Directions: Please show work to earn credit. Answers without any work are not worth any credit. Remember elegance and labeling of all units, as well as precision and accuracy. Read each question carefully and check your solutions.
1.
a.) Find the surface area of a right prism with the following dimensions:
Length: 12 cm
Width: 7 cm
Height: 9 cm

Answers

Answer 1

Answer:

The total surface area of this object is 510 cm^2.

Step-by-step explanation:

Here L = 12 cm, W = 7 cm and H = 9 cm.  

There are 2 panels 12 by 9 cm, 2 panels 12 by 7 cm, and 2 panels 7 by 9 cm.  The combined areas are:  

2(108 cm^2) + 2(84 cm^2) + 2( 63 cm^2)  =  510 cm^2 total area


Related Questions

PLEASE HELP 50 POINTS WILL GIVE BRAINLY

Answers

-4. Answer is negative 4

Answer:

-4. Answer is negative 4

Step-by-step explanation:

did on edge 2021

What is 4^4 in algerbra mathematics?

Answers

Answer:

256

Step-by-step explanation:

4 to the exponent of 4 = 256

If a cylinder has a radius of 10 cm and a surface area of 1800 cm2, what is its height?

ALSO

Why do you need to know the height of a cylinder to figure out its surface area?

Answers

Answer:

18.65 cm

Step-by-step explanation:

the surface area of a cylinder is the combination of the two circles (1 at the top, 1 at the bottom) and the area of the side wall or "mantle".

so, two equally sized circle areas and the side area.

this side area is nothing else than a rectangle that is bent around and connected to the circumference of both circles. therefore, the side lengths of this rectangle must be the cylinder height and the length of the circumference of the circles.

that is also why we need the cylinder height to get its surface area (and also volume by the way).

circle area : pi × r²

rectangle area : length × width

cylinder surface area = 2 circle areas + side rectangle area

=> 1800 = 2 × (pi×r²) + (2×pi×r)×h = 2×pi×100 + 2×pi×10×h

=> 1800 = 200×pi + 20×pi×h

=> (1800 - 200×pi) = 20×pi×h

=> (1800 - 200×pi) / (20×pi) = h = 18.65 cm

One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work

Answers

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

What is equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

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Ron took a multiple choice test. The test was 80 points and each question was worth 2 points. Write an equation to model the number of points Ron earned, y, if he got x questions incorrect.

Answers

Answer:

the equation is y=80-x

hope it helps

the answer is

y= 80 - 2x

To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____

Choices for blank 1.

A. 2
B. 3
C. 4
D. 5

Choices for blank 2.

A. Left
B. Right
NO LINKS!!

Answers

from blank one five

from blank two is right

Which measure describes the standard error of the mean?

A.
the central limit theorem
B.
the confidence interval
C.
the sample mean
D.
the standard deviation of the means

Answers

Answer: the standard deviation of the means (D)

Step-by-step explanation:

The perimeter of a square is 54 cm.Find the length of a diagonal, rounding to the nearest tenth

Answers

Answer:

19.09 = 19.1

Step-by-step explanation:

we can split the square into two right triangles. Becasue the perimeter of the square is 54cm, we know the each side is 13.5 cm (54cm / 4). Using the pythagoras theorem, the diagonal is 19.1 cm.

Johnny flipped a coin 450 times. His results are:

Heads: 240
Tails: 210

What is the experimental probability that the coin lands on heads?

Please help

Answers

The answer is 8/15. Hopefully this helped

Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles

Answers

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

Divide.
(2x2 + 13x + 9) = (x + 7)

Answers

I think the right question, should be like this,

= 2x² + 13x + 9/x + 7

So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.

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

P.S- Sorry for messing writing.

pleas help due to night​​

Answers

Answer:

w = 28.4 yds

Step-by-step explanation:

P = 12.7 + 4 + 2w

73.5 = 16.7 + 2w

56.8 = 2w

w = 56.8/2

w = 28.4

Answer:

w = 28.4 yards. Sorry need the points.

Graph ATUV with vertices T(-3, 2), UC-1, 0), and (4,-2) and its image after the glide reflection.

Answers

Answer:

T (2, 2)

U (4 , 0)

V (1, -2)

Step-by-step explanation:

The translation is (x + 5, y), meaning 5 is being added to the X-values and Y stays the same.

Jane is buying a jacket that regularly costs $54. However, the jacket is on sale for 25% off the regular price. A sales tax of 6% will be added to the final purchase price. How much will Jane pay for the jacket, including tax?

Answers

Answer:

42.93

Step-by-step explanation:

54 x 0.25 = 13.50

54 - 13.5 = 40.50

40.5 x 0.06 = 2.43

40.50 + 2.43 = 42.93

Answer:

$42.93 I received 100%

Step-by-step explanation:

The area of the
rhombus is 52 m2
What is the base of
the rhombus?

Answers

i have explained through pictures

If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the middle

Answers

Answer: [tex]9\pi \ in.^2[/tex]

Step-by-step explanation:

Given

The height of the cylinder is [tex]h=7\ in.[/tex]

The volume of the cylinder is [tex]V=63\pi \ in.^3[/tex]

The volume of the cylinder is the product of area and height

[tex]\Rightarrow V=\pi r^2h\\[/tex]

Insert the values

[tex]\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2[/tex]

Thus, the area of the cross-section is [tex]9\pi \ in.^2[/tex]

pls help I'll give 20 points!

Answers

Answer:

3/4 of 5

= 3/4 × 5

= 15/4

= [tex]3\dfrac{3}{4}[/tex]

Help me pls pls pls pls

Answers

The answer is 2 and one sixth. 2 1/6

If f(x) = 2(3^x) + 1, what is the value of f(2)?
(1) 13
(3) 37
(2) 19
(4) 54

Answers

54 that’s the answer

Answer:

Given  

F ( x ) = 3 x 2 + 1 , to find  F ( − 2 ) , we have to just put

x = − 2  in the formula for  F ( x ) .

therefore , F ( − 2 ) = 3 ( − 2 ) 2 + 1 = 3 ( 4 ) + 1 = 13  .

A skateboarder goes off of a ramp at a speed of 52 ft./s. The ramp is 5 ft. above the ground with a 30°

angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due

to gravity is 32 ft/s^2.

Answers

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

We have,

Let's denote the time as t.

Horizontal motion:

The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:

x = vt

where v is the horizontal velocity, which in this case is 52 ft/s.

Vertical motion:

The vertical position (y) can be determined using the equations of motion under constant acceleration.

The skateboarder experiences acceleration due to gravity (g) acting downward.

The initial vertical position is 5 ft, and the initial vertical velocity is

0 ft/s.

Using the equation of motion:

[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]

Substituting the given values:

y = 5 + 0t + 0.5(32)t²

y = 5 + 16t²

Thus,

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

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"The sum of negative two and nine times a number is less than ninety four."​

Answers

Answer:

I believe you would write the answer is 7 * x is less than 94 (use actual less than symbol for answer).

Step-by-step explanation:

"The sum of negative two and nine" is saying -2 + 9.

"times a number" is saying the answer of -2 + 9 is multiplied by a number, or x.

"is less than ninety four."​ is saying that -2 + 9 * x is less than (use symbol) 94.

So the equation looks like this:

-2 + 9 * x is less than 94.

Now you can simplify the equation:

-2 + 9 = 7

7 * x is less than(use actual less than symbol) 94.

Could I get brainliest please?

What is the slope of a line that
crosses through the points (-1,-8)
and (2, 1)?

Answers

Answer:There's the answer

Just open it

Step-by-step explanation:

Which two shapes have perimeters of 18 feet but have different areas?(1 point)
A rectangle with a length of 9 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 5 ft. and a width of 3 ft. and a square with a side length of 4 ft.
A rectangle with a length of 7 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 8 ft. and a width of 2 ft. and a square with a side length of 4 ft.

Answers

Answer:

they have different areas and different perimeters

Step-by-step explanation:

Veronica and Helga both have collections of trading cards.

Veronica has 752 trading cards.
Veronica has 16 times as many trading cards as Helga.
If Veronica and Helga put their cards together, how many cards would there be?

Answers

752 x 16 = 12032
12032 + 752 = (12785)

Mackenzie surveys 80 of her classmates and finds that 85% of them like sports. She also finds that 75% of her 84 relatives like sports. How many
more of her classmates like sports as compared to her relatives?

Answers

Classmates

80 of 85%
80 times 85/100 = 68

Relatives
84 of 75%

84 times 75/100 = 63

68-63 = 5 more of her classmates like sports than her relatives

The function h(t)=-16t^2+75t+80 models the height in feet, h, of a ball as it is thrown into the
air at time, t, in seconds. At which of the following times will the ball be 124 feet above the
ground?

Answers

Answer:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Step-by-step explanation:

[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]

Solving for t using the quadratic formula we get:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.

The function given for the height of the ball thrown is;

h(t) = -16t^2+75t+80

In which, h is the  height in feet,

t, is the time till ball is in air( in seconds. )

When height h = 124 feet.

Time t = ?

Put h = 124 in the given equation.

124 =  -16t^2+75t+80

On solving.

-16t^2+75t-44 = 0.

16t^2 - 75t + 44 = 0.

Solve the quadratic equation by the quadratic formula,

t = 4 and t = 0.68 seconds.

Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

To know more about the function, here

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The formula for the circumference, C, of a circle with given radius, r, is C = 2nr.
What is the circumference of a circle with a radius of 3 1-2 meters?
(Use 21
22
as an estimate for n.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters

Answers

Answer:

C. 22

Step-by-step explanation:

C = circumference

n (pi) = 22/7

r = 3 1 /2

Plug in the numbers for each variable.

C = 2x (22/7) x (3 1/2)

Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator  so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.

C = (2/1) x (22/7) x (7/2)

Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.

Line t is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line t is 3x-y=4. Determine and state an equation for line m.

Answers

9514 1404 393

Answer:

  line m: 3x -y = 8

Step-by-step explanation:

The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.

3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.

Find the length DE. Round your answer to the nearest tenth of a meter

Answers

Answer:

13.8

Step-by-step explanation:

We can use trigonometry to find the length of DE

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )

When working with opposite and adjacent we use the trig ratio tangent

That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )

so [tex]tan(51)=\frac{17}{x}[/tex]

now we solve for x

Step 1 multiply each side by x

tan(51) * x = x tan (51)

[tex]\frac{17}{x} *x=17[/tex]

now we have x tan (51) = 17

step 2 divide each side by tan (51)

[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]

we now have

[tex]x =\frac{17}{tan(51)} \\[/tex]

[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]

we're left with x = 13.76632856

Finally we round to the nearest tenth and get that the answer 13.8

Determine the perimeter of the shape below

Answers

Answer:

43.566 ft

Step-by-step explanation:

Straight sides: 2 long 1 short

2 x 10 + 8 = 28 ft

Curved side: Remember that the circumference of a circle is 2πr or πd.

Since this is a semicircle, divide the circumference you get by 2.

From the diagram: d = 8

total circumference = 8 x π = 8π

semicircle = 8π ÷ 2 = 4π ft

Total perimeter

= (28 + 4π) ft

= (28 + 12.566) ft (5sf)

= 43.566 ft (5sf)

Answer : 40.57 ftStep by step explanation :

The radius of the hemicircle is r = 8/2 cm = 4 cm.

So the perimeter of the hemicircle part is

[tex]\pi \times r \: = (22 \div 7) \times 4 = 12.57 \: cm[/tex]

The perimeter of the rectangular part = 10+10+8 = 28 cm.

So, the final answer is

[tex]28 \: cm + 12.57 \: cm = 40.57 \: cm[/tex]

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