40.185 + 0.01
Round your answer to the nearest
hundredth.

The height of the radio station antenna is approximately 116 feet to the nearest foot.

From the diagram in the attached image

[tex]h=\text{the height of the radio station antenna}\\x=\text{the distance from the foot of the radio station antenna to where the man stood at first}[/tex]

we now have the following relationships

[tex]tan64^\circ=\frac{h}{x}\\\\\implies x=\frac{h}{tan64^\circ}[/tex]

and

[tex]tan43^\circ=\frac{h}{68+x}\\\\\implies x=\frac{h}{tan43^\circ}-68[/tex]

we can equate the two relationships to eliminate [tex]x[/tex].

[tex]\frac{h}{tan64^\circ}=\frac{h}{tan43^\circ}-68[/tex]

solving for the height of the radio station antenna, [tex]h[/tex], we get

[tex]h=\frac{68\times tan43^\circ \times tan64^\circ}{tan64^\circ -tan43^\circ}\approx 116ft\text{ (to the nearest foot)}[/tex]

Learn more about angle of elevation here: https://brainly.com/question/12483071

Answer:

The answer to the equation is 48.

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the value of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

Answer:

1) Positive slope

2) Negative slope

3) 0 slope

Step-by-step explanation:

1) This is a positive slope. As x increases, y increases.

2) This is a negative slope. As x increases, y decreases.

3) This is a 0 slope. As x increases, y stays the same.

Answer:

First one is positive

Second one is negative

Last one is zero

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

For a relation to be a function then every value of x must map to exactly one unique value of y.

Here every x- value corresponds to exactly one y- value

Then the ordered pairs represent a function

Answer:

34

Step-by-step explanation:

Answer: 1.4 mph

Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.

Would appreciate brainly <3

Answer:

It will travel 1.6 mile

Step-by-step explanation:

Answer: 2 to 3 people who would be smoking

Step-by-step explanation:

22 divided by 10 = 2.2

and since there could be more

or less so it could be 2 or 3

Answer:

The 75th term is 446

Step-by-step explanation:

Using the explict formula you get an=6n-4

you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446

Answer:

446 is the 75th term

Step-by-step explanation:

This sequence increases by 6

2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

Answer:

y+9 = 2(x+3)

Step-by-step explanation:

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

Answer:

C. 8

Step-by-step explanation:

Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.

8 is not a factor of 300.

Hope this helps :)

We want to graph the linear function that models how much Maggie saves, the graph can be seen below.

So we know that maggie starts with $30, and she saves another $30 per week, then after x weeks, the total amount that she has saved is:

S(x) = $30 + $30*x

Now we have the function, to graph it, we just need to get two points of the function and then connect them with a line, to get these points, we just evaluate the function in two different values of x:

S(0) = $30 + $30*0 = $30

S(1) = $30 + $30*1 = $60

So we have the points (0, $30), (1, $60).

Now we just need to graph these points and connect them with a line, the graph can be seen below.

If you want to learn more, you can read:

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Answer:

(0,30) and (1,70)

Step-by-step explanation:

I took the quiz in USATestprep.

Answer:

A 6 km per hour

B 10 min.

Step-by-step explanation:

I just need to fill the 20 character limit

Answer:

Feeling like an addict that ain't had it, up and at it in a minute

If it hadn't been invented, my limit wouldn't be infinite

I'm feeling like an infant in a womb

I'ma be here 'til the tomb

Lately I've been in my room

Lookin' and lookin' at records on the wall

Hold up

Answer:

Slope:  

7

y-intercept:  

(0,2/5)

Step-by-step explanation:

Answer:

c = green line

Answer:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

This is not a function

Step-by-step explanation:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

Since one x value gives two points for y

this is not a function

In fraction form: -(3/5)

Decimal form: -0.6

Hope this helps!

Answer:

y = 4 and x = 11

Step-by-step explanation:

x = y + 7                  Substitute the first equation into the second equation and

                               solve for y

x + 1 = 3y

y + 7 + 1 = 3y

8 = 2y

4 =   y                      x = y + 7

                               x = 4 + 7

                                 x = 11

The TVM solver is a tool found in graphing calculators, that solve Time

Value of Money problems.

Reasons:

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]

Which gives;

[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]

I = 0.003 × 12 = 0.036 = 3.6%

N = n × t = 24

[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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Answer:

15

Step-by-step explanation:

it's where you start. where your going to start you slope on the graph which means that the x would be 0

Answer:

7 whole times, 7.2 decimal times

Step-by-step explanation:

Divide the numbers

Answer:

Below.

Step-by-step explanation:

3 x 3 - 7 = 8 x 9

=> 9 - 7 = 72

=> 2 ≠ 72

The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.

Answer:

a. RS= 3x + 1 =64

group like teams

3x =64 - 1

3x=63

divide both sides by 3

Ans: RS= 21

b. ST= 2x - 2 =64

group like teams

2x= 64-2

2x=62

divide both sides by 2

Ans:ST=31

∆ RS= 21 and ST=31

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!