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lapo4ka [179]
3 years ago
12

Find the number n that fits all of these conditions.

Mathematics
2 answers:
makvit [3.9K]3 years ago
6 0
When you look at your choices, we see that 8 is not a factor of 36 and 9 is not a factor of 48. the last choice of 6 is not larger than 6, ...so 12 is the only appropriate answer as it is a factor of 36, 48, and larger than 6.
zavuch27 [327]3 years ago
6 0
N is larger than the number 6: Therefore option (D) is disqualified.

N is a factor of 36: The factors of 36 = 1, 2, 3, 4, <u>6</u>, <u>9</u>, <u>12</u>, 18, 36

<span><span>N is a factor of 48:</span> The factors of 48 = </span><span>1, 2, 3, 4, <u>6</u>, <u>8</u>, <u>12</u>, 16, 24, 48

The only answer matching all of the above criteria is Option (A) 12</span>
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6 0
3 years ago
Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A
Ghella [55]

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

6 0
3 years ago
I WILL MARK YOU BRAINLIEST PLS HELP!!! The image below shows two dilated figures with lines AB and A’B’ drawn. If the larger fig
geniusboy [140]

Answer:

Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)

Step-by-step explanation:

The relationship between two lines AB and A’B’ is A'B'=3AB.

It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.

The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.

Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.

By cross multiplication we get

The length of segment A'B' is 3 times of AB.

MARK ME BRAINLIEST!

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3 years ago
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