Please answer this laws of cosine question

Answer:

1,140 words

Step-by-step explanation:

57/3 = 19 words per minute

there are 60 minutes in an hour

19x60 = 1140

If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.

Let the number of words typed in 1 hours be represented as y

So that;

57 words are typed in 3 min

We know that 60 minutes makes 1 hour

57 words typed in 0.05 hour

y words typed in 1 hours

We cross multiply

57 words × 1 hour = y × 0.05 hour

y = 57hours / 0.05 hours

y = 1140 words

If Carol is able to type 57 words in 3 minutes, then in one hours time she will be able to type 1140 words.

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To find the slope, use the slope(m) formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]        and plug in the two points

(0, 5) = (x₁, y₁)

(-9, -4) = (x₂, y₂)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-4-5}{-9-0}[/tex]

[tex]m=\frac{-9}{-9}[/tex]    [two negatives cancel each other out and become positive]

m = 1      The slope is 1

Answer:

i believe the answer is C

Answer:

$41.25

Step-by-step explanation:

part=%(whole)

x=55%(75)

x=0.55(75)

x=41.25

Answer:

The other 2 angles combined measure 70

Step-by-step explanation:

all of a triangle's angles together measure 180.

If one angle is 110 the other 2 would be 70.

Answer:

I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.

Step-by-step explanation:

The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)

To find the total surface area of the hemisphere, first find the radius of the hemisphere using the formula for circumference. Then, use the formula for the total surface area of a hemisphere to calculate it.

To find the total surface area of the hemisphere, we need to first find the radius of the hemisphere. Since the circumference of the great circle is given as 44 cm, we can use the formula for circumference to find the radius: C = 2πr. Thus, 44 = 2πr. Solving for r, we have r = 44/(2π) = 7 cm.

The total surface area of a hemisphere is given by the formula A = 3πr^2. Plugging in the value of the radius, we get A = 3π(7^2) = 3π(49) = 147π cm^2.

So, the total surface area of the hemisphere is 147π cm^2.

The y intercept of a graph containing the two points (3,1) and (7,-2) is [tex]\frac{13}{4}[/tex]

Solution:

Given points are (3, 1) and (7, -2)

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Let us first find the slope of line

The slope of line is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here the points are (3, 1) and (7, -2)

[tex](x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)[/tex]

Substituting in formula, we get

[tex]m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}[/tex]

To find the y intercept:

[tex]\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }[/tex]

[tex]1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}[/tex]

Thus  y -intercept is [tex]\frac{13}{4}[/tex]

Answer:

The first operation performed when evaluating the given expression [tex]5+(\frac{9x-3}{2})[/tex]  for x=5 is given below :

Step 1: Put x=5 in the above given expression we get

[tex]5+(\frac{9(5)-3}{2})[/tex]

Step-by-step explanation:

Given equation is [tex]5+(\frac{9x-3}{2})[/tex] for x=5

To find the first operation performed when evaluating the given expression [tex]5+(\frac{9x-3}{2})[/tex]  for x=5

[tex]5+(\frac{9x-3}{2})[/tex]

Step 1: Put x=5 in the above expression we get

[tex]5+(\frac{9(5)-3}{2})[/tex]

[tex]=5+(\frac{45-3}{2})[/tex]

[tex]=5+(\frac{42}{2})[/tex]

[tex]=5+21[/tex]

[tex]=26[/tex]

Therefore [tex]5+(\frac{9x-3}{2})[/tex] for x=5 is 26

Therefore [tex]5+(\frac{9x-3}{2})=26[/tex] for x=5

Answer:

∠AOC

Step-by-step explanation:

The statement "A to O to C" is talking about each of the points that form an angle. Each point is given a letter as its name.

The symbol ∠ means angle.

You need two lines to form an angle, and you need two points to form a line. By reusing one of the points, you need three points to form an angle. The point that is being reused is always the point in the middle, in this case, that point is called 'O'.

Answer:

The relationship ⇒ 25x + 40y = 12,250

Step-by-step explanation:

The number of student memberships = x

The number of adult memberships = y

The monthly membership fee for a student = $25

The monthly membership fee for an adult = $40

The total fee = 25x + 40y

Al's Athletic Club receives $12,250 in membership fees for the month of January.

So, the relationship between x and y is:

25x + 40y = 12,250

For every 2 student memberships (2x$25=$50), there were 305 adult memberships.

To represent the relationship between the number of student memberships (2) and the number of adult memberships (y) at Al's Athletic Club for the month of January, we can use an equation based on the given information. Let's assume that there were 2 student memberships and y adult memberships in January. The monthly membership fees for students and adults are $25 and $40, respectively. The total membership fees collected for the month were $12,250.

The total fees can be represented as:

Total Fees = (Number of Student Memberships * Monthly Fee for Student) + (Number of Adult Memberships * Monthly Fee for Adult)

Using the given information, we can write the equation:

$12,250 = (2 * $25) + (y * $40)

Now, we can simplify this equation:

$12,250 = $50 + $40y

To isolate the variable y, we can subtract $50 from both sides of the equation:

$12,250 - $50 = $40y

$12,200 = $40y

Now, divide both sides by $40 to find the relationship:

y = $12,200 / $40

y = 305

So, the relationship between the number of student memberships (2) and the number of adult memberships (y) for the month of January is represented by the equation y = 305. This means there were 305 adult memberships in January for every 2 student memberships.

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Answer:

half a meter long

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

C:   $836.08

Step-by-step explanation:

Edg 2020

The Cindy's new rent be if she includes the renters insurance is $836.08

We are given that;

An annual premium = $565.00

Now,

To find Cindy's new rent, we need to add the monthly payment for the renters insurance to her current rent.

To find the monthly payment for the insurance, we need to divide the annual premium by 12, since there are 12 months in a year. We get:

565 / 12 = 47.08

So, the monthly payment for the insurance is $47.08.

Adding this to Cindy's current rent, we get:

789 + 47.08 = 836.08

Therefore, by unitary method the answer will be $836.08.

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Answer:

Angle 2=   110 degrees

Angle 3 =  70 degrees

Angle 4 = 70 degrees

Step-by-step explanation:

Finding angle 2

In the figure attached below,the angles 1 and 2  Corresponding angles

When two lines are crossed by another line that is  called the Transversal, then, the angles in matching corners are called corresponding angles.

Corresponding angles are equal so

angle 2 = 110 degrees

Finding angle 3

Similarly 2 and 3 are consecutive angles and Consecutive angles are supplementary . That is the sum of the consecutive angles is 180 degree

then

angle 2  +angle 3 = 180

110  + angle 3 = 180

angle 3 = 180 -110

angle 3 = 70 degrees

Finding angle 4

Now angle 3 and angle 4 are alternate interior angle and they are equal

angle 3 = angle 4

so angle 4 is 70 degree

Answer:

110

70

70

Step-by-step explanation:

cause i got it right

The expressions for the given questions are substituted and solved using the provided values of x and y. The solutions for the four questions respectively are 109, 15, 19, and 92.

To evaluate the expressions for questions 5-8, you will need to substitute the values of x and y into each given expression.

Through these steps, you can understand how to substitute and solve such expressions.

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Answer:

17.1

Step-by-step explanation:

The required round of number 17.0891 to the nearest tenth is 17.1.

Given that,
To round the number 17.0891 to the nearest tenth.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,

Given number,
17.0891
Since the number on the tenth place after the decimal is 0 and the value next is 0.08 which is near to 0.1 so the number on the tenth place will increase by a unit and the whole number become,
= 17.1

Thus, the required round of number 17.0891 to the nearest tenth is 17.1.

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Answer:

True

Step-by-step explanation:

Yes, but not all angles in the triangle will be 90 degrees.

Answer:

Step-by-step explanation:

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.

− sin  ( π 2 )

The exact value of   sin ( π 2 )   is  1 .

-1.1

Multiply  

− 1  by  1 .

−1

SIN (3 PIE/2)

The distributed form of -2(x-3)^2 is -2x^2 + 12x - 18.

Step-by-step explanation:

The given question is -2(x-3)^2

step 1 :The formula for (a-b)^2 = a^2 - 2ab + b^2

step 2 :Here, the term (x-3)^2 = x^2 - (2*3x) + 3^2

                                                  = x^2 - 6x + 9

step 3 :The expanded form = -2 (x^2 - 6x + 9)

step 4 : where -2 can be distributed to each term inside the bracket.

Therefore, -2(x^2 - 6x + 9) = -2x^2 + 12x - 18

Answer:

1.032%

Step-by-step explanation:

Answer:

225 employees work as instructors.

Step-by-step explanation:

You want to find what 75% OF 300 is, therefore multiplication will be required in this problem. First you want to convert 75% to a decimal which you could do by just bringing the decimal point to the left twice. which will give you the decimal 0.75.

Now multiply. 0.75*300=225. There are 225 employees that work as instructors.

Final answer:

To find out how many employees work as instructors at Bright Mind Learning, multiply 75% by the total number of employees. 225 of the 300 employees at Bright Mind Learning work as instructors.

Explanation:

To find out how many employees work as instructors at Bright Mind Learning, we need to calculate 75% of the total number of employees. First, convert 75% to a decimal by dividing it by 100: 75/100 = 0.75. Then, multiply this decimal by the total number of employees (300): 0.75 * 300 = 225.

So, 225 of the 300 employees at Bright Mind Learning work as instructors.

Answer:

ok

Step-by-step explanation:

asap

y is some number and it is equal to -4x+2

y being that same number is also equal to x-3

therefore, we can equate -4x+2 and x-3 to get x-3 = -4x+2

This is the same as starting with y = -4x+2 and replacing the y with x-3

----------------

Let's solve for x

x-3 = -4x+2

x-3+4x = -4x+2+4x .... add 4x to both sides

5x-3 = 2

5x-3+3 = 2+3 .... add 3 to both sides

5x = 5

5x/5 = 5/5 .... divide both sides by 5

x = 1

With this x value, you can now find the y value. Pick any equation that has x and y in it. If we picked the first equation, then

y = -4x+2

y = -4*1+2 ... plug in x = 1

y = -4+2

y = -2

Or we can pick the second equation

y = x-3

y = 1-3 .... plug in x = 1

y = -2

-------------------------------------------------------------------------

Graphing the two lines will have them intersect at this location.

Answer:

Step-by-step explanation:

a) increase

Increase = 200 -130 = 70

Percent increase = (70/130)*100 = 70*100/130 = 7*100/13

= 700/13

= 53.85%

Answer:

a) increase

Step-by-step explanation:

Answer:

11 cm

Step-by-step explanation:

Answer:

is there a picture

Step-by-step explanation:

Answer:

OPTION C

OPTION E

Step-by-step explanation:

Distributive property of Addition:

                            a(b + c) = ab + bc

In other words, 'a' is distributed over 'b' and 'c'.

Also, note that a mixed fraction, of the form [tex]$ \textbf{c} \frac{\textbf{x}}{\textbf{y}} = \textbf{c} + \frac{\textbf{x}}{\textbf{y}} $[/tex]

If a mixed fraction is of the type [tex]$ \textbf{-p}\frac{\textbf{q}}{\textbf{r}} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{-(p + } \frac{\textbf{q}}{\textbf{r}}) \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{-p} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{q}}{\textbf{r}} $[/tex]

OPTION A:

[tex]\textbf{3} \bigg ( \textbf{-4} \frac{\textbf{1}}{\textbf{2}} \bigg )[/tex]

This can be written as: [tex]$ 3 \bigg ( - 4 - \frac{1}{2} \bigg ) $[/tex]

Now, we distribute 3 over -4 and [tex]$ -\frac{1}{2} $[/tex].

[tex]$ = 3(-4) + 3\bigg (-\frac{1}{2} \bigg ) $[/tex]

Therefore, OPTION A is incorrect.

OPTION B: [tex]$ \textbf{2} \frac{\textbf{1}}{\textbf{4}} \bigg ( \textbf{1} \frac{\textbf{3}}{\textbf{4}} \bigg ) $[/tex]

Now, this is written as: [tex]$ 2 + \frac{1}{2} \bigg ( 1 + \frac{3}{4} \bigg ) $[/tex]

We have distribute 2 and [tex]$ \frac{1}{2} $[/tex] separately over 1 and [tex]$ \frac{3}{4} $[/tex].

So, we should have [tex]$ 2 (1) + 2 \bigg ( \frac{3}{4} \bigg ) + \frac{1}{2} (1) + \frac{1}{2}. \frac{3}{4} $[/tex]

So, OPTION B is incorrect.

OPTION C: [tex]$ \textbf{-4} \bigg( - 5 \frac{\textbf{1}}{\textbf{3}} \bigg ) $[/tex]

[tex]$ = - 4 \bigg ( -5 - \frac{1}{3} \bigg) $[/tex]

[tex]$ = -4(-5) + (-4) \bigg (- \frac{1}{3} \bigg ) $[/tex]

Hence, OPTION C is correct.

Similar method will help us know that OPTION D has used the Distributive property incorrectly and OPTION E has.

So, the answers are:

OPTION A

OPTION C

OPTION E

the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]

To convert the decimal 13.2857142857 into a fraction, we can follow these steps:

Step 1: Let x = 13.2857142857

Step 2: Multiply x by 10 to move the decimal one place to the right:

x = 13.2857142857

10x = 132.857142857

Step 3: Subtract the original x from 10x to eliminate the decimal:

10x - x = 132.857142857 - 13.2857142857

9x = 119.5714285713

Step 4: Simplify the equation:

9x = 119.5714285713

Step 5: Divide both sides by 9:

[tex]\[x = \frac{119.5714285713}{9}\][/tex]

Step 6: Simplify the fraction:

[tex]\[x = \frac{1195714285713}{90000000000}\][/tex]

Now, the fraction form of 13.2857142857 is[tex]\( \frac{1195714285713}{90000000000} \).[/tex]