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4 years ago

For this section, using the diagram below, classify the angle pairs as

Mathematics

1 answer:

coldgirl [10]4 years ago

7 0

Answer/Step-by-step explanation:

Angle 1 and angle 11 = none

No special relation between both angles.

Angle 1 and angle 6 = none

Both angles also do not have any special relationship

Angle 12 and angle 15 = same side interior

Angle 12 and angle 15 both interior angles that lie on the same side of the transversal that cuts across two straight lines. They are supplementary.

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The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is $1.979\ in$

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

$V=20*10*15=3,000\ in^{3}$

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

$V=20*10*(15-2)=2,600\ in^{3}$

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1\ in$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

using proportion

Find how many inches correspond a volume of $4.2\ in^{3}$

$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

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3 years ago

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Charra [1.4K]

Use A Graph

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ra1l [238]

Answer:

18 MARK AS BRAINLIEST OR ELSE!!!!

Step-by-step explanation:

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area = 1/2x3(3+9)

area = 1/2 of 36

area = 18

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Furkat [3]

Answer:119

Step-by-step explanation:

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Triss [41]

Answer:its B....sorry i didnt read the qn properly earlier

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