From a horizontal distance of 80 m, the angle of elevation to the top of a flagpole is 18 degree. Calculate the height of the flagpole to the nearest whole meter.

Answer: the y-intercept is 1/2

Answer:

height = 1/4y

Step-by-step explanation:

V(cylinder) = πr²h

V(cone) = πr²h ÷ 3

V(cyl) = πx²y

V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4

πx²y = πx²y ÷ 4

if you divide each side by πx² you get:

y = y/4

height is 1/4y

Answer:

B) 9

Step-by-step explanation:

110 + 75 + 11x - 9 + 8x + 13 = 360

19x + 189 = 360

19x (+ 189 - 189) = 360 - 189

19x = 171

19x/19 = 171/19

x = 9

Answer:

5+5 is 10 is simple question

Answer: 6.8 inches

Step-by-step explanation:

Answer:

14.0625 = [tex]\frac{225}{16}[/tex]

6.41666666666... = [tex]\frac{77}{12}[/tex]

Hope that this helps!

Answer:

A. g=6

Step-by-step explanation:

5g-6=24

5g=30

g=30/5

g=6

Answer:

D, g = -8

Step-by-step explanation:

5 (-8) - 6 => 24

-40 - 6 => 24

-46 is NOT greater than or equal to 24.

Answer:

162 m^2

Step-by-step explanation:

Tops:  

 The area of the high top is 3*2 = 6

The area of the lower top is 5*2 = 10

                                                        --------

                                                           16

Bottom:

The area of the bottom is 8*2 =16

Back:

The area of the back is 2*11 = 22

Front:  

The top front is 9*2 =18

The bottom front is 2*2 =4

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

                                           22

Sides

The area of the left side is

               vertical piece  11*3 =33

                 horizontal piece 5*2 = 10

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

                                                           43

The right side is the same = 33+10 = 43

Add them together

top+bottom+ back+front+left+right

16+16+22+22+43+43 =162 m^2

This is the transitive property :)

Answer:

Step-by-step explanation:

Solution

Order of operations

Answer:

w = 5

Step-by-step explanation:

Combining like terms is a very important part to this equation!

5.2w - 1.4 = 3.2w + 8.6

I added 1.4 to the right side first, though you must do it to the left side of the equation as well

5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)

5.2w = 3.2w + 10

Combine the remaining like terms. I subtracted 3.2w from both sides.

5.2w + (-3.2w) = 3.2w + (-3.2) +10

2w = 10

Now divide

2w = 10

w =  [tex]\frac{10}2}[/tex]

w = 5

Answer:c and f

Step-by-step explanation:

6.1E-4= 6.1 x 10^⁴ =0.00061

Answer:

Step-by-step explanation:

adjacent=5  ,hypotenuse13  opposite=?

hypotenuse^2=opposite^2+adjacent^2

13^2=opposite^2+5^2

169-25=opposite^2

[tex]\sqrt144[/tex]=opposite

12=opposite

SinA=opposite/hypotenuse

12/13

therefore sinA =`12/13

Answer:

The function that represents the table is [tex]f(x) = 15\cdot 2^{x+1}[/tex].

Step-by-step explanation:

The table represents the following rule: A function whose initial values are [tex]x = -1[/tex] and [tex]f(x) = 15[/tex], as for each increase of the input by -1, the output is doubled. Mathematically speaking, we construct the following geometric progression:

[tex]f(x) = a_{o}\cdot 2^{x-x_{o}}[/tex] (1)

Where:

[tex]a_{o}[/tex] - Initial output.

[tex]x_{o}[/tex] - Initial input.

[tex]x[/tex] - Input

[tex]f(x)[/tex] - Output

If we know that [tex]a_{o} = 15[/tex] and [tex]x_{o} = -1[/tex], then the function that represents the table is:

[tex]f(x) = 15\cdot 2^{x+1}[/tex]

Answer:  394.6 m^3

Step-by-step explanation:

-

Answer:

169.6

Step-by-step explanation:

Answer:

3/8 tablespoons

Step-by-step explanation:

When we add fractions, we have to make each fraction a common denominator.

So we get 1/4 into 2/8 and we have 1/8

So we add and get 3/8

Answer:

Step-by-step explanation:

Given that :

Total amount in cups of green Ooze = 5 cups

From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10

Hence ; amout received by each contestants given equal distribution :

5 cups / 10 = 1/2 cups

1/2 cups per contestant.

Answer:

His overtime pay is of $84.00.

Step-by-step explanation:

He is paid double time for overtime.

Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.

Worked 6 hours overtime:

So his overtime pay is:

$14.00*6 = $84.00

His overtime pay is of $84.00.

Answer:

and the question is? I'm confused

Answer:

(-1, -1)

Step-by-step explanation:

The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).

Answer:

use Pisagorth theormi

23²=18²+x²

x²=23²-18²

23²=529

18²=324

x²=205

so the x =√205

its nearly equal 14.3.....

Step-by-step explanation:

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]

Since tan(3pi/4) = -1

[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]

[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]

Answer: [tex]45.11\ mph[/tex]

Step-by-step explanation:

Given

Speed R varies inversely with time T i.e.

[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]

when R=58 mph, T=7 s i.e.

[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]

when T=9 s

[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]

Answer:

break it in three rectangles!

let the rectangles be A B and C

For A = 4×2

For B 3× (4-2)

For C = 4×3

Total area 26cm²

=> 4(7)–2(7+a)=8

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

==============================================================

Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]

Answer:

a). x=18x2

        18x2=36

Don spent 36 dollars.

b). x=36x0.3

        36x0.3=10.8

Brad's sister spent 10 dollars and 80 cents.

c). 36+18=54

1.0-0.13 = 0.87

54x0.87=46.98

54-46.98=7.02

Don and Brad paid 7 dollars and 2 cents in tax.