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

George practises his guitar for 1 1/5 hours per day on school days. On Saturday he increases to 2 1/2 times his normal time. How many hours does he practice on Saturdays.

Answers

Answer: 231/10

Step-by-step explanation: 11/5 x 21/2

= (11 x 21) = 231  

= 231/5 x 2

=  231/10

Answer:

3 hours

Step-by-step explanation

It would be easier to convert your fractions into decimals.

1/5 is the same as 2/10.  Since the denominator was multiplied by 2 then the numerator must be multiplied by 2 also.

2/10 in decimal form is 0.2

He would practice 1.2 hours per day on school days

On Saturday his practice is 2 1/2 times longer than 1.2 hours.

Convert 1/2 into decimal form. 1/2 is the same as 0.5.

So 2 1/2 is the same as 2.5

If you multiply the original time (1.2 hours) by 2.5, you'll know how long he practices on Saturday.

1.2 x 2.5  = 3 hours.

    1.2

 x 2.5

  -------

     60

   24  

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

   300          

since you have 1 decimal place in the top number and 1 decimal in the bottom number, you must move your decimal 2 places to the left on your answer.  Instead of 300, your answer becomes 3.00

Simplify each expression using the properties of powers. Express your answers using only positive exponents.

Answers

Answer:

[tex] \frac{ {( - 3)}^{7} {(11)}^{9} {(13)}^{ - 3} }{ {( - 3)}^{5}(11) {(13)}^{ - 3} } \\ \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} {(13)}^{ - 3} }{ {(13)}^{ - 3} } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{ {(13)}^{3}( \frac{1}{ {(13)}^{3} }) } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{1} \\ \\ \\ = {( - 3)}^{2} {(11)}^{8} [/tex]

I hope I helped you^_^

Which of the following is the correct graph of the solution to the inequality -82 -5x + 2 > -38?

Answers

Answer:

8.4

Step-by-step explanation:

+82

-5x+2>44

-2

-5x>42

divde by +5

x=8.4

denzel has $13.50 and saves an additional $7.50 each week

Answers

Answer:

y = $7.50x + $13.50

Step-by-step explanation:

I need the whole question, but I am guessing you need the equation above

Have a nice day! :-)

Answer:

$21.00

Step-by-step explanation:

$13.50+$7.50=$21.00

what is (-1/8c+16)-(3/8+3c) simplified

Answers

Answer:

Step-by-step explanation:

you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).

check the things in brackets that how the site its called.

help pls i don’t know it!!!!

Answers

Hello!

Answer:

The answer is C

Step-by-step explanation:

I wrote it in to my graphing calculator

Hope this helps!

what is the remainder of this polynomial function?

Answers

Answer: C

Step-by-step explanation:

Graph the line that represents the equation
y+2=1/2 (x+2)

Answers

Answer: your answer is correct because if you put that equation into y=mx+b form you get y=1/2x-1

so you start at -1 and go over 2 and up 1 and you woulld land on 2

so you would graph at (2,-1) i think

which table represents a function​

Answers

Answer:

The first one.

Step-by-step explanation:

Functions do not have repeating x values.

Q3). 0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.​

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The values of :

[tex]x = 2[/tex]

[tex]y = 3[/tex]

The given equations are :

[tex]0.4x + 0.3y = 1.7[/tex]

[tex]0.7x - 0.2y = 0.8[/tex]

now, let's multiply both the equations with 10 on both sides.

so, now our equations will be :

[tex]4x + 3y = 17[/tex]

[tex]7x - 2y = 8[/tex]

from Equation second :

[tex]7x - 2y = 8[/tex]

[tex]2y = 7x - 8[/tex]

[tex]y = \dfrac{7x - 8}{2} [/tex]

now, let's substitute the value of y from here into Equation first.

[tex]4x + 3y = 17[/tex]

[tex]4x +3 \bigg ( \dfrac{7x - 8}{2} \bigg) = 17[/tex]

[tex]4x + \dfrac{21x - 24}{2} = 17[/tex]

[tex] \dfrac{8x + 21x - 24}{2} = 17[/tex]

[tex] \dfrac{ 29x - 24 }{2} = 17[/tex]

[tex]29x - 24 = 34[/tex]

[tex]29x = 34 + 24[/tex]

[tex]29x = 58[/tex]

[tex]x = \dfrac{58}{29} [/tex]

[tex]x = 2[/tex]

here, we got the value of x = 2, let's plug it in equation second to find value of y :

[tex]7x - 2y = 8[/tex]

[tex]7(2) - 2y = 8[/tex]

[tex]14 - 2y = 8[/tex]

[tex]2y = 14 - 8[/tex]

[tex]2y = 6[/tex]

[tex]y = \dfrac{6}{2} [/tex]

[tex]y = 3[/tex]

And value of y = 3

your video game scores are 64, -13, 73, -5, and 36. what were your lowest and highest scores

Answers

Answer: -13 and 64

ghjfgkhkf

Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

Tupac bought a new video game. While he learned how to play, he played 5 games and had a
combined score of -325 points. Write and find the value of an expression for the average number
of points he lost in the first 5 games.

Answers

On average, he lost 65 points per game. My explanation is that if you divide -325 by 5, it is -65.

addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum distance between the runners at any given time

Answers

The maximum distance between them is the diameter of the circle, which is of 44 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The diameter is twice the radius, and is the maximum distance between two points on the same circle.

They are running on a circular path, modeled by:

[tex]x^2 + y^2 - 10x - 18y = 378[/tex]

Completing the squares, the equation is:

[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]

[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]

Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.

A similar problem is given at https://brainly.com/question/25008198

Set up a proportion round to the nearest tenths. 26 is 380% of Wat number?

Answers

Answer:

10 percent is the answer

subtract the value of 3 from the value of the 1 in the number 2103​

Answers

Answer:

97

Step-by-step explanation:

100 - 3 = 97

PLEASE, MARK ME BRAINLIEST

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. What is the maximum number of pizza slices Wes can buy?

Answers

The maximum number of slices of pizzas he can buy is 12

A=D+qm, solve for q.........

Answers

Step-by-step explanation:

A=D+qm

qm = A - D

q =(A-D) /m

Answer:

q = (A - D)/m

Step-by-step explanation:

A = D + qm

A - D = qm

(A - D)/m = q

So, the solve for q is q = (A - D)/m


please screenshot and graph for me this makes no sense

Answers

Answer:

The x-axis

Step-by-step explanation:

This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.

So, the line is [tex]y=0[/tex], i.e. the x-axis.

So, graph the x-axis and we're done!

Find the domain and range!! ​

Answers

Answer:

Domain: [-2, ∞)

Range: [-4, ∞)

General Formulas and Concepts:

Algebra II

Coordinate Planes

Properties of coordinate planesDomain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation/Inequality Notation

Step-by-step explanation:

According to the graph, we see that our x-value stretches from x = -2 to infinity. Since x = -2 is a closed dot, it is included in the domain:

[-2, ∞) or -2 ≤ x < ∞

According to the graph, we see that our y-value stretches from y = -4 to infinity. Since y = -4 is a closed dot, it is included in the range:

[-4, ∞) or -4 ≤ y < ∞

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.

2x+65=4x−3

Answers

Answer:

Step-by-step explanation:

Show that if 3x – 7 = 5, then x = 4.

Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.

x=4

Statements Reasons

1. 3x – 7 = 5 Given

2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)

3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)

4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)

5. 3x = 12 Substitution of 5 + 7 = 12 into (4)

6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3

7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)

8. x = 4 Substitution of 12⁄3 = 4 into (7)

Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:

Trey rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 96 cents for each mile driven. Trey had to pay $246.43
when he returned the truck. For how many miles did he drive the truck?
miles

Answers

Answer:

238 miles

Step-by-step explanation:

Subtract total cost with truck fee cost which makes it 228.48 then divide by the cost of each mile driven which is 96 cents, so it would be 238 miles

Hope this helps :)

what is the answer for this 30≤x≤60.

Answers

Step-by-step explanation:

if you want it on a number line put a closed circle around the 30 and draw the line till 60 and put a closed circle.

8x2 – 24 = ?
Choose 1 answer:
A 8(22 – 3)
B.
8x (x2 – 3)
8(x – 3)
8x(x – 3)

Answers

Answer: 8 (x² - 3)

Step-by-step explanation:

8x² - 24 = 8 (x² - 3)

Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A​

Answers

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

Please help me solve this ASAP

Answers

The answer is 3 in general
The answer is 3, using order of operations!

Your friend incorrectly factors the expression
15x - 20xy as 5x(3 – 4xy).
-
Factor the expression correctly.

Answers

Answer:

5x(3 - 4y)

Step-by-step explanation:

Answer:

5x(3-4y)

Step-by-step explanation:

simplify -6/3 ÷ 2/-9​

Answers

Answer:

[tex] \frac{ - 6}{3} \times \frac{ - 9}{2} = \frac{6 \times 9}{6} = 9[/tex]

[tex] \frac{ - 6}{3} \div \frac{2}{ - 9} \\ = \frac{6}{3} \div \frac{2}{9} \\ = \frac{6}{3} \times \frac{9}{2} \\ = 2 \times \frac{9}{2} \\ = 9[/tex]

Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?

Question options:

2 units

12 units

4 units

6 units

Answers

The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.

Then the length of line segment DE will be

We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have

BC = 2BE

Then the ratio of their corresponding sides will be

 BE/BC = DE/AC

BE/2BE = DE/24

       DE = 24/2

       DE = 12

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Which graph represents the solution to the inequality? 4v - 2 < 10

Answers

Answer:

Option C.

Step-by-step explanation:

First, simplify the inequality. Add 2 to both sides:

4v - 2 < 10

4v - 2 + 2 < 10 + 2

4x < 12

Divide both sides by 4:

4x ÷ 4 < 12 ÷ 4

x < 3

As 3 will not satisfy the inequality, it is not a solution. The option that shows x being less than 3 but not including is option C.

Hope this helps!

(2a-1)(2a-1)-(2a+3)(2a+3)

Answers

Answer:

-16a-8

Step-by-step explanation:

(

2

1

)

(

2

1

)

(

2

+

3

)

(

2

+

3

)

{\color{#c92786}{(2a-1)(2a-1)}}-(2a+3)(2a+3)

(2a−1)(2a−1)−(2a+3)(2a+3)

2

(

2

1

)

1

(

2

1

)

(

2

+

3

)

(

2

+

3

)

Answer:

− 1 6 − 8

Step-by-step explanation:

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