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3 years ago

Find the volume of the triangular prism

Mathematics

1 answer:

Serhud [2]3 years ago

5 0

Answer:

The volume of the triangular prism would be 210.

Step-by-step explanation:

Formula:

Volume of a triangular prism = (1/2) x Base area x Height

V = 1/2 x B x H

Find the Base area = l x w

Base area = (10 x 7) 70

Base area = 70 sq.m

V = (1/2) x (70) x 6

V = <em>210</em>

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An Italian restaurant offers small, medium and large calzones. The choices of filings are cheese, sausage, spinach, or vegetable

larisa86 [58]

Answer:

A) 12 toppings.

Step-by-step explanation:

That would be the answer if there are no combinations of toppings.

You would simply take the number of sizes (3) and the number of toppings (4) and multiply them together to get 12 combinations.

8 0

3 years ago

Use the functions h(x) = 2x - 5 and t(x) = 6x + 4 to complete the function operations listed below.

Rom4ik [11]

Answer:

See below for answers (in bold) and explanations

Step-by-step explanation:

Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1

Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20

Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3

3 0

3 years ago

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

FromTheMoon [43]

The statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Given the equation of circle be $x^{2} +y^{2}-2x-8=0$ .

We are required to find the appropriate statements related to the equation $x^{2} +y^{2}-2x-8=0$ .

$x^{2} +y^{2}-2x-8=0$ can be written as under:

$x^{2} +y^{2} -2x+1-9=0$

$x^{2} +1^{2}-2x+y^{2} -9=0$

$(x-1)^{2}+y^{2}$ -9=0

$(x-1)^{2} +y^{2} =9$

$(x-1)^{2}+y^{2} =3^{2}$

Equation of a circle usually in the form $x^{2} +y^{2} =a^{2}$ in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Learn more about radius at brainly.com/question/24375372

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3 0

1 year ago

What is four and 1 fith divided by 2 thirds

Sloan [31]

Answer: 6.27 or 6.3

Step-by-step explanation: 4 1/5 ÷ 2/3 can be changed to a multiplication problem by using the reciprocal of the second fraction: 3/2

Multiply 4 1/5 by 3/2 = 6.3

5 0

3 years ago

Read 2 more answers

A pair of Air Force 1 shoes went from $40 to $48. What is the percent increase for these shoes?

kompoz [17]

Answer:

Hi, the price went up by 20%

Hope this helps

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3 years ago