A spotlight is mounted on a wall 9.8 feet above a security desk in an office building. It is used to light an entrance door 14.5 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Answer:

NOCC CD REDSA  DFRESB BGF  DDDFGFDSDF

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

both the squareroot of 19 and 23 are irrational because their square toots have decimals that go on infinately

Answer: 8.3 m

Step-by-step explanation:

Given

The angle of declination is [tex]50^{\circ}[/tex]

Earthworm is [tex]7\ m[/tex] away from the base of the tree

Suppose h is the height of the tree

from the figure, we can write

[tex]\Rightarrow \tan 50^{\circ}=\dfrac{h}{7}\\\\\Rightarrow h=7\tan 50^{\circ}=8.3\ m[/tex]

Answer:

x 8 skeiehrieheodbdoeneorbro

Answer:

y-5=5/8(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-5)/(-8-8)

m=-10/-16

simplify

m=5/8

y-y1=m(x-x1)

y-5=5/8(x-8)

Answer:

42.7

Step-by-step explanation:

Answer:

$1.1 profit

Step-by-step explanation:

100% plus 55% profit = 1.55

2 x 1.55 =3.1

3.1-2=1.1

Answer:

120

Step-by-step explanation:

boys : girls

8 : 5

x : 75

to find x, take 75 and divide it by 5:

75 ÷ 5 = 15

(you do this to determine how you can go from 5 to 75)

take the qoutient and multiply it by 8:

15 × 8 = 180

Answerloser

Step-by-step explanation:

Answer:

its  36 gallons

Step-by-step explanation:

Answer:

2650

Step-by-step explanation:

Ok so,

3000-(3.5(100))

3.5 multiplied by 100 is 350, (move the decimal place 2 times to the right)

so it would be:

3000-350

Simply subtract.

3000-350= 2650

Answer: 2650

Cheers! I hope you can understand it well.

Answer:

first one, and third one

Answer:

The answer is 9.

Step-by-step explanation:

2 squared = 4

4 + 5 = 9

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

Answer:

A. the degree is 4         11x^4-4x^2-12

B. The degree is 5        2x^5-3x^4+3x^3+7x+14

Step-by-step explanation:

The degree is always the highest or greatest exponent in the polynomial. To rearrange the polynomial put it in descending order from highest exponent to lowest exponent with x as an exponent of 1

Answer:

w≤ -5

Step-by-step explanation:

hello :

w+4≤ -1

w+4-4≤ -1-7

w≤ -5

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"...  2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

[tex]\frac{x^5*y^6}{2^{-2}*x^0*x^9}[/tex]

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

[tex]\frac{x^5*y^6}{2^{-2}*x^9}[/tex]

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

[tex]\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4[/tex]

And we also know that:

a^n/a^m = a^(n - m)

Then:

[tex]\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}[/tex]

And we can't simplify this anymore.

Answer:

4. AC = 36

5. m<UTW = 42

Step-by-step explanation:

4.

AB = BC

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

-7x = -49

x = 7

AC = 2(-x + 25) = 2(-7 + 25) = 2(18) = 36

AC = 36

5.

2x + 3 = 5x - 24

-3x = -27

x = 9

m<UTW = 2m<UTV = 2(2x + 3) = 2[2(9) + 3] = 2(21) = 42

m<UTW = 42

Answer:

3. - 8n² -8n + 3

Step-by-step explanation:

(4n^4 - 8n +4) - (8n² + 4n^4 +1)

Firstly, open the brackets.

= 4n^4 - 8n +4 - 8n² -  4n^4 - 1

Now, group like terms.

= 4n^4 - 4n^4 - 8n² -8n - 1 + 4

4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4

= - 8n² -8n - 1 + 4

= - 8n² -8n + 3

Answer:

The amount of steel used = 94.38 [tex]m^{2}[/tex]

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = [tex]\frac{diameter}{2}[/tex]

           = [tex]\frac{4.2}{2}[/tex]

radius  = 2.1 m

Total surface area of a cylinder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

                                      = 2[tex]\pi[/tex]r(r + h)

                                      = 2 x [tex]\frac{22}{7}[/tex] x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 [tex]m^{2}[/tex]

Since [tex]\frac{1}{12}[/tex] of the steel was wasted, then;

[tex]\frac{1}{12}[/tex] x 87.12 = 7.26 [tex]m^{2}[/tex]

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 [tex]m^{2}[/tex]

Thus, 94.38 [tex]m^{2}[/tex] of steel was used in making the tank.

Answer:

Perpendicular lines

Step-by-step explanation:

Brainliest plz

Hope this helped

Ty

Answer:

answer is: 7x^2-14x+10

Step-by-step explanation:

Answer:

1 cup of milk = 3cups of brown sugar

Answer:

It's 3

Step-by-step explanation:

Because...

When we see the table we can find that it is given 2×3=6, 6×3=18, .... and so on so if we multiply 3 with 1 cup of milk then

3×1=3

So from this the answer is 3

Hope you understood!!

Answer:

i think it is A

Answer:

2.2360679775

Step by-step explanation:

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