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Korolek
1 month ago
8

Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is

a scaled copy of S using a scale factor of 2. Find the scale factors for each of the following:
1. From T to S

2. From S to R

3. From R to T

4. From T to R
Mathematics
1 answer:
lawyer [12.5K]1 month ago
4 0

Answer:

1/2

1/3

6

1/6

Step-by-step explanation:

To find the inverse of a scale factor, the scale factor is its reciprocal. For instance, moving from S to R, the scale factor equals 3, hence from R to S, it's 1/3. Therefore:

1. From T to S, the reciprocal of the scale factor (2) results in 1/2

2. From S to R, applying the reciprocal of the scale factor (3) results in 1/3

3. From R to T derives from one figure to another, leading to multiplying the two scale factors (2 and 3) giving us 6

4. From T to R, being the opposite of R to T, leads us to the reciprocal of the scale factor from R to T (6) resulting in 1/6

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Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The
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Answer: La probabilidad que necesitamos es 0.16.

Step-by-step explanation:

Se nos proporciona que

La probabilidad de que el estudiante sea un senior = 0.22

La probabilidad de que el estudiante tenga una licencia de conducir = 0.30

La probabilidad de que el estudiante sea un senior o tenga una licencia de conducir = 0.36

Buscamos la probabilidad de que el estudiante sea un senior y tenga licencia de conducir.

Según la pregunta,

P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\\P(S\cap D)=0.22+0.30-0.36\\\\P(S\cap D)=0.16

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3 0
1 month ago
The previous task asked you to select the rectangle that did not represent an enlargement of the given rectangle. explain how yo
AnnZ [12381]

El cuadro de proporciones debe reflejar dimensiones que sean comparables a las del rectángulo original. Es decir, las medidas de los rectángulos adicionales deben multiplicarse por un factor de escala para hacer el aumento. Revisé cada medida para confirmar si era un múltiplo del rectángulo original.


4 0
1 month ago
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The perimeter of angle ABC is 98 centimeters. If the radius circle A is twice the radius of circle C and the radius of circle B
tester [12383]

Answer: Circle C has a radius of 7 cm.

Explanation:

Referring to the illustration below:

Let's denote the radius of circle C as x.

Circle A's radius can be represented as 2x.

Circle B's radius can be expressed as 4x.

The length of side AC in triangle ΔABC becomes x + 2x = 3x.

For side BC of triangle ΔABC, we get 4x + x = 5x.

Similarly, for side AB of triangle ΔABC, it is 4x + 2x = 6x.

Given that the perimeter of triangle ΔABC totals 98 cm.

Remember, the perimeter refers to the total length around the triangle.

Hence, Perimeter = 6x + 5x + 3x = 98 cm.

Thus, 14x = 98.

From this, we find x = \frac{98}{14}.

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8 0
1 month ago
An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made, which graph can be used to determine
Inessa [12570]

Answer:

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Step-by-step explanation:

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5 0
1 month ago
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zzz [12365]
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The factors of 22 are: 1, 2, 11, 22.
The greatest common factor (GCF) is 2.
7 0
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