The geometric period was mostly characterized by

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Answer 1

Answer: The geometric period was mostly characterized by diversity.

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The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each figure. Rectangular prism: L= 6 ft. W= x H=3 ft. Triangular Prism: L= 7 ft W= x H=4 ft. Volume of rectangular prism: _ ft3 Volume of triangular prism: _ ft3 PLEASE ANSWER ASAP! I'M OFFERING A LOT OF POINTS!

Answers

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT = Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

The volume of the rectangular prism is 144 ft³ and the volume of the triangular prism is 112 ft³.

To find the volume of each figure, we'll use the formulas for volume of a rectangular prism and volume of a right triangular prism. The volume of a rectangular prism is given by the formula V = L × W × H, where L represents the length, W represents the width, and H represents the height.

The volume of a right triangular prism is given by the formula V = (1/2) × L × W × H, where L represents the length, W represents the width, and H represents the height.

Given the information provided, we have:

- For the rectangular prism: L = 6 ft, W = x (unknown), and H = 3 ft.

- For the triangular prism: L = 7 ft, W = x (unknown), and H = 4 ft.

We are also told that the volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism.

Let's set up the equations and solve for the volume of each figure:

Equation for the volume of the rectangular prism:

V_rectangular = L × W × H = 6 × x × 3 = 18x

Equation for the volume of the triangular prism:

V_triangular = (1/2) * L × W × H = (1/2) × 7 × x × 4 = 14x

We are given that the volume of the rectangular prism is 32 cubic feet more than the volume of the triangular prism. So, we can set up the equation: V_rectangular = V_triangular + 32

Substituting the equations for the volumes: 18x = 14x + 32

Simplifying the equation: 4x = 32

Dividing both sides by 4: x = 8

Now, we can find the volume of each figure by substituting the value of x:

Volume of the rectangular prism: V_rectangular = 18x = 18 × 8 = 144 ft³

Volume of the triangular prism: V_triangular = 14x = 14 × 8 = 112 ft³

Learn more about Prism here:

brainly.com/question/30095470

#SPJ3

Does anyone know what the answer is

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Answer:

cheating in entrance

Step-by-step explanation:

circumference: 14π

area: 49π

Answer:

nope

Step-by-step explanation:

one-third of the fish in Liam's fish tank were added today. Half of the other fish were a gift to Liam last week. the other 9 came from Liam's old fish tank. How many fish are in the tank? What is the difference between the number of fish Liam had in his old tank and the number he has now?

Answers

Answer: Total fish are 27, difference is 18

Step-by-step explanation:

Given: one-third of the fish in Liam's fish tank were added today. Half of the other fish were a gift to Liam last week. the other 9 came from Liam's old fish tank.

To Find: Number of the fish in the tank, difference between the number of fish Liam had in his old tank and the number he has now.

Solution: Let the total fish in tank be = x

total fish added today = $(1)/(3)* \text{x}$

Total fish left = $\text{x}-(1)/(3)\text{x}$ = $(2)/(3)\text{x}$

Fish gifted to him last week = $(1)/(2)*(2)/(3)* \text{x}$

= $(1)/(3)\text{x}$

Fish left = $(2)/(3)\text{x}$ - $(1)/(3)\text{x}$

$(1)/(3)\text{x}$

now,

fish left in the tank are = $(1)/(3)\text{x}$

fish from liam's old tank = 9 = fish left in the tank

$(1)/(3)\text{x}$ = 9

$\text{x}$ = $27$

Total fish in liam's new tank= $27$

difference between the number of fish Liam had in his old tank and the number he has now

= $27-9=18$

Total Fish in Liam's new tank are 27 and difference between the number of fish Liam had in his old tank and the number he has now is 18.

There are 54 fish in the tank. The difference between the fish he had and the fish he has now is 45 fish. 1/3=2/6 1/2=3/6. I converted so there is a common denominator. 2/6+3/6=5/6. That leaves 9 fish. 9 fish is 1/6. So if I multiply 9 by 5 that gives me the rest of the fish, which is 45. Then, I add that together to get 54.

Simplify radical. Intermediate Algebra

Answers

180 ÷ 2 = 90; 90 ÷ 2 = 45 ; 45 ÷ 3 = 15 ; 15 ÷ 3 = 5 ; 5 ÷ 5 = 1 => 180 = (2^2) * (3^2) * 5 => $√(180) = 2*3 * √(5 )=6 √(5) ;$

In the same way we have $√(245)=7 √(5) ;$ and $√(320 )=8 √(5) ;$

Finally, $6 √(5)+7 √(5) - 8 √(5) = 13 √(5) - 8 √(5) =7 √(5).$

6|3x -1|+4=2|x+8|-8

Pls help quick

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Answer:

Step-by-step explanation:

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I want a good person who no really good at math and solve it

Answers

Dimensions:
Prism A:
Length = 4 ft ; Width = 2 ft ; Height = 4 ft

Prism B:
Length = 4 ft ; Width = 6 ft - 2 ft = 4ft ; Height = 2 ft

Volume = Length * Width * Height

V Prism A = 4ft * 2ft * 4ft = 32 ft³
V Prism B = 4ft * 4ft * 2ft = 32 ft³

Volume of the L shaped figure = V Prism A + V Prism B
V of L = 32 ft³ + 32 ft³
V of L = 64 ft³

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