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eduard
2 years ago
15

A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 32 2 centimeters. What is the

area of one square?
Mathematics
1 answer:
marissa [1.9K]2 years ago
4 0

Answer:

16 cm squared

Step-by-step explanation:

Assuming the length of the square is x

We get that the length of rectangle is 2x and width is x.

Using formula of area:

32.= 2x * x

32/2 = x * x

16 = x * x

X = 4cm.

So area of squarr is

X * x= 16 cm ^2

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1) In how many ways can a girl choose a two-piece outfit from 9 blouses and 8 skirts?
julsineya [31]
D. There are 9 blouse options and 8 skirt options. So, for each of the 9 blouses, there are 8 skirt options. Multiply 9x8, which equals 72
8 0
2 years ago
A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce
never [62]

Answer:

The probability that the dart lands inside the triangle is 0.25

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

  number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- P(A) < 1

* Lets solve the problem

- A rectangular dartboard has an area of 648 cm²

- The triangular part of the dartboard has an area of 162 cm²

- A dart is randomly thrown at the dartboard

- The dart lands in the rectangle

∴ The area of the rectangle is the set of all possible outcomes n(S)

- The probability P(A) that the dart lands inside the triangle

∴ The area of the triangle is set of favorable outcomes of an

   event n(E)

∵ P(A) = n(E) ÷ n(S)

∴ P(T) = area of the triangle ÷ area of the rectangle

∵ Area of the rectangle is 648 cm²

∴ n(S) = 648

∵ The area of the triangle is 162 cm²

∴ n(E) = 162

∴ P(T) = 162 ÷ 648 = 1/4 = 0.25

* The probability that the dart lands inside the triangle is 0.25

5 0
3 years ago
If the average speed of a garden snail is 0.025 miles per hour and one inch is approximately 2.54 centimeters, how many minutes
BaLLatris [955]

Snail takes 1.5 minutes to travel around one meter

<u>Solution:</u>

Given, the average speed of a garden snail is 0.025 miles per hour  

And one inch is approximately 2.54 centimeters,  

We have to find how many minutes would it take a garden snail to travel one meter?  

Now, let us convert the speed in miles per hour to meters per minute

Then, speed = 0.025 miles per hour  

= 0.025 x 1 mile / 1 hour  

= 0.025 x 1609.34 meters / 60 minutes

= 0.025 x 1609.34 / 60 meters per minute

\begin{array}{l}{=\frac{0.025 \times 1609.34}{60} \text { meters per minute }} \\\\ {=\frac{40.2335}{60} \text { meters per minute }}\end{array}

= 0.670 meters per minute.

Now, 0.670 meters ⇒ 1 minute

Then, 1 meter ⇒ n minutes

So, by criss cross method

n x 0.67 = 1 x 1

n = 1.4912

Hence, snail takes 1.5 minutes approximately to travel 1 meter.

3 0
3 years ago
Read 2 more answers
HELP!! Im not sure what i did wrong!!
Igoryamba

I'm not sure what exactly you did wrong, but I agree with you that the sample size is too small, so the correct answer will probably be the fourth options. Hope that this gives you some confidence, and 'm sorry not to be able to help you any further...

7 0
3 years ago
Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s
Viktor [21]

Answer:

1. Translate circle A using the rule (x − 3, y + 4).

4. Dilate circle A by a scale factor of 5

Step-by-step explanation:

we know that

All circles are similar figures

step 1

Translate the center of circle A to the center of circle B

we have

A(2,8) -----> B(5,4)

so

The rule of the translation is

(x,y) ----> (x+a,y+b)

(2,8) ----> (2+a,8+b)

2+a=5 ----> a=5-2=3

8+b=4 ---> b=4-8=-4

therefore

The rule of the translation is

(x,y) ----> (x+3,y-4)

step 2

Divide the radius of circle B to the radius of circle A to find out the scale factor

10/2=5

so

Multiply the radius of circle A by the scale factor to obtain the radius of circle B

therefore

Dilate circle A by a scale factor of 5

3 0
3 years ago
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