A headband design calls for 1/5 yard of fabric. If Elizabeth has 3 yards of fabric, how many headbands can she make.

Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

Answer:

m<P = 48°

m<Q = 132°

Step-by-step explanation:

Given:

m<S = (14x + 6)°

m<R = (5x + 3)°

Required:

m<P, m<Q

Solution:

✔️First, find the value of x

m<S + m<R = 180° (consecutive angles are supplementary)

14x + 6 + 5x + 3 = 180 (substitution)

Collect like terms

19x + 9 = 180

19x = 180 - 9

19x = 171

x = 171/19

x = 9

✔️m<P = m<R (opposite angles are congruent)

m<P = (5x + 3)° (substitution)

Plug in the value of x

m<P = 5*9 + 3

m<P = 48°

✔️m<Q = m<S (opposite angels are congruent)

m<Q = (14x + 6)°

Plug in the value of x

m<Q = 14*9 + 6

m<Q = 132°

9514 1404 393

Answer:

  3 days

Step-by-step explanation:

You can estimate the answer (correctly) by observing that 3 × 70 is 210. This is close enough to 232.85 that you know the number of rental days is not 2 or 4.

The equation for the number of days (d) is ...

  73.95d +11 = 232.85 . . . $73.95 per day plus an extra fee

  73.95d = 221.85 . . . . . . subtract 11

  d = 221.85/73.95 = 3 . . . . divide by the coefficient of d

The saw was rented for 3 days.

Answer:

3 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?

What units are used? (Feet, yards, meters, etc.)

area of yard = 75×55 = 4125 units²

amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.

The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

The width of the rectangular yard W = 55 feet

The length of the rectangular yard L = 75 feet

Let the perimeter of the rectangular yard be = P

And , the required fencing = Perimeter of rectangular yard

Perimeter of rectangular yard P = 2 ( L + W )

Substituting the values in the equation , we get;

Perimeter of rectangular yard P = 2 ( 55 + 75 )

Perimeter of rectangular yard P = 2 ( 130 )

Perimeter of rectangular yard P = 260 feet

Therefore , the value of P is 260 feet

Hence , the perimeter of yard is 260 feet

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Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller

Answer:

16

Step-by-step explanation:

22-6=16 ;0

Answer:

My best guess is D she can make 4 dozen cokies

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is B because  for number A 1+1 =2 2>1.75.  B= 1.5<175, c= 0.5 <1, d. 2>1.75

Answer:

D

Step-by-step explanation:

It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.

9514 1404 393

Answer:

  (c)  y=(1/2)(360−152) because you subtract the arc measure from 360° and then multiply by one-half.

Step-by-step explanation:

The inscribed angle y is half the measure of the intercepted arc. That arc is the difference between 360° and 152°. So, y is ...

  y = 1/2(360° -152°)

Answer:

True

Step-by-step explanation:

l-3l>2

3>2= True

Answer:

x=10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I don't know how to explain

Answer:

91in by 100in

Step-by-step explanation:

Answer:

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Step-by-step explanation:

A = l*w

A = (14 1/2)(5 2/3)

A = (29/2)(17/3)

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Answer:

the one that shows -21 in the line

Step-by-step explanation:

The value of the variable x is greater than or equal to 7/6 on the number line.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

13x - 8 ≥ x + 6

Simplify the equation, then the value of x will be

13x - 8 ≥ x + 6

13x - x ≥ 8 + 6

12x ≥ 14

x ≥ 14 / 12

x ≥ 7/6

The value of the variable x is greater than or equal to 7/6 on the number line.

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Answer:

50

Step-by-step explanation:

p=2(l+w)

2(10+15)

50

Answer:

$5

Step-by-step explanation:

Answer: 105

Step-by-step explanation:

This is an interesting question. I would rewrite it as

In triangle FGH, angle FGH=25° and angle FHG=50. What is the measure of ∠HFG?

In the original question, the answer could technically be 25 or 50 is angle HFG.

Assuming that HFG is not equal to 25 or 50, the answer is 180-25-50, or 105. (the sum of the inner angles of a triangle is 180)

Answer:

Sean is late for dinner.

Step-by-step explanation:

A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.

If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.

When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.

If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.

In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.

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Answer:

1/128

Step-by-step explanation:

use formula: an = a1 × r ^ n-1

a1 = 4

r = 0.5

n = 10

a10 = 1/128

9514 1404 393

Answer:

  (x, y) = (6, -2)

Step-by-step explanation:

My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...

  (x, y) = (6, -2)

__

There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.

  7x +8y -26 = 0

  12x +7y -58 = 0

__

  [tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]

The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.

  d1 = (7)(7) -(12)(8) = -47

  d2 = (8)(-58) -(7)(-26) = -282

  d3 = (-26)(12) -(-58)(7) = 94

The solution to the equations is given by ...

  1/d1 = x/d2 = y/d3   ⇒  

  x = d2/d1 = -282/-47 = 6

  y = d3/d1 = 94/-47 = -2

The solution is (x, y) = (6, -2).

_____

Additional comment

If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV

The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.

Answer:

The mean average monthly temperature in City 1 is 48.75°F.

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Step-by-step explanation:

For this case we have the following dataset given:

Average Monthly Temperatures for City 1 (° F)

30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37

Average Monthly Temperatures for City 2 (° F)

15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22

For this case the sample mean can be calculated with the following formula:

[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]

And replacing we got:

[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]

The mean average monthly temperature in City 1 is 48.75°F.

And now we can calculate the following values:

[tex]$|38-48.75|=10.75$[/tex]

[tex]$|66-48.75|=17.25$[/tex]

[tex]$|78-48.75|=29.25$[/tex]

[tex]$|47-48.75|=1.75$[/tex]

[tex]$|75-48.75|=26.25$[/tex]

[tex]$|35-48.75|=13.75$[/tex]

[tex]$|45-48.75|=3.75$[/tex]

[tex]$|56-48.75|=7.25$[/tex]

[tex]$|29-48.75|=19.75$[/tex]

[tex]$|49-48.75|=0.25$[/tex]

[tex]$|37-48.75|=11.75$[/tex]

And the mean absolute deviation is given by:

[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Answer:

45 more apples

Step-by-step explanation:

Well the total is 475

215 is already gone and the remaining goes to the store

475-215= 260

Groccery gets 260

Farmer gets 215

So to find how much more yuou jsut subtract the 2

260-215 which is 45

Answer:

if my calculator is not wrong Is 21

Answer:

there is literally nothing in the picture

Answer:

it's a black screen sized 200x200

This question is incomplete, the complete question is;

he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).

Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.

Required:

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

Answer:

a)

the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Step-by-step explanation:

Given the data in the question;

lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;

probability; feel  guilty about wasting food P(A) = 0.39

probability; feel guilty about leaving light on P(B) = 0.27

probability; feel guilty for both P(A ∩ B ) = 0.12

a)

probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both

p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )

we substitute

p( A ∪ B ) = 0.39 + 0.27 - 0.12

p( A ∪ B ) = 0.54

Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

probability that a randomly selected person will not feel guilty for either of these reasons;

p( A ∪ B )' = 1 - p( A ∪ B )

p( A ∪ B )' = 1 - 0.54

p( A ∪ B )' = 0.46

Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Answer:

Solution in photo