A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.

Answer:

Is there an image to visualize the field?

Step-by-step explanation:

I would love to help.

Answer:

Magnitude: [tex]2\sqrt{2}[/tex],  Angle: 135 degrees

Step-by-step explanation:

The magnitude of the vector ax + by is

[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]

The angle (in Standard Position) is 135 degrees.

See attached images.

Answer:

33,700m2 Land area: Singapore Flyer stands on 33,700m2 or 363,000 ft2 – an area that will fit 172 tennis courts or 1,120 parking lots. 471 meters is the real answer to the problem

Step-by-step explanation:

Plz brainlist

Answer:

The answer is "-9".

Step-by-step explanation:

[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]

[tex]P(X <= 10.9)=?[/tex]

The z-value is determined using the central boundary theorem

[tex]z = \frac{(x - \mu)}{\sigma}[/tex]

  [tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]

Calculating the value for Aaron

[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]

When the z-value is calculated using Central Limit Theorem

[tex]z = \frac{(x - \mu)}{\sigma}[/tex]

  [tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]

Answer:

The times are equal when compared to each of their teams.

Step-by-step explanation:

Answer:

2π!

Step-by-step explanation:

edge :)

Answer:

50 squared m

Step-by-step explanation:

Volume for triangles is base x hight / 2

10 x 10 = 100 / 2 = 50

Answer:

0.1248 = 12.48% probability of getting 3 blues.

Step-by-step explanation:

The M&Ms are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 + 4 + 4 + 2 + 3 + 3 = 23 total M&Ms, which means that [tex]N = 23[/tex]

Sample of 5 means that [tex]n = 5[/tex]

7 blue means that [tex]k = 7[/tex]

What is the probability of getting 3 blues?

This is P(X = 3).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,23,5,7) = \frac{C_{7,3}*C_{16,2}}{C_{23,5}} = 0.1248[/tex]

0.1248 = 12.48% probability of getting 3 blues.

Answer:

5x4x2

Step-by-step explanation:

The total area of the figure id 35 square cm.

The amount of space taken up by a two dimensional space is called area.

The formula for the area of a triangle is

[tex]A = \frac{1}{2} (b)(h)[/tex]

Where,

A is the area of triangle.

b is the base of a triangle.

h is the height of the triangle.

The formula for the area of square is

[tex]Area = a^{2}[/tex]

Where,

a is the side length of square.

According to the given question.

A triangle is resting on a square.

Side length of square, a = 5cm

So, the area of square = [tex]5^{2} = 25 square cm[/tex]

Also, a triangle with height 4cm.

Since, the triangle is resting on a square.

⇒ Base length of the triangle = 5cm

So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]

Therefore,

The total area of the given figure  = Area of square + Area of triangle

⇒ Total area of figure = (25 + 10) square cm

⇒ Total area of figure = 35 square cm

Hence, the total area of the figure id 35 square cm.

Find out more information about area of triangle and square here:

https://brainly.com/question/11952845

#SPJ3

Answer:

C. 531,441

Step-by-step explanation:

You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.

Answer:

3603600

Step-by-step explanation:

I used my calculator

Answer:

$10 = 5  $5 = 11  $1 = 122

Step-by-step explanation:

i take the same class

Answer:

$10 = 5  $5 = 11  $1 = 122

Step-by-step explanation:

I checked of RSm

Answer:

B

Step-by-step explanation:

I got it wrong but it showed me the right answer so, yea

Answer:

224

Step-by-step explanation:

Answer:

-8p+64

Step-by-step explanation:

Multiply each term in parentheses by 8

8×-p= -8p

-8p+8×8 (8×8=64)

= -8p+64

Answer:

13 of August,

Step-by-step explanation:

All of them worked together at day number zero (August 1).

We know that Elvis works every 3rd day

So he will work at:

day 3, day 6, day 9, etc.

We know that Izzy works every 4th day, then she will work at:

day 4, day 8, day 12, etc.

We know that Janaisa works every 6th day, so she will work at:

day 6, day 12, etc.

We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.

To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:

3)

3*1 = 3

3*2 = 6

3*3 = 9

3*4 = 12

3*5 = 15

...

4)

4*1 = 4

4*2 = 8

4*3 = 12

4*4 = 16

...

6)

6*1 = 6

6*2 = 12

So we can see that 12 is a common multiple of the 3 numbers.

Then they will work together 12 days after August 1th.

That would be the 13 of August,

Answer:   5

Step-by-step explanation:   P(broken bulb) = 1/20  =0.05

Estimated value E = np = 100·0.05 = 5

Answer:

b 112.80

Step-by-step explanation:

took test on edge

The interest that accrues on the initial down payment at 30% interest rate is  $408 .

The term interest refers to money that accrues on a principal sum. It is commonly employed in the parlance of borrowing money.

Since it is a compound interest;

A = P(1 + r/n)^nt

Where;

A = amount

P = principal

r = rate

n = number of times compounded per year

t = total time taken

A = 120(1 + 0.025)^12 × 5

A = $528

A = P + I

I = A - P

I = $528  - $120

I = $408

Learn more about compound interest: https://brainly.com/question/25857212

Answer:

B. y = 5x²

Step-by-step explanation:

As you can see, g(x) is a proper parabola, so it must be some variation of y = x².

Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.

In the graph we can see that where x is equal to 1, y is equal to 5.  On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five.  With that we can say that y = 5x².

Answer:

D

Step-by-step explanation:

Pretty sure its D

Answer:

x=2 and y=-6 aka. (2,-6) which is the point of intersection

Step-by-step explanation:

Use elimination to cancel out y by adding the equations:

5x=10

x=2

Plug x=2 into one of the equations and find y:

2(5)+2y=-2

10+2y=-2

2y=-12

y=-6

Therefore, x=2 and y=-6

Answer:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

c

Step-by-step explanation:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

0.8 inches

Step-by-step explanation:

< R = 180-23-22 = 135°

the length of s = 1.5 × sin 23° / sin 135°

= 1.5 × 0.391 / 0.707 = 0.5865/0.707

= 0.8 inches

Answer:

Step-by-step explanation:

Firstly, change the mixed fraction into improper fraction.

Secondly, multipy 6 containers by 15/4 to get total tons of sugar.

Thus 6*15/4=22.5

Answer:

A=38.88 or 38.9

Step-by-step explanation:

If both are similar then the 9 and the 7.2 are the same

9-7.2= 1.8

9x6=54

7.2-1.8=5.4

7.2x5.4=38.88 or 38.9

Answer:

First multiply the first equation by 2

2(2x + y = 25)

You'll have

4x + 2y = 50

Rewrite both equations

4x + 2y = 50

3x - 2y= 20

Add from the first equation you'll get

7x = 70... X = 10

Substitute x in one of the equations:

3(10) - 2y = 20

30 - 2y = 20

-2y = -10

y = 5