Calculate the surface area. Be sure to show how the area of each face is calculated.

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

The answer is B

seeing there are 3 way to put it

(a+b)(a-b)=a 2-b 2

(a+b)(a-b)=a^2-b^2

(a+b)(a-b)=a2-b2

and option B matches with the second way to put it i hope this helps

Answer:

y =8

x=80

Step-by-step explanation:

5y-10=3y+6

5y-3y=6+10

2y =16

y=8

x+30+x-10=180

2x+20=180

2x=160

x=80

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -9      y_1= -3  

     m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

Answer:

D, I think…

Step-by-step explanation:

I used PEMDAS to go through and simplify and see which values match.

Answer:

4.06 i think

Answer:

  112.30 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...

  Tan = Opposite/Adjacent

  tan(66°) = height/(50 ft)

Solving for the height gives ...

  height = (50 ft)tan(66°) ≈ 112.30 ft

The height of the building is about 112.30 feet.

Answer:

D no. is for sure another I also don't know. So sorry.......

9 m length and 5m width.

perimeter

perimeter of rectangle= l+l+b+b

= 9+9+5+5

= 28m

Answer:

7/5 y intercept 1

Step-by-step explanation

Answer:

B: slope 5/7 Y-intercept is 1

Step-by-step explanation:

To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.

The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.

the Y intercept is 1 because on the vertical line the line passes through 0,1.

Answer:

AnB = { 2,4}

Step-by-step explanation:

A={1,2,3,4,5} and B={2,4}

AnB  means A intersect B or what is common to both A and B

AnB = { 2,4}

Answer:

12 eggs/carton

Step-by-step explanation:

The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton

2000 pounds =1ton

to convert just take the number of pounds and divide by 2000 (eg: 3000 pounds divided by 2000 will give you 1.5tons)

[2000pounds = 1ton]

1.5x2000 =3000(this is to go from ton to pound

just multiply the tons by 2000

hope this helps

Answer:

The answer is A. {2,4}

Step-by-step explanation:

I took the test on edmentum. 100%

Answer:

125

Step-by-step explanation:

Assuming the lines are parallel :

n = 180-125

= 55

x = n

x = 55

z = 180-55

= 125

What we know:      

[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]                

(Also, [tex]3^2=9[/tex])

What we need to solve:

[tex](f-g)(x)[/tex]             (This is equal to [tex]f(x)-g(x)[/tex])

How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:

[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]

Thus, the answer would be:

[tex]12x+5[/tex]

3/8 = 0.375

2/3 = 0.667

0.375 + 0.667 = 1.042

answer : c. no, because 3/8 + 2/3 is more than 1

Answer: x>2

Step-by-step explanation:

[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]

Step 1: Simplify both sides of the inequality through the Distributive Property

[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]

Step 2: Subtract 2 from both sides to isolate x

[tex]5x+2-2 > 12-2\\5x > 10[/tex]

Step 3: Divide both sides by 5 to full isolate x

[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]

This means that x can be any value that is greater than 2.

Hope this helps!

Answer:

50 degrees

Step-by-step explanation:

the attached photo might help

Area of triangle:-

Area of rectangle (Including semicircle)

Area of semicircle

TOTAL area:-

Answer:

231.48 cm²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.

Area of the rectangle:

= 12 x 21

= 252 cm²

Area of the semicircle:

= 1/2 π(12 ÷ 2)²

= 1/2 · 3.14 · 6²

= 1/2 · 3.14 · 36

= 56.52 cm²

Area of the triangle:

= 1/2 x 6 x 12

= 36 cm²

Shaded area:

= area of rectangle - area of semicircle + area of triangle

= 252 - 56.52 + 36

= 194.48 + 36

= 231.48 cm²

168,581

________________________________________________________

Follow PEMDAS

Always start with the top of the list, parentheses. Prioritize anything in parentheses.

[tex](24,672 - 589)[/tex]

start in hundreds place, then subtract from there.

[tex](24,672 - 589) = 24,083[/tex]

Next, multiply by 7.

[tex]24,083 * 7 = 168,581[/tex]

________________________________________________________

Ask in the comments box.

Answer:

2.3% is the percentage of the Salary

Step-by-step explanation:

Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓

15=3/8x (let x be the number)

Multiply by 8 on both sides to get rid of the fraction :

15*8=3x

120=3x

divide by 40 on both sides ↓

40=x

hope helpful ~

Answers:

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

Explanation:

Answer:

Class C has least variability and Class B has highest variability.

I think it will help you

Range= Large- Small Data

Answer:

1.9

Step by step answer

step1 finding the mean

(7+4+7+7+2+10+12+8+7+5)/10 = 6.9

step2 Difference between each data

Difference between 7 and 6.9 is 0.1

Difference between 4 and 6.9 is 2.9

Difference between 7 and 6.9 is 0.1

Difference between 7 and 6.9 is 0.1

Difference between 2 and 6.9 is 4.9

Difference between 10 and 6.9 is 3.1

Difference between 12 and 6.9 is 5.1

Difference between 8 and 6.9 is 1.1

Difference between 7 and 6.9 is 0.1

Difference between 5 and 6.9 is 1.9

step3 add all the Difference

0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4

step4 divde it by n

19.4/10 = 1.9

so the answer is 1.9

Answer:

139 degrees

Step-by-step explanation:

The sum of the interior angles of a polygon :

sum = ( n-2) * 180      where n = number of sides

For this one there are 5 sides

    so  ( 5-2) * 180 = 540 degrees

angle U = 90 degrees

90  + 82  + Y  + 121 + 108 = 540         Y=139  degrees

Answer:

It is C. 139

Step-by-step explanation:

Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees

V=90+28=118 degrees

152+118=270 degrees

270+311=581

720-581=139 degrees

The answer is C. 139 degrees