Hello, Please answer this question for 35 points and a Brainliest for the correct answer!

The figure shows a carpeted room. How many square feet of the room are carpeted?
a
30 square feet

b
44 square feet

c
56 square feet

d
76 square feet

Answer:

Step-by-step explanation:

Answer: 59.04

Step-by-step explanation:

tan 16= x/200

tan16/1=x/200  

200 tan 16=x  

x=57.349077...

x=57.349077...

Add 1.69, the distance from the ground to her eye:

57.349077...+1.69= 59.039077...

≈   The skyscraper is 59.04 meters tall.

You can use right triangles to get the height of the skyscraper.

The height of the skyscraper is 59.04 meters approximately.

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It  is measured from the horizontal line DC.

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

Since the distance from the base of the building is given and the angle of elevation is given, we have enough data to construct a specific right triangle where the vertical line opposite to the angle of elevation is of the measure of the height of the building.

And then we can use tangent ratio which relates perpendicular and base to the considered angle.

Remember that trigonometric ratios are defined for right triangles only(those triangles who have one of the angle as of 90 degrees).

See the diagram attached below, where the length AE is the building's height. AD is same as CB which is height of Penelope(a person who is watching the top of that given skyscraper).

For the right angle triangle EDC, and for the angle considered ∠ECD, we have the perpendicular as side opposite to the angle ∠ECD which is ED and the base is DC. Thus, the tangent ratio of ∠ECD is given by

[tex]tan(\angle ECD) = \dfrac{Perpendicular \: to \: \angle ECD}{Base \: to \: \angle ECD } = \dfrac{ED}{DC} = \dfrac{h - 1.69}{200}\\tan(16^\circ) = \dfrac{h - 1.69}{200}\\[/tex]

DC = AB and DA = CB because of ABCD being a rectangle because of building and person both standing vertical to the ground and the line DC being parallel to the ground, thus all angles being right angle(of 90 degrees).

From the calculator, the value of tan(16°) is approx 0.2867

Thus, putting this value in the obtained equation, we get:

[tex]tan(16^\circ) = \dfrac{h - 1.69}{200}\\0.2867 = \dfrac{h-1.69}{200}\\\\0.2867 \times 200 = h - 1.69 \\57.35 + 1.69 = h\\h = 59.04 \: \rm meters[/tex]

Thus, the height of the specified skyscraper is  approx 59.04 meters.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

Answer:

Step-by-step explanation:

a) We have 15! as the product of 1 to 15 natural numbers.  Since 17 is prime there will be no factor common to these

By actual division we find

15! (mod 17) =16

From this we deduce

even 16! mod 17 = 16 = -1

According to Wilson theorem

(17-1)! = -1 mod 17

Thus verified 17 is prime

Hence 15! (mod 17) =-1=16

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

b) 2(26!) is divided by 29

Since 29 is prime

(29-1)! = -1 mod 29

28! = -1 mod 29 = 28

When divided this gives 25 as remainder

THANKS  

0

Answer:

Yes.  A propotion is to check if two things are equivelent.  The ratios 4:18 and 2:9 are equivelent.

Answer:

[tex]\frac{8}{4}[/tex] = 2

Step-by-step explanation:

Divide numerator by denominator

[tex]\frac{10}{4}[/tex] = 2.5 ← not a whole number

[tex]\frac{8}{4}[/tex] = 2 ← a whole number

[tex]\frac{3}{6}[/tex] = 0.5 ← not a whole number

[tex]\frac{7}{8}[/tex] = 0.875 ← not a whole number

Answer:

a = 21.5 in²

Step-by-step explanation:

Area of square

a = s²

a = 10²

a = 100

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

Area of circle

a = πr²

a = π5²

a =π*25

a = 78.5398163397

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

Area shaded

a = square - circle

a = 100 - 78.5398163397

a = 21.4601836603

Rounded

a = 21.5 in²

Answer:

36cm^2

Step-by-step explanation:

the answer is

area of rectangle =l×b

=9×4.

=32

Answer:

A. 2x

Step-by-step explanation:

First let's correct the problem.

Question:

[tex]14x^2-12x[/tex] is the binomial we are solving

Now, let's solve this.

We see that we have one term to the 2nd degree (shown by the exponent) and one to base degree. Therefore, the answer cannot be B or C since you cannot factor into a negative exponent.

So we now have either A. 2x or D. 4x

Let's try both of these.

Factoring out with 2x we get:

[tex]2x(7x-6)[/tex], which is perfectly fine!

Factoring out with 4x we get:

[tex]4x(3.5x-3)[/tex]

Therefore, it must be A. 2x

Alternatively, we know the factors of 14 are 1,2,7, and 14. The factors of 12 are 1,2,3,4,6, and 12. The only factor shared here is A. 2

Answer:

7 is the correct answer

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

take 69 degree as reference angle

using sin rule

sin 69=opposite/hypotenuse

0.93=7.2/x

x=7.2/0.93

x=7.74

x=7.7

Answer:

Step-by-step explanation:

2.16=216/100=54/25

check your statement.

[tex]\frac{54}{25 }[/tex] is the rational number for the decimal 2.16

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

According to the given question.

We have a number 2.16

To convert the above in rational number, we convert the given number  in [tex]\frac{x}{y}[/tex] form, where x and y are positive integers.

We read 2.16 as " 2 and sixteen hundredths".

Therefore, 2.16 can be written as [tex]2\frac{16}{100}[/tex].

Now we will simplify [tex]2\frac{16}{100}[/tex].

⇒ [tex]2\frac{16}{100} =2\frac{4}{25}[/tex]

⇒ [tex]2\frac{16}{100} =\frac{54}{25}[/tex]

Hence,  [tex]\frac{54}{25 }[/tex] is the rational number for the decimal 2.16

Find out more information about rational number here:

https://brainly.com/question/17450097

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Answer:

189.6m

Step-by-step explanation:

Area of reactangle= side₁ ×side₂

Let the other side of the rectangle be x meters.

Area of rectangle= 75.2m²

0.8x= 75.2

x= 75.2 ÷0.8

x= 94

Perimeter of rectangle

= 2(side₁ +side₂)

= 2(0.8 +94)

= 189.6 m

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

-5i is the imaginary portion

Step-by-step explanation:

a+bi

a is the real part  bi is the imaginary part

-5i is the imaginary portion

Answer:

A

Step-by-step explanation:

F(x) = 4x^2 + 1

G(x) = x^2 - 5

(F-G)(x) = (4x^2+1 - x^2-5)

collect like terms

(F-G)(x) = (4x^2-x^2 + 1-5)

= (3x^2 - 4)

Answer:

well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66

Answer:

11. = D) x is greater than or equal to -1

12. = A) x is less than -2

Step-by-step explanation:

Answer:

11. -1 ≤ x

or

x ≥ -1, D

Because it is starting at -1, and the arrow is pointing up showing that x is greater than. BUT the circle is not hallow and is filled meaning that is is greater than, OR EQUAL TOO.

12. X < -2, A

Because it is starting at -2 and is going down showing that -2 is greater, and since the circle is hallow it just means X is less than NOT OR EQUAL TOO.

Answer:

it is 6 yards

Step-by-step explanation:

since 1 yard is equal to 3 feet, 18 feet divided by 3 is 6

hope this helped :D

Answer:

The slope of a launch ramp cannot be too high or too low.

The length of a landing ramp must be long enough for riders to recover from the jump, but short enough so they do not lose speed for the next jump.

The slope of a ramp is found by dividing the height of the ramp by the length of the ramp.

Step-by-step explanation:

Edg2021

Answer:

The slope of a launch ramp cannot be too high or too low.

The length of a landing ramp must be long enough for riders to recover from the jump, but short enough so they do not lose speed for the next jump.

The slope of a ramp is found by dividing the height of the ramp by the length of the ramp.

Step-by-step explanation: Just did this earlier

Answer:

option 2, because g-h and j -k is congruent

Answer:

This is too long to explain I am just gonna write the correct answers

18.=c

19.=d

20.?

21.=a

22.=a

23.=b

24.=a

25.=a

26.=c

27.=c

28.=c

29.=a

30.=d

31.=maybe a

32.=c

33.=a

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

Answer:

25 percent

Step-by-step explanation:

Answer:

By trigonometric ratio;

XZ/sin(b) = XY/sin(c) = YZ/sin(a)

MN/sin(c) = NZ/sin(f) = MZ/sin(d)

∴ XZ/MZ = XY/MN × (sin(b)/(sin(d))

XY/MN  = XZ/MZ × (sin(b)/sin(d))

Where (sin(b)/(sin(d)) = V;

(XZ/MZ)/(XY/MN) = (XY/MN × V)/(XZ/MZ × V)

(XZ/MZ)/(XY/MN) = (XY/MN)/(XZ/MZ)

∴ (XZ/MZ)² = (XY/MN)²

∴ XZ/MZ = XY/MN QED

Step-by-step explanation:

Whereby the shapes in the question are triangles ΔXYZ and ΔMNZ, and given that we have;

XZ/MZ = YZ/NZ, and from the attached drawing, we have;

∠XZY = ∠NZM

By trigonometric ratio, we have;

XZ/sin(b) = XY/sin(c) = YZ/sin(a)

∴ XZ = sin(b)×XY/sin(c)

MN/sin(c) = NZ/sin(f) = MZ/sin(d)

MZ = sin(d)×MN/sin(c)

∴ XZ/MZ = sin(b)×XY/sin(c)/(sin(d)×MN/sin(c)) = XY/MN × (sin(b)/(sin(d))

XY = sin(c) × XZ/sin(b), MN = sin(c) × MZ/sin(d)

XY/MN  = sin(c) × XZ/sin(b)/(sin(c) × MZ/sin(d)) = XZ/MZ × (sin(b)/sin(d))

Let 'V' represent (sin(b)/(sin(d)), we have;

XZ/MZ = XY/MN × V...(1)

XY/MN = XZ/MZ × V...(2)

Dividing equation (1) by (2) gives;

(XZ/MZ)/(XY/MN) = (XY/MN × V)/(XZ/MZ × V) = (XY/MN)/(XZ/MZ)

(XZ/MZ)/(XY/MN) = (XY/MN)/(XZ/MZ)

∴ (XZ/MZ)² = (XY/MN)²

∴ XZ/MZ = XY/MN

Answer:

30.

3×4=12

12×5=60

60÷2=30

Answer:

The volume is 942.478

Step-by-step explanation:

Answer:

(x - 5)(x + 2)(x + 5)

Step-by-step explanation:

x³ + 2x² - 25x - 50

x³ + 7x² - 5x² - 35x + 10x - 50

x(x² + 7x + 10) - 5(x² + 7x + 10)

(x - 5)(x² + 7x + 10)

(x - 5)(x² + 2x + 5x + 10)

(x - 5)(x(x + 2) + 5(x + 2))

(x - 5)(x + 2)(x + 5)