Find the distance between (1, 2) and (-3, 1). Show your work and round your answer to the nearest tenth, if

necessary. ​

Answer:

88mm^2

Sorry for not answering it early I know this answer is probably useless for you now

Step-by-step explanation:

Ok, suppose we were to divide this figure into two parts figure 1 & 2

like this... the picture is goven above

So, we can clearly see that figure 1 is a square as it has equal dimensions

and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area

So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.

So we get,

Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm

Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.

Area of figure 1

Area of square = side*side = 8*8 = 64mm^2

Area of figure 2

Area of rectangle = length*breadth = 4*6 = 24mm^2

Total area of the figures

Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2

Answer:

3 cups

Step-by-step explanation:

2/12 = 1/6

1/6 * 3 = 3/18

3 out of 18 cups, so 3 cups.

Answer:1200

1 box=240

so if you take 240 x5 you get 1200

Step-by-step explanation:

Answer:

But the average is (21 + 23 + 22 + 24 + 15)/5 =

21 eggs, Forgive me if im wrong.

Step-by-step explanation:

Answer:

0.75s

Step-by-step explanation:

The expression would be 0.75s where 0.75 represents the cost of the item after the 25% sale, and s representing the regular cost of the item.

Hope this helps :)

here is your picture for the question

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

Step 1: Simplify both sides of the inequality.

5y+4≤−y+22

Step 2: Add y to both sides.

5y+4+y≤−y+22+y

6y+4≤22

Step 3: Subtract 4 from both sides.

6y+4−4≤22−4

6y≤18

Step 4: Divide both sides by 6.

6y/6≤18/6

y≤3

Hey there!

Let's solve your inequality step-by-step.

[tex]\fbox{5y+4≤22−y}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]\fbox{5y+4≤−y+22}[/tex]

Step 2: Add y to both sides.

[tex]\fbox{5y+4+y≤−y+22+y}[/tex]

[tex]\fbox{6y+4≤22}[/tex]

Step 3: Subtract 4 from both sides.

[tex]\fbox{6y+4−4≤22−4}[/tex]

[tex]\fbox{6y≤18}[/tex]

Step 4: Divide both sides by 6.

[tex]\fbox{6y/6 ≤ 18/6}[/tex]

[tex]\fbox{y≤3}[/tex]

Answer:

[tex]\fbox{y≤3}[/tex]

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Answer:

$43 million

Step-by-step explanation:

15.4 million = 0.36 (T)

15,400,000 / 0.36 = T

42,777,777.78 = T

$42.8 million ≈ $43 million (rounded)

The final answer rounded to the nearest million is $43 million. This makes sense since $15.4 was only 36% of this total. Checking our math, 36% of $43 million is $15.4 million!

Hope this helps :)

Answer:

Monthly fee is $50

Step-by-step explanation:

100 + 12x = 700

12x = 600

x = 50

100 being the initial fee, 12x being the monthly fee (as there is 12 months in a year).

Answer:

-3.5

Step-by-step explanation:

6x + 16 = 2x + 2

4x = -14

x = -3.5

Step-by-step explanation:

3 and 7 are equal because they are corresponding angles

6x+16=2x+2

6x-2x=2-16

4x= -14

x= -3.5

Answer:

A

Step-by-step explanation:

Because rational numbers always terminate

Answer:

-40m + 24

Step-by-step explanation:

to answer this question you should distribute the -8 to all the digits

-8m + 24 -32m

then you can add like terms

-8m and -32m become -40m

-40m + 24 is the answer

Answer:

30

24 : 28 would equal 6 : 7

[tex]6/13[/tex] x 65 = 30

Use the proportion of the bracelets

The no. of bracelets are expected to sold are 30 pieces.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given that, A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry, which is 6 : 7 so, for every 6 pieces of bracelets 7 pieces of other types of jewelry are sold.

∴ No. of pieces of bracelets expected to sold are,

= 6/(6 + 7)×65.

= (6/13)×65.

= 6×5.

= 30 pieces.

learn more about ratios here ;

https://brainly.com/question/13419413

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Answer:

Step-by-step explanation:

Rule: (x, y) → (-y, -x)

This means that the x, will now become y, and the y will now become x.

U (-7, -4) → (4, 7)

V (1, -4) → (4, -1)

W (-5, -9) → (9, 5)

U' (4, 7)

V' (4, -1)

W' (9, 5)

*View the attached graph*

Hope this helps!

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

5/7 is 0.714....

7 is greater that 5 so u round up to 7

Answer:

52 Winners

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

b

Step-by-step explanation:

Equation to determine how many pairs of shoes :- S = 40 + 4.5x

Where,

S is Earnings

x is Shoe

⇒ 112 = 40 + 4.5x

⇒ 40 + 4.5x = 112

⇒ 4.5x = 112 - 40

⇒ 4.5x = 72

⇒ 4.5x/4.5 = 72/4.5

⇒ x = 16

[tex]\therefore [/tex] Roger must sell 16 shoes per day to meet his daily earning goal

formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]

============================

✔A) A 2-year loan with a 4.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]

[tex]\hookrightarrow \sf A = \$10,972.56[/tex]

B) A 3-year loan with a 4.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]

[tex]\hookrightarrow \sf A = \$11248.64[/tex]

C) A 4-year loan with a 3.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]

[tex]\hookrightarrow \sf A = \$11586.50415[/tex]

D) A 5-year loan with a 3.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]

[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]

Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.

The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the formula for the amount will be

[tex]A = P (1 + r) ^t[/tex]

A = Amount

P = Loan amount

r = rate of interest

t = time

The interest is given as

Interest = A - P

Charles needs a $10,000 loan in order to buy a car.

A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]

Then the interest will be

Interest = 10972.56 - 10000

Interest = 972.56

The amount of interest is $972.56.

B) A 3-year loan with a 4.00% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]

Then the interest will be

Interest = 11248.64 - 10000

Interest = 1248.64

The amount of interest is $1248.64.

C) A 4-year loan with a 3.75% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]

Then the interest will be

Interest = 11586.50 - 10000

Interest = 1586.50

The amount of interest is $1586.50.

D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]

Then the interest will be

Interest = 11592.74 - 10000

Interest = 1592.74

The amount of interest is $1592.74.

More about the compound interest link is given below.

https://brainly.com/question/25857212

Answer:

The 3rd one if I'm not mistaken. Correct me if I'm wrong, I'm so so sorry if it's incorrect

Answer:

Each leg of the right triangle is equal to the radius of the sphere.

Step-by-step explanation:

I took the quiz and it was right

Answer:

1.) 3

2.) 2

3.) 4

Answer:

Angle ABD is 16 degrees and Angle DBC is 74 degrees

Step-by-step explanation:

Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)

Answer:

CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)

Step-by-step explanation:

GIVEN:

Walt grew 10 cm in one year

He is now 1.6m

SOLUTION:

We know that 1 m = 100cm

So 1.6 m = 160cm

So one year ago he was:

160 - 10 = 150cm

So he was 150 cm or 1.5 m one year ago.

Answer:

B

Step-by-step explanation:

screws:bolts

4:7 = 1

80:140 = 20

The number of times that it is likely to land in the shaded area will be 40 times out of 100 times.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

A dart is thrown at the board 100 times at random.

The number of times that dart hit the board is 40 times. Then the probability is calculated as,

P = 40 / 100

P = 2/5

P = 0.40 or 40%

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

The percent of increase is 5%

Step-by-step explanation:

Answer:

114.9 meter

Step-by-step explanation:

v=(2/3)πr^3

diameter=2r

r=7.6/2

r=3.8

(2/3)π* (3.8)^3

~36.58π meter

if the teacher wants you to use 3.14 as π (like instead of writing the symbol of π), then 36.58*3.14=114.9 meter