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3 years ago

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.

Mathematics

1 answer:

Bess [88]3 years ago

7 0

A. <span>(–3, 2) are the coordinates for the fourth vertex</span>

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A model of a skyscraper is 1.6 inches long, 2.8 inches wide, and 11.2 inches high. The scale factor is 8 inches = 250 feet. What

kozerog [31]

Answer:

50 feet long

87.5 feet wide

350 feet high

Step-by-step explanation:

8 inches : 250 feet

1 inch : 250/8 feet

250/8 = 31.25

Length: 31.25 × 1.6 = 50 feet

Width: 31.25 × 2.8 = 87.5 feet

Height: 31.25 × 11.2 = 350 feet

4 0

3 years ago

What is the correct way to write 0.000000056<br> meter in scientific notation?

finlep [7]

Answer:

$5.6 \times 10^{-8}~ m$

Step-by-step explanation:

$0.000000056\\\\=\dfrac{56}{1000000000}\\\\\\=\dfrac{56}{10^9}\\\\\\=56 \times 10^{-9}\\\\\\=56 \times 10^{-1} \times 10^{-8}\\\\\\=5.6 \times 10^{-8}~$

6 0

2 years ago

Mr. Martin wants to make a batch of 12 chocolate chip cookies. The recipe he has makes 24 cookies and calls for 3 cups of flour.

raketka [301]

Answer:

1.5 cups of flour

Step-by-step explanation:

this is because if the recipe is ut in half, the ingredients must be as well. 3/2=1.5 simple.

5 0

3 years ago

Two friends compete with each other and five other, equally good, violinists for first and second chair in an orchestra, in a bl

Darina [25.2K]

Answer: 0.0476

Step-by-step explanation:

Given : Two friends and 5 other people compete with each other for first and second chair in an orchestra.

Total people in this competition= 2+5=7

By permutation , Number of ways to arrange 7 people= 7!

Also, number of ways for two friends end up as first and second chair together= 2 × 5! [ 2 ways to arrange friends on first and second chair and 5! ways to arrange others]

I.e. Required probability = $\dfrac{2\times5!}{7!}$

$=\dfrac{2!\times5!}{7\times6\times5!}\\\\=\dfrac{1}{7\times3}\\\\=\dfrac{1}{21}\\\\=0.0476$

Hence, the probability that the two friends end up as first and second chair together = 0.0476

4 0

4 years ago

2 Write the equation of the line that goes

FromTheMoon [43]

if the twi lines are parallel , they have the same slope.

So slope is 1/2.

equation of a line is : mx +p

The line goes throught (-2 ; 4)

We have 1/2 ( -2) + p = 4

- 2/2 +p = 4

-1 +p = 4

p = 4+1

p = 5

equation of the line is y = 1/2x +5

4 0

3 years ago