use the laws of Sines and law of cosines to find missing Dimensions. Part 2​

Answer:

15,000

Step-by-step explanation:

1/3 times 45,000 = 15,00

The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A factory produces blue pens and black pens.

2/3 of the pens produced at the factory are black.

If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.

Number of blue pens = T - 2/3 T = 1/3 T

Given that,

Total pens produced = 45,000

Equation to find the number of blue pens is,

x = 1/3 × 45,000

Solving,

x = 15,000

Hence the number of blue pens produced is 15,000.

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Answer:

(7x+3)(-x-3)

Step-by-step explanation:

-7x²-24x-9 would be the same thing as (7x+3)(-x-3) because 7x*-x=-7x², +3*-3=-9, and 7x*-3 - 3x = -24x

Answer:

A function is a rule that assigns to each input exactly one output.

Step-by-step explanation:

If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.

Answer:

The correct answer is "a rule that assigns to each input exactly one output".

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

100 ≤ (3)(c) + 43

(3)(c) + 43 ≥ 100

Answer:

Amplitude = 5.5 units

Domain = All Real Numbers

Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

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Answer:

A

Step-by-step explanation:

240-35)=205

240-35

205

Answer:

Step-by-step explanation the first one

Answer: it think its A

Step-by-step explanation:

Answer:

Its how you represent a number. Less than a whole number.

Step-by-step explanation:

Answer:

.......................

Step-by-step explanation:

Answer: (1, 10)

Step-by-step explanation:

When you translate, you add or subtract the value you are moving to each coordinate

(6,7) left 5 would be -5 to the x coordinate and 3 up would be +3 to the y coordinate.

6-5=1

7+3=10

new point is (1,10)

moving left 5 units is subtracting 5 from the x value:

6-5 = 1

Moving up 3 units is adding 3 to the y value:

7 + 3 = 10

The answer is (1,10)

Step-by-step explanation:

1. -10b+b=-9

It is like you are doing this:

-10+1=-9

5. 5k+7k=12k

5+7=12

3. 1+5v+v= 1+6v

Like: 5+1

2.-x-3x=-4x

Like:-3-1=4 (both are negative numbers and you just add the second one)

4.-7n-7-8+10n=3n-15

You are doing this with n:

10-7=3 and this with numbers:

-7-8=-15 (both negative again)

6.a-2+1+4a= 5a-1

Like this: 4+1=5 and -2+1=-1

7. 8(x+10)= 8*x+8*10= 8x +80

8. 8(1+6p)= 8*1+8*6p= 8+48p

9.-5(-7+7n)= 35-35n ( when you * negative and positive numbers you get negative result and when you * negative and negative numbers you get positive result)

10.-(9m+7)= -9m-7 ( when you have - before () every number changes its sign).

Sorry for messy writing... Hope this helps.

I think it's c hope it's right

Answer:

34

Step-by-step explanation:

parenthesis get done first!

((5)2+(12)2)

then multiplication

(10+24)

then addition

34

Answer:

5+12+4 =21

Step-by-step explanation:

21 is the answer I think

Answer:

2 times greater

Step-by-step explanation: since 10 subtracted by 8 is 2

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Hi,

x + 3y = 10

3y = 10 - x

y = -1/3x + 10/3

Your slope is -1/3

I hope this helps :)

Answer:

12 options

Step-by-step explanation:

Blue

Blue and Lion

Blue and Bear

Blue and Porpoise

Black

Black and Lion

Black and Bear

Black and Porpoise

Brown

Brown and Lion

Brown and Bear

Brown and Porpoise

Grey

Grey and Lion

Grey and Bear

Grey and Porpoise

There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from

Answer:

[tex]4a[/tex]

Step-by-step explanation:

Just like addition.

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

cost of 4 snacks

Answer: 53

Total cost: 3.50× + 39

Answer:

The answer is B

Step-by-step explanation:

The reason for this is that for every hour, the person earns another $7.25. In 2 hours, this is $14.50, and at the 2 hour mark, only chart B is at that y-coordinate.

Answer:

C. 6(104)=624

Step-by-step explanation:

edge quiz

The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24

The sigma notation is given as:

[tex]\sum \limits^{104}_{n = 1} {6}[/tex]

The above means that we add 6 in 104 places.

i.e. 6₁ + 6₂ + ................ + 6₁₀₄

The expression can be expressed using the following product

[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]

Evaluate the product

[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]

Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24

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Answer:

50 students

Step-by-step explanation:

20 is 40% of 50

because 50 x .40 = 20

Hope this helps!

Answer:

30

Step-by-step explanation:

40%/2=20%

20/2=10

100%-40%=60%

60%/3=20%

10x3=30

Answer:

Lien: $26300 Her husband: $24700

Step-by-step explanation:

x+(x+1600)=51000

2x+1600=51000

2x=49400

x=24700

Her husband earned 24700

24700+1600=26300

Lien earned 26300