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2 years ago

Two more than 5 times a number,n, is greater than 3.

Mathematics

2 answers:

lana [24]2 years ago

5 0

Answer:

5n + 2 > 3 (If you're writing the equation)

n > 1/5 (If you're solving for n.

Step-by-step explanation:

shtirl [24]2 years ago

5 0

Answer: n > 1/5

Step-by-step explanation:

2 + 5n > 3

5n > 1

n > 1/5

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

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

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

The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 F

Ber [7]

Answer:

599/711

Step-by-step explanation:

Band Sports Debate Total

Male 105 320 7 432

Female 105 160 14 279

Total 210 480 21 711

P(female or plays sports)

We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them

P(female) + P (sports) - (female and sports)

female/total + sports/total - female sports/ total

279/711 + 480/711 - 160/711

599/711

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2 years ago