Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?[plz help mee!!]​

Answers

Answer 1

Answer:

a = 137.6

Step-by-step explanation:

The building and the street make a 90 degree angle. You have the length b, which is the height 1,484ft. The angle B 84.7 is created where he stands and looks up.

First, find the missing  hypotenuse, c. Your angel A is 180 - 90 -84.7 = 5.3

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin( B)=opp/hyp

sin(84.7) = 1484 / c

c = 1484/sin(84.7)

c=1490.37

Find the last side of the triangle, in this case the distant from Leo to the building, using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} = c^{2} -b^{2} \\a^{2} =1490.37^{2} -1484^{2} \\a=137.6[/tex]


Related Questions

look at pic 10 pts will mark brainilest AND WILL HELP OUT W A QUESTION shsu

Answers

Answer:

B

Step-by-step explanation:

A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.

This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.

What is ???

Answers

Answer:

37.71 hours

Step-by-step explanation:

Saphire

1garden/88hours

Varsha

1garden/ 66 hours

Together

1/88 + 1/66 = x

use 264 as common denominator

3/264 + 4/264 = 7/264

Together they can do 7 gardens in 264 hours

264/7 = 37.71 hours for 1 garden

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

Sometimes Brainly double types numbers

If you meant 6 hours and 8 hours

1/6 + 1/8 = x

4/24 + 3/24 = 7/24

24/7 = 3.43 hours

The box plots below show the math scores of students of two different classes, which statement is correct

Answers

Answer:

B

Step-by-step explanation:

Given the data:

Class A 55 72 75 89 95

Class B 55 70 75 94 100

CLASS A :

Minimum - 55

Lower quartile - 72

Median - 75

Upper quartile - 89

Maximum - 95

CLASS B :

Minimum - 55

Lower quartile - 70

Median - 75

Upper quartile - 94

Maximum - 100

Evaluating the statements given :

The median score of Class A is greater than the median score of Class B.

Median A = 75 ; Median B = 75 (median are equal), hence, A is not true

The lower quartile of Class A is greater than the lower quartile of Class B.

Lower quartile A = 72 ; Lower quartile B = 70 (A is greater than B) , hence, B is true

The upper quartile of Class A is greater than the upper quartile of Class B.

Upper quartile A = 89 ; Upper quartile B = 94 (A is less than B) , hence, statement is not true

The maximum score of Class A is greater than the maximum score of Class B.

Maximum A = 94 ; maximum B = 100 ; A < B ; Hence, statement is not true

4. What is the product of (3x - 1)(x + 4)?
HELP PLEASE RIGHT NOT SHOW YOURE WORK!!!!!

Answers

[tex]3 {x}^{2} + 11x - 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

37% of what number is 72?

Answers

The answer is 194.59

(72 x 100) / 37 = 194.59

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

i need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

4

Step-by-step explanation:

these are two similar triangles, so to solve for x, we create two similar ratios!

x/2 = 7/3.5

cross multiply.

14=3.5x

divide 14 by 3.5

x=4

What is the surface area of the solid that this net can form?
8 mm
25 mm
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
O 875 square millimeters
O 1,000 square millimeters
O 1,444 square millimeters

Answers

Answer:

730

Step-by-step explanation:

separate each rectangle

use the formula to calculate the area of each rectangle.

1st rectangle

area = length ×breadth

length =5, breadth =8+25+8=41

A1=5×41=205

2nd rectangle

A2=8×25=200

....

A3=5×25=125

A4=8×25=200

Add all As and you have your ans 730

What is the greatest common
factor of the expression?
2x^2y^3+4x^2y^5

Answers

Answer:

[tex]2x^2y^3[/tex]

Step-by-step explanation:

The given expression is :

[tex]2x^2y^3+4x^2y^5[/tex]

We need to find the greatest common  factor of the expression.

The first term is [tex]2x^2y^3[/tex]

The other term is [tex]4x^2y^5[/tex]

[tex]2x^2y^3[/tex] is common in both terms. So,

[tex]2x^2y^3(1+2y^2)[/tex]

Hence, the greatest common factor of the expression is equal to [tex]2x^2y^3[/tex].

PLEASE ANSWER!! Find EF using Pythagorean theorem. Express answer to one decimal place.

Answers

Answer:

115.5 cm

Step-by-step explanation:

A^2 + B^2 = C^2

41^2 + 108^2 = C^2

C^2 = 13345

C = 115.5 cm

Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?​

Answers

Answer:

[tex]Union = 15[/tex]

Step-by-step explanation:

Given

[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

[tex]Union = 15[/tex]

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

[tex]Intersection = 5[/tex]

Solve for x in the equation x squared + 14 x + 17 = negative 96.

Answers

this is the best i can come up with! i believe the answer is “no real solutions” but it could possibly be the answer on the paper!

y=10x/3+19 find the y-intercept

Answers

Answer:

(0, 19)

Step-by-step explanation:

In slope-intercept form, the constant at the end of the equation is the value of the y-intercept.

You can also solve for the y-intercept by letting x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

The y-intercept is (0, 19).

What is the y-intercept?

The y-intercept is the point where the graph intersects the y-axis.

Given is an equation of a line, y = 10x/3+19

To solve for the y-intercept,

Put x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.

y = 10(0)/3 + 19

y = 0 + 19

y = 19

Therefore, the y-intercept is (0, 19).

For more references on y-intercept, click;

https://brainly.com/question/14180189

#SPJ2

Please help asap!!! Will give brainleist for the right answer

Answers

Answer:

I think the answer is 1,032 pounds

Step-by-step explanation:

You would have to multiply the dimensions of the table first:

8*3*1=24.

Then you would multiply that by 43.

24*43=1,032.

I THINK this is the answer.

Can y’all help me?! :)

Answers

Option C.88ft².

Answer:

Solution given:

side 1=19ft

side 2=25ft

height=4ft

now

area =½height (side 1+side 2)

=½*4*(19+25)=88ft²

Answer:

The area of trapezoid is 88 ft ² .

Step-by-step explanation:

The, area of trapezoid is given by

= 1 / 2 ( Base ¹ + Base ² ) × Height

Where,

Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.

1 / 2 ( Base ¹ + Base ² ) × Height

Where, given that

Base ¹ = 19 ftBase ² = 25 ft Height = 4 ft

Substitute the values

Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft

add the both parallel sides of trapezoid

Area = 1 / 2 × 44 ft × 4 ft

multiply the values , we get

Area = 176 ft ²/ 2

Divide and we get

Area of trapezoid = 88 ft ²

Therefore, the area of trapezoid is 88 ft ².

How does a pedometer help people reach their fitness goals?
A.
It measures calories burned throughout the day
B.
It usually doubles as an MP3 player and keeps people motivated.
C.
They help people reach their goals by counting the number of steps taken.
D.
They measure the number of lifts done during each exercise performed.

Answers

Answer:

C

Step-by-step explanation:  

 pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.

Answer:c i just took the test

Step-by-step explanation:

Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.

Answers

Answer:

area of polygon : 120in²

The area of the polygon is 120in^2

solve 3x²-2x-5=0 by factorization method​

Answers

Answer:

Step-by-step explanation:

3x^2 -2x -5=0

3x^2 -(5-3)x -5=0

3x^2 -5x +3x -5=0

x(3x -5)+1(3x -5)=0

(x+1)(3x-5)=0

either (x+1)=0           OR, (3x-5)=0

x+1=0

x=0-1

x=-1

3x-5=0

3x=0+5

x=5/3

x=-1, 5/3

The perimeter of triangle ABC is 56 cmThe length of AB is С 4x - 4 degrees; 2x + 6 degrees; 70 degrees B A A 16 B of these 18 cm D 5 E 20 cm

Answers

Answer:

Step-by-step explanation:

The hypotenuse of a right triangle is 13 ft long. The longer leg is 7 ft longer than the shorter leg. Find the side lengths of the triangle.

Answers

Answer:

The shorter leg is five feet, the longer leg is 12 feet, and the hypotenuse is 13 feet.

Step-by-step explanation:

Let the shorter leg be x.

Since the longer leg is seven feet longer than the shorter leg, the length of the longer leg can be modeled by (x + 7).

Since the triangle is a right triangle, we can use the Pythagorean Theorem, given by:

[tex]a^2+b^2=c^2[/tex]

Where a and b are the side lengths and c is the hypotenuse.

The hypotenuse is 13 and the legs are x and (x + 7). Substitute:

[tex](x)^2+(x+7)^2=(13)^2[/tex]

Square:

[tex]x^2+x^2+14x+49=169[/tex]

Simplify:

[tex]2x^2+14x-120=0[/tex]

We can divide both sides by two:

[tex]x^2+7x-60=0[/tex]

Factor:

[tex](x-5)(x+12)=0[/tex]

Zero Product Property:

[tex]x-5=0\text{ or }x+12=0[/tex]

Solve for each case:

[tex]x=5\text{ or } x=-12[/tex]

Since lengths cannot be negative, we can ignore the negative answer. So, our only solution is:

[tex]x=5[/tex]

The shorter leg is five feet, the longer leg will be (5 + 7) or 12 feet. And the hypotenuse is 13 feet as given.

school uniform cost $25 plus a one time $5 fee if you get your initials embroidered on the collar . how much did bryce pay if he ordered 4 embroidered uniforms?

Answers

4 embroidered uniforms= $5 fee for each 4 embroidered uniform and $25 for each uniform. 5 x 4 = 20. 25 x 4 = 100. 100 + 20= 125. He paid $120 for the embroidered uniform.

6x+2y=
6x+2y=
\,\,16
16
2x-2y=
2x−2y=
\,\,32
32

Answers

Answer:

x = 6, y = -8

Step-by-step explanation:

First we take the equations side by side and put them like this:

 6x + 2y = 16

+ 2x - 2y = 32

8x = 48

Then solve for x.

x = 6

Then insert x back into either equation

2(5) - 2y = 32

10 - 2y = 32

solve for y,

y = -10

Which explicit formula is equivalent to a1 = 1, an=
4an-1?
A. an = 1(4)^n-1
B. an = 4(4)^n-1
C. an = 4(1)^n–1
D. an = 1 + (n - 1)4

Answers

Answer:

A. an = 1(4)^n-1

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:

[tex]a_n = a_1(q)^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term and q is the common ratio.

We are given the following sequence:

[tex]a_1 = 1[/tex]

[tex]a_n = 4a_{n-1}[/tex]

So

[tex]a_2 = 4a_1 = 4[/tex]

[tex]a_3 = 4a_2 = 16[/tex]

[tex]a_4 = 4a_3 = 64[/tex]

That is, the quotient between consecutive terms is 4, so [tex]q = 4[/tex].

The first term is already given, [tex]a_1 = 1[/tex]. So

[tex]a_n = a_1(q)^{n-1}[/tex]

[tex]a_n = 1(4)^{n-1}[/tex]

And thus, the correct answer is given by option A.

Becoming a member at fitness club costs ​$50 plus a monthly fee of ​$25. Using the​ graph, estimate how many months a person has been a member if he has paid a total of ​$250.

Answers

Answer:

0.3

Step-by-step explanation:

6h+​(−8.1d​)−14+5d−2.5h

Answers

Answer:

3.5h-3.1d-14

Step-by-step explanation:

6h+​(−8.1d​)−14+5d−2.5h

Combine like terms

6h -2.5h  -8.1d +5d  -14

3.5h-3.1d-14

Why is this graph proportional?

Answers

Answer:

The graph represents a linear function that passes through the origin.

Step-by-step explanation:

Proportional functions can be represented by [tex]y=kx[/tex], where [tex]k[/tex] is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.

Which function has a greater Y intercept

Answers

Hey I dunno but I really need a ANSER for one of my things so sorry TrueType

Suppose that it is reported in the news that 12% of the people living and working in Kokomo feel that their commute is too long. What is the travel time to work that separates the top 12% of people with the longest travel times and the lower 88%

Answers

Answer:

22.3 minutes

Step-by-step explanation:

The computation of the travel time is as follows:

Given that

[tex]\mu[/tex] = 17

And, the standard deviation is 4.5

P(X≤C) = 0.88

P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤  (C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 0.88

(C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 1.175

c = [tex]\mu[/tex] +  1.175 × [tex]\sigma[/tex]

= 17 + 1.175 × 4.5

= 22.3 minutes

Hence, the travel time is 22.3 minutes

Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS

Answers

114,688
the sequence was multiplying by 4 each time so all u needed to do was multiply each answer by four starting from 7x4
7×4 = 28
28×4 = 112
112×4 = 448
448×4 = 1 792
1792×4 = 7168
7168×4 = 28,672
28,672×4 =114,688

which of the following is equivalent to 2 stretching below? (14-9i)+(2+3i)..​

Answers

Answer:

(14-9i)+(2+3i) = 16-6i

Step-by-step explanation:

We need to find the equivalent of (14-9i)+(2+3i).

We need to add the two expressions.

(14-9i)+(2+3i) = 14+2 -9i+3i

= 16-6i

Here, the real part is 16

The imaginary part is -6

Hence, the required answer is equal to 16-6i.

What is the solution of the system of equations graphed below?

Answers

Answer: B

Step-by-step explanation: Look at where the lines intersect

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