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

ALGEBRA 1
1. Explain what the notation means. Explain what the letters f and x mean in this notation.

2. Provide the inputs and outputs of the function .

3. Explain how the graph of is obtained.

Use the following equation to answer the remaining questions.



4. Naming the function , write the function in function notation. Explain what the notation represents in this equation.

5. Provide the domain and range of the function. Explain how to obtain a graph of .

Answers

It would be helpful if you could post a photo so I can look at the context. Thank you

What is the product of -4 and 8.1?
A. -32.4
B. -12.1
C. 12.1
D. 32.4

Answers

Answer:

-32.4

Step-by-step explanation:

What you do is the -4 x the 8. after that you should get 32. Then you do 4 x the 1. Hence, you should get 4. Because of that you put the 32 and 4 together. your final answer is -32.4

Answer:

The answer is A. -32.4

Step-by-step explanation:

What you do is the -4 x the 8. after that you should get 32. Then you do 4 x the 1. Hence, you should get 4. Because of that you put the 32 and 4 together. your final answer is -32.4

Hope this helps  :)

What is the length of the component in the drawing? HELP

Answers

Answer:

2.55 cm is the answer...,....

As 12.75 ft = 12.75*12 in = 153 in

60in = 1 cm

So 153/6 = 2.55 cm

Rewrite log: 512 = 3 into exponential
form
A. 3° = 512
B. 8 = 512
C.512 = 8
D. 512 = 3
A
B
С
OD

Answers

i think your answer is D) i am not 100% sure tho.

The exponential form of equation log₈512 = 3 is 8³ = 512.

What is inverse form of Exponential Equation?

The inverse of the exponential function y = aˣ is x = [tex]a^{y}[/tex]. The logarithmic function y = logₐx is defined to be equivalent to the exponential equation is x = [tex]a^{y}[/tex].

Here,

log₈512 = 3 compare with  y = logₐx

we get, a = 8, x = 512, and y = 3

Now Exponent equation is x = [tex]a^{y}[/tex]

                                          512 = 8³

Thus, The exponential form of equation log₈512 = 3 is 8³ = 512.

Learn more about Exponential equation from:

https://brainly.com/question/11672641

#SPJ2

2(x+1.25)=3.5
Solve for X

Answers

Answer:

x= 1/2

Step-by-step explanation:

2(x+1.25)=3.5

(2)(x)+(2)(1.25)=3.5(Distribute)

2x+2.5=3.5                 2x+2.5−2.5=3.5−2.5

2x=1          2x /2  =  1 /2

                                                                                                         

na função definida por f(x)= 3x²-5x+6 seu gráfico é uma:

a) curva denominada parábola com vértice voltado pra baixo

b) uma reta crescente

c) curva denominada parábola com vértice voltado pra cima

d) uma reta decrescente

e) uma reta horizontal ​

Answers

Answer:

a) curva denominada parábola com vértice voltado pra baixo

Step-by-step explanation:

espero que esto ayude

No sé si es del todo correcto, ¡pero que tengas un buen día!

What is the proportion of 36 / x equals 8/7

Answers

Answer:

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

36/x=8/7

x times 36/x=x times 8/7

Cancel multiplied terms that are in the denominator

cancel both x’s for you should have 36=x times 8/7

Combine multiplied terms into a single fraction

36=8x/7

Multiply all terms by the same value to eliminate fraction denominators

36=8x/7 so you multiply 7 times 36=7 times 8x/7

so you simplify so you get 252=8x

then you Divide both sides of the equation by the same term

252=8x     252/8=8x/8 so you get 63/2

so your final answer is x=63/2

I hope that I helped you have a nice day or night!

Work out (3.42 x 10^-7) divided by (7.5 x 10^-6)
Give your answer in standard form.

Answers

I g we ox I don’t know if it’s correct

Write the equation in slope intercept form x + 2y = 6

Answers

Answer:

y=-1/2x+3

Step-by-step explanation:

2y=6-x

y=-x/2+3

y=-1/2x+3

Answer:

y=-1/2(x)+3

Step-by-step explanation:

2y=-x+6

y = -1/2(x)+3

una cámara fotográfica tiene un precio 5200 sin iva ¿cuanto se pagará de iva 16%​

Answers

Answer:

el tiempo es de 46% caracteres fotográficos ya que si el precio es de 5200 la mitad es 3890

through (-6,4), slope:2

Answers

Answer:

y - 4 = 2(x + 6)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h):

y - 4 = 2(x + 6)

Adam and Mags win £2400. They split the money in the ratio 1:5. How much does Adam get?

Answers

Answer:

Adam gets £400

Step-by-step explanation:

Adam : Mag

1:5 1+5=6

2400÷6=400

400x1=400

400x5=2000

a fruit stands most popular fruit is strawberries, which account for 35% of their total sales if they usually sell $70 worth of strawberries each day what would their income be

Answers

Answer:

total income is $200

Step-by-step explanation:

70/.35=200

please help
if x = 3 and y=-4 find x2 + y2 and x2 -y2

Answers

1. Plug in the 3 in all the x’s that are in the equation:

(3)2 + y2 = for x2 + y2

(3)2 - y2 = for x2 - y2

This would get you for both equations..

6 + y2 = for x2 + y2

6 - y2 = for x2 - y2

2. Now let’s plug in the value of y which is -4:

6 + (-4)2 = for x2 + y2

6 - (-4)2 = for x2 + y2

This would get you for both equations...

-2 = x2 + y2

14 = x2 - y2


Hope this helped, have an awesome day!





Plz help fast will mark brainliest

Answers

Answer:

The answer is 2.89 in 2dp

3 cube is 27

27 minus 6.8 is 20. 2

20. 2 decide by 7 is 2.89

Answer:

  the answer would be 3

Step-by-step explanation:

Because 3 to the third power is 27 and 6 times 8 is 48 so you subtract 27 and 48 and you get 21 so you divided 21 and 7 and you get 3. sorry if that's confusing but I hope it helped.

What is coordinate L?

Answers

Answer:

(5,2)

Step-by-step explanation:

The x is 5, and y is 2.

Answer:

L: (5,2)

Step-by-step explanation:

help me please this is timed!!

Answers

Answer:

i think a

Step-by-step explanation:

HURRY HELP NEEDED!!!!!!!!

Answers

Answer:

Step-by-step explanation:

number 4

Candice and Samantha

Help show work pls for brisnly

Answers

Answer:

6

Step-by-step explanation:

Ok, so all we have to do is multiply 8 * 3/4, because each child needs 3/4 of the sandwich, and there are 8 of them. The easiest (My opinion) way to do this is by turning 8 into a fraction. Turning whole numbers into fractions is really simple, just slap a /1 under them to make them a fraction. And so, our fraction is 8/1. Now, all we have to do is multiply the top part of the fraction, and then the bottom part of the fraction. So, 8 * 3 = 24, and 1 * 4 = 4. So, just put 24/4 as an answer. But, wait! We have to simplify it! 24 divided by 4 is 6, so 6 is our final answer.

Answer----=X
I dont know the process​

Answers

answer = x

Step-by-step explanation:

x over 2 + x over 2

(x+x)/2 = (2x)/2

0 = (2x)/2

move 2 beside 0

2 = 2x

move 2 to left

when 2 in right side is positive, if it moves to left it will be negative, then it will be,

2-2 = x

= x #

A fence is to be enclosed around a square park of side 15m. Atleast how many metres of fencing are needed?

Answers

Answer: 60 m

Step-by-step explanation:

The park is said to be square which means that all of its sides are equal.

If the fence is supposed to be put around the park, it is an indirect question asking for the perimeter of the square.

Perimeter of a square:

= 4 * length

= 4 * 15

= 60 m

Can someone help
Please

Answers

Answer:

length× breadth = 20× 5 =100

Ok so to find the area you got to multiply 5 x 20 and when u do the answer will be 100 which is your area.

Answer:100

Hope this helps you :)

Divide using long division.
(2x2 + 7x + 6) : (x + 2)

Answers

Answer:

2x+3

Step-by-step explanation:

-2x2 - 7x - 6

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

-x-2

-2x2 - 7x - 6  =   -1 • (2x2 + 7x + 6)

 -x - 2  =   -1 • (x + 2)

 2x2 + 7x + 6

x • (2x+3) and      (x+2)  •  (2x+3)

answer- 2x+3

Answer:★ 19x ★------------------------------------------------------------------------

Multipy first : 2 x 2 = 4

7x + 6, x is the variuable and x + 2

Take x out of both u have = 7 + 6 : 2 (x + x) = x

4 + (7 + 6), 7 + 6 = 13

13 + 4 = 17

17 + 2 = 19x

MARK BRAINLIEST PLZ ;)

(3h + 4) -6(5-1.4h) what is the answer?

Answers

Answer:

11.4h - 26

Step-by-step explanation:

I used MathPapa

Give me a diagram of a human body that you can find on the internet.
Do it quick!!!!

Answers

I hope this helps have a wonderful day

Answer:

I found a picture of a male human body diagram and a woman human body diagram. I attached both of the pictures to this answer because I am not sure which one you wanted.

Step-by-step explanation:

1. I searched up human body diagram

2. I found a male one and a female one

3. I attach them both to this answer

4. Voila here is my answer

Find the perimeter of a square with a side length of 1.25 miles. The perimeter is

Answers

Answer:

Step-by-step explanation:

perimeter of a square + 4 x side

side = 1.25 miles

perimeter = 4 x 1.25

              =5 miles

the ratio of students to laptops in a school is 3:2 if there are 1,200 students, how many laptops are there?

Answers

Answer:

1200:800

Step-by-step explanation:

1200÷3=400

400×2=800

800 laptops

Answer:

800 Laptops

Step-by-step explanation:

3:2 = 1200:x

I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.

C
C.
Look at the structure of equation and find the value of x. Explain your
reasoning. *
5x + 3x = 5x + 18

Answers

Answer: x = 6

Step-by-step-explanation:
5x + 3x = 5x + 18
5x + 3x - 5x = 18
3x = 18
x = 18/3
x = 6
Hope this helps

find what is x + 2½ = 10?

Answers

Answer:

10 its just 10 or smthing

Answer:

71/2

Step-by-step explanation:

7+2=9

1/2+1/2= 1

9+1=10

A golf ball of diameter 1.68 inches rolls a distance of 4m in a straight line. How many times does the ball. completely? (1 inch = 2.54cm)​

Answers

Answer: 29.9

Step-by-step explanation:

We know that

1 m = 100 cm

4 m = 400 cm

Circumference of ball

= 3.14 x

= 13.37 cm

400 / 13.37

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