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3 years ago

When a figure is translated, reflected, or rotated, what's the same about the original igure and its image? What's different?

Mathematics

1 answer:

Liula [17]3 years ago

7 0

Answer:

The image of a translation, reflection, or rotation is congruent to the original figure, and the image of a dilation is similar to the original figure. Two figures are similar when one can be obtained from the other by a sequence of translations, reflections, rotations, and dilations.

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PLEASEE HELP!! I WILL MARK BRAINLIEST!

ycow [4]

The expression in scientific notation is given as follows:

3.5 x 10³.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

For this problem, the expression is given by:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}$

When two factors of a multiplication have the same base and different exponent, we <u>keep the base and add the exponents,</u> hence:

$10^2 \times 10^4 = 10^6$

5 x 4.2 = 21, hence the expression is:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}$

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

$\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3$

Which is the simplified expression.

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

6 0

1 year ago

On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders

atroni [7]

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

$Ratio = 8 : 3$

On Saturday:

$Ratio = 4 : 7$

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

$Ratio = 4 : 7$

Calculate Total

$Total = 4 + 7$

$Total = 11$

Calculate the number of skiers

$Skiers = \frac{7}{11} * 168$

$Skiers = \frac{1176}{11}$

$Skiers = 107$ (Approximated)

Calculate the number of snowboarders

$Snowboarders = \frac{4}{11} * 168$

$Snowboarders = \frac{672}{11}$

$Snowboarders = 61$ (Approximated)

Calculate the difference

$Difference = 107 - 61$

$Difference = 46$

<em>Hence, there are 46 more skiers than snowboarder</em>

6 0

3 years ago

HELPPPPP MEEEEE ASAPPPPPPPPPPPPPPPPPP!

AlekseyPX

Answer:

D. 220.16 Square feet

Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is $A=\pi r^{2}$ . So we fill in this equation with the information we already know:

$A=\pi 16^{2}$

$A=3.14*16^{2}$ Simplify the exponents

$A=3.14*256$ Multiply

$A=803.84$

So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple $32*32$ which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.