please help me to find this out i really really need help.

The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.

Give your answer correct to 3 significant figures. ​

 Please Help Me To Find This Out I Really Really Need Help. The Diagram Shows A Triangular Prism ABCDEF

Answers

Answer 1

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Answer 2

Therefore, the length of the angle be [tex]x=38.65[/tex] degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be [tex]x[/tex].

Consider Δ[tex]ADF[/tex]

which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].

So,

tan(x)=Perpendicular / Base

i.e.,

[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]

Hence, the length of the angle be [tex]x=38.65[/tex] degree.

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Related Questions

The expression 3(x - 9) is equivalent to....

A. 3(x)+9

B. 3(x)+3(9)

C. 3(x) – 9

D. 3(x) – 3(9)

Answers

Answer:

d

Step-by-step explanation:

3(x - 9)

3×x - 3×9

3(x) - 3(9)

Find the difference or type
"impossible"
[3 –8] - [4 -5 -6]

Answers

Answer:

2

Step-by-step explanation:

(3-8)-(4-5-6)

(-5)-(-7)

-5+7

2

Using subtraction, the solution of the given equation is 2.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

= [3 - 8] - [4 - 5 - 6]

= [-5] - [4 - 11]

= -5 - [-7]

= -5 + 7

= 2

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name three of the main powers of the executive branch

Answers

The executive branch is headed by the president, whose constitutional responsibilities include serving as commander in chief of the armed forces; negotiating treaties; appointing federal judges (including the members of the Supreme Court), ambassadors, and cabinet officials; and acting as head of state.

This will help you.

They:

-Take care that the laws be faithfully executed

-Serve as commander in chief of the armed forces

-Carries out and enforces laws

The President of the United States is the head of the executive branch. It includes the president, vice president, the Cabinet, executive departments, independent agencies, and other boards, commissions, and committees.

Hope I was able to help. :DDD

The surface area of a cylinder is 602.88. If the dimensions of the cylinder are
halved, what is the surface area of the new cylinder?
O A. 301.44
O B. 4823.04
O C. 2411.52
O D. 150.72

Answers

Answer:

you all have to divide by 2

Step-by-step explanation:

602.88÷2= 301.44

A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. Find the probability that a randomly selected audient attended all the concerts

Answers

Answer:

[tex]P(X\cap Y\cap Z)=0.05[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert [tex]P(X)=0.28[/tex]

Percentage of audience in second concert [tex]P(Y)=0.42[/tex]

Percentage of audience in third concert [tex]P(Z)=0.30[/tex]

Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]

Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]

Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]

Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]

 

Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by

[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]

[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]

[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]

[tex]P(X\cap Y\cap Z)=0.05[/tex]

Therefore the probability that a randomly selected audient attended all the concerts

[tex]P(X\cap Y\cap Z)=0.05[/tex]

What is the place value of the 3 in 4.737?

Answers

It's the hundredths place (not hundreds).

Answer:

The place value of the 3 would be " Hundredths "

Step-by-step explanation:

The 4 would be 1's the 7 by the decimal would be tenths. The 3 would be hundredths, followed by the last 7 being thousandths

Find the area of this trapezoid:

Answers

Answer:

Pls add the image

Step-by-step explanation:

What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8

Answers

Answer:

4/1/7 ( 4 and 1 over 7)

Step-by-step explanation:

First add all the numbers

1+2+3+4+5+6+8= 29

Finally you divide the total by counting the numbers which you have add up

29÷7

= 4/1/7 ( 4 and 1 over 7)

Mark me as the brainiest answer

Answer:

Step-by-step explanation:

1. Mean

1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32

32/ how many numbers there are

32/ 8 . = 4

Mean = 4

1 2 3 3 4 5 6 8

3 2 1 1  0 1 2 4

3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14

14/how many numbers there are

14/8 = 7/4 or in mixed form 1 3/4

During the lunar cycle, the Moon always appears: A. to wax, but not wane. B. to wane, but not wax. C. to wax, then wane. D. to wane while waxing. Please help!

Answers

Answer:

C.to wax then wane

Step-by-step explanation:

Waxing is "Maxing," or growing with light until a full moon is reached. Waning is the opposite, or decreasing after a full moon, and is always illuminated on the left. Then, there is a waxing or waning Gibbous moon, which means more than half of the moon is illuminated.

find the area of this trapezoid. Include the correct unit in your answer.
I need help understanding this and how to do it :)​

Answers

Answer:

[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]

simplify addition:

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]

simplify division:

[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]

since we multiply two same units we of course have to use square unit

hence,

[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]

4321 divided by 24 ?

Answers

180.0416667
But it can be rounded to 180

three consecutive integers have a sum of 255 find the integers

Answers

Answer:

Step-by-step explanation:

Givens

Let the smallest integer = x - 1    (You'll see why in a moment).

Let the middle integer = x

Let the largest ingeger = x + 1

Equation

x - 1 + x + x + 1 = 255

Solution

Combine like terms on the left.

3x - 1 + 1 = 255

3x = 255                      Divide by 3

3x/3 = 255/3

x = 85

So the smallest number is  84

The middle number is        85

The largest number is        86

Total                                  255

Do you see why I made the smallest number x - 1?

It is because the -1 and the plus 1 cancel out.

Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.

what is the absolute value of 10?​

Answers

Answer:

10

Step-by-step explanation:

abolute value= distance from zero 10 is 10 away from 0

Answer:

the answer is |10|

Step-by-step explanation:

absolute value is always positive

Find Slope and Y Intercept
5y = 2x + 1

Answers

Answer:

[tex] slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]

Step-by-step explanation:

[tex]5y = 2x + 1 \\ \\ \therefore y = \frac{2x + 1}{5} \\ \\\therefore y = \frac{2}{5} x + \frac{1}{5} \\ \\ equating \: it \: with \\ \\ y = mx + b \: we \: find : \\ \\ slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]

the slope is 2/5 and the y intercept is (0, 1/5)

Determine If AB is tangent to the circle.

Answers

Answer:

no its not

Step-by-step explanation:

radius doesn't make 90 degree with AB. use Pythagoras theorem

How old is a tree with circumference of 62.83 cm?

Answers

Step-by-step explanation:

19.9 is the age of the tree.

divide the circumference with 3.142 .

hope this helps you☺️☺️

If x and y vary inversely and x = 8 when y = 23, what is y when x = 4?​

Answers

11.5 because all you do is divide the numbers by 2

Answer:

11.5

Step-by-step explanation:

x=8 & y=23

then

x=4 is half so you divide by 2

so half of 23 would be 11.5. If you are rounding then it would be 12

How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1

Answers

Step-by-step explanation: Explanation:

y

2

=

3

(

x

1

)

3

x

y

=

3

2

=

1

x

1

3

+

y

1

=

1

is the intercept form of the equation.

Now we know the two points on the line as

(

1

3

,

0

)

,

(

0

,

1

)

By plotting the two points on a graph sheet and joining them gives the line required.

graph{3x - 1 [-10, 10, -5, 5]}

Hope this helps!!!

Please help me out with this!

Answers

Answer:

X=9.8

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin33=x/18

X=18sin33=9.8

I ASK SO MUCH OF YOUR HELP, PLEASE. Let x + y = 11 and x^2 + y^2 = 325. What is the value of x^3 + y^3? PLEASE EXPLAIN, TOO .

Answers

Answer: 4697

Step-by-step explanation:

x + y = 11 ......... i

x² + y² = 325 ........ ii

From equation i

x + y = 11

Therefore, x = 11 - y....... iii

Put equation iii into equation ii

x² + y² = 325

(11 - y)² + y² = 325

(11 - y)(11 - y) + y² = 325

121 - 11y - 11y + y² + y² = 325

121 - 22y + 2y² = 325

121 - 325 - 22y + 2y² = 0

2y² - 22y -204 = 0

2y² - 34y + 12y - 204 = 0

2y(y - 17) + 12(y - 17) = 0

(y - 17) = 0

y = 0 + 17

y = 17

Since x + y = 11

x + 17 = 11

x = 11 - 17

x = -6

Therefore, x³ + y³

= (-6)³ + (17)³

= -216 + 4913

= 4697

What expression is equal to 7x(2+3)

Answers

Answer:

14x+21x if thats an option

Step-by-step explanation:

where are the answer choices?

Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links

Answers

Answer:

-9

Step-by-step explanation:

This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).

f(x)=-9x+2

f’(x)=-9

Need help ASAP!!!
Solve for the missing angle.

Answers

Answer:

D 56

Step-by-step explanation:

cos x = 5/9

x = 56°

have a great day

YOU GO TO THE STORE WITH $100.  YOU HAVE A LIST OF THINGS TO BUY THAT WILL COST $70 IN TOTAL.  YOU WANT TO BUY OREOS.  OREOS COST $3 A PACK.  HOW MANY PACKS OF OREO COOKIES CAN YOU BUY?
Write an equation and solve this

Answers

Answer:

10

Step-by-step explanation:

First, you would subtract 100-70 to get 30

Then, you would do 30/3 to learn that you could still buy 10 packs of Oreos with the remaining money.

A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladder from the same angle with the ground

Answers

Answer:

Similar triangles

H/7 = 15/9

H = 11.7 feet.

Is this set of ordered pairs a function or not a function?
{(3, 2) (3,5) (4, 6) (7, 8)}

Answers

Answer:

Not a function

Step-by-step explanation:

The reason the ordered pairs are not a function is because there is no real equation that can get the correct x and y for each. Along with 3 being a x-value twice, which is also a key sign that it's not a function.

Review the table of values for function g(x).

x

g(x)

28.9

–3.751

28.99

–3.76

28.999

–3.9

29

undefined

29.001

–4.1

29.01

–4.24

29.1

–4.249

What is Limit of g (x) as x approaches 29g(x), if it exists?

–4.25
–4
–3.75
DNE

Answers

Answer:

the answer is b

Step-by-step explanation:

The Limit of g(x) as x approaches 29 is DNE.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have a function g(x).

In the given table we have different values of x corresponds to g(x).

Now, the value for x= 29 is not given in the table which is not defined.

and, if the value is not defined then it is also infinity.

So, the limit of g(x) tends to 29 is DNE.

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a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio. ​

Answers

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

Consider the system of linear equations and the matrix equations below.
- X+ 3y = 2
4x - 2y = 22
-1
3
Х
2
4
-2
22
What is the value of x in the equation?
-36
3
7
64

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  [tex]x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}[/tex]

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +1?

Answers

4x^2-6x^4+2x^5-x+1 is the correct order
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Im very confused and need help Read the excerpt from The Mother of America:George Washington is frequently considered the "Father of America." Likewise, his wife, Martha Washington, could also be considered the "Mother of America," as demonstrated by her roles as the general's wife and the first lady.During the American Revolution, Martha Washington earned the title of "Mother of America" for her caring nature as the general's wife. She was also very brave. Despite the danger of kidnapping, Martha refused to abandon her home, Mount Vernon, in Virginia. When Martha did leave the plantation for periods of time, she traveled to the military camps where Washington was staying. First, Martha had to be vaccinated so that she would not suffer from smallpox. Once she was inoculated, Martha made the risky trip to camp. British and American soldiers roamed the countryside, and capture was a real possibility. Nevertheless, Martha arrived at each winter camp. 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