An observer at the top of a skyscraper sees a car on the road below. The angle of depression to the car is 29°. If the car is about 62 m from the skyscraper when it is seen, how tall is the skyscraper?




Answers

Answer 1

The height of the skyscraper is 34.4m

Step-by-step explanation:

Let the height of the skyscraper be 'h'

Distance between the skyscraper and the car = 62 m

Angle of depression = 29°

Angle = 61°

tan 61° = 62/h

1.80 = 62/h

h = 62/1.80

h = 34.4m

The height of the skyscraper is 34.4m

An Observer At The Top Of A Skyscraper Sees A Car On The Road Below. The Angle Of Depression To The Car

Related Questions

Marvin used a customary unit of measure to estimate the weight of a watermelon he grew in his backyard what could the estimated weight be

Answers

Answer:

Usually pounds (lb) .About an an average of  20 to 25 pounds (lbs)

Step-by-step explanation:

Since Marvin uses Customary units, and considering the Watermelon.

Pounds,  He could estimate based on average of 20 to 25 pounds.

He could choose another customary units, but it wouldn't be practical and unusual to say a watermelon of 160 quarters, also it would leave all the listeners without parameters.

So, definitely pounds.

help please 6x^2-18

Answers

Answer:

6(x^2-3)

Step-by-step explanation:

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression represents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3

Answers

Answer:volume of the cylinder = 2π[tex]x^{3}[/tex]

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = π[tex]r^{2}[/tex] h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = π[tex]r^{2}[/tex] h =  π [tex]x^{2}[/tex] (2x)

volume of the cylinder = 2π[tex]x^{3}[/tex]

The expression that represents the volume of the cylinder is 2x³π.

What is the volume of the cylinder?

A cylinder is a three-dimensional object that is made up of a two circles that are attached to a rectangle.

Volume of a cylinder = πr²h

2xπx² = 2x³π.

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

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What is the median of this set of data?
1, 2, 5, 6, 9
A. 1
B. 5
C. 8
D. 9

Answers

Answer:

the answer would be B because median is the middle. think of it like the middle of the highway where it has the small trees, thats called the median. therefore 5 is the number in the middle of the number sequence

Answer:

B

Step-by-step explanation:

Cost of a sled: $49.50
Markup: 80%
What’s the selling price

Answers

Answer:

39.6

Step-by-step explanation:

7. Bryan and Daniel ordered a pizza. There were 24 slices. Daniel ate seven times as many slices as Bryan. How many
slices did each one eat?

steps ?

Answers

Answer:

Bryan pizza slices: x

Daniel pizza slices: y

Total slices: 24

[tex]y=7x\\y+x=24\\\\7x+x=24\\8x=24\\x=3[/tex]

Daniel ate 21 slices of pizza.

Bryan ate 3 slices of pizza.

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.
Which expression represents the volume, in cubic units, of the composite figure?

Pi(52)(13) – One-third pi (52)(12)
Pi(52)(13) – One-third pi (52)(25)
Pi(52)(13) + One-third pi (52)(12)
Pi(52)(13) + One-third pi (52)(25)

Answers

Answer:

C

Step-by-step explanation:

[tex]\pi (5^{2})(13)+\frac{1}{3} \pi (5^{2})(12)[/tex]

The expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).

What is the volume of the composite figure?

The volume of the composite figure is the sum of the volume of the cone and the volume of the cylinder.

A cone is stacked on top of a cylinder.

They both share a circular base.

The total height of the composite figure is 25.

The height of the cylinder is 13 and the radius is 5.

The expression represents the volume, in cubic units, of the composite figure;

The volume of a cylinder = πr²h

π = 22/7

r = radius = 5

h = height = 13

The volume of a cylinder = π(5²)(13)

The volume of a cone = 1/3(πr²h)

π = 22/7

r = radius

h = height = 25 - 13 = 12

The volume of a cone = (1/3)(π(5²)(12)

The expression represents the volume, in cubic units, of the composite figure is;

= Pi(5^2)(13) + One-third pi (5^2)(12).

Hence, the expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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WILL GIVE BRAINLYEST TO FIRST NEED ASAP

The box plot shows the number of years during which 16 schools have participated in a marching band competition:


At least how many schools have participated for 3 to 7 years? (4 points)

Group of answer choices

3 schools

5 schools

7 schools

8 schools

Answers

Answer:

122

Step-by-step explanation:

hope thats itbecause i just times 16x7 \_(^-^)_/

Answer:

8 schools

Step-by-step explanation:

read

Round to the underlined place​

Answers

Answer:

I think its 12.0 not sure

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

11.9781

This is simple if its 1-4 it goes down a number 5-9 it goes up

its 7 is the one to the right so the 9 to the left goes up which makes the whole number round up so the answer is 12 :)

I hope this helps :)

A restaurant chain wanted to
find out how the food was in
their store. Identify which
choice best represents a
sample.
A. 100 customers who spent over $50
B. All of the people who ate at the
restaurant on Friday
C. 1 out of every 50 customers.
7.SP.1

Answers

Answer:

C

Step-by-step explanation:

steve has a photo and a rectangular piece of card. the photo is 16cm by 10cm. the card is 30cm by 15cm. steve cuts along the dotted line shown in the diagram below teve throws away the piece of card that is 15 cm by x cm. The piece of card he has left is mathematically similar to the photo. Work out the value of x.

Answers

Answer:

24cm

Step-by-step explanation:

The photo stays the same, the card changes. They must be proportional to each other.

15 by x cm means the 30 is going to be shortened, since it is being cut.

16 / 10 = 1.6

1.6 x 30 = 24

        or

[tex]\frac{16}{10} = \frac{x}{15} \\\\Divide\\\\\frac{16}{10} *\frac{15}{x} = \frac{240}{10x} = 24[/tex]

I need help ASAP right now!!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

A circle has a circumference of 5. An arc in the circle has a central angle of 162°. What is the length of the arc?

Answers

Answer:

The length of the arc is 2.25 units.

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex], where r is radius of the circle.

Total angle of a circle in degree is 360°.

Length of central angle formula

[tex]\textrm{Arc length}=\frac{2\pi r}{360^\circ}\times \textrm{central angle degree}[/tex]

[tex]\Rightarrow \textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]

Given that,

A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.

Then,

[tex]\textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]

[tex]\textrm{Arc length}=\frac{5}{360^\circ}\times162^\circ[/tex]

                 [tex]=\frac{810}{360}[/tex]

                 [tex]=\frac{9}{4}[/tex]

                 =2.25 units.

The length of the arc is 2.25 units.

Answer:

14.14 units

Step-by-step explanation:

Klan Academy - i checked and it was correct.

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. A solid oblique pyramid has an equilateral triangle base with an edge length of 18 inches. What is the height of the triangular base of the pyramid? 9 √ 2 in. 9 √ 3 in. 18 √ 2 in. 18 √ 3 in.

Answers

Answer:

b.[tex]9\sqrt{3}in[/tex]

Step-by-step explanation:

We are given that

Length of equilateral triangle=a=18 in

Base of oblique pyramid is an equilateral triangle.

We have to find the height of the triangular base of the pyramid

Height of the triangular base of the pyramid,h=[tex]acos\theta[/tex]

We know that each angle of equilateral triangle =60 degree

[tex]\theta=\frac{60}{2}=30^{\circ}[/tex]

Substitute the values

Height of triangular base of the pyramid,h=[tex]18cos30=18\times \frac{\sqrt 3}{2}[/tex]in

Using the value of

[tex]cos30^{\circ}=\frac{\sqrt 3}{2}[/tex]

Height of triangular base of the pyramid,h=[tex]9\sqrt{3}in[/tex]

Option b is true.

Answer:

It's the second option 9 √ 3 in

Step-by-step explanation:

just did it on edge

Which expressions is the same as 1/5 of 7

Answers

The answer is 1/5 < 35/5

The city plan includes parks reopening with probability = 1/2, diners with 20% chance, and dental offices with probability = 0.3. According to the plan, in what order will these three areas reopen?

Answers

Answer:

Parks, then dental offices, and finally diners

Step-by-step explanation:

Parks = 50%

Diners = 20%

Dental offices = 30%

Order the place in order of decreasing probability.

If this answer is correct, please make me Brainliest!

Answer:

1) Parks,

2) Dental offices,

3) Diners

Step-by-step explanation:

½ = 0.5

20% = 0.2

0.5 > 0.3 > 0.2

Parks, Dental offices, Diners

In circle P diameter QS measures 30 cm.

What is the approximate length of arc QR? Round to the nearest tenth of a centimeter

a. 7.2 cm
b. 25.8 cm
c. 94.2 cm
d. 14.4 cm

PLEASE HURRY!! I HAVE LIMITED TIME!! :)

Answers

Given:

The diameter of the circle P is 30 cm.

The radius of the circle P is 15 cm.

The measure of ∠RPS is 125°

We need to determine the arc length of QR.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

[tex]\angle QPR + \angle RPS=180^{\circ}[/tex]

Substituting the values, we have;

[tex]\angle QPR + 125^{\circ}=180^{\circ}[/tex]

          [tex]\angle QPR =55^{\circ}[/tex]

Thus, the measure of ∠QPR is 55°

Arc length of QR:

The arc length of QR can be determined using the formula,

[tex]Arc \ length =(\frac{\theta}{360})2 \pi r[/tex]

Substituting [tex]\theta=55[/tex] and r =15, we get;

[tex]Arc \ length =(\frac{55}{360})2 (3.14)(15)[/tex]

[tex]Arc\ length = \frac{5181}{360}[/tex]

[tex]Arc \ length =14.4 \ cm[/tex]

Thus, the arc length of QR is 14.4 cm.

Hence, Option d is the correct answer.

Complex Numbers in Polar Form Connexus
1. C
z = 6sqrt2 ( cos 3pi/4 + isin 3pi/4)
2. B
z = 6sqrt3 cis 11pi/6
3. D
z = -sqrt3 + 1

Answers

B I’m sure if not comment correct answer

How would you classify the number zero (in the most narrow category)?

Answers

Answer:

It would be a rational number.

Step-by-step explanation:

Definitely not a natural number but it is a whole, an integer, a rational, and a real number. It may not be obvious that zero is also a rational number.

Jaxson and his children went into a movie theater and he bought $42.50 worth of drinks and candies. Each drink costs $6 and each candy costs $3.25. He bought a total of 8 drinks and candies altogether. Write a system of equations that could be used to determine the number of drinks and the number of candies that Jaxson bought. Define the variables that you use to write the system.

Answers

Answer:

6d+3.25c=42.50

d+c=8

Step-by-step explanation:

let's say d is for drinks and c is for candy.

each drink is $6

each candy is $3.25

the porblem told us our total $42.50

so if we mulitpy the cost of each drink and candy together

6d+3.25c=42.50

and

Since he bought a total of 8 drinks and candies, we know that d+c=8

Answer:

Let d = the number of drinks

Let c = the number of candies

6d+3.25c=42.50

d+c=8

What is absolute value

Answers

there is 2 definitions math and technical

Step-by-step explanation:

math=the magnitude of a real number without regard to its sign.

technical=the actual magnitude of a numerical value or measurement, irrespective of its relation to other values.

hope this helped

Answer: "distance from zero on a number line"

Explanation: Absolute value means "distance from zero" on a number line.

Since distance can either be 0 or positive,

absolute value is either 0 or positive.

Absolute value is represented with vertical bars on either side of the number.

An example is shown below, we have the absolute value of -5.

The absolute value of a number is just

the positive version of that number.

So the positive version of -5 is 5.

Which function is equivalent to g(x) = x2 + 15x -54?

Answers

Answer: (x+18)(x-3)

Step-by-step explanation:

It matched (sorry for no explanation)

The equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].

Given information:

The given expression of the function is [tex]g(x) = x^2 + 15x -54[/tex].

We have solve the expression of function to get a relevant expression.

The function is a quadratic polynomial function. So, here we can factorize it as,

[tex]g(x) = x^2 + 15x -54\\g(x)=x^2+18x-3x-54\\g(x)=x(x+18)-3(x+18)\\g(x)=(x+18)(x-3)[/tex]

Therefore, the equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].

For more details about polynomial, refer to the link:

https://brainly.com/question/3204522

Which fraction has the greatest value 1/3 2/3 2/9 2/9

Answers

Answer:

Fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

Greatest fraction to be determine among the fractions 1/3,  2/3, and 2/9.

What is the fraction?

Fraction is defined as the number of composition constitute the Whole.

Here,

1/3 = 0.33, 2/3 = 0.66 and 2/9 = 0.22.

2/3>1/3>2/9

Thus, fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

Divide the sum of 3/4 and −4/7 by their difference

Answers

Answer:

5/37.

Step-by-step explanation:

Sum:

3/4 + -4/7

= 21/28 - 16/28

= 5/28

Difference:

3/4 -  (-4/7)

= 3/4 + 4/7

= 21/28 + 16/28

= 37/28.

Dividing:

5/28 / 37/28

= 5/28 * 28/37

= 5/37.

a. 7/25
b. 7/24
c. 24/25
d. 24/7

Answers

c. 24/25

Step-by-step explanation:

[tex] \bigg(\frac{7}{25}, \: \frac{24}{25}\bigg) =\bigg(x, \: y\bigg) \\

\therefore x = \frac{7}{25}, \:\: y= \frac{24}{25}, \: r = 1\\

\because \sin \theta = \frac{y}{r}\\

\therefore \sin \theta = \frac{ \frac{24}{25}}{1}\\

\huge \purple {\boxed {\therefore \sin \theta =\frac{24}{25}}} [/tex]

Help! Can someone please explain!

Answers

Answer:

( 3 x − 2 ) ( x − 2 ) = 0

Set  3 x − 2  equal to  0  and solve for  x .

x = 2 3

Set  x − 2  equal to  0  and solve for  x .

x = 2

The solution is the result of  3 x − 2 = 0  and  x − 2 = 0. x = 2 3 , 2

The result can be shown in multiple forms.

Exact Form: x = 2 3 , 2

Decimal Form: x = 0. ¯ 6, 2

Step-by-step explanation: There you go hope it helps

n-1/10=2/3 pls help with this

Answers

Answer:

n=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

Answer:

N=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

ASAP!! Please Help! Show Work!! Thx

Answers

Answer:

37

Step-by-step explanation:

To find the side length in the middle is 12. This is because A(12) squared + B(5) squared = C(13) squared.

Now that we know the side length, we can find x. A(35) squared + B(12) squared = C(x) squared.

35*35=1225.

12*12=144.

1225+144=1369

The root of 1369 is 37, so the value of x is 37.

Based on the side lengths given (a, b, and c), which triangles are right triangles?
A)a=18
b=24
c=42

B)a=33
b=56
c=65

C)a=19
b=180
c=181

D)a=3
b=4
c=7

Answers

Answer:

B & C

Step-by-step explanation:

Use the Pythagorean Theorem:   a^2 + b^2 = c^2

A) 18^2 + 24^2 = 2,088   |   42^2 = 1,764     [NOT A]

B) 33^2 +56^2 = 4,225   |   65^2 = 4,225     [B IS CORRECT]

C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761)     [C IS CORRECT]

D) 3^2 + 4^2 = 25  |   7^2 = 49     [NOT D]

I hope this helped you ! In return, please deem this the most brainliest answer.

What is the rule of f(0)

Answers

Answer:

F(0)=(-4)x+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

f(0) = 4^0 -1 =0   because : 4^0 = 1

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