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Vsevolod [243]
3 years ago
13

Hellllppppppeee pleaseeee!!!!!!

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

Scale Factor = 2

Step-by-step explanation:

ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.

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You roll two dice. What is the probability that the average of the high and low roll is exactly 3, to four decimal places?
Sladkaya [172]

Answer:

0.1111

Step-by-step explanation:

Given that you  roll two dice.

the average of the high and low roll is exactly 3,

Since die can show only 1 to 6 we can say average can be 3 in each of the following case.

(1,5) (2,4) (3,3) (4,2) (5,1)

There cannot be any other combination to get average of 3.

Thus favourable events = 4

Sample space will have

(1,1)...(1,6)

(2,1)....

(6,1)...(6,6) i.e. 36

So probability that the average of the high and low roll is exactly 3

=\frac{4}{36} \\=0.1111

8 0
3 years ago
11. The length of a rectangle is three times its width. The perimeter of the
Elenna [48]

Answer: The length of the rectangle is 37.5 inches and the width is 12.5 inches

Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;

Perimeter = 2(L + W)

We can now insert the known values as follows;

100 = 2(3W + W)

100 = 2(4W)

100 = 8W

Divide both sides of the equation by 8

12.5 = W

Having calculated the width as 12.5 inches, the length now becomes

L = 3W

L = 3 x 12.5

L = 37.5

Hence the length is 37.5 inches and the width is 12.5 inches

8 0
3 years ago
What makes a mathematical statement an equation.
kirza4 [7]

Answer:

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".

4 0
2 years ago
Greek city-states began to form in 800 B.C. and in 200 A.D, Christians began getting persecuted. How many years passed between t
asambeis [7]

Answer: 1000 years

Step-by-step explanation:

-Greek city-states began to form in 800 B.C i.e 800 years Before Christ appearance

- up till 200 A.D i.e 200 years of After Christ disappearance

Hence, the number of years between the time that Greek city-states began to form and the persecution of Christians began is equal to the sum of years Greek city States started formation and Year persecution began

i.e 800 BC + 200 A.D = 1000 Years

Thus, the number of years of that passed was 1000 years

6 0
3 years ago
Solve the following new equation
mixer [17]

Answer:

<h3>x = 1.54 or x = - 4.54 to 2 decimal places</h3>

Step-by-step explanation:

x² + 3x - 7 = 0

Using the quadratic formula

a = 1 b = 3 c = - 7

x =  \frac{3 ± \sqrt{ {3}^{2} - 4(1)( - 7) }  }{2(1)}  \\  x =  \frac{ - 3± \sqrt{9 + 28} }{2}  \\  \\ x =  \frac{ -3 ± \sqrt{37} }{2}  \\  \\ x =  \frac{ - 3 +  \sqrt{37} }{2}  \:  \:  \:  \:  \: or \:  \:  \: x =  \frac{ - 3 -  \sqrt{37} }{2}  \\  \\ x = 1.54 \:  \:  \: or \:  \: x =  - 4.54

Hope this helps you

7 0
3 years ago
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