expanded notation for 209.36

=========================================================

Explanation:

We use cosine to tie together the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411

x = 16.5

Answer:

[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]

Answer:

-1/4

Step-by-step explanation:

we always keep the denominator the same if they are the same number and I just subtracted the numerator

Answer: 97ft

Step-by-step explanation:

Pythagore

Strip^2 = 65^2 + 72^2 = 9409

Strip = squareroot 9409 = 97 ft

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

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Answer:

4%

Step-by-step explanation:

[tex]\frac{part}{entirety} *100[/tex]

[tex]\frac{397}{9925} *100 =4[/tex]

Answer:

x = ±2√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

Answer:

[tex]4x^{2} = 75 - 5[/tex]

[tex]\sqrt{4x^{2}} = \sqrt{70}[/tex]

[tex]4x/4=8.366600265/4[/tex]

[tex]x=2.1 rounded[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Grade 7 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Grade 8 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Total -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Conclusions: Everything had the same answer, 33%, 17% , and 50%.

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

Answer:

The amplitude is 3 and the period is 10π/9.

Step-by-step explanation:

The standard cosine function is in the form:

[tex]y=a\cos(b(x-c))+d[/tex]

Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]

We can rewrite this as:

[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]

Therefore, a = 3, b = 9/5, c = 0, and d  = 0.

Hence, our amplitude is |3| = 3.

Our period will be:

[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]

Answer:

y=x

Step-by-step explanation:

Answer:

Each slice of bread costs $0.06.

Step-by-step explanation:

To find how much each slice of bread costs, you need to divide the cost (0.90) by how many slices there are (15). When you divide the two, you get 0.06. To check your answer you can do 0.06x15 and that will equal $0.90.

Answer:

0.9/15=$0.06 per slice

Also what is this 1910 when did a loaf of bread cost 90 cents????

Answer:

The required slope is equal to -1/2.

Step-by-step explanation:

The given equation of line is :

x + 2y = 10

A line parallel to this line has the same slope. To determine the slope, solve for  y  to change the equation to slope-intercept form:

y = mx+b .....(1)

2y = 10 -x

Dividing both sides by 2.

[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)

Comparing equations (1) and (2),

m = -1/2

Hence, the required slope is equal to -1/2.

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

Answer:

7.8 for 1 cake so add that to your total

Step-by-step explanation:

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!

C. y = 3x - 4

Step-by-step explanation:

Given coordinates:

(2, 2), (3, 5), (5, 11), (7, 17)

The equation of any straight line is

y = mx + c

Where

m = Gradient

c = Constant

Gradient = y2 - y1/x2 - x1

Substitute any two values of y with the respective values of x.

Gradient = 17 - 2/7 - 2

= 15/5

= 3

Substitute the gradient into the general formula.

y = 3x + c

Substitute any value of the coordinate to the equation

2 = 3(2) + c

2 = 6 + c

c = -4

From y = mx + c,

substitute the values of m, the gradient, and c, the constant.

y = (3)x + (-4)

y = 3x - 4

Answer:

c. 0.17

Step-by-step explanation:

The bag have 4 + 2 + 6 = 12 balls.

There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:

2/12 = 1/6 = 0.1666 ≈ 0.17

The expected value of the random variable that assigns  the number of red marbles to each outcome is 0.17.

Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.

Expected value = number of red marbles / total number of marbles

2/12 = 0.17

To learn more about probability, please check: https://brainly.com/question/13234031

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Answer:

2/5a + 4b + 1/6c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the given equation can be simplified to 12m+17

so if we simply the other options we see that A = 13m+17

Answer:

Yes

Step-by-step explanation:

We can see step by step how to solve for x, and get 11.5:

2x+9=32

Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:

2x+9-9=32-9

=

2x=23

In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.

When I mean 1, I mean you want 1x, or just x.

Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:

2x/2=23/2

=

x=11.5

So x equals 11.5, and you were correct.

Hope this helps!

Step-by-step explanation:

- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.

Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.

Answer: step by step explanation

it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.

Answer:

Step-by-step explanation:

so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.

now 16x9=144

and 9x9x9=729

725x25=18225

hope that helps

have a great day/night

19NBoli

Answer:

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

Answer:

Step-by-step explanation:

[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]

Answer:

-343/8 or -42 7/8

Step-by-step explanation:

7(-49/8) = -343/8 or -42 7/8