What is the equation of the line?
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Answer:

Q: (5,-2)

R: (4,-8)

A: (8,-6)

Step-by-step explanation:

This is the easiest thing you can do!

When working with coordinates you know that words like right and left indicate the x-axis. This is because the x-axis is horizontal.

Up and down indicate the vertical y-axis.

Going right and going up is positive.

Going left and going down is negative.

If the problem tells you to go right it means to add that value to the given coordinate.

X values

Q:-2+7=5

R:-3+7=4

S:1+7=8

If the rule states to go down it means to subtract the value (you’re going down) from the already given coordinate.

Y values

Q:2-4=-2

R:-4-4=-8

S:-2-4=-6

Based on the calculations, the perimeter of the base is approximately equal to: D. 30 units.

First of all, we would determine the base area of the right pentagonal prism as follows:

Base area = volume/height

Base area = 840/14

Base area = 60 square units.

Next, we would determine the base edge of this pentagon by using this formula:

[tex]A = \frac{a^2}{4} \sqrt{5(5 \;+\;2\sqrt{5} )} \\\\60 = \frac{a^2}{4} \times 6.88\\\\6.88a^2 = 240\\\\a^2 = 240/6.88\\\\a=\sqrt{34.88}[/tex]

a = 5.91 units.

For the perimeter of the base, we have:

P = 5a

P = 5 × 5.91

P = 29.55 ≈ 30 units.

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Answer:

2×9=9+9

Step-by-step explanation:

Answer: B, A, C, D ??

Step-by-step explanation: Find the slope by Rise/ Run.

Hope this helps!

Answer:

See bold face answers below.

Step-by-step explanation:

10.

The legs of a 45-45-90 triangle are always congruent.

11.

The shorter leg is always opposite the 30-deg angle and the longer leg is always opposite the 60-deg angle.

Answer: D - 2/3 x- 13/12 = -5/12 x

Step-by-step explanation:

The equivalent equation is 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'. This is achieved by adding and subtracting appropriate fractions on both sides of the original equation to balance it.

The question asks which equation is equivalent to 'Two-thirds x minus StartFraction 5 Over 6 EndFraction equals negative StartFraction 5 Over 12 EndFraction x + one-fourth'. The correct equivalent equation for this is 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'.

To find this, take the original equation, and add StartFraction 5 Over 6 EndFraction to both sides which will result in Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x plus one-fourth. Then, subtract one-fourth from both sides, resulting in 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'.

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The probability of getting the same colour twice when a fair spinner with 10 sections (3 red, 4 blue, 3 green) is spun twice is 34%.

This question is about the concept of probability in Mathematics. Since the spinner is spun twice and we want the same colour both times, we need to calculate the probability for each colour and then add them together.

There are 10 sections in total on the spinner, with 3 being red, 4 being blue, and 3 being green:

So the total probability of getting the same colour twice is 9/100 + 16/100 + 9/100 = 34/100 = 0.34 or 34%.

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Answer:

<ABE and <DBC

Step-by-step explanation:

The answers are adjacent to the angle <ABC because of they are vertical angles and share the same vertex point - the B is considered as the vertex or as the midpoint between the values. The angles <ABE and <DBC are congruent to <ABC

∠ABE and <DBC are the two angles that are adjacent to ∠ABC.

Coordinate geometry is defined as the study of geometry using the coordinate points.

An angle is formed when two straight lines or rays meet at a common endpoint.

The two angles are said to be adjacent angles when they share the common vertex and side

B is the common vertex.

The vertex of an angle is the common endpoint of two rays that form the angle.

We need to find the adjacent angles of ∠ABC.

∠ABE and  <DBC are the  adjacent angles of ∠ABC as they having the same vertex B.

They are vertical angles and share the same vertex point B.

The two angles that are adjacent to ∠ABC are ∠ABE and <DBC are

Hence, ∠ABE and <DBC are the two angles that are adjacent to ∠ABC.

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Answer:114% percent of her budget is used to entertain

Step-by-step explanation: You just add up all the money and minus it by 40%

Answer: The area is 19.625 cm^2

Step-by-step explanation:

For the area of a circle, the equation is:

A = pi*r^2

where pi = 3.14 and r is the  radius of the circle, and the radius is half the diameter.

We have that the diameter is 5 cm, then the radius is:

r = 5cm/2 = 2.5 cm

Then the area is

A = 3.14*(2.5cm)^2 = 19.625 cm^2

Answer:

[tex]19.63 cm^2[/tex]

Step-by-step explanation:

Diameter of the Cross-Sectional Area=5 cm

Radius =Diameter/2

Therefore, Radius of the Cross-Sectional Area of the Cylindrical Pipe =5/2=2.5cm.

[tex]\text{Area of a circle, A=} \pi r^2\\=3.14*2.5^2\\=19.625\\$Area of the circle \approx 19.63 cm^2 $ (to the nearest millimeter)[/tex]

The Cross-Sectional Area of the cylindrical pipe is [tex]19.63 cm^2[/tex].

Answer:

i dont know but i need points

Step-by-step explanation:

so yea have a nice day

Answer:

B

Step-by-step explanation:

If you put line b and the triangles on a graph with line b as one of the axes then it will be a lot more clearer.

Follow the order of PEMDAS:

You would multiply 10x10 first. That would give you 100

Then you would add 100+10. That would give you 110

Your answer would be 110 :)

Answer:

That would be 101 :)

Step-by-step explanation:

Answer:

c = 27/40

Step-by-step explanation:

1/8+c=4/5

Subtract 1/8 from each side

1/8 - 1/8+c=4/5-1/8

c = 4/5 - 1/8

The common denominator is 40

4/5 *8/8 =32/40

1/8 *5/5 =5/40

c = 32/40-5/40

  =27/40

1/8 + c = 4/5

Multiply by common denominator 40=5(8).

5 + 40c =32

40c = 32-5 = 27

c = 27/40

Answer: c = 27/40

Answer:

C

Step-by-step explanation:

The answer for this question is C I THINK

Answer:

If you meant to type rhombus, instead of fhombus than d is your answer.

Step-by-step explanation:

It is not square because a square has 4 right angles. It isn't rectangle because there isn't 4 equal sides, and isn't trapezoid because there isn't four equal sides either.

Final answer:

A polygon with 4 equal sides, 2 obtuse angles, and 2 acute angles is known as a rhombus, since squares and rectangles only have right angles, and trapezoids typically do not have 4 equal sides.

Explanation:

The polygon in question has 4 equal sides, 2 obtuse angles, and 2 acute angles. This description rules out a square (option A) and a rectangle (option B) since they only have right angles, and it rules out a trapezoid (option C) since a trapezoid typically does not have 4 equal sides. The remaining option is a rhombus (option D), which fits the given criteria. In a rhombus, all sides are indeed equal, and it can have 2 obtuse and 2 acute angles.

It's important to know that the sum of the interior angles in any quadrilateral is 360°, which holds true for a rhombus as well. In addition, understanding that angles on a straight line equal 180° can be helpful when analyzing the properties of quadrilaterals.

Answer:

20

Step-by-step explanation:

[tex](3x + 50) \degree = (6x - 10) \degree .. (vertical \:\angle s) \\ 3x + 50 = 6x - 10 \\ 3x - 6x = - 10 - 50 \\ - 3x = - 60 \\ x = \frac{ - 60}{ - 3} \\ \huge \red{x = 20}[/tex]

Answer:

x = 20

Step-by-step explanation:

the two angels are congruet meaning they have the same angle

to find x you plug the two equations equal to each other and solve for x

3x + 50 = 6x - 10

subtract 3x by both sides --> 50 = 3x - 10

add 10 to boths sides --> 60 = 3x

now to get x alone divide boyh sides by 3 --> 60/3 = x

x = 20

Answer:

I think its 20 units I could be wrong though

Step-by-step explanation:

The radius of the cylinder = 19.99 units

[tex]V=\pi r^{2} h[/tex], where 'r' is the radius and 'h' is the height of the cylinder.

For given example,

the height of the cylinder (h) = 7 units

the volume of the cylinder (V) = 8792 cubic units

Using the formula for the volume of the cylinder,

⇒ V = π × r² × h

⇒ 8792 = π × r² × 7

⇒ r² = 8792/(7 × π)

⇒ r² = 399.8

⇒ r = 19.99 units

Therefore, the radius of the cylinder = 19.99 units

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Answer:

(3x-4)(2x+3)

Step-by-step explanation:

Answer:

45. B, 9 + 0 = 9

46. D. 9 x 1 = 9

47. D. 0

48. B. 1/6 x 6 = 1

49.  A

Step-by-step explanation:

The answer is less than because if you grab a calculator and do 8 squared then you get 2.82842712475.

Answer:

you get random numbers when you use a calculator

Step-by-step explanation:

Answer:

$103968.11.

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

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

where,

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

[tex]A=240000(1+\dfrac{0.012}{24})^{24(30)}[/tex]

[tex]A=240000(1.0005)^{720}[/tex]

[tex]A=343968.11[/tex]

Now,

[tex]Interest=A-P[/tex]

[tex]Interest=343968.11-240000[/tex]

[tex]Interest=103968.11[/tex]

Hence, the interest is $103968.11.

Final answer:

The total interest paid on a $240,000 loan with a 1.2% interest rate compounded bimonthly over 30 years is $103,875.4

Explanation:

Calculating Compound Interest Over 30 Years

Mr. and Mrs. Rainer took out a $240,000 loan for their home with an interest rate of 1.2% compounded bimonthly. To calculate the total amount of interest they will pay after 30 years, we need to use the formula for compound interest:

A = [tex]P(1 + \frac{r}{n})^{nt[/tex]

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount ($240,000)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years the money is invested or borrowed for

First, convert the interest rate from a percentage to a decimal by dividing by 100:

r = 1.2% / 100 = 0.012

Since the interest is compounded bimonthly, it is compounded 6 times a year (n = 6). The loan is for 30 years (t = 30).

Now, we can substitute the values into the formula and calculate A:

A = [tex]$240,000(1 + \frac{0.012}{6})^{6*30[/tex]

A = 240,000 * 1.002¹⁸⁰

A = 343,875.4

We'll subtract the principal (P) from A to find the total amount of interest paid over the 30 years.

I = A - P

I = 343,875.4 - 240,000

I = 103,875.4

Answer: The volume of the mountain is 158.3 cubic kilometers.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= 1/3 π x radius² x height

Replacing with the values given:

V = 1/3 π (6)² 4.2

Solving for V (volume)

V = 1/3 π (36) 4.2 = 158.3 km³

The volume of the mountain is 158.3 cubic kilometers.

Feel free to ask for more if needed or if you did not understand something.

Answer:

150 blocks

Step-by-step explanation:

You can solve this by setting up an equation.

Assuming that x is the total amount of blocks,

0.44x=66

x=66/0.44=150 blocks. Hope this helps!

Answer:

150 blocks

Step-by-step explanation:

Rewrite the problem as shown below:

0.44x = 66 blocks

Then x (the original number of blocks) is (66 blocks)/0.44 = 150.

Answer: 8.9*10^(-6)

Step-by-step explanation: The exponent is negative so the scientific notation will be negative, then move the decimal point 6 places to the left.

Answer: 8.9×10^-6

Step-by-step explanation:

0.0000089

Looking at this value

In writing to scientific notation,

You count the 0's in front which is 5

So you move the decimal point to the back of 8

Now we have

8.9×10^-6

Answer:

11 cats

Step-by-step explanation:

I did trial and error.

I started with 16 cats and 17 dogs, so:

(16x$2.5) + (17x$4.5) = $116.5

The value is too low which means that they spent more money on the expensive side (i.e., dogs).

I ended up with 11 cats and 22 dogs, so:

(11x$2.5) + (22x$4.5) = $126.5

Answer:

37.3 miles

Step-by-step explanation:

180 - 59.83 - 55.54 = 64.63°

39/sin64.63 = X/sin59.83

X = 37.3157217 miles

Answer:

10 × 5

2 × 25

1 × 50

Step-by-step explanation:

Answer:

[tex]x = 8[/tex]

[tex]b = 70[/tex]

Step-by-step explanation:

[tex]8x + 6 = 4x + 38[/tex]

[tex]4x = 32[/tex]

[tex]x = 8[/tex]

[tex] 4(8) + 38 = 70[/tex]

Answer:

More of the children were close to 12 years old than 6 years old.

Step-by-step explanation:

The statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.

A box plot shows how a data is distributed, as it displays the five-number summary.

The five-number summary of the box plot representing the average age of children is:

Therefore, the statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.

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