The diagram shows a 3 cm x 5 cm x 4 cm cuboid

The Diagram Shows A 3 Cm X 5 Cm X 4 Cm Cuboid

Answers

Answer 1

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since [tex]AB \perp BC[/tex], the length of segment [tex]AC[/tex] is determined by Pythagorean Theorem, that is:

[tex]AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}[/tex]

[tex]AC \approx 5.831\,cm[/tex]

The length of segment AC is approximately 5.831 centimeters.

b) Since [tex]AB \perp BC \perp AD[/tex], the length of segment [tex]AD[/tex] is determined by this Pythagorean identity:

[tex]AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}[/tex]

[tex]AD \approx 7.071\,cm[/tex]

The angle ACD is determined by the following trigonometric expression:

[tex]\cos C = \frac{AC}{CD}[/tex]

[tex]\cos C = \frac{5.831\,cm}{7.071\,cm}[/tex]

[tex]\cos C = 0.825[/tex]

[tex]C = \cos^{-1} 0.825[/tex]

[tex]C \approx 34.448^{\circ}[/tex]

The angle ACD is approximately 34.448º.


Related Questions

can u pls help me i need help​

Answers

Answer:

cbbbbb

Step-by-step explanation:

Her equation is wrong. It should be
(20)(0.85)(1.06) = 18.02

20 x 0.85 = 17, the price after the 15% discount. Cat’s equation added 15%.

You could also do 20 x 0.15 = 3, the amount of the discount, and subtract from $20.

17 x 0.06 = 1.02, the amount of tax
Total cost = 17 + 1.02 = 18.02
This tax part is represented by the 1.06 in the equation. The sale price + 0.06 of that price in tax.

Let me know in the comments if you have questions.


What is the total cost of a $12 t-shirt if the sales tax is 6.5%?

Answers

12.78 because if you do ( 12 X .065 you get .78 which you then add to 12$ and get a total of 12.78

ahh can someone help me please

Answers

4 + ( 3 • 65 )
4 + 195
199

Answer: $199

Find the quotient. 42j4k2 ÷ (-3j3k)

Answers

Answer:

(-14) (4/3k) = -56k/3

Step-by-step explanation:

42/-3 = -14

j/j = 1, so j "cancels"

4k²/3k = 4/3k

Answer:

-14jk

Step-by-step explanation:

SOMEONE HELP PLEASE

Answers

Answer:

We cant see what you are talking about we cant see the equation

Step-by-step explanation:

Step-by-step explanation:

106+94+135+5 = 340

540-340=200

200/2= 100

X = 100

please help quick i will give brainlist!!!!!!

Answers

Answer:

a) 75/3=25/1

Step-by-step explanation:

25kg:1kg and b is I need more evidence

anyone tell me the answer

Answers

Answer:

a. Pop

b. 30 CDs

c. 230 CDs

Step-by-step explanation:

Given that "O" represents 20 CDs

a. The CD that was the mode is the CD that has as much "O", which is Pop.

Mode = Pop

b. Number of Rock CDs = 3 × 20 = 60 CDs

Number of Classical CDs = 1½ × 20 = 30 CDs

Therefore, 30 more CDs of Rock were sold than Classical CDs were sold

c. Pop = 5*20 = 100 CDs

Jazz = 2*20 = 40 CDs

Classical = 1½*20 = 30 CDs

Rock = 3*20 = 60 CDs

Total sold altogether = 100 + 40 + 30 + 60

= 230 CDs

what is the coefficient of the c-term algebraic expression 14a-72r-c-34c

Answers

34 is the corfeccient


A pair of Converse Chuck Taylor Sneakers originally cost $50, but they are on sale for 20% off. If the sales tax is 7.5% what is the final cost?

Answers

Answer:

$43.75

Step-by-step explanation:

Complete the function table for y=2.5x−8 .

Answers

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

What is a function?

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

To know more about function follow

https://brainly.com/question/10439235

#SPJ2

-) Ms. Cohen is buying supplies for her kindergarten classroom. She can spend at most $30.
She wants to buy boxes of crayons that cost $2 per box. She also buys a poster for $5.
Ms. Cohen wants to know how many boxes of crayons she can buy.
1) Let b be the number of boxes of crayons Ms. Cohen buys.
Write an inequality that represents the situation.
+
30
5
2
b.

Yes I give brainless!!

Answers

Answer:

Step-by-step explanation:

When Alexis adopted her puppy, the puppy weighted 12 pounds. One year later, the puppy weighted 60 pounds. By what percent did the puppy's weight change in one year?

Answers

Answer:

400%

Step-by-step explanation:

Original wieght = 12

New weight  = 60

Change = 60- 12= 48

Change percent =  change / original x 100 = 48 / 12 x 100 = 400 %

I hope its right!!!! :)

somebody help me ASAP!!! No joking

Answers

Answer:

it is given that. a^2 + b^ 2 = c^2

then we need to find b

then formula will

b= √(c^2 - a^2)

hence 3600 - 1296

=. √{ 1296}

=. 48

6 - 3x = -6 PLEASE ANSWER FAST I NEED HELP!!!

Answers

4 is the answer hehehe

Answer:

4

Step-by-step explanation:

Subtract 6 to both sides so you can get -12. Next divide -3 from x and -12. Finally your answer should be positive 4. Mark me brainily please if it is correct

In a race in which 6 automobiles are entered and there are no​ ties, in how many ways can the first three finishers come​ in?

Answers

Answer:

Step-by-step explanation:

number of ways=6×5×4=120

Find the value of r(q(-5)).

Answers

Answer:

=−5qr

Step-by-step explanation:



Miss Van invested some money by using the app e-trade. She tracks her

gains and losses using the app on her phone. Miss Van receives a daily

notification that updates her on all her transactions from the previous day.

This morning, her notification read as follows: Yesterday's investment

activity included a loss of $500, a gain of $740, and another gain of $120.

Log in now to see your current balance. Write an integer to represent the

highlighted box.

Answers

Answer:

$360

Step-by-step explanation:

Gains represents additions to her account while losses represent substractions

-$500

+740

+120                                                                                                                        ________

$360

can someone answer this one for me?

Answers

Answer:

it would be 540 degrease i just took the qiuz in first pd. an got it right lol

Step-by-step explanation:

Why is it a problem to find the square root of a negative number, for example √-4?

Answers

Answer:

It is not possible because no number times itself can equal a negative number.

Answer:

Taking the square root of a negative number is a problem because this technically does not follow the rules of a square root. A square root is made of a number times itself, and therefore, is impossible to have a negative times a positive to make a negative total (An example would be √4, as the answer can be 2 (because 2 x 2 = 4) or -2 (because -2 x -2 = 4)).

This means that in order to solve √-4, you must use imaginary numbers. This is represented by "i."

For the example of √-4, your answer would be 2i. These imaginary numbers are used whenever you are square rooting a negative number in order to show that it is breaking the real rules of roots.

Which expression is equivalent to -2(x - 5) - 9x?
11x - 5

7x + 10

-11x - 5

-11x + 10

Answers

Answer:

-11x+10

Step-by-step explanation:

-2(x-5)-9x

Distribute:

-2x+10-9x

Combine like terms:

-11x+10

Hope this helps!

-2x + 10 - 9x

-11x + 10 is the answer

daniel has $50 saved and makes $7.50 per hour working how much money would daniel have after working 10 hours

Answers

You would just move the 0 over from 7.5 then add that to 50 so 75+50 so 125
Daniel will make 75 dollars in 10 hours

For the expression 2 x squared + 28 x + 93 Over (x + 6) cubed, which sum represents the correct form of the partial fraction decomposition?

Answers

Answer:

Option-3

Step-by-step explanation:

got-it-lol

also-keyboard-broke:(

Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.

Answers

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.

Answers

Answer:

24

Step-by-step explanation:

RSM

Learning Task 3
Solve the word problems
1. The sides of the quadrilateral are consecutive numbers.
how long is each side?
2. Inzo is 10 years older than Migz. Five years ago Mig
Inzo. What are their present ages?
3. An express train travels 100 kph from station A to
travelling at 45 kph, takes 45 minutes longer for the
is station A from station B.
4. The sum of two consecutive even integers is less tha
Find at least 3 pairs of numbers
5. The perimeter of the square is less than 152 m. Find
sides of the square.​

Answers

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. [tex]Distance = 3682km[/tex]

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. [tex]L < 38m[/tex]

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

[tex]Perimeter = 160[/tex]

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]

This gives:

[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]

Collect Like Terms

[tex]160 -1-2-3= x+x+x+x[/tex]

[tex]154= 4x[/tex]

Divide both sides by 4

[tex]38.5 = x[/tex]

[tex]x =38.5[/tex]

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: [tex]Inzo = 10 + Miz[/tex]

Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)

Required: Determine their present ages

Substitute [tex]10 + Miz[/tex] for Inzo in the second equation

[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]

[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]

Multiply both sides by 3

[tex]3Miz - 15 = Miz + 5[/tex]

Collect Like Terms

[tex]3Miz -Miz = 15 + 5[/tex]

[tex]2Miz= 20[/tex]

Divide both sides by 2

[tex]Miz = 10[/tex]

Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]

[tex]Inzo = 10 + 5[/tex]

[tex]Inzo = 15[/tex]

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

[tex]Speed = 100kph[/tex]

[tex]Time = t[/tex]

Local Train:

[tex]Speed = 45kph[/tex]

[tex]Time = t + 45[/tex]

Required: Determine the distance between A and B

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

For the express train:

[tex]Distance = 100 * t[/tex]

For the local train

[tex]Distance = 45 * (45 + t)[/tex]

Distance between both stations are equal; So,

[tex]100 * t = 45 * (45 + t)[/tex]

[tex]100 t = 2025 + 45t[/tex]

Collect Like Terms

[tex]100 t -45t= 2025[/tex]

[tex]55t= 2025[/tex]

Divide by 55

[tex]t = 36.82[/tex]

Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]

[tex]Distance = 100 * 36.82[/tex]

[tex]Distance = 3682km[/tex]

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: [tex]n + n + 2 > 24[/tex]

Sum less than 60: [tex]n + n + 2 < 60[/tex]

So, we have:

[tex]n + n + 2 > 24[/tex]

[tex]2n + 2 > 24[/tex]

Collect Like Terms

[tex]2n > 24-2[/tex]

[tex]2n > 22[/tex]

[tex]n > 11[/tex]

[tex]n + n + 2 < 60[/tex]

[tex]2n + 2< 60[/tex]

Collect Like Terms

[tex]2n < 60-2[/tex]

[tex]2n < 58[/tex]

Divide by 2

[tex]n<29[/tex]

So, we have:

[tex]n > 11[/tex] and [tex]n < 29[/tex]

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

[tex]Perimeter < 152m[/tex]

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

[tex]Perimeter =4 * L[/tex]

[tex]Perimeter =4 L[/tex]

So, we have:

[tex]4L < 152m[/tex]

Divide through by 4

[tex]L < 38m[/tex]

Hence, length is less than 38m (e.g. 37m)

what is the inequality -24<3(3x-2)<30

Answers

Answer:

− 2  <  x  <  4

Step-by-step explanation:

What do Geometry teachers use to decorate their floors?

Answers

The solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.

What is the area of a figure?

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters, square feet, square inches, and other similar units are used to measure area.

The problem is actually, a riddle(Joke) and the solution to the problem is Area rugs.

Thus, the solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.

Learn more about the Area:

https://brainly.com/question/11952845

2x²-26x+84 (Factor COMPLETELY)

Answers

[tex]\tt{} {2x}^{2} - 26x + 84[/tex]

[tex]\tt{}2 {(x}^{2} - 13x + 42)[/tex]

[tex]\tt{}2 {(x}^{2} - 6x - 7x + 42)[/tex]

[tex]\tt{}2( x \times (x - 6) - 7(x - 6))[/tex]

[tex]\tt{}2(x - 6) \times (x - 7)[/tex]

Find the measure of x in the right triangle.
X
21
2

Answers

Answer:

I'm not sure if this is the right answer b/c ur question is too vague but the answer is x = 67

Step-by-step explanation:

x + 21 + 2 = 90

x + 23 = 90

  - 23   - 23

x = 67

The store Matilda works at bought a pair of leggings for $12. They plan on selling them for $20. What percent are the leggings marked up?

Answers

Answer:

67%

Step-by-step explanation:

difference between the numbers = $8

8 ÷ 12 X 100 = 67%

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