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sveticcg [70]
3 years ago
15

What is the greatest common factor of 48 and 64?

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

The GCF of 48 and 64 is 16

Step-by-step explanation:

To figure out GCF, you make a list of all the prime factors, pick out the numbers they have in common, and multiply them together.  In this case:

48:  2 x 2 x 2 x 2 x 3

64: 2 x 2 x 2 x 2 x 2 x 2

They have four 2's in common, so you multiply 2 x 2 x 2 x 2 =16

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Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the smaller roo
schepotkina [342]

Answer:  6.75 feet

Step-by-step explanation:

Since, the ratio of the side of the similar triangle = 2 : 3

Thus, by the property of similar triangle,

The ratio of the altitudes of the triangle = 2 : 3

Let the altitude of smaller triangle = 2 x

And, the altitude of larger triangle = 3 x

Where x is any number.

According to the question,

2 x = 4.5

x = 2.25

Therefore, the altitude of larger triangle = 3 × 2.25 = 6.75 feet

5 0
3 years ago
What is 5 tenth of 2 tenth
Fudgin [204]
5/10 and 2/10 beacuse tenth is the bottom number
4 0
2 years ago
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Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?
pishuonlain [190]

we have

y=2x^{2} -8x+9


Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-9=2x^{2} -8x


Factor the leading coefficient

y-9=2(x^{2} -4x)


Complete the square. Remember to balance the equation by adding the same constants to each side

y-9+8=2(x^{2} -4x+4)

y-1=2(x^{2} -4x+4)


Rewrite as perfect squares

y-1=2(x-2)^{2}

y=2(x-2)^{2} +1-----> equation in vertex form


therefore


the answer is the option C

y=2(x-2)^{2} +1


3 0
3 years ago
Read 2 more answers
Find the slope of the line perpendicular to the line graphed below. MUST BE IN ITS SIMPLEST FORM.
NNADVOKAT [17]

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

<h3>How to determine the slope of a line perpendicular to another line</h3>

The slope of a function is determined by the secant line formula and is defined by the following expression:

m = Δy / Δx         (1)

Where:

  • Δx - Change in the independent variable.
  • Δy - Change in the dependent variable.
  • m - Slope of the line.

Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:

m' = - 1 / m

If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:

m = 3 / 2

m' = - 1 / (3 / 2)

m' = - 2 / 3

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

To learn more on slopes: brainly.com/question/2491620

#SPJ1

3 0
1 year ago
I Need help with 1-5
natta225 [31]

Answer:

1)=0

2)

\frac{ \sqrt{3} }{?2}

3)

\sqrt{3}

4)

2 +  \sqrt{3}

5) I don't know that one.

3 0
2 years ago
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