In a board game, each player must roll a number cube and spin a spinner. The number cube is labeled with the numbers 1 through 6 and the spinner
consists of 8 equal parts shown below. What is the probability you will roll a 3 and land on red?

1/10
3/8
1/24
2/3

Part A

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

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

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Part B

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

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

The area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, Keng is painting on a rectangular canvas with a width that is four inches longer than the height,

w = h+4, height = h

Area = (length)x(height)

area = (h+4)x(h)

area = h(h+4)

area = h² + 4h

With the frame,

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Keng added a 3-inch-wide frame around the painting,

Therefore,

The h+4 will become h+4+3+3 = h+10

Similarly, along the vertical side = h+3+3 = h+6

Area = (h+10)(h+6) = h²+16h+60

Hence, the area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

Learn more about areas, click;

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#SPJ2

Answer:$48230 that will be your answer

Step-by-step explanation:$42,500+65=$48230

Answer:

2550

Step-by-step explanation:

6% x 42500

[tex]\frac{6}{100}[/tex]x[tex]\frac{42500}{1}[/tex]=[tex]\frac{255000}{100}[/tex]=[tex]\frac{2550}{1}[/tex]=2550

2550 turns into 25.50

42500+ 25.50= 42525.50

Please mark brainliest

Answer:

Step-by-step explanation:

1/2

Answer:

B: 12.9

Step-by-step explanation:

If A B and C are the alternatives, the answer is B: 12.9

The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.

And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6

Any questions, comment.

Answer:

B

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin57° = 12 ( divide both sides by sin57° )

x = [tex]\frac{12}{sin57}[/tex] ≈ 12.9 ( to 1 dec. place ) → B

Answer:

Step-by-step explanation:

i dont know

Answer:

X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Lulu raised 3/4 of a money for field trip

1/2 of that money came from candy sales

The money that came from the candy sales can be calculated as follows

= 1/2 × 3/4

= 3/8

Answer:

2(x-7)

Step-by-step explanation:

Factor 2x−14

2x−14

=2(x−7)

Answer:

2(x−7)

Answer:

24542.26 is the final balance

Answer:

x = 10.8

Step-by-step explanation:

Cos∅ = adj/hyp

Cos26 = x/12

Multiply both sides by 12

12 * cos26 = x

Use calculator

10.785528555590004 = x

Round

x = 10.8

Answer:

V=about 900 cubed feet

Step-by-step explanation:

V=pi(5^2)12

V=pi(25)12

V=pi(300)

V is about 900 cubed feet

Brainliest plz?

Answer:

900 ft cubed

Step-by-step explanation:

v=pi*r sqaured* h

The radius is 5 and sqaure 5 to get to 25. Multiply that by pi, which in your case is 3, and you get 25. Then mulitply that by 12, height, and you get your answer is 900.

Lmk if you need more help

Also, to do this on the calulator is easy as well. Just times pi(3 for you) by the raduis twice and then times that by the height. For example, for this question, I just typed in my calculator, 3 times 5 times 5 times 12 and I got 900.

Sorry if this doesn't make sense lol I'm not good at explaining things.

Answer:

David is 30

Jacob is 9

Step-by-step explanation:

The sum of David and Jacobs age is 39

d + j = 39

d = 39 - j

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

Two years ago David was four times Jacobs age

(d - 2) = 4(j - 2)

d - 2 = 4j - 8

d = 4j - 6

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

Set the equations equal

4j - 6 = 39 - j

5j = 45

j = 9

d = 4(9) - 6

d = 30

Answer:

b, 418.57

Step-by-step explanation:

subtract the total his family is contribution from tuition then divide by total months remaining

please rank brainliest

Answer:

3 1/3 miles per hour

Step-by-step explanation:

(5/2 ÷ 3/4) = (s ÷1)

(5/2 ÷ 3/4) = 10/3

10/3 = s/1

cross-multiply:

3s = 10

s = 10/3

s = 3 1/3 miles per hour

Answer:

3 1/3 mph

Step-by-step explanation:

-____________________-

Answer:

Isosceles triangle.

Step-by-step explanation:

In order to determine the nature of the triangle, we will need to get the sides XY, XZ and YZ using the distance formula;

For XY;

X(-4,2), Y(4.2)

XY = √(2-2)²(4-(-4)²)

XY = √(4+4)²

XY = √8²

XY = 8

For XZ;

X(-4,2), Z(0, - 1)

XZ = √(-1-2)²(0-(-4))²

XZ = √(-3)²+4²

XZ = √9+16

XZ = √25

XZ = 5

For XZ;

Y(4.2), Z(0, - 1)

YZ = √(-1-2)²(0-(4))²

YZ = √(-3)²+(-4)²

YZ = √9+16

YZ = √25

YZ = 5

Since XZ = YZ = 5, this shows that two sides are equal. Hence the triangle is an isosceles triangle.

NB: Isosceles triangle only have two of its sides and angles equal

Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.

K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines

Answer:

D. (0, –2); maximum

Step-by-step explanation:

To plot  

( 0 , − 2 )

, start at the origin  

( 0 , 0 )

and move right  

0

units and down  

2

units.

( 0 , − 2 )

To plot  

( − 2 , 0 )

, start at the origin  

( 0 , 0 )

and move left  

2

units and up  

0

units.

( − 2 , 0 )

To plot  

( − 2 , 0 )

, start at the origin  

( 0 , 0 )

and move left  

2

units and up  

0

units.

( − 2 , 0 )

To plot  

( 0 , − 2 )

, start at the origin  

( 0 , 0 )

and move right  

0

units and down  

2

units.

( 0 , − 2 )

Answer:

A. 9x + 4

Step-by-step explanation:

Perimeter of a triangle = side A + side B + side C

Side A = 2.5x + 3

Side B = x + 6

Side C = 5.5x - 5

Perimeter of a triangle = side A + side B + side C

= (2.5x + 3) + (x + 6) + (5.5x - 5)

= 2.5x + 3 + x + 6 + 5.5x - 5

= 2.5x + x + 5.5x + 3 + 6 - 5

= 9x + 4

Perimeter of a triangle = 9x + 4

The correct answer is A. 9x + 4

Answer:

20 cm²

Step-by-step explanation:

1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

n = 28.

Step-by-step explanation:

70 divided by 2.5 is 28

Answer:

4 1/2 ft

Step-by-step explanation:

.

Answer: Your total payment: $27.33

How much you saved: $6.83

The tax: $1.73

Step-by-step explanation:

Complete Question:

Write a formula for the given measure. Let P represent the perimeter in inches, and w

represent the width in inches. Identify which variable depends on which in the formula.

*The perimeter of a rectangle with a length of 5 inches

Answer:

P = 2(5 + w)

Or

P = 20 + 2w

P is the dependent variable

w is the independent variable

P depends on w.

Step-by-step explanation:

Given:

Perimeter of rectangle = P

Width of the rectangle = w

Length of the rectangle = l = 5 in.

Formula for perimeter of a rectangle = 2(length + width)

Plug in the values. Formula for the given measure would be:

P = 2(5 + w)

Or

P = 20 + 2w

P is the independent variable, while w is the dependent variable.

This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,

P depends on w.

comparing value

3x+2=-3x-2

6x=-4

x=-4/6Have solution.

y=-2x+10

y=-2x+10

both are equal So no solution.

3rd

y=-x+4

y=-x+4

both are equal So no solution

4th

3x+y=8

3x+y=9

both are equal So no solution

Answer:

Step-by-step explanation:

Answer:

6 x 10 = 60, 60 divided by 2 ( x 1/2 ) = 30

Step-by-step explanation:

Formula area of a triangle:

B(base)H(height) x 1/2

In this case 10 is your base and 6 is your height.

The area of the shade triangle is 30m².

By convention, the area of a triangle is given as;

Area = (1/2) × base × height

Hence, Area, A of the shaded triangle is;

Read more on area of a triangle;

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Answer:

(0, -4)

Step-by-step explanation:

The rectangular form is expressed as;

x = rcos theta

y = rsin theta

Given the coordinate  (4, 3π/2)

r = 4

theta = 3π/2

Substitute

x = 4cos3π/2

x = 4cos270

x = 4(0)

x = 0

y= 4sin3π/2

y = 4sin270

y = 4(-1)

y = -4

Hence the required coordinate is (0, -4)