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3 years ago

A small hexagon was graphed on a coordinate plane. By what scale factor was the hexagon dilated to create the larger hexagon?

Mathematics

2 answers:

suter [353]3 years ago

6 0

Consider the point where the hexagons meet the positive half of the y axis.

The inner hexagon meets the axis at $y=4$ , whereas the outer hexagon meets the axis at $y = 6$

So, we're looking for a dilation constant $k$ such that

$4k = 6$

So, solving by k we have

$k = \dfrac{6}{4} = \dfrac{3}{2}$

uranmaximum [27]3 years ago

3 0

Answer: is D 3/2

Step-by-step explanation:

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Based on your observations, what conclusion can you draw about the lengths of AB DB AE EC

Deffense [45]

Answer:

The ratio of AD to DB is equal to the ratio of AE to EC. In other words, the pairs of lengths are proportional.

Step-by-step explanation:

Sample answer from plato

4 0

3 years ago

78 : 120 :: ? : 66 please give answer with explanation

yawa3891 [41]

Step-by-step explanation:

Method 1:

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

Method 2:

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

Answer: Hence the value of (?) for the given problem is 42.9.

Verification:

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

4 0

2 years ago

Josh attempted 56 free throws during the basketball season. He made 57 of them. How many free throws did he make?

Scorpion4ik [409]

Answer:

He made approximately 32 free throws.

Step-by-step explanation:

Assuming that there's a typo in the question and that he made 57% of his attempted free throws, then we can solve it as shown below:

We can apply a rule of three in order to calculate the number of free throws he made. This is done as follows:

56 free throws -> 100%

x free throws -> 57%

56/x = 100/57

100*x = 57*56

x = 57*56/100 = 31.92

It can also be solved by transforming the percentage in a fraction such as 57% = 57/100 and then multiplying it by the total attempts.

free throws made = 56*57/100 = 31.92

He made approximately 32 free throws.

7 0

3 years ago

5/8+3/4 / -2/3 - 5/6 =

m_a_m_a [10]

Answer:

-11/12

Step-by-step explanation:

Add 5/8+3/4 (6/8) which is 11/8 and then get -2/3 - 5/6 which simplifies to -3/2

Multiply -3/2 by 4 to get it to like terms

11/8 / -12/8

Multiply and then simplify.

If you need help, just comment!!

3 0

3 years ago

HELP ASAP All the students in a history class complete a 10-point

liubo4ka [24]

Answer:

A. y = x+10

Step-by-step explanation:

The original test score is x

And in the next assignment it is 10 more means,

x + 10

If the new score is y then it should be equal to the above solution.

Hence, answer is y = x+10.

7 0

3 years ago

Read 2 more answers