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2 years ago

Find the midpoint between (4,-1) and (3,2)

Mathematics

1 answer:

zepelin [54]2 years ago

4 0

Midpoint has form of,

$M(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

We can insert the data,

$M(\dfrac{4+3}{2},\dfrac{-1+2}{2})$

Which simplifies to,

$\boxed{M(3.5, 0.5)}$

Hope this helps.

r3t40

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You are planning on using circles to compare the populations of California 37,691,000, Texas 25,675,000, and New York 19,465,000

Aneli [31]

The areas of the circle will represent the population, so:
Area = πr²

5² : 19,465,000
C² : 37,691,000

California circle radius = 6.96 cm

For Texas:
5² : 19,465,000
T² : 25,675,000

Texas circle radius = 5.74 cm

8 0

2 years ago

Oblicz.Pamiętaj o kolejności wykonywania działań

SashulF [63]

Answer:

33.275

Step-by-step explanation:

1 step: Difference in brackets

$3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}$

2 step: $0.75\div\dfrac{1}{3}$

$0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}$

3 step: $1.28\div 0.04$

$1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}$

4 step:

$2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}$

5 step:

$\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275$

6 0

2 years ago

Suppose you draw a card from a well shuffled deck of playing cards what is probability of drawing a ace

Tasya [4]

So there are a totally of 52 cards right?(not counting jokers because jokers are not in official cards)
And there are 4 aces right?
So there are 52 outcomes and 4 of them are aces.
So when we write probabilities we write it in fraction form where the total number of outcomes is the denominator and the ones you want to get are the numerator OK?
So the total number is outcomes is 52 and becomes the denominator and 4 the number of aces become the numerator.
So 4/52 right?
And we now have to simplify it right?
And so we divide by the highest common factor right?
In this case 4 because there isn’t other numbers that are factors and greater than 4.
So 4 divided by 4/52 is 1/13 right?
4 goes into 4 1 time and 13 times into 52.
So your answer is 1/13

3 0

3 years ago

A cylinder has a radius of 10 M and a height of 8 AM what is the exact volume of the cylinder

natita [175]

$\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill$

7 0

3 years ago

Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck was in the week tot

GrogVix [38]

Answer:

12.2%

Step-by-step explanation:

Her total paycheck minus her salary = the commission amount

6500 - 1000 = 5500

So....her commission as a percentage of sales = 5500/ 45000 = about 12.2%

3 0

3 years ago