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1 year ago

Complete each statement so it will result in the truth value F.

Mathematics

1 answer:

inessss [21]1 year ago

4 0

Given: If GCD of 5 and 12 is 1 and if the sum of 5 and 12 is 7 if and only if

To determine: The truth statement

Solution:

If GCD of 5 and 12 is 1, then it can be noted that 5 is a prime number. A prime number has two factors, itself and 1.

Hence, 5 is a prime number

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TUU SILICU.

Shalnov [3]

Answer:

4.013 units

Step-by-step explanation:

We know that the volume of a cone is given by the following equation:

v = pi / 3 * r ^ 2 * h

we need to know the height, therefore we solve for h:

h = 3 * v / (pi * r ^ 2)

replacing v = 105 and r = 5

h = 3 * 105 / (3.14 * 5 ^ 2)

h = 4.013

Which means that the height measures 4.013 units

4 0

3 years ago

Read 2 more answers

What is the vertex and axis of symmetry for y=4x^2-12x+9?

VLD [36.1K]

Answer:

axis of symmetry x=3/2

vertex (3/2, 0)

Step-by-step explanation:

to find the axis of symmetry we use h = -b/2a

where ax^2 + bx+c

h = -(-12)/2(4)

h= 12/8

h = 3/2

the axis of symmetry is x = 3/2

the x coordinate of the vertex is h x=3/2

to find k, the y coordinate of the vertex, substitute x=3/2 into the equation

y=4x^2-12x+9

y=4(3/2) ^2-12(3/2)+9

= 4 (9/4) - 6*3 +9

= 9-18+9

= 0

the vertex (3/2, 0)

4 0

3 years ago

1. Thom has a scale model of his car. The

MariettaO [177]

$x =\frac{4}{3}inch$ is the size in wheels on the scale model .

<u>Step-by-step explanation:</u>

Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:

Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,

⇒ $\frac{1}{12} = \frac{x}{16}$ { x is size of wheel in scale model }