Given the vectors shown, find the sum (P+Q+R).

Answer:  17) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

17) a = 29, b = 13, c = 21, C = ???

   c² = a² + b² - 2ab · cos C

21² = 29² + 13² - 2(29)(13) · cos C

441 = 841 + 169 - 754 cos C

441 = 1010 - 754 cos C

-569 = -754 cos C

[tex]\dfrac{569}{754}=\cos C\\\\\cos^{-1}\bigg(\dfrac{569}{754}\bigg)=C[/tex]

41.0° = C

18) a = 29.3, b = 25.7, c = 16.8, B = ???

   b² = a² + c² - 2ac · cos B

25.7² = 29.3² + 16.8² - 2(29.3)(16.8) · cos B

660.49 = 858.49 + 282.24 - 984.48 cos B

660.49 = 1140.73 - 984.48 cos B

-480.24 = -984.48 cos B

[tex]\dfrac{480.24}{984.48}=\cos B\\\\\cos^{-1}\bigg(\dfrac{480.24}{984.48}\bigg)=B[/tex]

60.8° = B

19) a = 12, b = 19, c = 11, A = ???

   a² = b² + c² - 2bc · cos A

12² = 19² + 11² - 2(19)(11) · cos A

144 = 361 + 121 - 418 cos A

144 = 482 - 418 cos A

-338 = -418 cos A

[tex]\dfrac{338}{418}=\cos A\\\\\cos^{-1}\bigg(\dfrac{338}{418}\bigg)=A[/tex]

36.0° = A

20) a = 10, b = 9, c = 18, A = ???

   a² = b² + c² - 2bc · cos A

100² = 9² + 18² - 2(9)(18) · cos A

100 = 81 + 324 - 324 cos A

100 = 405 - 324 cos A

-305 = -324 cos A

[tex]\dfrac{305}{324}=\cos A\\\\\cos^{-1}\bigg(\dfrac{305}{324}\bigg)=A[/tex]

19.7° = A

Answer:

7) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you have a repeating decimal it doesn't matter who many decimal digits there are. Most repeating decimals I have encountered end up converting into a fraction that has a denominator of 9.

Hope This Helps :)

Answer:

It depends

Step-by-step explanation:

It depends on what the repeating decimal is. For instance if the decimal is a repeating 8 then you only have to use one digit. If, however, it is something like .673673673 going on forever you just need however many until it loops again. In this case you would need three, because that is how long the loop is.

Answer:

360 calories

Step-by-step explanation:

you divide 3 by 3/4ths and you get 4. You then multiply 90 by 4 and the solution is 360 calories.

Answer:

360

Step-by-step explanation:

Answer:

2 1/4

Before Simplifying:

9/4

After Simplifying:

2 1/4

Answer: the exact form is 9/4 decimal form is 2.25 and the mixed number form is 2 and 1/4.

Step-by-step explanation:

so take 9/10 and turn 4/10 into 10/10 and the when you divied  use KFC and you turn your division sign into a multiplication sign then you just multiply 9/10 and 10/10 and you get 90/40

Then you just take the zero's off and you have 9/4 which equals 2 and 1/4

2 and 1/4 is your answer.

Answer:

Equation for new diameter: |d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.60 inches

Maximum possible diameter = 8.70 inches

Step-by-step explanation:

We are told that:

Ball specifications require a diameter (d) = 8.65 inches.

Allowable margin of error = 0.05 inch

Now, since we have a value for the allowable margin of error, it means that the absolute value equation to determine the possible value or the new diameter (d') would be;

|d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.65 - 0.05 = 8.60 inches

Maximum possible diameter = 8.65 + 0.05 = 8.70 inches

Answer:

P= any number or color

Step-by-step explanation:

because there is all sorts of cobinations.

But the most possible one is

Red for the spinner and any number for the die.

possible answers.

red:1

Red:2

Red:3

Red:4

Red:5

Red:6

Brainly please

Answer: I think the answer is 1250.

Step-by-step explanation:

I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.

Answer

56

Step-by-step explanation:

i do it on usa test prep

Answer: 30%

Step-by-step explanation:

Given, Percent of families subscribe to the morning newspaper =  50%

Percent of families subscribe to the afternoon newspaper = 65%

Percent of families subscribe to at least one of the two newspapers. = 85%

Now, percentage of the families subscribe to both newspapers = % for morning newspaper  +   % for afternoon newspaper - % for at least one of the two newspapers

= (50+65 - 85) %

=  30 %

Hence, the percentage of the families subscribe to both newspapers = 30%

Answer:

5/32

Step-by-step explanation:

Since 5/8 x 1/4 = 5/32, that is the answer.

Key Note: When you get this type of question, multiply the second  umber by the first.

Answer:

Volume of shed = 38 m³

Step-by-step explanation:

Given:

Length = 5 m

Width = 2 m

Height of wall = 3 m

Height of triangular shed = 1.6 m

Find:

Volume of shed

Computation:

Volume of shed = Volume of walls + Volume of triangular shed

Volume of shed = [lbh] + [1/2][Base area]h

Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6

Volume of shed = [30] + [8]

Volume of shed = 38 m³

Answer:

3

Step-by-step explanation:

multiplying by -1 only changes the number if you're multiplying an odd amount of times, but this time you're going from 28 to 50, so it's even, so the number stays the same.

Answer:

19

Step-by-step explanation:

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]

Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

Answer:

6?

Step-by-step explanation:

??????????????????????????????????????????Is confoosed

Is easy?

Answer:

six

Step-by-step explanation:

bc if u need 6 chopped onions it still means 6 onions just u chop them

Answer:

X=-3

Step-by-step explanation:

5x - 9

-2x + 12

(+) (-)

7x = -21

X= -3

plz mark ice bear as Brainliest

Answer:

C

Step-by-step explanation:

Distribute

-6x + 20 = 15

C

just distribute

hope it helps

Answer:

x = 1/4

Step-by-step explanation:

We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -

3/4 = - 2x + 5/4,

If we subtract 5/4 from either side : - 2x = - 1/2

Now divide either side by - 2 : x = 1/4

Therefore our solution is x = 1/4

Answer:

[tex]x=\frac{1}{4}[/tex]

Step-by-step explanation:

So we have the function:

[tex]h(x)=-2x+\frac{5}{4}[/tex]

And we want to find h(x)=3/4.

So, we want to find the value of x such that h(x) equates to 3/4.

So, substitute 3/4 for h(x):

[tex]\frac{3}{4}=-2x+\frac{5}{4}[/tex]

First, subtract both sides by 5/4. The right will cancel.

[tex]\frac{3}{4}-\frac{5}{4}=-2x+\frac{5}{4}-\frac{5}{4}[/tex]

Subtract on the left:

[tex]-\frac{2}{4}=-2x[/tex]

Reduce on the left:

[tex]-\frac{1}{2}=-2x[/tex]

Now, multiply both sides by -1/2. The right will again cancel:

[tex]-\frac{1}{2}(-\frac{1}{2})=-\frac{1}{2}(-2x)[/tex]

Multiply on the left:

[tex]x=\frac{1}{4}[/tex]

So, for h(x) to be 3/4, the value of x is 1/4.

And we're done!

Answer:

Largest is  [tex]x_2 = \$ 63.506[/tex]

Smallest is  [tex]x_1 = \$ 45.29[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$ 54.40[/tex]

   The  standard deviation is  [tex]\sigma = \$ 13.50[/tex]

The largest and the smallest amount spent by 50% of the costumer is mathematically represented as

        [tex]P(x_1 < X < x_2) = P(\frac{ x_1 -\mu}{\sigma } < \frac{X - \mu }{ \sigma } < \frac{ x_2 -\mu}{\sigma } ) = 0.50[/tex]

=>    [tex]P(x_1 < X < x_2 ) = P(\frac{x_1 - 54.40}{ 13.50} < X < \frac{x_2 - 54.40}{ 13.50} ) = 0.50[/tex]

Given that this is normally distributed we have that

      [tex]P(X <- \frac{x_1 - 54.40}{ 13.50} ) = 0.25[/tex]

and

    [tex]P(X < \frac{x_2 - 54.40}{ 13.50} ) = 0.25[/tex]

From the normal distribution curve that z-score having a probability of 0.25 is  

0.6745

So

    [tex]\frac{x_1 - 54.40}{ 13.50} = -0.6745[/tex]

=>  [tex]x_1 = \$ 45.29[/tex]

and  

   [tex]\frac{x_2 - 54.40}{ 13.50} = 0.6745[/tex]

=>  [tex]x_2 = \$ 63.506[/tex]

Answer:

1:4

Step-by-step explanation:

0.25 tablespoons of sugar will be used per cookie

Answer:

4 cookies per tablespoon of sugar

Step-by-step explanation:

24 cookies divided by 6 tablespoons of sugar equal 4 cookies per tablespoon of sugar

The factored form of 3w - 15, after factoring out the Greatest Common Factor, is 3(w - 5).

To factor out the greatest common factor (GCF) from the expression 3w - 15, we first need to determine the GCF of the two terms.

In this case, the GCF of 3w and 15 is 3. Both terms are divisible by 3.

To factor out the GCF, we divide each term by the GCF:

3w/3 - 15/3

Simplifying further, we have:

w - 5

Therefore, the factored form of 3w - 15, after factoring out the GCF, is 3(w - 5).

Factoring out the GCF is a process that involves identifying the highest common factor of all the terms in an expression and dividing each term by that factor. This helps simplify the expression and can make it easier to work with or further factorize if needed.

In this case, the GCF was 3, so we divided both terms by 3 to factor it out, resulting in the simplified expression w - 5.

To learn more about the greatest common factor;

https://brainly.com/question/11221202

#SPJ6

The complete question:

Find out the factored form of the following expression,

3w – 15

Factoring out the GCF

Answer:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Answer:

Six miles

Step-by-step explanation:

You multiply the two by the three (2x3) and get six (6)

Answer:

-6x² + 5x + 15

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of variables.

Reorder based on descending powers:

-5x² - x² + 7x - 2x + 10 + 5

(-5x² - x²) + (7x - 2x) + (10 + 5)

(-6x²) + (5x) + (15)

-6x² + 5x + 15 is your answer.

~

Answer: $1.99

Step-by-step explanation:

PART A: Cost Of Item/ Number of units of measure

Part B: 10 Pound Tube.

Part C: $19.90 / 10 Lb Tube = $1.99

The Unit cost for the ground beef is $1,99

Answer:

the answer is 3,765

so the estimate is 4,000

B. About 4,000

Answer:

A. $71,087

Step-by-step explanation:

The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person

Jade receives job benefits of 17.5% of her annual gross pay

Jade has an annual gross pay of $60,500

how much in total job benefits does she receive?

Total job benefits received = 17.5% of $60,500 + $60,500

= (17.5 / 100 * 60,500) + 60,500

= (0.175 * 60,500) + 60,500

= 10,587.5 + 60,500

= $71,087.5

The rounded value closest to the answer in the option is $71,087

Amount of decrease: 24 - 9 = 15

Percent of decrease = (15 / 24) x 100

Percent = 62.5%

Answer:

Rotate 180 degrees around (0,0) or flip y axis and then x axis