Find the length of the line segment inside the rectangular prism.

Find The Length Of The Line Segment Inside The Rectangular Prism.

Answers

Answer 1

To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.

\(c^2=a^2+b^2\)

Where a = 4ft and b = 9ft.

\(\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}\)

So, the length of the black segment is 9.8 feet.

Now, we find the yellow line length

\(c^2=a^2+b^2\)

Where a = 4 and b = 6.

\(\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}\)Therefore, the length of the yellow line is 7.2 feet.

Related Questions

i need help pls like now if you can pls help me!​

i need help pls like now if you can pls help me!

Answers

Answer:

With what there is nothing there

Step-by-step explanation:

Given a standard deck of cards, what is the probability that you choose a red card and then choose a heart, assuming you replaced the first card?
A. 3/26
B 7/26
C 1/4
D 1/8

Answers

The probability that you draw a red card is 26/52 or 1/2, since half the cards in the deck are red. Since you replace the card, the probabiity that you draw a heart is 13/52 or 1/4, since a quarter of the cards are hearts.

7. A man travelled 50 km to east of Meerut and
then 90 km to west of it. How far from
Meerut was he finally ?

Answers

He was 40km west from Meerut

Simplify the expression.
-6(-4d - 8.3 + 3d)
Please just write the answer don’t have much time

Answers

Answer:

6d + 49.8

Step-by-step explanation:

Step 1: Write out expression

-6(-4d - 8.3 + 3d)

Step 2: Parenthesis

-6(-d - 8.3)

Step 3: Distribute

6d + 49.8

please help. Will mark brainliest if correct. ( links will be banned)

please help. Will mark brainliest if correct. ( links will be banned)
please help. Will mark brainliest if correct. ( links will be banned)

Answers

Answer:

how many tries do you have?

I think its d because the proportion 6/4 and LM/6 cuz the smaller number is on the bottom? I dont know try it. how many tried do you have?

Its either d or b

How many significant figures are represented in 0.00509?

Answers

Answer:

there are three significant numbers

Answer:

three

Step-by-step explanation: 0.00509; the first three zeros are not significant since they come before a non-zero number, the final three digits are significant

i dont know how to do this, help

i dont know how to do this, help

Answers

Answer:

Gerald should expect the spinner to land on 3, 126 times.

Step-by-step explanation:

Because we don't know what's actually going to happen, we can determine the theoretical probability by multiplying 1/5 by 630 to get 126.

Answer:

126

Step-by-step explanation:

Given that all of the spaces are equally sized, each space has an equal chance of being landed on by the spinner. As there are 5 spaces, the probability of landing on any one space is 1/5. This means that one fifth of the number of spins are expected to land on 3.

630 × 1/5 = 126

O
Tom wants to pour 84.99 grams of salt into a container. So far, he has poured. 17.4 grams. How much more salt should Tom pour?
grams
Explanation
Check
X
G
Eple Charter

Answers

The remaining amount of salt that Tom needed to pour was 67.59 grams.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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Crew owes his mom $23 and James owes his mom $8. Which amount has the greatest magnitude?

Answers

Crew because 23>8 23 is larger than 8

Magnitude=A great size, or extent of something

HELP PLEASE! Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.

HELP PLEASE! Which reason is the justification for the statement that angle A angle B?A) Vertical angles

Answers

A) Vertical angles are congruent

3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

Answers

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

Can someone check if it’s correct also help me with the last one
Thanks

Can someone check if its correct also help me with the last one Thanks

Answers

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

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Last week Scott ran 43 miles less than James. Scott ran 5 miles. How many miles did James run?
A. 35
B. 44
C. 38
D. 48

Answers

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

What is the rate of change on [-1,4]​

What is the rate of change on [-1,4]

Answers

Answer:

The rate of change no [-1,4] is x

round 1 km to the nearest tenth

Answers

We are required to find the area of a circle to the nearest tenth

\(\text{Area of a circle = }\pi\times r^2\)\(\begin{gathered} \pi=3.14 \\ r=\text{ }\frac{diameter}{2} \\ \text{diameter = 1km} \\ r=\frac{1}{2}=\text{ 0.5km} \end{gathered}\)\(\begin{gathered} \text{Area of given circle via substitution hence =} \\ 3.14\times0.5^2=0.785km^2 \\ \text{Area of the circle hence}\approx0.8\operatorname{km}\text{ to the nearest tenth} \end{gathered}\)

Answer is option D

A
is a number formed by multiplying ten by a number.

Answers

I'm not really sure what the question is here, because you just gave a statement... but if you are trying to get an expression from words, here is what it would be:

A = 10N

I'm also not sure if "a number" is equal to the same as "a number" at the end, but I'm guessing not. If it is though, and you're trying to find the value of A, the answer would be:

A = 10

*Please provide the question you are asking here, not just statements, next time, so that people can help you.

I hope this helped :)

Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more silver cars would need to be added so the ratio of green cars to silver cars is 1 to 3?

Answers

Answer:

100 more  silver.

Step-by-step explanation:

The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?

Answers

Answer:

slope = 1

y-intercept  - 1

slope intercept form: y =  x - 1

Step-by-step explanation:

Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37



Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal

Answers

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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I am lost on this question i found both but it keeps on telling me i am incorrect

I am lost on this question i found both but it keeps on telling me i am incorrect

Answers

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

I am lost on this question i found both but it keeps on telling me i am incorrect

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30

find the volume​

How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30 find

Answers

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

What is the unit rate of the ratio 5 : 1/7?

Answers

Answer:

\(Ratio = 35 : 1\)

Step-by-step explanation:

Given

\(Ratio = 5 : 1/7\)

Required

Determine the unit ratio

A unit ratio is represented as:

\(Ratio = a : 1\)

Where

\(a \ne 1\)

So, we have

\(Ratio = 5 : 1/7\)

Divide ratio by 1/7

\(Ratio = 5/(1/7) : (1/7)/(1/7)\)

Using a calculator, we have:

\(Ratio = 35 : 1\)

Hence, the unit ratio is:

\(Ratio = 35 : 1\)

The sum of two number is -1/3, if one of the number is -12/3 ,find the other number? please help​

Answers

Answer: 11/3

Step-by-step explanation:

-12/3 + n = - 1/3

n = -1/3 + 12/3

n = 11/3

cube m holds a maximum of 64 unit cubes. each unit cube has an edge length of 1/2 centimeter. what is the length of cube m?

Answers

Answer:

136 or 34

Step-by-step explanation:

not sure if its right because my math is bad

can i have ten dollahairs

Answers

maybe if you ask politely

write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4

Answers

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Would You Rather...
Two 12 inch Medium Pizzas
12 inches
12 inches
OR
One 18 inch Large Pizza
If you want the most pizza, which should you
order? Justify your answer.
Tony's Pizza sells 2 medium pizzas
for the same price as one large
pizza.
What if you want the most crust, which should
you order? Justify your answer.

Answers

Answer:It sounds counterintuitive, but Fermat's Library did the math: An 18-inch pizza has 254 square inches of "pizza," while two 12-inch pizzas only have about 226 square inches

Step-by-step explanation:

Can someone please give me the answer! Thanks!

Can someone please give me the answer! Thanks!

Answers

Segment EH is perpendicular to segment JG and segment KF is parallel to segment JG. The answer is the second choice.

On the number line below, lengthAB = [?]AB1645

Answers

We are to find the length of AB on the number line;

The point A is on position 16 and point B is on position 45.

Therefore, the length of segment AB is therefore;

45-16 = 29.

Therefore, AB length is 29

On the number line below, lengthAB = [?]AB1645

Solve the system of equations.
5x - 4y = -10
y=2x-5
x=
y=

Answers

Answer:

x = 10

y = 15

Step-by-step explanation:

5x - 4y = -10

y = 2x - 5

5x - 4(2x - 5) = -10

5x - 8x + 20 = -10

-3x = -30

x = 10

y = 2x - 5

y = 2(10) - 5

y = 15

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