Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options.

Answer:

  a. 72°

  b. side DF

Step-by-step explanation:

The base angles of an isosceles triangle are congruent and equal to the complement of half the a.pex angle. The shortest side of the triangle is opposite the smallest angle.

∠F = 90° -(36°/2) = 72°

__

The smallest angle is 36°. The side opposite that angle is side DF.

_____

Additional comment

The relation we used to find the base angle is based on the fact that the sum of angles in a triangle is 180°. For angle F, with D = F, we have ...

  D +F +36° = 180°

  2F = 180° -36° . . . . . . substitute D = F, and subtract 36°

  F = 90° -(36°/2) . . . . . divide by 2

Answer:

10+12.50h=5+15h

We move all terms to the left:

10+12.50h-(5+15h)=0

We add all the numbers together, and all the variables

12.50h-(15h+5)+10=0

We get rid of parentheses

12.50h-15h-5+10=0

We add all the numbers together, and all the variables

-2.5h+5=0

We move all terms containing h to the left, all other terms to the right

-2.5h=-5

h=-5/-2.5

h=+2

Step-by-step explanation:

please heart and give brainliest

Answer:

Slope is not defined.

Step-by-step explanation:

If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on a line then the slope of the line is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Now find the slope of the side of a square such that two adjacent vertices of a square are A(2, 3) and B(2, 8).

Take [tex](x_1,y_1)=(2,3)\,,\,(x_2,y_2)=(2,8)[/tex]

Slope of the line [tex]=\frac{8-3}{2-2}=\frac{5}{0}[/tex]

Here, [tex]\frac{5}{0}[/tex] is not defined.

So, slope is not defined.

Answer:

TRUST ME I PUT UNDEFINED AND THATS WRONG BEATCHES

the answer is zero and undefined. because the given is undefined, and to form a square, the 4 angles must be equal to 90, and a perpendicular line to to a line that has an undefined slope is zero, so 2 edges have a zero slope and 2 edges have an undefined sloped. PERIODT

Step-by-step explanation:

Answer:

5184

Step-by-step explanation:

Answer:

C. The quotient of two times some number and four

Step-by-step explanation:

Given the expression 2x÷4

The x be the unknown number.

2x can be written as:

Product of some number and 2 OR two times an unknown number

2x÷4 will then be written as:

The quotient of two times a number and 4

The correct option to describe the equation is "The quotient of two times some number and four"

Answer:

1574yd^2

Step-by-step explanation:

i split into 3, 2 rectangles and a triangle

40 x 30 = 1200

30 - 8 = 22 (height)

60 - 40 = 20 (width)

14 x 22 = 308

20 - 14 = 6 (base of triangle)

formula of triangle = (b x h) / 2

6 x 22 = 132 / 2 = 66

1200 + 66 + 308 = 1574

Answer:

3 hours.

Step-by-step explanation:

135/45=3

Answer:

y - 2 = 2(x + 5)

Step-by-step explanation:

Point slope:

    y - y₁ = m(x - x₁)

Given P(-5, 2) and slope m = 2:

  y - 2 = 2(x - (-5))

  y - 2 = 2(x + 5)

pint, quart, then gallon

least------------> greatest

Answer:

second option

Step-by-step explanation:

Given

a(c + b) = d ← distribute parenthesis on left side

ac + ab = d ( subtract ab from both sides )

ac = d - ab ( isolate c by dividing both sides by a )

c = [tex]\frac{d-ab}{a}[/tex]

Answer:

2 dollars each

Step-by-step explanation:

Answer: $2

Step-by-step explanation: so we know you can buy 10 super size granola bars for $20 so we divide 20/10 and we get $2.

I hope this helps!

Given that,

The diameter of a tennis ball, d = 2.7 inches

Radius, r = 1.35 inches

The dimensions of the storage shed is 14 feet wide, 15 feet long, and 10 feet high.

Volume of the shed is, V = lbh

[tex]V=14\times 15\times 10\\\\V=2100\ \text{feet}^3[/tex]

We can convert radius from inches to feet :

1 foot = 12 inches

Radius, r = 0.1125 feet

Let there are x number of tennis balls that can fit in the shed. So,

[tex]x\times V_b=V_s\\\\\text{Where}\ V_b\ \text{and}\ V_s\ \text{volume of ball and shed}\\\\x=\dfrac{V_s}{\dfrac{4}{3}\pi r^3}\\\\x=\dfrac{2100}{\dfrac{4}{3}\pi \times (0.1125)^3}[/tex]

x = 352105.75 balls

or

x = 352106 balls

Hence, 352106 balls can fit in the storage shed.

Answer:

Step-by-step explanation:

Let the total amount be y

and let the number of hours be x

given that the fixed charge is $10

and the charge per hour is $30

also given is that the tutor will work for a maximum of 4 hours

therefore the total amount the tutor will earn is modelled as

y=10+30x

for 4 hours the tutor will earn

y=10+30*4

y=10+120

y=130

therefore the domain lie between 40 and 130

Answer: 33.6 degrees

Step-by-step explanation:

Answer:

(2,1.5)

Step-by-step explanation:

I think, by looking at the information given on this question, your just looking to see where the lines intersect (which is at 2, 1.5)

Answer:

j ≤ 25

Step-by-step explanation:

Given that :

Total Planned amount on shopping should not be more Than $100

Items purchased : a pair of Jean and 3 shirts

Cost of t-shirt = $25 each

Cost of pair of Jean = j

Amount spent on pair of jeans=?

Total amount spent on shirt = $25 * 3 = $75

Amount left : $100 - $75 = ≤ 25

Hence amount spent on pair of jeans :

j ≤ 25

Answer:

16

Step-by-step explanation:

substitute the values into the equation

9(4)+4(-5)

solve...

36-20=16

Answer:

16

Step-by-step explanation:

9x + 4y

Let x =4 and y = -5

9(4)+ 4(-5)

36 -20

16

Answer:

40 women then? whats the question?

Step-by-step explanation:

theres no question just info

Answer:

67

Step-by-step explanation:

Answer:

560÷c = p (p is price of one btw)

Step-by-step explanation:

Step-by-step explanation:

c = a²

4(14+c)

4(14 + a²)

not sure though^^

Answer:

Step-by-step explanation:

From your question, part A's answer should be t = 12.75 + 0.75v

Part B's calculation is correct.

Part C: Initial fee same at 12.75

Same number of video rented at 124.

Total paid for $0.95 per video is = 12.75 + 124*0.95

= $130.55

Answer:

5 + 4 + 3 = 12

12 ÷ 6 = 2

he puts 2 cups in each glass

Answer:

Indicated below

Step-by-step explanation:

Verbal Expressions of Algebraic Expressions

There are several ways to express w-24. I provide you with some of them:

Answer:

150

Step-by-step explanation:

the line is straight hence gradient is constant

change in y/change in x=gradient

(45-0)/(65-50)

G=3

lunches is x axis

3=(y-45)/(100-65)

(3x35)=y-45

105=y-45

105+45=y

y=150

The length of the roof line is equal to 17.4 feet and the depth of the shed is 15.07 feet.

Given the following data:

First of all, we would assign a variable to the length of the roof line and depth of the shed from front to back respectively.

Let the length of the roof line be h.

Let the depth of the shed be d.

From the image attached, we would determine the length of the opposite side as follows:

[tex]Opp=20.2 -11.5[/tex]

Opposite side = 8.7 feet.

Next, we would determine the length of the roof line by using Sine trigonometric:

[tex]Sin \theta = \frac{Opp}{Hyp} \\\\Sin30 =\frac{8.7}{h} \\\\0.5=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}[/tex]

h = 17.4 feet.

For the depth;

We would determine the length of the roof line by using Tan trigonometric:

[tex]Tan \theta =\frac{Opp}{Adj} \\\\Tan 30 =\frac{8.7}{d} \\\\0.5774=\frac{8.7}{d}\\\\d=\frac{8.7}{0.5774}[/tex]

d = 15.07 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

Answer:

10

Step-by-step explanation:

V=pi radius squared so you need to find what height  is right?

so take 3.14x6 squared=113.04 and then divide 1131 by 113.04 and you will get your answer of 10