Estimate the product. 8.2 × 4.93 Select the best estimate. 32 40 320 400

Answer:

the measure of <BAC = 60° and

46) option D is not true

Question 45

The two remote interior angles 3x and 2x add to the exterior angle 150. This is an application of the remote interior angle theorem

2x+3x = 150

5x = 150

x = 150/5

x = 30

angle BAC = 2x = 2*30 = 60 degrees

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Question 46

Choice A is true because of what I mentioned in the previous problem.

Choice B is true because we can find that angle C is 180-150 = 30. Then we can say A+B+C = 2x+3x+30 = 180 as all three interior angles of any triangle always add to 180.

Choice C is true since the equation above x = 30 can be written as 3x-2x = 30. It's a bit of a strange thing to do this, but it's still a valid statement.

Choice D is not true since 2x+3x is 150, which isn't 180 or larger. Even if we didn't know about the 150 at all, we still can't have 2 interior angles of a triangle add to 180 or larger (refer back to choice B).

Answer:

≈ 33.2 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d = [tex]\sqrt{(-22-9)^2+(8+4)^2}[/tex]

   = [tex]\sqrt{(-31)^2+12^2}[/tex]

   = [tex]\sqrt{961+144}[/tex]

    = [tex]\sqrt{1105}[/tex] ≈ 33.2 ( to 1 dec. place )

Answer:

She will owe approximately $8,427.40 after three years.

Step-by-step explanation:

The compound interest formula is

A = P(1 + r/n)^(nt)

where A is the final amount; P is the principal, or initial, amount; r is the interest rate, as a decimal; n is the number of times the interest is applied per year; and t is the amount of time, in years.

By substituting the values in and assuming that the interest is compounded every year, we get:

A = 8,000(1 + 0.0175)^((1)(3))

8,000(1.0175)^3

8,000(1.05342411)

8,427.40.

Answer:

140 laps and 7,000 idk on this tho

Step-by-step explanation:

I think the answer is 3$ because if you divide each item by the price you get 1 3 and 5 3 is more likely to be the middle so that would be your average price the unit rate of each of the items is dividing the price by the number of items to get the price of one item or your unit rate.

Answer:

Rational

Step-by-step explanation:

4.5656565656... can be turned into a fraction. The number is a repeating decimal. Repeating decimals are rational numbers.

4.5656565656... = [tex]4\frac{56}{99}[/tex]

Hope this helps.

Answer:

124.77

Step-by-step explanation:

Matthew opened a checking account with 150

On Monday he bought lunch for 9.30 and wrote a check for 25.75

He deposited 75 on Wednesday

On thursday 65.18 was deducted from the account for his car insurance

The total expenses incurred on Monday can be calculated as follows

=9.30+25.75

= 35.05

This means that 35.05 will be debited from his account

On wednesday, he made a deposit of 75, this implies that a credit will be made to his checking account

On thursday, 65.18 was removed from his account for car insurance

Therefore since the initial balance of the account was 150 then, the remaining money that will be left in his account can be calculated as follows

= 150-35.05+75-65.18

= 124.77

Hence the money remaining in Matthew's account is 124.77

Answer:

The answer is 124.77

Step-by-step explanation

Answer:

Arithmetic

Step-by-step explanation:

  Because arithmetic sequences are sequences where the values have a constant change. But Geometric sequences are when the ratois of the values have constant change.

Hope This Helped :)

Answer:

549.5

Step-by-step explanation:

The formula for the Volume of a right cylinder is V= π r² h. First you are going to substitute the 5 with the r and the 7 with the h. V= (3.14)5²(7). 5²= 25.

3.14 (25)=78.5

78.5 (7)=549.5

Answer is 549.5

Answer:

13a+1

Step-by-step explanation:

Answer:

13A + 1  Hope this helped:)

Answer:0.00007=7×10−5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

PLEASE HELP 15 points

Answer:

please add a picture or the rest pf the question and i might be able to help thank you :)

Step-by-step explanation:

Answer:

Water flows through a pipe at a rate of about 502 milliliters per hour.

Step-by-step explanation:

1 Pint is equal to 473.176 Milliliter

There are 8,760 Hous in a Year

---------------------------------------------

9,300 Pints is about 4,400,541 Milliliters

4,400,541 divided by 8,760 is 502.344863014

Thats about 502 Milliliters

:)

Answer:12

Step-by-step explanation:6+(5+1)

5+1=6

6+(6)=12

Answer:

[tex]d = \sqrt[2]{34}[/tex]

Step-by-step explanation:

We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).

Use the following distance formula:

[tex]distance[/tex] [tex](d) =[/tex] [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - x_{2})^2 }[/tex]

Let:

Point B(2 , -5) = (x₁ , y₁)

Point A(-4 , 5) = (x₂ , y₂)

Plug in the corresponding numbers to the corresponding variables.

[tex]d =[/tex] [tex]\sqrt{(-4 - 2)^{2} + (5 - (-5))^{2} }[/tex]

Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.

[tex]d = \sqrt{(-6)^{2} + (5 + 5)^{2} } \\d = \sqrt{(-6 * -6) + (10)^2} \\d = \sqrt{(36) + (10 * 10)} \\d = \sqrt{36 + (100)} \\d = \sqrt{136}[/tex]

Simplify:

[tex]d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}[/tex]

[tex]d = \sqrt[2]{34}[/tex] is your answer.

~

Answer:

Length is 5, width is 3.

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

Where P is the perimeter, l is the length, and w is the width.

With the original length and width, the perimeter is 16, thus:

[tex]16=2l+2w[/tex]

Now, if we double the length, the 2l will become 4l. Also, the perimeter will change to 26. Thus:

[tex]26=4l+2w[/tex]

Now, we have a system of equations. We can solve it using elimination. Multiply everything by -1 in the first equation:

[tex]16=2l+2w\\-16=-2l-2w[/tex]

Now, add the equations:

[tex]-16=-2l-2w\\26=4l+2w[/tex]

-16 plus 26 is 10. -2l plus 4l is 2l. The 2w cancel. Thus:

[tex]10=2l[/tex]

Divide both sides by 2:

[tex]l=5[/tex]

So, the original length was 5.

To find the original width, substitute 5 back into the first equation:

[tex]16=2(5)+2w[/tex]

Multiply:

[tex]16=10+2w[/tex]

Subtract 10 from both sides:

[tex]2w=6[/tex]

Divide both sides by 2:

[tex]w=3[/tex]

So, the original width was 3.

And we're done!

Checking:

Originally, our length was 5 and 3. This means that the perimeter is 2(5+3)=2(8)=16 which is correct.

After we double our length, our length will be 10. This means that the new perimeter is 2(10+3)=2(13)=26. So, our answers are correct!

Let's assume that length be L and width be B.

Perimeter of rectangle is given by,

Perimeter = 2( L + B)

So,

⇒ 16 cm = 2 ( L + B )

⇒ 8cm = L + B _______( Say equation 1)

Now, we are given that when length is doubled perimeter is 26.

So,

⇒ 26 cm = 2 ( 2 L + B )

⇒ 13 cm = 2 L + B

⇒ 13 cm = L + L + B

Now use equation-1

⇒13 cm = L + 8cm

⇒13 cm - 8 cm = L

⇒5 cm = L

Therefore length is 5cm.

Now substitute this value in equation 1

⇒L + B = 8 cm

⇒5cm + B = 8 cm

⇒B = 8 cm - 5 cm

⇒B = 3 cm

Therefore breadth is 3 cm.

Answer:

a^3 (a^4) = a^7

(2a)(5ab) = 10a^2b

Step-by-step explanation:

Answer:

:))

Step-by-step explanation:

Collect like terms, keeping the integer rules in mind

5. 5a + 9b - 3a + 2b + 4a

   5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)

   6a + 11b

6. 7m + 3n - 8m + 2n + 10m

   7m + 10m - 8m + 3n + 2n

   9m + 5n

10. 10m²n + 5mn + 9m²n - 2mn

     10m²n + 9m²n + 5mn - 2mn

     19m²n + 3mn

Try to do the rest on your own :)

Answer:

[tex]\huge\boxed{y=-x+9}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

From the graph we have the y-intercept (0, 9) → b = 9.

Substitute it to the equation of a line:

[tex]y=mx+9[/tex]

From the graph we have the x-intercept (9, 0) → x = 9, y = 0.

Substitute to the equation:

[tex]0=9m+9[/tex]          subtract 9 from both sides

[tex]-9=9m[/tex]         divide both sides by 9

[tex]-1=m\to m=-1[/tex]

Finally:

[tex]y=-1x+9[/tex]

Answer:

The answer is 24

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

-4(-x-1)+2x+3=43

or, 4x+4+2x+3=43( when there is - sign in multiply the sign will be +)

or, 4x+2x+4+3=43( arranging the like terms)

or, 6x+7=43( adding both numbers)

or, 6x=43-7(when there is + sign in one side if it will go to another side it will be -sign)

or, 6x=36(substracting the numbers)

or, x=36/6(when there is multiply in one side there will be divide)

or, x=6

Hope it is helpful for you

Answer:

work is shown and pictured

Answer:

x = 11, y = 19.

Step-by-step explanation:

515x + 285y=11,080

x + y = 30

Divide first equation by 5:

103x +57y = 2216

Now multiply the second equation by -57:

-57x - 57y =  -1710

Adding the last 2 equations:

46x = 506

x = 506/46 = 11

Substituting for x in x + y = 30:

11 + y = 30

y = 19.

Answer:

59

Step-by-step explanation:

1. -35

2. +9

3. -23

4. +3

5. +5

6. -7

7. +125

8. -18

Add them all up in a calculator and you get 59

Answer:

x=84

Step-by-step explanation:

1/7x +3=15

1/7x=15-3

1/7x=12

divide by 1/7

X=84

Answer:

I think B, AC = 5

Step-by-step explanation:

You can see that the shape, DEF and ABC, both hav a number at the bottom. So We know that there is a scale factor of 2, because 6÷3 is 2. So, if we wanna know what AC is we can divide 10, from DEF, by two, we get 5. So, AC is equal to 5. :)

Answer:

Surface Area would be 200² inches.

Step-by-step explanation:

SA=2(12*9)+2(9*2)+2(12*2)

SA=2(108)+2(18)+2(24)

SA=216+36+48

SA=200² in.

Answer:

D'(1, - 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of D by [tex]\frac{1}{2}[/tex] , that is

D(2, - 2 ) → D'([tex]\frac{1}{2}[/tex] (2) , [tex]\frac{1}{2}[/tex] (- 2) ) → D'(1, - 1 )