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3 years ago

Name each set of numbers illustrated.

Mathematics

1 answer:

shtirl [24]3 years ago

7 0

A. Natural Numbers
B. Whole Numbers
C. Integers

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The volume of a cone is 339.12 if the radius is 6 meters calculate the height

Natali5045456 [20]

Answer:

9 meters

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

339.12 = 1/3 * pi * 6^2 * h

h = 3 * (339.12)/(36 pi)

h = 9 meters

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3 years ago

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Determine whether line segment FG is tangent to circle E.

liubo4ka [24]

The tangent meets the radius at a right angle.

We use (the converse of) the Pythagorean Theorem to check:

$26^2 + 17^2 = 965 \ne 30^2$

Not a right triangle

Answer: FALSE

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3 years ago

A game room has a floor that is 120 feet by 75 feet.A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet.Wha

erik [133]

We know,
1 unit : 5 feet

so, 120 ft = (120 / 5) units
= 24 units

75 ft = (75 / 5) units
= 15 units

∴ Dimensions of scale drawing is 24 units by 15 units.

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3 years ago

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t

-Dominant- [34]

Let

x--------> the number of children

y------> the number of teenagers

z------> the number of adults

we know that

$2x+3y+5z=1,950$ ------> equation A

$x+y+z=570$ -----> equation B

$y=\frac{3}{4}x$

$x=\frac{4}{3}y$ -------> equation C

Substitute equation C in equation A and equation B

$2[\frac{4}{3}y]+3y+5z=1,950$

$\frac{17}{3}y+5z=1,950$ --------> equation D

$[\frac{4}{3}y]+y+z=570$

$\frac{7}{3}y+z=570$ --------> equation E

Multiply equation E by $-5$

$-\frac{35}{3}y-5z=-2,850$ --------> equation F

Adds equation D and equation F

$\frac{17}{3}y+5z=1,950\\\\-\frac{35}{3}y-5z=-2,850\\\\---------\\\\-\frac{18}{3}y=-900\\\\y=3*900/18\\\\y=150\ teenagers$

therefore

<u>the answer is the option</u>

$150\ teenagers$

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3 years ago

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What is the slope of a line parallel to the line whose equation is y - x = 5 ? please explain answer

Trava [24]

The slope of a line is c. 1

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3 years ago

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