Identify the domain of the exponential function shown in the following graph :

Answer:

10.07 meters

Step-by-step explanation:

We are given that the angle of elevation is 40° and the boy is 12 meters from the building.

This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].

The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.

Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(40^\circ)=\frac{x}{12}[/tex]

[tex]12tan(40^\circ)=x[/tex]

[tex]x=12tan(40^\circ)[/tex]

[tex]x\approx10.07[/tex]

Therefore, the height of the building is approximately 10.07 meters.

Answer:

138485.1

Step-by-step explanation:

35% of 213,054 = 74568.9

213,054 - 74568.9 = 138485.1

Answer:

Look it up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rule: An absolute value will always be positive.

=> Referring to the rule, the absolute value of |–3.25| is 3.25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Number of 1-cm cube 24. Volume of solid 24 cm^2

Step-by-step explanation:

Answer:

  x = 20

Step-by-step explanation:

The interior angles of a regular octagon have measures of ...

  180° -360°/8 = 135°

We want that equal to the given expression.

  7x -5 = 135

  7x = 140 . . . . add 5

  x = 20 . . . . . divide by 7

The value of x is 20.

Answer:

20

Step-by-step explanation:

Regular octagon means that each angle is 135 degrees, so 135 = (7x - 5).

135 = 7x - 5,

135 + 5 = 7x,

140 = 7x,

140 / 7 = x,

20 = x

Answer:

x = 19

Indicated angles: 113°

Step-by-step explanation:

We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

Let's solve 6(19) - 1 first.

Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75

We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer: 60 square units

Area of a triangle formula: 1/2 * base * height

So, the height is 10 units and base is 12 units

1/2 * 10 * 12

= 60 square units

Answer:

C.) 630

Step-by-step explanation:

14x15=210

210x3=630

See attachment for answer and math work.

Answer:

x = 13

Step-by-step explanation:

need to solve for x so we get it by itself by adding 10.5 on the left side to cancel it out. what you do to one side you do to the other so since we added 10.5 to the left we need to add 10.5 to the right 10.5 + 2.5 =13

Uhmm I think around 70 days or 90

I'm not sure

Answer:

6 days

Step-by-step explanation:

1 boy workload = 1/2 1 man workload

2 boys workload = 1/2*2 = 1 man workload

so 3 men + 2 boys workload = 4 men workload

3 men .....   8 days ... 24man-days to build

4 men .....   x days ... 24man-days to build

x=24/4=6

Answer:

25% of 2000= 500

25% of 10000= 2500

Step-by-step explanation:

Answer:

22 miles per hour

Step-by-step explanation:

1. Formula: speed = distance/time

2. s = 51.7 mi ÷ 2.35 hrs

3. s = 22 miles per hour

Answer:

c i think because the problem =-

[tex] - \frac{1}{4} [/tex]

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

[tex]Height = 24\ in[/tex]

[tex]Width = 28\ in[/tex]

From the center of the mirror to the floor of the wall, the distance is:

[tex]Distance =5\frac14\ ft[/tex]

So, the distance to the top of the mirror will be:

[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]

Substitute 24 for height

[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]

[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]

Convert feet to inches

[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]

[tex]Top = 63\ in+ 12 \ in[/tex]

[tex]Top = 75 \ in[/tex]

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

[tex]Distance = 8\ ft - 75\ in[/tex]

Convert feet to inches

[tex]Distance = 8\times 12\ in - 75\ in[/tex]

[tex]Distance = 96\ in - 75\ in[/tex]

[tex]Distance = 21\ in[/tex]

Hence, the distance is 21 inches

Read more about lengths at:

https://brainly.com/question/10545161

Answer: i think the answer is B

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

84 = 5x + 9

Subtract 9

75 = 5x

Divide by 5

x = 15

Answer:

x = 15

Step-by-step explanation:

5x + 9 and 84 are alternate angles and are congruent , so

5x + 9 = 84 ( subtract 9 from both sides )

5x = 75 ( divide both sides by 5 )

x = 15

Answer:

b

Step-by-step explanation:

joshua times 3 is basically derrick's amount

so 3j = d

A because the > symbol means greater so if n is on the open side that means its greater

~Shoto Todoroki here~

its option A

i figured this out by trial and error :/

have a good day!

Answer:

used cars can have a lower initial cost

Step-by-step explanation:

it is not a risk/hinder to purchasing a used car

Answer:

the answer is explained below (tap on the photo to view it fully)

Answer:

  (x, y) = (4, -2)

Step-by-step explanation:

The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.

  (3x +4) -2(x +2y) = (4) -2(0)

  x = 4 . . . . . . . . . simplify

Substituting into the first equation, we have ...

  4 +2y = 0

  2 +y = 0 . . . . . . divide by 2

  y = -2 . . . . . . . . subtract 2

The solution is (x, y) = (4, -2).

Answer:

y = -5/6x + 6

Step-by-step explanation:

Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula

Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6

Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6

Answer:

9 gallons will cost $13.50

Step-by-step explanation:

1 gallon = $1.50

1.50 x 9 = 13.50

or

3 gallons = $4.50

4.50 x 9 = 13.50

Answer:

13.5 dollars.

Step-by-step explanation:

4.50 times 3 is 13.5 dollars.

Have A Good Day!!! :)

Answer:

y=1/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(2-0)

m=1/2

y-y1=m(x-x1)

y-3=1/2(x-0)

y=1/2(x)+3

y=1/2x+3

Answer:

5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr

Step-by-step explanation:

5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.

6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.

7. Alternate exterior, same as #1

8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines

9. Corresponding since they are at the same place on the 2 parallel lines.

Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.