Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

Answer:

a. Multiplication property of equality

b. Distributive property

c. addition property of equality

Step-by-step explanation:

The first one is wrong because you are multiplying the 2 on both sides to make it equal. There was nothing that they substituted for.

The second one will be the distributive property not the subtraction property of equality. They distributed the 2 into the [tex]\frac{1}{2}x[/tex] and the [tex]-5[/tex]. So that clears up that this step was the distributive property.

This one will be the addition property of equality because when you have a negative number you do the inverse so they added the 10 on both sides. Therefore it's the addition property of equality.

Answer:

D

Step-by-step explanation:

The answer is

y = .613x + 4.142

this function has answer of d

Answer:

the first option..

Step-by-step explanation:

substitute the x values in the table for "x" in the equation and solve

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

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Answer:

Option A, [tex]\$607[/tex]

Step-by-step explanation:

Given: Deborah bought a computer for [tex]25\%[/tex] off the list price.

The list price is [tex]\$2,428[/tex].

To find: The amount Deborah spent on the computer.

Solution: We have,

List price of the computer [tex]=\$2,428[/tex].

Deborah bought the computer for [tex]25\%[/tex] off the list price.

The amount Deborah spent on the computer [tex]=25\% \times 2,428[/tex]

[tex]=\frac{25}{100}\times2428=\frac{2428}{4} =\$ 607[/tex].

So, Deborah spent [tex]\$607[/tex] on the computer.

Hence, option A is correct.

Answer:(-3,-5)

Step-by-step explanation:

Answer: yes Jim is correct

Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.

If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .

The diagram is given below.

From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

More about the quadrilateral link is given below.

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Answer:

c. 13

Step-by-step explanation:

[tex]c=\sqrt{a^{2}+b^{2}} = \sqrt{12^{2}+4^{2}}[/tex] ≈ [tex]12.64911[/tex] ≈ [tex]13[/tex]

Answer:

d is the answer

Step-by-step explanation:

Answer:

48 problems

Step-by-step explanation:

Jenny planned to solve 2/3 of homework

On Saturday she solved 28 problems, which is 7/8 of the planned number

Planned number is:

28 : 7/8 = 28 * 8/7 = 32 problems

Jenny's homework was:

32 : 2/3 = 32 * 3/2 = 48 problems

Answer:

c i think

Step-by-step explanation:

The equation can be used to find how many gallons of lemonade Peter's recipe makes is 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt = 3 gal.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

1 Cups = 0.0625 Galloon.

Peter make 48 cups of drink.

So, 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt

= 24 pt x 1 qt / 2 pt x 1 gal / 4 qt

= 3 gal

Hence, 48 cups of the drink.

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Answer:

I dont even know man I wish I knew too

Answer:

AB

Step-by-step explanation:

Increasing by 5/1

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10

Answer:

okay wheres the question

Step-by-step explanation:

sure whats your question.

I don't see any questions here?

Answer:

She Can Buy 9 tiles before it goes over the price of the other store

Step-by-step explanation:

I multiplied 1.89 times 9 and I got the answer

Answer:

-11

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

slope is always rise/run so

(-8)-(-5)=-3

-3/12=-1/4

the slope is -1/4

Enjoy^^

Answer:

4,-2 that is what it should be

Answer:

14 lessons can be completed

Step-by-step explanation:

From the question, to get the number of lessons that can be completed, we simply multiply the number of months by 2

Thus, we have that;

G(2) = 2 * 7

G(2) = 14 lessons

Answer: 1/125

Step-by-step explanation:

first, i multiplied it.

1/5^3

then, it's easy to evaluate from there.

1/125