The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, end text deep. The vertical height is 7\,\text{cm}7cm7, start text, c, m, end text. What is the length of the side edge, sss, of the triangular prism?

Answers

Answer 1

Answer:

The answer is "7.62 cm ".

Step-by-step explanation:

Given:

[tex]Width = 6\ cm \\\\Depth = 4 \ cm\\\\Vertical \ height = 7 \ cm\\\\[/tex]

Dividing the prism's face into two halves:

As just a result, the vertical height becomes 7cm, as well as the width, becomes [tex]\frac{6\ cm}{2} = 3 \ cm[/tex]. If the 's' on both sides of the edge is equal:

[tex]s^2 = width^2 + height^2\\\\[/tex]

   [tex]= \sqrt{(width^2 + height^2)}\\\\[/tex]  

   [tex]= \sqrt{(3^2 + 7^2)}\\\\= \sqrt{9 + 49}\\\\= \sqrt{58}\\\\= 7.62 \ cm[/tex]


Related Questions

Why is homework inportant?

Answers

Step-by-step explanation:

homework is like extra practice about what u had previously learned about that day

31. What is the surface area of the pyramid to the nearest whole number?

A 25 cm
B 60 cm
C 30 cm2
D 85 cm2

Answers

Answer:

D. 85 cm2

Step-by-step explanation:

Please answer fast, it’s due in a hour.

Answers

Answer:

100.48 units³

Step-by-step explanation:

Volume of Cylinder: V = πr²h

volume = pi × radius² × height

V = 3.14 × 2² × 8

V = 100.48 units³

Answer:

100.84^units

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

Answers

Answer:

86.33 square micrometers

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

The formula for the Surface Ares mma is given as :

A=a² + 2a √a²/4+ h²

a = base edge = 5 micro meters

h = height = 5.6 micro meters

=5²+2× 5 × √5²/4+ 5.6²

= 86.32699 square micrometers

≈ 86.33 square micrometers

Which of the following measurements could be the side lengths of a right triangle?
Pythagorean theorem
A.
98in, 42in, 49in
B.
77in, 14in, 70in
C.
63in, 42in, 112in
D.
56in, 14in, 70in


square root

Answers

Answer:

none

Step-by-step explanation:

they don't add up to a right triangle.

A bag contains to White blocks and one red block and 3 purple blocks what is the sample space of picking a block from the bag

Answers

Answer:

1/36

Step-by-step explanation:

Probability is the likelihood of chance that an event will occur. Mathematically,

Probability = expected outcome/total outcome

If a bag contains two white blocks, one red block and 3 purple block

Total outcome = 2+1+3= 6

Probability that white ball is selected = 2/6

Probability that red ball is selected = 1/6

Probability that white ball is selected = 3/6

Probability of picking a ball is 2/6 × 1/6 × 3/6

Probability of picking a ball = 6/216

Probability of picking a ball = 1/36

Find the value of x. Round your answer to the nearest tenth.



x≈

Answers

Answer:

You did not give us an equation :\

You didn’t give us the equation

PLEASE HELP!!!!! Thank you!! Will mark brainliest!!!
| x+14 | = 14
| x-14 | = 14
| x+8| = x+8

Answers

Answer:

if youre just looking for x, it would be x=0.

Step-by-step explanation:

the absolute value of any number is just the positive version of that number. So, |0+14|=14 and the same for the rest of them.

In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax for 5% and would want to leave a 20% tip on the original $40. including tax and tip, How much did Chloe meal cost?

Answers

Answer:

$50

Step-by-step explanation:

Given data

Cost of sushi= $40

Tax= 5%

Tip= 20%

Let us find the amount of the tax and the tip

Tax

=5/100*40

=0.05*40

=$2

Tip

=20/100*40

=0.2*40

=$8

Hence the total amount paid is

=40+2+8

=$50

Answer:

$50

Step-by-step explanation:

To avoid confusion, we can solve for the sales tax and the tip separately.

Tip

Original Bill x 20%Original Bill x 1/5$40 x 1/5$8

Tax

Original Bill x 5%Original Bill x 1/20$40 x 1/20$2

Total

Original Bill + Tip + Tax$40 + $8 + $2$50

Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.

Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5

Answers

Answer: B. One fourth times the product of 8 and 3, then divide by 5.

You have $210 and save $5 a week. Your friend has $265, saves nothing, and spends $10 a week. Determine how many weeks it will take before you have more money than your friend.

a. 4 weeks

b. 3 weeks

c. 2 weeks

d. 6 weeks

Answers

Answer:

This answer is A

Step-by-step explanation:

Im fast to answer :)

I NEED HELP PLEASE !

Answers

Answer:

x = 4, -2 1/2

Step-by-step explanation:

factors:

(2x + 5) (x - 4)

set each factor equal to zero:

2x + 5 = 0

2x = -5

x = -5/2

x - 4 = 0

x = 4

The school office bought 25 pounds of paper . One pound of paper contains 800 sheets of paper did the school buy ?

Answers

Answer:

I think 20,000 sheets of paper

Step-by-step explanation:

800 x 25 is 20,000

Answer:

The school has 20,000 sheets of paper.

Step-by-step explanation:

800 sheets in one pound

800X25=20,000

In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 8 m? Enter your answer in the box.

Answers

Answer:

16

Step-by-step explanation:

In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)

The hypotenuse of the 30-60-90 triangle whose shorter leg is 8 m is: 16 m.

What is the 30-60-90 Triangle?

The 30-60-90 triangle is a right triangle whose hypotenuse length is always twice the length of the its shorter leg.

Given a 30-60-90 triangle whose shorter leg is 8 m long, therefore:

Hypotenuse of the 30-60-90 triangle = 2(length of the shorter leg)

Hypotenuse of the 30-60-90 triangle = 2(8)

Hypotenuse of the 30-60-90 triangle = 16 m.

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at a pizza shop you can choose thick or thin crust red or white sauce and toppings a pepperoni and cheese or vegetarian. create a tree diagram to display the same space

Answers

Answer:

Total 2*2*3 = 12 outcomes

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

                                 >  thick, white, pepperoni  

                 White  >  >  thick, white, cheese          

                                 >  thick, white, vegetarian

Thick  > >

                                 > thick, red, pepperoni  

                   Red  >   >  thick, red, cheese

                                 > thick, red, vegetarian

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

                                 > thin, white, pepperoni

                  White  >  > thin, white, cheese

                                  > thin, white, vegetarian

Thin  > >

                                > thin, red, pepperoni

                   Red  >  >  thin, red, cheese

                                >  thin, red, vegetarian

What is the percent of change from 56 t0 22

Answers

idea 34 I did 56-22 0.0

Answer:

I think it is -60.71428571 percent.

hey cutie pls help me thank u !!

f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1

Compute the following:
Find f(3)

Choose the best answer
A)9
B)5
C)10​

Answers

f(3)=5 // f(3)=2(3)-1 = 5

Choose the function whose graph is given by

Answers

Answer:

D

Step-by-step explanation:

I plugged each equation into a graphing calculator and compared them to see which one matched the one in the picture.

The value of the trigonometric equation after transformation is given by the value y = 3 [ sin ( x + 3 ) ] - 2

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of the trigonometric function f ( x ) is

f ( x ) = 3sin ( x )

when the function is translated 3 units to the left and 2 units down , we get

y = 3 [ sin ( x + 3 ) ] - 2

Therefore , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2 and the graph is plotted

Hence , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2

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A board game comes with the set of cards
shown below. Find each ratio in simplest form.

Answers

by row...
5:12
2:1
1:2
3:0

what is the value of x? 26 degrees tangent lines

Answers

Answer:

154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

The value of the x will be 154°.

How to find the interior central angle?

The central angle and the angle between the tangents are supplementary.

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.

So,

x + 26° = 180°

Subtract 26° from both sides;

x + 26 - 26 =  180 - 26

x = 154°

Hence, the value of the x will be 154°.

Learn more about tangents ;

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Michael is measuring fabric for the costumes of a school play he needs 11.5 meters of fabric. He has 280 centimeters of fabric. How many more centimeters does he need ?

Answers

Answer:

8.7

Step-by-step explanation:

The answer is 8.7 because 280 centemiters converted into meters is 2.8 and 11.5-2.8=8.7

Sophie has 7 cookies she wants to share equally with ten friends at her party. Part A If she separates all of the cookies and gives each friend an equal amount, how much cookie will each friend receive? Part B If Sophie wanted to give each friend 1 1/2 cookies, how many more cookies would she need?

Answers

Answer:

Each friend gets 0.7 cookie

8 cookies

Step-by-step explanation:

A.

Number of cookies = 7

Number of friends = 10

how much cookie will each friend receive?

Number of cookie each friend get = number of cookies / number of friends

= 7/10

= 0.7 cookie

Each friend gets 0.7 cookie

B.

If each friend 1 1/2 cookies

how many more cookies would she need?

Total number of cookies needed = 1 1/2 × 10

= 3/2 × 10

= 30/2

= 15 cookies

She already has 7 cookies

Number of cookies needed more = 15 cookies - 7 cookies

= 8 cookies

What is the area of a rectangle that is 1 1 4 1 4 1 ​ 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3 ​ start fraction, 3, divided by, 4, end fraction of a meter wide?

Answers

Answer:

4 11/16 m²

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

From the question:

Length = 1 1/4 m

Width = 3 3/4m

Area of the rectangle =

1 1/4 m × 3 3/4 m

= 5/4 m × 15/4 m

= 75/16 m²

= 4 11/16 m²

Area of the rectangle = 4 11/16 m²

We can rewrite the expression 16+8 as 8 x (2+1). Notice that 8 is the greatest factor of 16 and 8. Use this same method to rewrite the expression 24+36 as the product of the greatest common factor of 24 and 36 and the sum of the remaining numbers. 24 + 36 = ____________

Answers

Answer:

60

Step-by-step explanation:

24+36=60

Answer:

60

Step-by-step explanation:

24+36=60

AHH IM BEGGING OMG YOU DONT KNOW HOW IMPORTANT THIS IS I WILL GIVE BRAINLIEST AND I WILL BE FOREVER GREATEFUL PLSSSSS

Owen can type 30 and 2/3 words in 2/35 of a minute. What is his rate in words per minute?

Answers

Answer:

Owen can type 536 2/3 per minute

Step-by-step explanation:

let me know if this is wrong

A rectangle has a perimeter of 30 yards. If one side is 5 yards long, how long is the other side?
A. 15 yards
B. 25 yards
C. 10 yards
D. 30 yards

Answers

Answer:

C. 10

Step-by-step explanation:

5+5=10

10+10=20

10+20=30

Answer:

The other is 10 yards long

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 30 yards

and one of rectangle is 5 yards

Now,

Perimeter of rectangle

P = 2l + 2b

30 = 2(5) + 2b

30 = 10 + 2b

30 - 10 = 2b

20 = 2b

b = 20 ÷ 2

b = 10 yards

Thus, The other is 10 yards long

-TheUnknownScientist

Find the 75th term: 88, 81, 74, 67, 60

Answers

Answer:

a₇₅ = - 430

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = 81 - 88 = 74 - 81 = 67 - 74 = 60 - 67 = - 7

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 88 and d = - 7 , then

a₇₅ = 88 + ( 74 × - 7) = 88 - 518 = - 430

The 75th term of the arithmetic progression is -430

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is

Tn = a + (n - 1) d, where Tₙ = nth term and a = first term.

Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP : Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the Arithmetic progression be = 88 , 81 , 74 , 67 , 60 ...

The first term of the AP is a ₁= 88

Now , the common difference of the AP d = second term - first term

                                                                      = 81 - 88

                                                                      = -7

Now , the nth term of the arithmetic progression is given by ,

Tn = a + (n - 1) d

Substituting the values in the equation , we get

T₇₅ = 88 + ( 75 - 1 ) ( -7 )

     = 88 + 74 ( -7 )

     = 88 - 518

     = -430

Therefore , the value of T₇₅  is  -430

Hence , The 75th term of the arithmetic progression is -430

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Find the value of f(7)

Answers

Answer:

f(7) = - 5

Step-by-step explanation:

Locate x = 7 on the x- axis, go vertically down to meet the graph at (7, - 5 )

Then the value of f(7) = - 5

in a 5 day work week, matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the amount of time. how many total miles will they put on there cars in 28 work days?

Answers

Answer: the is  1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

Move the center of the circle to a different location, and record the required values in the table. Check the boxes for the area of the circle and the area of the sector after you move the center. Round the values to two decimal places.

Answers

Answer: answer in the image

Step-by-step explanation:

Answer:

Step-by-step explanation:

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