What is the circumference of the given circle in terms of pi.

Answer:

45, 135

Step-by-step explanation:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

9 x 5 = 45

12 x 5 + 75 = 135

Answer: C.

Step-by-step explanation: In a linear function, both numbers rise or fall in a steady way. This means the answer would be c, where the x rises in increments of one, and y increases by multiplying by three each time.

Reason:

The mode is the number that shows up the most.

In this case, it would be 59 because it shows up twice, which is the most compared to any other number (which only show up once).

Answer:

0,5

Step-by-step explanation:

Answer:

m = -10.7

Step-by-step explanation:

m + 4.1 = -6.6

Subtract 4.1 from both sides:

m + 4.1 = -6.6

    - 4.1    - 4.1

m = -10.7

Final answer: m = -10.7

Hope this helps!

Answer:

Total surface area=

304+9pi

~= 332.3

Step-by-step explanation:

Surface area is the areas of all the parts/sides/surfaces of the shape all added together.

There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.

The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)

BOTTOM: 8×10 =80

SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.

There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80

For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.

CIRCLE (under the dome):

Area of a circle is A=pi•r^2= pi•3^2

A = 9pi

So the flat TOP is:

80 - 9pi ~= 51.7

The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.

DOME =

4pi•3^2•(1/2)

= 4pi•9•(1/2)

= 18pi

~= 56.5

Now add up all the pieces:

80+64+80+80-9pi+18pi

= 304+9pi

~= 304 +28.3

= 332.3

Answer:

Angle<8 corresponds with angle<3

Step-by-step explanation:

Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,

Angle 1 and Angle 6 are corresponding angles

Angle 3 and Angle 8 are corresponding angles

Angle 2 and Angle 5 are corresponding angles

Angle 4 and Angle 7 are corresponding angles

Answer:

I think its B

Step-by-step explanation:

Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

7000_1.8%=61.2%this is the answer

Answer:

the answer is 15

Step-by-step explanation:

density= total population/surface area

density= 375/5^2

density=375/25=15

Answer:

when x=1

y= 3 × 1 = 3

when x=2

y= 3 × 2 = 6

when x=3

y= 3 × 3=9

i hope my answer was helpful and please mark me as brainliest

Answer:

x=8

Step-by-step explanation:

the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.

4^2 = 2x

16=2x

16/2 =x

8=x

Polynomials are the algebraic expressions that consist of variables and coefficients.

The Closure property of addition states that in a defined set, for example, the set of all positive numbers is closed with respect to addition since the sum obtained adding any 2 positive numbers is also a positive number which is a part of the same set.

Closure property of subtraction states that if any two real numbers a and b are subtracted from each other, the difference or result will be a real number as well. For example, 9 - 4 = 5.

Learn more about polynomial on:

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The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The measure of angles are given as,

To create a triangle with these angles, the sum should be equal to 180 degree of three angles.

90+100+30 > 180

90+90+30 > 180

90+90+100 > 180

100+100+30 > 180

30+100+30 < 180

30+90+30 < 180

There is no combination of angles, which is equal to the 180 degree.

Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

Learn more about the triangle angle sum theorem here;

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Answer:

  72 cm²

Step-by-step explanation:

The shaded area is 1/4 of the rectangle, so the unshaded area is 3/4 of the rectangle--3 times the area that is shaded.

__

  Unshaded area = 3 × 24 cm² = 72 cm²

The region that is not shaded has an area of 72 cm².

_____

You can mark the midpoint of MR as point S, and draw segment PS. That will divide the rectangle into 4 congruent triangles, one of which is shaded. The congruent triangles all have the same area, so the shaded area is 1/4 of the total area, and the unshaded area is 3 times the shaded area.

Answer:

^2D its because the shed has only two faces

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

Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.

Answer: Choice C

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

Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{27x {}^{ - 3} {y}^{8} } [/tex]

Now, let's get the common terms out :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 {x}^{2} y {}^{ - 1}}{3 {x}^{2} {y}^{ - 1}(9 {x}^{ - 5} {y}^{9} )} [/tex]

cancel out the common terms in numerator and denominator

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{9 x {}^{ - 5} {y}^{9} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ {x}^{5} }{9 {}^{ } {y}^{9} } [/tex]

So, the correct choice is C

Answer:

[tex] {2x}^{3} - 3yz[/tex]

[tex]2 {( - 1)}^{3} - 3( - 2)(3)[/tex]

[tex] - 2 +6(3)[/tex]

[tex] - 2 +18[/tex]

(-)+(+)=(-)

[tex]-16[/tex]

Answer:

Zero

Step-by-step explanation:

Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero

Answer: Use pemdas to solve

Friday:

(13.5 + 18.5) ÷ 2

= 16

Saturday:

18 - (2 x 4)

= 10

Sunday:

20 - (5 - 3)

= 18

Step-by-step explanation:

Phillipa rode her bicycle the most on Sunday.

Hope this helps.

Answer:

200^2

Step-by-step explanation:

Answer:

Each person received 3 slices and 3 are left

Answer:

D) Each person receives 3 slices, and there are 3 slices left over

Step-by-step explanation:

If each pizza was cut into 8 slices, then there were 3*8=24 slices.

If we attempt to share 24 slices with 7 people, there would be 3 slices for each person, with 3 left over since 7*3=21, and 21+3=24.

Answer:

3x² - 3x + 16 = 0

Step-by-step explanation:

Standard form :

Solving :

Standard form ax²+bx+c=0

Done

Answer: [tex]\displaystyle (5.35, -5.35)[/tex]

Step-by-step explanation:

   We will use the midpoint formula. See attached or view below.

What does this formula do? We are, essentially, finding the average for the x-values and y-values.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]

[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]

[tex]\displaystyle (5.35, -5.35)[/tex]

Answer:

sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)

the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)

the third one for -5x+2y=11 for x is NONE and y is 8

the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)

Step-by-step explanation:

Area of hexagon

Now

area of upper 6 triangles

Total area

Answer:

770 m²

Step-by-step explanation:

The surface area of a regular pyramid comprises the area of the base (regular polygon) and the area of each of the slanted sides (triangles).

Apothem:  The line segment from the center of the regular polygon to the midpoint of one of its sides.

Area of the base

The base of the prism is a regular polygon with 6 sides (hexagon).

[tex]\textsf{Area of a regular polygon}=\sf \dfrac{1}{2}nsa[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Base area}& =\sf \dfrac{1}{2}\cdot 6 \cdot 12 \cdot 6\sqrt{3}\\ & = \sf 216\sqrt{3}\:m^2\end{aligned}[/tex]

Area of one side

The sides of the regular pyramid are congruent triangles.

[tex]\textsf{Area of a triangle} = \sf \dfrac{1}{2} \times base \times height[/tex]

Given:

Substitute the given values into the formula:

[tex]\implies \textsf{Area of a triangle} = \sf \dfrac{1}{2} \times 12 \times 11=66\:m^2[/tex]

Total Surface Area

[tex]\begin{aligned}\implies \textsf{Total Surface Area} & = \sf base \: area + 6 \times side \: area\\& = \sf 216\sqrt{3}+6 \cdot 66\\& = \sf 216\sqrt{3}+396\\& = \sf 770\:m^2\:(nearest\:whole\:number)\end{aligned}[/tex]

x^2 = (16)^2 + (16)^2

x^2 = 256 + 256

x^2 = 512

x = 16√2