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2 years ago

A slice is made parallel to the base of a right rectangular pyramid.

Mathematics

1 answer:

galina1969 [7]2 years ago

6 0

If the slice is made parallel to the base, then if the base is a rectangle, the cross-section would be A. rectangle

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rewona [7]

Let h equal the number of hours the electrician works.

We can write the equation like this:

90h + 60 = 600

Solve for h.

90h + 60 = 600

~Subtract 60 to both sides

90h + 60 - 60 = 600 - 60

~Simplify

90h = 540

~Divide 90 to both sides

90h/90 = 540/90

~Simplify

h = 6

Therefore, the electrician work for 6 hours.

The correct answer is Option 1.

Best of Luck!

7 0

2 years ago

Read 2 more answers

Which is 2.7084 rounded to the nearest tenth?

ehidna [41]

The tenth place is where the 7 is.

0.7

If the number behind it is over 5, we round up. If it isn't, we round down.

0<5

We round down.

2.7 is the answer.

I hope this helps!
~kaikers

4 0

2 years ago

35 – 2.4 ( 7 – 5)<br> Show each step

saveliy_v [14]

Answer:

35 - 2.4(7-5)

= (35/1)-(24/10)(7-5)

= [(35×10)/(1×10)]-(24/10)(2)

= (350/10)-(24/10)(2)

= (350-24)/10(2)

= 326/10(2)

= 32.6(2)

= 65.2

Thank you.

BY GERALD GREAT.

5 0

2 years ago

What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?

loris [4]

Answer:

Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

Step-by-step explanation:

We have been given a formula $a_n=\frac{1}{2}\cdot a_n-1$

$a_1=1$

We will put values of n in $a_n=\frac{1}{2}\cdot a_n-1$

when n=2 we get

$a_2=\frac{1}{2}\cdot a_2-1$

$\Rightarrow a_2=\frac{1}{2}\cdot a_1$

$\Rightarrow a_2=\frac{1}{2}\cdot 1$

$\Rightarrow a_2=\frac{1}{2}$

when n=3

$a_3=\frac{1}{2}\cdot a_2$

$\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}$

$\Rightarrow a_3=\frac{1}{4}$

Therefore, Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

6 0

2 years ago

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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= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

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

Volume is always = area × height

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.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

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

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

6 0

2 years ago

Read 2 more answers