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3 years ago

14

Use the image to answer the question

1 answer:

Aliun [14]3 years ago

5 0

Answer:

A = 140 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

here b = 20 and h = 14 , then

A = $\frac{1}{2}$ × 20 × 14 = 10 × 14 = 140 in²

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$x\cdot (-x)+7$

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3 years ago

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

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Area of circle is $\frac{\pi }{4}$ of area of square.

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Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

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6 0

3 years ago

Read 2 more answers

Which of the following describes a square root of 41?

andreev551 [17]

Answer:

the answer is b between 6 and 7

Step-by-step explanation:

i say this because the square root of 41 is 6.4031.

6.4031 is in between 6 and 7.

hope this helps :)

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3 years ago

Write an equation to show that 81 is 9 times n.

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hope this helps and have a great day :)

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3 years ago

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Solve for x in the equation x2 + 14x+17--96

Veseljchak [2.6K]

Answer:

Option B.

Step-by-step explanation:

If a quadratic equation is defined as $ax^2+bx+c=0$ , the by quadratic formula

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Consider the given equation is

$x^2+14x+17=-96$

We need to find the value of x.

Add 96 on both sides.

$x^2+14x+17+96=-96+96$

$x^2+14x+113=0$

Here, a=1, b=14 and c=113. Using quadratic formula we get

$x=\dfrac{-14\pm \sqrt{14^2-4(1)(113)}}{2(1)}$

$x=\dfrac{-14\pm \sqrt{-256}}{2(1)}$

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The value of x are x=-7 + 8i and x=-7 - 8i.

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8 0

3 years ago