what is the angle of elevation of the sun when a 44ft mast casts a 14ft shadow?

Answer:I am pretty sure its 800

Step-by-step explanation:

Answer:

753 rounds to 753 because it is already rounded. 251 stays the same to because it cant round any further. I hope I have helped :)

Answer:

37.5 percent wore white shoes

Step-by-step explanation:

Step-by-step explanation:

F(x) = 2x³ - 3x + 1.

d/dx [2x³ - 3x + 1] = 6x² - 3.

Firstly, we wish to find the stationary points of F(x).

When 6x² - 3 = 0, x = -0.707 or x = 0.707.

Now we use Second Derivative test:

d/dx [6x² - 3] = 12x.

Since 12(-0.707) < 0, x = -0.707 is a relative maximum point.

Since 12(0.707) > 0, x = 0.707 is a relative minimum point.

Hence x = 0.707. To find the exact point you can substitute the value of x back into the equation 2x³ - 3x +1.

Answer:

Step-by-step explanation:

From the information given:

p = 70 - 0.02q

when:

q = 3000

p = 70 - 0.02 (3000)

p = 70 - 60

p = 10 dollars

The total revenue = price × number of people

= 10 × 3000

= 30000 dollars

If the price is $20

20 = 70 - 0.02q

0.02q = 70 - 20

0.02q = 50

q = 50/0.02

q = 2500

∴

If price is $20, The total revenue = 20  × 2500

= 50000 dollars

b)

The revenue function R = price × attendance

R = p × q

R = (70 - 0.02q)q

R = 70q - 0.02q²

c)

R(q) = 70q - 0.02q²

Taking the differential of the value on the right hand side.

R'(q) = 70 × (1) - 0.02 × (2q)

R'(q) = 70 - 0.04q

If we set R'(q) = 0

70 - 0.04q = 0

70 = 0.04q

q = 70/0.04

q = 1750   (critical point)

R"(q) = 0 - 0.04 × 1

R"(q) = -0.04

R"(1750) = -0.04 < 0

∴

R is maximum when q = 1750

d)

At q = 1750

p = 70 - 0.02(q)

p = 70 - 0.02(1750)

p = 70 - 35

p = 35 dollars

e)

R(q) = 70q - 0.02q²   because R is max at q = 1750

R(1750) =  70 × 1750 - 0.02  × (1750)²

R_(max) = 122500 - 61250

R_(max) = 61250 dollars

Given that the actual price is 20 dollars when the price is changed to 35 dollars, we have a maximum revenue of:

Suppose:

p = 20 and q = 2500  (from a)

Then;

R = p × q

R = 20 × 2500

R = 50000 dollars

If R = 35, then q = 1750

R_{max} = 35 × 1750

R_{max} = 61250 dollars

∴

Profit = R_{max}  - R

Profit = 61250 - 50000

Profit = 11250 dollars

Answer:

c

Step-by-step explanation:

i got it right on edg 2020

Answer:

c

Step-by-step explanation:

Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations

since 2010 are given by the functions below:

Cit) 1000 - 500

F(t) = 2500 - 1000

Will their populations ever be equal? If so, when will that happen and what will that population be?

Otherwise, briefly explain why their populations will never be equal.

Step-by-step explanation:

Answer:

24 units squared

Step-by-step explanation:

the area of a parallelogram is its length times height

Answer:

17/24

Step-by-step explanation:

Change the denominators to match

8/24 + 9/24 = 17/24

Answer:

$28

Step-by-step explanation:

$1.75 x 16 = $28

Answer: 10.05

Step-by-step explanation:

Answer: {y,x} = {3,3}

Step-by-step explanation:

1] y=-4x+15

[2] -4x+7y=9

Equations Simplified or Rearranged :

[1] y + 4x = 15

[2] 7y - 4x = 9

Graphic Representation of the Equations :

4x + y = 15 -4x + 7y = 9

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = -4x + 15

// Plug this in for variable y in equation [2]

[2] 7•(-4x+15) - 4x = 9

[2] - 32x = -96

// Solve equation [2] for the variable x

[2] 32x = 96

[2] x = 3

// By now we know this much :

y = -4x+15

x = 3

// Use the x value to solve for y

y = -4(3)+15 = 3

Solution :

{y,x} = {3,3}

Answer:

All triangles has a total angle of 180. So x+38+2x+18+x=180

Solve for x: 4x+56=180 so 4x=124, x=31

Answer:

10/4

Step-by-step explanation:

Answer:

Acute angle Ф = 20.77° (Approx)

Step-by-step explanation:

Given:

5x - y = 2

6x + y = 6

Find:

Acute angle

Computation:

5x - y = 2

6x + y = 6

So,

y = 5x - 2.....eq1

y = -6x + 6......eq2

Slop line y = mx + c

On comparison

m1 = 5 , m2 = -6

So,

TanФ = I(m1-m2)/(1+m1m2)I

TanФ = I(5+6)/(1-30)I

TanФ = 11/29

Ф = 20.77° (Approx)

Acute angle Ф = 20.77° (Approx)

Answer:

steeper

Step-by-step explanation:

y = mx + c where m is the slope and c is the y-intercept.

The slope has been changed from 2 to 4. The higher the slope, the steeper it is. Thus, the slope is steeper now.

Answer:

i'm not sure sorry

Step-by-step explanation:

Answer:

there are infinte number of ratios that are equivaent to 1/2

Step-by-step explanation:

2/4, 3/6, 4/8, 5/10, 6/12 ...

Answer:

2/4, 3/6, 4/8, 5/10, 6/12

Step-by-step explanation:

Just multiply the denominator and numerator!!

For example:

1/2 =2/4

1x2=2

2x2=4

Answer:

1) The distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

2) The distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

Step-by-step explanation:

Find the distance between points

Question 1

(8,-5),(-3,8)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=8, y_1=-5,x_2=-3,y_2=8[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-3-8)^2+(8-(-5))^2}\\Distance=\sqrt{(-11)^2+(8+5)^2}\\Distance=\sqrt{(-11)^2+(13)^2}\\Distance=\sqrt{121+169}\\Distance=\sqrt{290}[/tex]

So, the distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

Question 2

(-1,6),(-4,-7)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=-1, y_1=6,x_2=-4,y_2=-7[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-4-(-1))^2+(-7+6)^2}\\Distance=\sqrt{(-4+1)^2+(-1)^2}\\Distance=\sqrt{(-3)^2+(-1)^2}\\Distance=\sqrt{9+1}\\Distance=\sqrt{10}[/tex]

So, the distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

Answer:

4

Step-by-step explanation:

he should have gotten 45 back

but he only got 33

so the DIFFERENCE is how much he got in batteries, how many packs? well 45−33 = 12   12÷3=4

James bought 4 packages of batteries if James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package

Let he buy x number of packages of batteries.

The cost of packages of batteries = 3x

The linear equation one variable can be framed:

33 + 3x = 45

3x = 45 - 33

3x  = 12

x = 4

Thus, James bought 4 packages of batteries if James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

c

Step-by-step explanation:

(–2)2 + (–4)2 + (18 – 23) = -4-8-5= -17

Answer:

D. [tex]\sqrt[4]{7}[/tex]

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Answer:

2.3 + (-2.4) = -.1

Step-by-step explanation:

adding a negative like this is the same 2.3 - 2.4 and subtracting 2.4 from 2.3.

Answer:

1108.808511

Step-by-step explanation:

Answer:11108.80

Step-by-step explanation:

Answer:

I think the answer is the second option, x >= 0, y>=0

Step-by-step explanation:

I searched it up and the results said that this was the answer.

Step-by-step explanation:

first

(0.8a+0.4b)^2= (0.8a+0.4b) *(0.8a+0.4b)

=

0.64 a^2 + 0.32 ab +0.32ab + 0.16 b^2=

0.64 a^2 + 0.64ab + 0.16 b^2

second

(0.8a-0.4b)^2+1.28ab

= 0.64 a^2 - 0.64ab +0.16 b^2 + 1.28ab

= 0.64 a^2 + 0.64ab + 0.16 b^2

since the first (left parameters ) equals the second(right side parameters)

approved✓✓

Answer:

The opposite of 0 is 0

Answer:

2

Step-by-step explanation:

(x,y)

Answer:

y - (-1) = -3(x-10)

y+1= -3x+30

y= -3x+30-1

y= -3x+29