d)
The size is 22.6 degrees, but how did they get it? ​

D) The Size Is 22.6 Degrees, But How Did They Get It?

Answers

Answer 1

Answer:

Step-by-step explanation:

a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°

By applying Pythagoras theorem in ΔBCD,

BD² = BC² + CD²

BD² = (10)² + (24)²

BD = √676

BD = 26 cm

B). Surface area of the wedge = Sum of all the surfaces of the wedge

Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(10)(24)[/tex]

                                             = 120 cm²

Area of CDEF = Length × Width

                       = ED × CD

                       = 26 × 24

                       = 624 cm²

Area of BCFA = 10 × 26 = 260 cm²

Area of ABDE = ED × BD

                       = 26 × 26

                       = 676 cm²

Total surface area of the wedge = 2(120) + 624 + 260 + 676

                                                     = 1800 cm²

C). Volume of the triangular prism = Area of the triangular base × Height

                                                         = (Area of BCD) × DE

                                                         = 120 × 26

                                                         = 3120 cm³

d). By applying sine rule in the right triangle BCD,

sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{BC}{BD}[/tex]

m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]

               = 22.6°


Related Questions

(Geometry): find x.

Answers

20x + 1 = 720

20x = 719

x = 35.95

Your answer: 35.95

Proof:

(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720

What is the circumference of a circle?

Your answer:

The width of a circle


The distance around a circle


The space inside of a circle

Answers

Answer:

2

Step-by-step explanation:

the distance around a circle

given point A (3,-4) and point B (8,6) on directed line segment AB

Answers

Answer:

-1

Step-by-step explanation:

how many hundreds are in 200+10+6

Answers

Answer:

2

Step-by-step explanation:

Answer:

2.16

Step-by-step explanation:


HELPPPP PLSPLSPLSPSLSLLSLSLSLSLLSLSLSLLS

Answers

For the first box, you would multiply.

For the second box, you would multiply both sides by 3/2.

For the third box, the answer is 18.

[tex]\frac{2}{3}x=12[/tex]

[tex](\frac{3}{2} )*\frac{2}{3}x=12*(\frac{3}{2})[/tex]

[tex]x = 18[/tex]

If you have any further questions, please reach out to me :)

Answer:

multiply both sides by 3/2. The correct answer is 18

Step-by-step explanation:

is this a function?

Answers

Answer:

NO

Step-by-step explanation:

No, because it does not pass the vertical line test.

If you were to rotate ABCD 180degrees about the origin, what would the coordinate of A' be?

Answers

Answer:

5,5

Step-by-step explanation:

it would be (-3 ,-5) because the rule for rotating 180 degrees is (x,y)>(-x.-y)

Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?​

Answers

19 minutes
If you divide 45.85 by 20 you will get 3 same for 58.39 and 20

What is the percent of change from 60 to 84?
40% increase

Answers

Answer:

you are correct

Step-by-step explanation:

Find the difference - 3.5 - 1.9

Answers

The answer is -5.4...

Answer:

1.6

Step-by-step explanation:

X=
(-6x+125) (11x + 6)

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so ...

  11x +6 = -6x +125

  17x = 119 . . . . . . . . . add 6x-6 to both sides

  x = 7 . . . . . . . . divide by 17

The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).

Answers

Answer:

You need to show us the options

Step-by-step explanation:

Answer:

what’s the anwser?

Step-by-step explanation:

rite an equation of the line with the given​ slope, m, and​ y-intercept (0,3).
The equation is_______

m=0, b=-5



​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

since y=mx+b i think the equation will be
3=x-5

bfnbhsvkisbvjdkbv jv ksnhvsdf vkdbsnjbv k

Answers

Answer:

41

Step-by-step explanation:

47-6=41

I need help what is 1/4 ^ 4

Answers

It is 1/256 because you distribute the power of 4 to the numerator and denominator

I'm confused for some reason can you help?​

Answers

Answer:

So basically you just count how many squares you see. I see 21 squares so your answer would be 21 cubic units please mark me brainliest and have a wonderful day

Step-by-step explanation:

Answer: 18 cubic units

Step-by-step explanation:

You can count the number of units on each side, one for height, which is 3 units, one for width, also 3, and one for length, 2 units. Volume is height*length*width, so 3*3*2 is 18.

HELP ME WITH THIS PLS!!!!!!

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} x^{2} \sqrt{x} \neq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

A person on a moving sidewalk travels 72 feet in 9 seconds. The moving sidewalk has a length of 240 feet. How long will it take to move from one end to the other?

Answers

Answer:

30 seconds

Step-by-step explanation:

Speed of person :

72 feets in 9 seconds

Distance = 72 feets ; time = 9 seconds

Speed = distance / time

Speed = 72 / 9 = 8 ft/s

Length of sidewalk = 240 feets

Time it takes to move from one end to the other :

Time = distance / speed

Time = 240 feets / 8 feets /sec

Time taken = 30 seconds

SOS PLEASE HELP write the equation for this line​

Answers

Answer:

y = - x + 3

or

x + y = 3

Step-by-step explanation:

Line is passing through the points (3, 0) & (0, 3)

y-intercept (b) = 3

Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1

Now, required equation of line is given as:

y = mx + b

y = - 1*x + 3

y = - x + 3

or

x + y = 3

Microscope slide shows 37 red blood cells out of 60 blood cells how many red blood cells would be expected in a sample of the same blood that has 925 blood cells?

Answers

Answer:

Hope that answers your question

through: (-3,-4) and (0,4)

Answers

Answer:

The slope = 8/3

Step-by-step explanation:

Let's find the slope between your two points.

(−3,−4);(0,4)

(x1,y1) = (−3,−4)

(x2,y2) = (0,4)

Use the slope formula:

m= y2−y1 / x2−x1

= 4 − −4 / 0 − −3

= 8/3

Answer:

m = 8/3

Graph:

hope this helps and is right :)

Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?

10
+
115
p
=
305
10 + 115 p = 305

10
p
+
305
=
115
10 p + 305 = 115

115
+
10
p
=
305
115 + 10 p = 305

115

10
p
=
305
115 · 10 p = 305













Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?

10
+
115
p
=
305
10 + 115 p = 305

10
p
+
305
=
115
10 p + 305 = 115

115
+
10
p
=
305
115 + 10 p = 305

115

10
p
=
305
115 · 10 p = 305











Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?

Answers

Answer: 19 days

Step-by-step explanation:

Answer:

115 + 10x = 305

x = 19

It will take her 19 days to finish.

help pls! ill mark best answer brainliest

Answers

I am working on this subject too. I'm gonna get a calculator and help you. The answer is actually 14

If the Quadratic functions for the equations are graphed, which is the widest?
A. y = x^2
B. y = 2x^2
C. y = 6x^2
D. y = 1/4x^2

Answers

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is  

y = 2x^2

What is the equation in slope-intercept form of the line that passes through the points ( 2, 5) and (6, 8)?

y = 0.75x + 3

y = 0.75x + 3.5

y = 4x + 10

y = 4x - 36

Answers

Answer:

Step-by-step explanation:

Can someone check my answers and if their wrong explain how to get the correct answer

Answers

Answer: 1. Correct, 2. Incorrect 90° angle not 80° angle answer is 50, 3. Is correct, 4. Is correct

Step-by-step explanation:

PLEASE HELP PLEASE PLEASE

Answers

Answer:

Step-by-step explanation:

x > -7

Open circle means the solution does not include -7 and it is more than -7

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft, what is the volume of the tank?

Answers

Answer:

96π cu ft.

Step-by-step explanation:

V = Bh      B = area of the base     h = height

The base is a circle, so [tex]B = \pi r^{2} = \pi 4^{2} = 16\pi[/tex]

V = 16π(6) = 96π cu ft.

The volume of the cylinder is 301. 6 cu. ft.

What is the volume of the cylinder?

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

where r is the radius of the cylinder and h is the height of the cylinder

For given question,

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,

[tex]\Rightarrow r=4~ft,~h=6~ft[/tex]

We need to find the volume of the cylinder.

Using the formula of the volume of the cylinder,

[tex]\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.[/tex]

Therefore, the volume of the cylinder is 301. 6 cu. ft.

Learn more about the volume of the cylinder here:

https://brainly.com/question/16134180

#SPJ2

A line y intercept is 2 and it's slope is 2 what is its equation in slope intercept form

Answers

Answer:

y = 2x+2

Step-by-step explanation:

y = mx+b

    m = slope = 2

    b = y-intercept = 2

Select the inequality that match the situation:
A school fundraiser has a minimum target of $500. Faculty have donated $100 and there
are 12 student clubs that are participating with different activities. How much money
should each club raise to meet the fundraising goal?
12x - 100 > 500
12x +100 > 500
12x- 100 > 500
12x + 100 > 500
12x - 100 < 500
12x + 100 < 500

Answers

Answer:

Each student club must contribute $ 33.33 in order to meet the fundraising goal.

Step-by-step explanation:

Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:

(500 - 100) / 12 = X

400/12 = X

33,333 = X

Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.

Other Questions
You pay 3.5% annual simple interest for 12 years on a loan, and you pay $1,512 in interest. How much is the principal? Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.3101V9033903120V20800 3y + 7 = x is this a direct proportion Should we ensure that the winner of the popular vote also wins the Electoral College?Please explain in paragraph form, it would be very much appreciated. I need textual evidence and an explanation about how my evidence proves my claim. Thank you 4.5m + 8 - 2.3m - 3.5 thermal enerfy is... napstablook makes some very amazing spooky tunes need help asap 30 points Insert the correct terms below into the following paragraph. Each term will be used. /20 pts sovereignty, republic, state, capitalism, free-market, Democracy, autocracy, command economy, Constitution, communism, Every 1. ( ) has a form of government that has 2. ( ) within its territorial boundaries. A 3. ( ) is a government of and by the people that may have a 4. ( ) that protest the rights of the people, unlike a 5. ( ) that concentrates power in the hands of one person. The United States is a 6. ( ) with elected representation. It has a mixed economy based on 7. ( ). The 8. ( ) allows buyers and sellers to make economy decisions about what to produce , how much to produce, and who gets to goods and services produced. In contrast, under 9. ( ) the Peoples Republic of China and North Korea have operated a 10. ( ). You are studying brain cells and you discover a protein neurotransmitter that youthink might be useful. You know the amino acid sequence of the neurotransmitter. Explain:a) how you would isolate and identify the neurotransmitter geneb) how you would produce multiple copies of the gene for studyc) how you would produce large quantities of the neurotransmitter to see if it could beused as a potential medication.e Which detail from "The Night the Bed Fell" best supports the idea that many of the narrator's relatives have odd personalities?"Always a deep sleeper, slow to arouse (I had lied to Briggs), I was at first unconscious of what had happened when the iron cot rolled me onto the floor and toppled over on me.""Briggs Beall and myself were in a room adjoining this one. My brother Roy was in a room across the hall from ours. Our bull terrier, Rex, slept in the hall.""My mother opposed the notion strongly because, she said, the old wooden bed up there was unsafe: it was wobbly and the heavy headboard would crash down on fathers head in case the bed fell, and kill him.""(On these occasions he was usually gone six or seven days and returned growling and out of temper, with the news that the Federal Union was run by a passel of blockheads and that the Army of the Potomac didnt have a chance.)" Does having not enough space in a playing area effect the performance of the players? PLEASE HELP ME!!! i have no idea how to answer these! the annual rent of the house is 3600$ . Find the rent of 5 months Which of the following statements is true about Indian independence?A) Violent acts in New Delhi ended the Raj or British rule in India.B) When British rule ended, India was divided into two nations.C) British rule ended in India in 1930.D)Lord Louis Mountbatten advised the Indian people to disregard the orders from Britain. Hei! hvordan har du det? hvilket sprk snakker jeg p? What is the value of x? Bentley had 17 pencils. Kerryhad 32 pencils. How manymore pencils does Kerry havethan Bentley? PLEASE HELP!!!a person measures the mass of a 10cm3 rock to be 15g. what is the density of the rock Explain how the willingness of factory owners to hire women and children changed family life? Please help i will give points and brainWhich figure has no line of symmetry? A. Figure A B. Figure B C. Figure C D. Figure D