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3 years ago

What is the volume of the prism?

Mathematics

1 answer:

ozzi3 years ago

3 0

Answer:

Step-by-step explanation:

When you find the volume of prisms, you're essentially taking the area of the base and multiply it by the length, in varied orientations.

In this case, I'd start by finding the area of the parallelogram facing us.

The formula for a parallelogram's area is the same as a rectangle's:

A = b x h

In this case, h = 3 cm and b = 8 cm.

A = 24 cm²

Now, you multiple the area by the length of the parallelogram, which is 8 cm.

V = 24 cm² x 8 cm

= 192 cm³

I hope this helps!

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What are the intercepts of y=4x-2

Lemur [1.5K]

Answer:

To find the x-intercept, make y equal to zero, and solve for x. To find the y-intercept, make x equal to zero, and solve for y.

Explanation:

y=4x−2

X-Intercept

0=4x−2

Add 2 to both sides of the equation.

2=4x

Divide both sides by 4.

2/4=x

Simplify.

1/2=x

Switch sides.

x=1/2

Y-Intercept

y=4(0)−2

y=−2

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3 years ago

A seamstress needs to cut 15- inches pices of ribbons from a roll of ribbon that is 9 feet in length. What is the greatest numbe

sertanlavr [38]

The seamstress can cut 36, 15-inch pieces of ribbon from 5 rolls of 9 foot long ribbon.

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3 years ago

Harvey Alson invested $7,500 in a 2-year CD that pays 6% interest compounded quarterly. What is the amount of interest that Harv

irga5000 [103]

A=7,500×(1+0.06÷4)^(4×2)
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Interest earned=8,448.69−7,500
Interest earned=948.69

5 0

3 years ago

Read 2 more answers

Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

The area of a round table is 1.13 m2. Find the radius length of

hichkok12 [17]

Answer:

0.6 m

Step-by-step explanation:

-The area of a circular shape is given by the formula:

$A=\pi r^2\\\\\#Where\\r-Radius\\A-Area$

We substitute the given value of area in the formula to solve for Radius:

$A=\pi r^2\\\\1.13=\pi r^2\\\\r=\sqrt{\frac{1.13}{\pi}}\\\\=0.59974\approx0.6\ m$

Hence , the radius length of the table is 0.6 m

5 0

2 years ago