Lamar is a commercial real estate agent who earns a yearly salary of $82,500 plus a 2.5% commission on his total sales. If his total sales in one year are $3.75 million, what are Lamar’s earnings for that year?

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

Learn more about mean volatage here:

https://brainly.com/question/17928028

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

Answer:

the answer is d street :)

Answer:

7n-3

Step-by-step explanation:

You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.

Answer:

Only 2 people would be able to go and she would have $5.50 to spend on snacks.

Answer:

2 friends

Step-by-step explanation:

20< 7.75(x) you have to have a less number than the total

Answer:

200

Step-by-step explanation:

So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400

Answer:

x=3.50

Step-by-step explanation:

6(x+7.50)=4(2x+9.50)

6x+45=8x+38

6x-8x=38-45

-2x = -7

x = -7/-2

x = 3.50

        [] The positive interval is where the function is above the x-axis, and the negative interval is where the function is below the x-axis.

        [] To find it, we can graph the function

                    () See attached

        [] When the function is equal to less than 0, it'll be negative, otherwise it is positive

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: Number of weeks

Step-by-step explanation:

Just did it on Ed

The answer is C, 6.6 miles.

Answer:

B

Step-by-step explanation:

I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.

Answer:

D

Step-by-step explanation:

The distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

ZY = [tex]\frac{1}{2}[/tex] UZ = [tex]\frac{1}{2}[/tex] × 8 = 4

Then

UY = UZ + ZY = 8 + 4 = 12 → D

Answer:

I believe it is (0,0)

Step-by-step explanation:

the midpoint can be found by adding the x values together and dividing by 2 for your midpoint x , and doing the same with the ys for the y value

for the x:

(1+-1)=0

0/2=0

and for the y:

(2+-2)=0

0/2=0

making it (0,0)

Answer:

C or B of are the answer choices left hope this helps

Answer:

D Option is the correct one.

Step-by-step explanation:

As,

Distance covered = 40km = 40000m(1k=1000m)

time = 10:15-9:00 = 1:15hours = 75mins

We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.

For calculating distance for one hour,

40000/75 = 533.33m/min (means they covered 533.33m distance in one min)

for one hour:

533.33*60= 32000m = 32km

They covered 32km distance in one hour.

Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.

So for A,

Sum = 19 + 15 =34 (wrong not equal to 32)

For B,

Sum = 18 + 13 = 31 (wrong)

For C,

Sum = 16 + 10 = 26(wrong)

For D,

Sum = 18 + 14 = 32 (Right)

And second distance b/w both distance is 4km.

18-14 = 4(Right)

So, D option is the right one.

I hope it will help you.

Answer:

they are perpendicular

Step-by-step explanation:

Answer:

probably 2.................

Answer:

69

Step-by-step explanation:

420

Answer:

The answer is A (-2)^3 * 6^3

Answer:

Step-by-step explanation:

Use the proportion we have to find the horizontal length:

When y = 10, the value of x is:

[tex]\\ \sf\longmapsto y=2x[/tex]

Put y=10 in equation

[tex]\\ \sf\longmapsto 10=2x{/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]

[tex]\\ \sf\longmapsto x=5units[/tex]

Answer:

91°

Step-by-step explanation:

The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:

180°=x+89°

x=180°-89°

x=91°.

Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.

Answer:

52$

Step-by-step explanation:

13 (75% off) so 13 is 1/4 the price.

13x4 = 52

Answer:

x = 3

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:

15x + 5 + 22x + 4 = 120 add like terms

37x + 9 = 120 subtract 9 from both sides

37x = 111 divide both side by 37

x = 3 and to find the angles replace x with 3 in given expressions

Answer:

If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)

Step-by-step explanation:

Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)

Answer:

5.6 by 19.4

108.64 ft²

21 pumpkins

Step-by-step explanation:

Set length of shorter side as x. Then, the longer side is 4x - 3

He used 50 feet of board, which means, using the formula for perimeter:

x + 4x - 3 + x + 4x - 3 = 50

Simplify and solve.

10x - 6 = 50

10x = 56

x = 5.6

Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4

This means the dimensions of the garden are: 5.6 by 19.4

Area = length times width, so the area is 108.64 ft²

The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728

Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.

Answer:

5/12

Step-by-step explanation:

convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer

he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

Answer:

D   20cos55º

Step-by-step explanation:

cos = adj/hyp

cos55 = adj/20

20cos55 = adj

Answer:

The answer is C

Step-by-step explanation:

Answer: The slope is 1/2 or 0.5