The angles of a triangle add up to 180 degrees.
The second angle is 25 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)

Answer:

13/24

Step-by-step explanation:

If 13/24 are shaded, there's a 13/24 chance it'll randomly be on the shaded region of the area model.

The value of x is 23.78 cm and this can be determined by the cosine function.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given that a right triangle. The hypotenuse is labeled as 25 centimeters. The base is x.

Using the trigonometric functions the value of x can be determined. The cosine function can be used to determine the value of 'x'.

The cosine function is the ratio of the base to the hypotenuse.

Cos 18 = base /hypotenuse

Now, put the values of the base, hypotenuse, and the angle in the equation.

Cos 18 = x / 25

x = 23.78 cm

Therefore, the correct option is c).

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Answer:

12cm

Step-by-step explanation:

They are congruent meaning the same

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. & 2. & 3.  Direct Material Quantity Variance = (Planned Quantity - ActualQuantity) * Planned Price

Planned Quantity = 18,500 pounds

Actual Quantity = 18,800 pounds

Planned Price = $2.50

Direct Material Quantity Variance = (18,500-18,800)*$2.50

= - $750

Thus, the Direct Material Quantity Variance is $750 Unfavorable(As the actual quantity used is more than planned)

Answer:

Step-by-step explanation:

1. The material cost is the cost per pound multiplied by the number of pounds used.

  Planned material cost: (18,500 lb)($2.50 /lb) = $46,250

  Actual material cost: (18,800 lb)($2.54 /lb) = $47,752

  Material cost variance: $47,752 -46,250 = $1,502 . . . (unfavorable)

__

2. The material quantity is ...

  Planned: 18,500 lb

  Actual: 18,800 lb

  Material quantity variance: 18,800 -18,500 = 300 . . . pounds (unfavorable)

__

3. The direct labor rate is the labor cost divided by the labor hours.

  Planned labor rate: $16.50 per hour

  Actual labor rate: $360,000/(20,000 h) = $18.00 per hour

  Labor rate variance: $18.00 -16.50 = $1.50 . . . per hour (unfavorable)

The efficiency is assumed to be measured in units per hour of labor.

  Planned efficiency: (1 unit)/(0.5 h) = 2 units/h

  Actual efficiency: (45,000 units)/(20,000 h) = 2.25 units/h

  Efficiency variance: 2.25 -2.00 = 0.25 . . . units/h (favorable)

_____

Additional comment

Question 1 asks for the price variance, not the cost variance. The price is given in terms of dollars per pound. The variance in price per pound would be $2.54 -2.50 = $0.04 (unfavorable). We assumed the more interesting number is the cost variance, which takes into account the material quantity used.

Efficiency is usually measured in terms of useful output for a given input. For example, auto efficiency is measured in the US in terms of miles per gallon. Hence units per hour would be an appropriate efficiency measure. (Higher is better.)

In some instances, efficiency is measured in terms of the input required to obtain a given output. For example, auto efficiency is measured in metric countries in terms of liters per 100 kilometers. In that sense, the efficiency measure would be hours per unit. (Lower is better.)

Answer:

4/21 or 4 over 21

Step-by-step explanation:

you would add all the numbers, 20+8+14. which equals 42 then it is looking for the ratio total games to tied games so the total is 42 games and tied games 8. so this would be 8 over 42. (8/42) This would be simplified into 4/21.

Answer:

1.333333

Step-by-step explanation:

1) Simplify 24 / 2 to 12.

2 - 8 / 12

2) Simplify 8 / 12 to 0.666667.

2 - 0.666667

3) Simplify.

1.333333

Answer:

Around $1.19

Step-by-step explanation:

$8.34/7= $1.191428571428

35/100 is simplified to 7/20, giving us the final answer.

Answer:

1.5 feet long

Step-by-step explanation:

you have to do 12 ÷ 8 then...

12.0 ÷ 8 = 1.5

Answer:

n=3

Step-by-step explanation:

Think of both these as fractions. 35 is 1/2 of 70 so n has to be half of 6

Answer:

y=1/3x+5

Step-by-step explanation:

The slope of the line is 6-5/3-0, which is 1/3.

We are already given the y intercept; 5, so we have y=1/3x+5

Answer:

7 and 2

Step-by-step explanation:

7 plus 2 is 9. 7 times 2 is 14.

The volume of the bin is the amount of books it can contain.

455 books will fit in the bin

The dimension of the book is given as:

[tex]\mathbf{Book = 0.75ft, 0.75ft, 0.25ft}[/tex]

The dimension of the bin is given as:

[tex]\mathbf{Bin = 4ft, 4ft, 4ft}[/tex]

Start by calculating the volume of the book

[tex]\mathbf{Book = 0.75ft \times 0.75ft\times 0.25ft}[/tex]

[tex]\mathbf{Book = 0.140625ft^3}[/tex]

Next, calculate the volume of the bin

[tex]\mathbf{Bin = 4ft \times 4ft \times 4ft}[/tex]

[tex]\mathbf{Bin = 64ft^3}[/tex]

So, the number of books (n) is:

[tex]\mathbf{n = \frac{Bin}{Book}}[/tex]

This gives

[tex]\mathbf{n = \frac{64ft^3}{0.140625ft^3}}[/tex]

Cancel out the units

[tex]\mathbf{n = \frac{64}{0.140625}}[/tex]

[tex]\mathbf{n = 455.11}[/tex]

Remove the decimals

[tex]\mathbf{n = 455}[/tex]

Hence, 455 books will fit in the bin

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Answer:

0.25 or 1/4

Step-by-step explanation:

12 x blank =3

12x=3

12/12=3/12

3/12=1/4

The answer is 1/4 or 0.25 :)

Answer:0.25

Step-by-step explanation:

12×0.25=3

Answer:

y = 2x + 3

Step-by-step explanation:

Slope: 2

(0,3)

y-intercept: 3 - (2)(0) = 3

Answer:

117, 118

Step-by-step explanation:

In order to find the pair of numbers with a sum of a number (x) whose product is maximum, you must find the numbers closest to half of x.

If the sum is odd, find the two numbers closest to half. If it is even, the largest product is half the sum multiplying itself.

In this case, with 235 being the sum, find the numbers closest to half of 235.

[tex]\frac{235}{2}[/tex] = 117.5

So, the closest numbers to half of 235 is 117 and 118.

The pair of numbers with a sum of 235 whose product is maximum is 117 and 118.

Answer:

20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since x= −4 is a vertical line, the slope is undefined.

Answer:

B.) Undefined

Step-by-step explanation:

By graphing the equation, it will form a vertical line. This is an undefined slope.

Step-by-step explanation:

Ordered candy canes:

This is 3 less than the number of students.

Mr. Kellenberger calculated the required packs wrongly.

He should have ordered one more pack.

Correct way of calculation:

Answer:

12x+4

Step-by-step explanation:

Use the given functions to set up and simplify  ( f + g ) ( x )

Answer:

16, 23, 31, i think

Step-by-step explanation:

Answer:

16,23,31

Step-by-step explanation:

it is non linear because it it doesn't go up by the same amount of numbers each time however we can see that it goes up by 2 then 3 then 4 then 5 so from this we can infer that it will only go up 6 then 7 then 8 ,10 + 6 + 16 16 + 7 is 23 and 23 + 8 is 31

Hope it helps?

♡ The Question/Task(s)! ♡

-Which function can be used to determine the number of rocks, r, a child will collect after w weeks?

*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer(s)! ♡

-The answer is, r = 5w + 15!

I apologize in advance if the answer is incorrect! ♡

*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation(s)/Step-By-Step! ♡

-No Explanation(s)/Step-By-Step provided!

*୨୧ ┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tip(s)! ♡

-No Tip(s) Provided!

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

9514 1404 393

Answer:

  32 2/5 miles per gallon

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

  (40.5 mi)/(1.25 gal) = 32.4 mi/gal

The unit rate is 32 2/5 miles per gallon.

_____

Additional comment

We assume you want the answer as a mixed number, since all of the problem numbers are given in that format.

Answer:

g(x)=(1/2)^x-9+5

Step-by-step explanation:

I took the test. ^ means exponent for no confusion.

Answer:

g(x)=3x−2−7

Step-by-step explanation:

I took the test

Answer:

A phone can be 113g but not 113kg

Answer:

5%

Step-by-step explanation:

There are 60 beads in total,

therefore 3/60 multiplied by 100 equals 5%.

5% of the beads are blue which implies 95% are white.

A cheerful teen willing to help,

who listens to "ROAR,"

stay salty,

stay positive...

Answer:

The scuba diver is 27 feet below sea level.

Step-by-step explanation:

I took the K12 test

Answer:23 below.

Step-by-step explanation:

I took the k12 quiz :D

Step-by-step explanation:

Solve, for x

[tex] \frac{x}{a} + b = c[/tex]

[tex] \frac{x}{a} = c - b[/tex]

[tex]x = a(c - b)[/tex]

[tex] \: [/tex]

Solve, for b

[tex] \frac{x}{a} + b = c[/tex]

[tex]b = c - \frac{x}{a} [/tex]