distance from the 2 triangular bases is (x + 3).

The vertical height of the prism is (x + 2).

The volume of the oblique prism will be

\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume =  \dfrac{1}{2} x^3 + x^{2} \\\\

The volume of the oblique prism is \rm 0.5x^3 + x^2.

Thus, option A is correct.

More about the geometry link is given below.

brainly.com/question/7558603

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9(5x + 1) ÷ 3y
Ivan

Some definitions:

Sum - the result of adding values together

Term - a single number or variable (includes variables multiplied by numbers)

Factor - a number or variable that divides another number or expression evenly

Quotient - the result of dividing values by one another

Coefficient - a numerical or constant value often in front of a variable

In your equation:

Sum - (5x + 1)

5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.

Term - (5x, 1, 3y)

All terms given above are applicable.

Factor - (9)

9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression

Quotient - (9(5x + 1) / 3y)

The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.

Coefficient - (5, 3)

Both 5 and 3 are numbers in front of variables.

Hope this helps!! :)

3 0
3 years ago
Find the smallest solution to the equation 2/3 X² equals 24
iren [92.7K]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

4 0
3 years ago
Human blood may contain either or both of two antigens, A and B. Blood that contains only the A antigen is called type A, blood
Talja [164]

Answer:

A. 0.50

B. 0.85

C. 0.05

Step-by-step explanation:

A. Based on the initial statistics, 50% of the blood type is blood type O, hence the probability of choosing bold type O at random is 50/100, which is 0.50 to two decimal places.

B. The total number of donors that can donate to Blood type A is 85%, thus, the probability is 85/100, which is 0.85 to two decimal places.

C. The percentage of people that have the type AB blood is 5%, thus the probability of someone having the A antigen and blood type AB is 5/100, which is 0.05 to two decimal places.

6 0
3 years ago
Can someone please help me figure this out
Brilliant_brown [7]

Answer:

32/40

Step-by-step explanation:

1: Sin= Soh

Soh= Opposite over Hypotenuse

2. A's opposite is 32

3. A's Hypotenuse is 40

4. A = 32/40

5 0
3 years ago
There are 24 basketball teams competing in a tournament. After each round half the teams are eliminated. This situation can be m
BaLLatris [955]

Answer:

b(x)=24(1/2)x

Step-by-step explanation:

3 0
3 years ago
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