The angle of elevation from
Mindy to a cell phone tower is
75°. If Mindy is standing 28
feet from the base of the
tower, find the height of the
cell phone tower.

PLSS I HAVE TO SHOW WORK

Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

[tex]\sqrt{528}[/tex] = KM

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Using the sine ratio in right triangle KMN

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]

[tex]\sqrt{528}[/tex] × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

Maria is wrong because they have completed 1/2.

Step-by-step explanation:

At the top of the Ferris wheel,the ride is 1/2 done. All that is left is to go down,which is the other half. Maria is wrong in saying they are 1/4 done,that is a quarter,not half.

The quadrant in which the angle θ lies when sin θ > 0 and cos θ < 0 will be

in the second quadrant

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

Given data ,

Let the angle be θ

Now , the sin of the angle θ is positive and cos of the angle θ is negative

The equation is given as

sin θ > 0 and cos θ < 0

And , from the trigonometric relations , we know that

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

So , in the second quadrant only sin is positive and all the other trigonometric relations are negative

Therefore , the quadrant where sin θ > 0 and cos θ < 0 will be in the second quadrant

Hence , The quadrant in which the angle θ lies when sin θ > 0 and

cos θ < 0 will be in the second quadrant

To learn more about trigonometric relations click :

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Answer: log3 (216)

Step-by-step explanation:

Answer is 16 because 16/4 = 4 + -12 = -8

Answer:

m=16

Step-by-step explanation:

-8=m/4+(-12)

4=m/4

16=m

so first, you add 12 to the other side to cancel out the -12. 12-8=4. so now you have 4=m/4. to isolate the m, you have to multiply by 4 on both sides, which gives you 16=m or m=16.

i hope this helps :)

Answer:

52,249.6

Step-by-step explanation:

Answer:c + f = 10

200c + 400f = 2400

Step-by-step explanation:

Let's say c is the number of cans of soup and f is the number of frozen dinners.

The total number of items is 10:

c + f = 10

The total amount of sodium is 2400 mg.  Each can of soup has 200 mg, and each frozen dinner has 400 mg.

200c + 400f = 2400

The problem doesn't ask you to solve the system, but I'll solve it anyway.  We can use substitution or elimination.  But first, simplify the second equation by dividing both sides by 200.

c + 2f = 12

Using elimination, subtract the first equation.

f = 2

Plug into either equation to find c:

c = 8

There are 8 cans of soup and 2 frozen dinners.

Answer:

adding 36

Step-by-step explanation:

should be:

y-27=x²-12x

y-27=x²-12x

+12 +12

y-15=x²+x

y-15=x³

+15 +15

y=15x³

Answer:

5/6

Step-by-step explanation:

Answer:

66%

Step-by-step explanation:

66 out of 100 (66/100) of the grid is shaded, which is 66%

i believe the correct answer is:

(-88, 3)

tell me if this is wrong

Answer:

(-88,3)

Step-by-step explanation:

Answer:

6.4 miles per hour

Step-by-step explanation:

19.2/3

Answer:

141

Step-by-step explanation:

First, you would round 72.91 to 73 because the number to the right of 7 is greater than or equal to 5, so you would round up. Same goes for 67.526. round both up to 73 and 68 then add. You would get an answer of 141 :)

Answer: 141

Step-by-step explanation: By rounding up to the nearest whole number, that is taking 72.91 -> 73. The reason it is this way is that when a decimal is past 0.5, you round up. If a decmial is below 0.5, then you round down.

In this specific situation, we get the numbers 72.91 and 67.526.

As I explained, the numbers would round up because both numbers decimal values are above 0.5.

So after 72.91 is 73, and after 67.526 is 68.

68 + 73 =

141

hopefully I helped!

Answer:

Hi how are you doing today Jasmine

Answer:

36cm^2

Step-by-step explanation:

12 x 4 = 48

9 * 4 =36

36/3 =12

48 - 12 = 36

Answer:

its the 4th answer

Step-by-step explanation:

Answer:

D- Neither graph is a funvtion.

Step-by-step explanation:

A function can only have one input to one output.  These have more than one output for each input.  You can also do the vertical line test, if it touches more than two points at the same time while going horizontally across, it is not a function.

Answer:

I think its D also

Step-by-step explanation:

Answer:

By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;

[tex]x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]

Step-by-step explanation:

The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6

The polynomial that divides the given polynomial is x + 1

Therefore, we have;

[tex]\ \ \ \ \ \ \ \ \ \ \ \ x^2 + 5\cdot x + 7\\ (x + 1) \sqrt{x^3 + 7\cdot x^2 +12\cdot x + 6} \\\ {} \ {} \ {} \ \ {} \ {} \ {} \ {} \ {} \ {} \ {} \ \ x^3 + 2 \cdot x^2 \\\ \ \ \ {} \ \ {} \ {} \ {} \ \ {} \ {} \ \ \ {} \ {} \ {} \ \ {} \ {} \ {} \ \ 5 \cdot x^2 + 12\cdot x + 6\\ \ {} \ {} \ {} \ {} \ {} \ {} \ \ {} \ {} 5 \cdot x^2 + 5\cdot x\\\ 7\cdot x+6\\7\cdot x+7\\-1[/tex]

(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1

Expressing the result in the form [tex]q(x) + \dfrac{r(x)}{b(x)}[/tex], we have;

[tex](x^3 + 7\cdot x^2 + 12 \cdot x + 6)\div (x + 1) = x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}[/tex]

Answer: 21 miles

Step-by-step explanation:

Here's the remainder of the question:

Write an equation to determine the distance in miles x between the airport and Ann's home.

We are informed that the taxi fare was $2.10 per mile, and she gave the driver a tip of $5 Ann paid a total of $49.10, this can be expressed into an equation as:

(2.10 × x) + 5 = 49.10

2.10x + 5 = 49.10

2.10x = 49.10 - 5

2.10x = 44.10

x = 44.10 / 2.10

x = 21

The distance between the airport and Ann's home is 21 miles.

Answer:

6. P= 22ft

   A=30ft²

7. P= 37 ft

  A= 65 ft²

8. P= 36 ft

   A=81 ft²

Step-by-step explanation:

Answer: c

Step-by-step explanation:

There's more of a chance of selecting a yellow bc there are more yellow than any other color in the jar

Answer:

Pls send a more clearer picture

Step-by-step explanation:

Answer:

1,2

Step-by-step explanation:

all you have to do is plug in the values for their respective variables and solve accordingly. we have to try all answer choices to make sure we have the right one. we first plug 1,2 into the equation which gives us 2(1)-2=0. then we multiply 2 and 1, which is 2, so now we have 2-2=0. we know that 2-2=0, so we now know that the first answer choice is the correct one.

Answer:1,2

Step-by-step explanation:took thd test and got it right

Answer:

Step-by-step explanation:

   The equation y = mx + b is called the slope-intercept form because both the slope and y-intercept are represented. The variable m, stands for slope, and the variable b, stands for slope.

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11