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wolverine [178]
3 years ago
12

What is the rule for dilations​

Mathematics
1 answer:
padilas [110]3 years ago
7 0

Size change for preimage...

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Simplity (4^-2)^5<br> A.1/4^10<br> B. 4^3<br> C.1/4^3<br> D. 4^10
Goshia [24]

Answer:

(4^{-2})^5=\dfrac{1}{4^{10}}

Step-by-step explanation:

The given expression is : (4^{-2})^5

We need to simplify the above expression.

We know that, x^{-a}=\dfrac{1}{x^a}

or

(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}

So, the simplified form of the given expression is \dfrac{1}{4^{10}}. Hence, the correct option is (A).

5 0
3 years ago
Read 2 more answers
(03.01 LC)<br><br> What is the length of leg y of the right triangle? (1 point)
EastWind [94]

Answer:

<h2>A</h2>

Step-by-step explanation:

The complete question is

What is the length of leg y of the right triangle?

A right triangle with hypotenuse 26 and legs 24 and y

  • 10
  • 14
  • 24
  • 26

We need to use the Pythagorean Theorem, where h=26 and x=24,

h^{2} =x^{2} +y^{2}\\ 26^{2}=24^{2}+y^{2}\\y=\sqrt{26^{2}-24^{2}}\\ y=\sqrt{676-576}\\ y=\sqrt{100}\\ y=10

Therefore, the right answer is A. The length of the missing leg is 10 units.

4 0
3 years ago
What is a prism ???????????????????????
Leto [7]
A solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.


hope that helps
8 0
3 years ago
A book sold 33,200 copies in its first month. Suppose this represents 7.4% of the number of copies sold to date. How many copies
Marta_Voda [28]

Answer: 448648

Step-by-step explanation:

33,200 copies represent 7.4% of the total amount

-----------------------------------------------------

#1  33,200 ÷ 7.4%

- this is because how we get 33,200 by calculation is use the total amount and times 7.4% to get 33,200. So we are just working backwards. Since it was times before, then we divide after.

 33,200÷7.4%

=33,200÷0.074

≈448648 (you can't round up when the real amount is less the exact amount)

6 0
3 years ago
Read 2 more answers
If the radius of a circle is 3.5 what is the area?
Gala2k [10]

Answer:

A= 12.25π or A≈ 38.48

Step-by-step explanation:

The area formula for a circle is A= πr².

A= πr²

A= π(3.5)²

A= 12.25π or A≈ 38.48

3 0
3 years ago
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