In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively, what is the distance travelled by the ray?

Answers

Answer 1

Answer:10

Step-by-step explanation:24-6-8=10

Answer 2

The distance travelled by the ray will be 26 inches. Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.

If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.

Then the distance travelled by the ray will be

We know the formula

D² = L² + W² + H²

We have

L = 24 in

W = 6 in

H = 8 in

Then the distance will be

D² = 24² + 6² + 8²

D² = 576 + 36 + 64

D² = 676

D = 26 in

Thus, the correct option is B.

More about the coordinate geometry link is given below.

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Related Questions

A running track has two semi-circular ends with radius 24m and two straights of length 85.9m as shown.
Calculate the total area of the track rounded to 1 DP.

Answers

Answer: 5931.8m^2

Explanation:

Explanation:

85.9 x 48 + 3.14 x 24^2
= 4123.2 + 1808.64
= 5931.8m^2

Where can I find I ready answers? specifically math.

Answers

Answer: you could problem look in help.k12

Step-by-step explanation:

Answer:

here on brainly it will answer you ask your question and it will answer it

solve for the value of c

Answers

Answer:

C = 11

Step-by-step explanation:

90 - ( 8 + -6 ) = 88

88 / 8 = 11

:)

Yuyyyy and the kids were going out and they are doing well in my life so I’m going out of the house to see the house so we could get together for dinner or dinner and dinner at my moms and I would like to go with dinner with us tonight or we could meet at my place and I could come by the office to get a table for the kids and then I can come in the house for dinner

Write the equation of the line with a slope of -2 that passes through (-5, 6).
a. y = -5x + 6
b. y=-2x – 4
c. y = -2x + 7
d. y = 4x - 2

(all of my points)

Answers

Answer:

B

Step-by-step explanation:

use y=mx+c

follow the flow

Michael is placing cubic blocks into a box that measures 8 inches by 12 inches. each block is 1 cubic inch. he has packed the first layer of the box with 96 blocks. the box is 10 inches high. how many blocks will Michael be able to pack into the box in all?

Answers

Answer:

960

Step-by-step explanation:

First of all we can find the volume of the whole box:

8×12×10=960

then find the area of the blocks:

1×1×1=1

Finally, we divide them to find how many fit in to the box:

960÷1=960

So 960 of the blocks will fit into the box.

The correct answer is 960

Mr. Jensen owed $34.75 on his Internet service. He accidentally paid $37.45. When his next statement came, it showed a balance of –$2.70. Which statement about this bill is true?
Mr. Jensen needs to pay $2.70 more on his next bill
Mr. Jensen needs to pay $2.70 less on his next bill.
Mr. Jensen needs to pay $5.40 more on his next bill.
Mr. Jensen needs to pay $5.40 less on his next bill.

Answers

Answer:

B

Step-by-step explanation:

if he pays 2.70 more than he is supposed to and gets a bill that says -2.70 they took that money off his next bill

Answer:

the answer is b :To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

Step-by-step explanation:

IM SO SORRY IF ITS WRONG

Find the length of side x in simplest radical form with a rational denominator

Answers

Answer: 4√2

Step-by-step explanation:

The triangle is a special right triangle. Using this, you know that the legs of the triangle are 1 and 1 as the 45, 45, 90 triangle has the sides of 1, 1 and √2. That being said,

4 x 1 = 4 - This is one of your sides

4 x 1 = 4 - This is your other side.

4 x √2 = 4√2 = This your your hypotenuse or your x.

My teacher played me this song to help me remember 45, 45, 90 and 30, 60, 90 triangles. Look up "45 45 90 30 60 90 song" and look for the channel, "Scalar Learning"

I hope this answered your problem.

i think 4/2 is the answer

please help me with it and dont just put random letters cause i dont know why u do it its not like u can buy a house with these points lol

Answers

Answer:

v=432cm

sA=144cm

Step-by-step explanation:

1)))

v=w*d*h

v=3*9*16

v=432cm

2)))

sA=h*w

sA=16*9

sA=144cm

Answer:

V = 432 cm^3

SA = 438 cm^2

Step-by-step explanation:

The volume of a rectangular prism is represented by the formula:

V = lwh

Where V is the volume, l is the length, w is the width, and h is the height.

You can substitute the values given:

V = 3 * 9 * 16

V = 432 cm^3

The surface area of a rectangular prism can represented by the formula:

SA = 2(lw + wh + lh)

Where SA is the surface area, l is the length, w is the width, and h is the height. You can substitute the given values:

SA = 2(3 * 9 + 3 * 16 + 9 * 16)

SA = 2(27 + 48 + 144)

SA = 2(219)

SA = 438 cm^2

math math math math math pls help

Answers

Answer:

100-16π ft2

Step-by-step explanation

Answer:

100-16π ft2

Step-by-step explanation:

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

4:7 and 4:49

Step-by-step explanation:

P=s+s+s

A=S×S

Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.

Answers

Answer:

1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]

Step-by-step explanation:

The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:

[tex]a + b = 7[/tex] (1)

[tex]a\cdot b = k[/tex] (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:

1) [tex]a = 1[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 6[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (6)\cdot (1)[/tex]

[tex]k = 6[/tex]

2) [tex]a = 3[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 4[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (3)\cdot (4)[/tex]

[tex]k = 12[/tex]

Find the x and y intercept of 8x+10y=15. NO LINK TO ANSWER PLEASE TYPE

Answers

Answer:

x intercept: 15/8 and yintercerpt is 3/2

Step-by-step explanation:

to find y intercept you have to put equation in standard form.

10y=-8x+15

y=--4/5x+3/2

x intercept is when y=0, so we plug in 0

0=-4/5x+3/2

4/5x=3/2

x=15/8

If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number of years.
a) 5 years b) 10 years c) 15 years

Answers

Answer:

[tex]a) A\simeq17204.28[/tex]

[tex]b) A\simeq29598.74[/tex]

[tex]c)A\simeq50922.51[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $10000

[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]

n = 4 (quarterly in a year)

a ) t = 5 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]

b) t = 10 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]

c) t = 15 years

[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]

Answer:

Solution given;

principal [p]=$10000

rate[r]=11%

time[t]= 5 years

we have

compound amount quarterly =P(1+r/400)^4t

=$10000(1+11/400)^4×5=$17204.28431

What is 4^4 in algerbra mathematics?

Answers

Answer:

256

Step-by-step explanation:

4 to the exponent of 4 = 256

In the number 576,439,260 the 4 is in

A. the millions place.

B. the thousands place.

C. the ten thousands place.

O D. the hundred millions place.

O E. the hundred thousands place,

Answers

E. The hundred thousands place
answer choice E, hundred thousands place because 439,260

Find the area of the figure

Answers

Answer: 1920 i think

Step-by-step explanation:

Erik buys a new combination for his locker at the gym.The lock has 3 dial, each with the number 0 through 9. The probability that he sets the combination as 4-3-9 is

Answers

Answer: 0.001

Step-by-step explanation:

Given

The lock has 3 dials, each with the number 0 through 9.

The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is  [tex]\frac{1}{10}[/tex]

Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]

Therefore the probability of getting a combination of 4-3-9 is

[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]

Which of the following describes independent events A and B?
1) P(A)=0.70 P(B)=0.70 P(A and B)=0.40

2) P(A)=0.40
P(B)=0.70
P(A and B)=0.28

3) P(A)=0.40
P(B)=0.00
P(A and B)=0.40

4) P(A)=0.70 P(B)=0.40
P(A and B)=0.30

Answers

i think it is going to be 3. please let me know if you need more information

Could I get help as soon as possible?

Answers

Answer:

(0, 0)

Step-by-step explanation:

It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.

Salma Serra purchased a truck. last year she drove the truck 12,340 miles. the fixes costs totaled $1,428 , while variable cost totaled $2,998. how much did it cost per mile to operate the truck?

Answers

Answer:

20.61952

Step-by-step explanation:

hope it helps

The solution is : cost of driving per mile is $0.42.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Given:

Luisa Díaz drove her vehicle about 7,200 miles last year.

Total fixed cost = $1,058.40

Total variable cost = $1965.60

Question asked:

How much did it cost per mile ?

Solution:

Total cost of driving 7200 miles = Total fixed cost + Total variable cost

                                                    = $1,058.40 + $1965.60

                                                    = $3024

By unitary method:

Cost of driving 7200 miles = $3024

Cost of driving 1 mile = $3024  7200

                                  = $0.42

Thus, cost of driving per mile is $0.42

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complete question:

Luisa Díaz drove her vehicle about 7,200 miles last year. Her fixed costs totaled $1,058.40 and her variable costs were $1965.60 how much did it cost per mile

Enter the volume in cubic inches of the can round your anwser to the nearest hundredth

Answers

Answer:

87.92in³

Step-by-step explanation:

Volume of cylinder formula:

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

Plug in the values using 3.14 for pi:

V = 3.14(2)^2(7)

V = 87.92in³

1) In a school of 3600 students, number of boys is twice the number of girls. Find the number of girls.

Answers

Answer: 1200

Step-by-step explanation:

x is the number of boy

The number of boys is twice the number of girls: [tex]\frac{1}{2} x[/tex]

Total is 3600 students: x + [tex]\frac{1}{2}x[/tex]= 3600 → x = 2400

Therefore, the number of girls is: 2400/2= 1200

Answer: There are 2400 boys and 1200 girls

Step-by-step explanation:

x represents girls

2x represents boys

________________________

x+2x=3600

3x =3600

x=3600/3

x =1200

Number of girls = 1200

1200 * 2 = 2400

Q7.
There are 15 children at a birthday party.
The mean age of the 15 children is 7 years.
9 of the 15 children are boys.
The mean age of the boys is 5 years.
Work out the mean age of the girls.

Answers

Answer:

10

Step-by-step explanation:

Let c = sum of ages of all children.

mean age of all children = c/15 = 7

c = 15 * 7 = 105

The sum of the ages of all children is 105.

Let b = sum of ages of the 9 boys.

mean age of boys = b/9 = 5

b = 9 * 5 = 45

The sum of the ages of the boys is 45.

The sum of the ages of the girls is c - b.

c - b = 105 - 45 = 60

The number of girls is 15 - 9 = 6

mean age of girls = (sum of ages of the girls)/(number of girls) =

= 60/6 = 10

Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.

How many more 10th graders than 9th graders were interviewed?

A 36
B 80
C 12
D 200

Answers

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

 

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

 

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

 

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

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A collection of 22 dimes and quarters has a total value of $4.00. Write a system of equations that defines this situation and solve using any method.

Answers

Since dimes + quarters = 22
And dimes are 0.10 cents as quarters = 0.25 cents
Let’s make d = dime, q = quarter
d + q = 22
0.10d + 0.25q = 4.00
Let’s use substitution
d + q = 22, get d or q by itself
d = 22 - q (plug into second equation)
0.10(22-q) + 0.25q = 4
2.2 - 0.10q + 0.25q = 4
2.2 + 0.15q = 4
0.15q = 1.8, q = 12
Since there are 12 quarters you know there are 10 dimes (22 in total)

Solution: 10 dimes, 12 quarters

Which is an
equation of the line that has a slope of -2/3
and passes though (-1, 3)?

Answers

Answer:

y = -2/3x + 7/3

Step-by-step explanation:

y = -2/3x + b

3 = -2/3(-1) + b

3 = 2/3 + b

7/3 = b

3x²-7x+4=0
can yall help me​

Answers

Answer:

I think it

[tex]X1 = 1.333\\X2 = 1\\\\[/tex]

I need the answer to the Problem RIGHT NOW

Answers

I believe it’s 48 hope this helps

evelyn packed this box with 1-inch cubes. which expression does NOT show how evelyn can find the volume of the box

Answers

Answer:

[tex]Volume = 2 + 3+6[/tex]

Step-by-step explanation:

Given

[tex]Length = 2[/tex]

[tex]Width = 3[/tex]

[tex]Height = 6[/tex]

See attachment for box

Required

Which does not represent volume?

The volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = 2 * 3 * 6[/tex] ---- (b) represents volume

Multiply 2 and 3

[tex]Volume = 6 * 6[/tex] ---- (d) represents volume

The above product can be converted to addition, as:

[tex]Volume = 6 + 6 + 6 + 6 + 6 + 6[/tex] ---- (a) represents volume

Hence:

[tex]Volume = 2 + 3+6[/tex] --- does npot represent volume

The data set shows the ages of everyone in a dance class.
5, 24, 24, 24, 24, 24, 24, 25, 25
Select the statement that correctly describes the data.

A. The typical value is 5 because it is the minimum.

B. The typical value is 9 because that is the total number of people.

C. The typical value is 24. Most values are close to 24, except 5, which is an extreme value.

D. The typical value is 25 because it is the maximum.

Answers

C because the most shown value is 24

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