Trigonometry:
Find cos θ.

Answer:

Step-by-step explanation:

[tex]x^2 + 4x + 4 = 12\\\\x^2+2\cdot x\cdot2+2^2=12\\\\(x+2)^2=12\\\\x+2=-\sqrt{12}\quad\vee\quad x+2=\sqrt{12}\\\\x=-2\sqrt{3}-2\quad\vee\quad x=2\sqrt3-2[/tex]

Answer:

The area of the kids' pool is 900 square meters.

Step-by-step explanation:

The area of the kids' pool is 900 square meters. Only one side length needed to be found because it is a square (all sides are the same). The side length that can be easily found is the one that is shared with the rectangular pool. Using the Pythagorean theorem (a²+b²=c²), that missing side can be calculated. 40² is 1600 and 50² is 2500. To get the missing side ("b"), "c" must be subtracted by "a". 2500-1600=900. Even though that is the answer, the work is not done. The square root of 900 is 30. In the end, the missing side ("b") is 30 square meters. To find the area, you have to multiply 30 by 30. 30 times 30 is 900. So the kids' pool is 900 square meters.

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Answer:

Area of figure:  (4y - 7)(x + 6y + 1)

Step-by-step explanation:

The height of the figure is 4y - 7 and the length is x +  6y + 1.

The area of the figure is the product of height and length, or:

(4y - 7)(x + 6y + 1)

You can buy 10 magazines in $60.

A unit rate means a rate for one of something.

Given that, the cost of 4 magazines is $24.00

For 4 magazine → $24

So, for 1 magazine = 24/4 = $6

So, in $60,

60/6 = 10

Hence, you buy 10 magazines in $60.

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Answer:

B

Step-by-step explanation:

2x+x=180

3x=180

x=60

2x=120

so B

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Answer:

The answer would be B

Step-by-step explanation:

Hope this helps

Step by Step Solution

STEP

1:

           2

Simplify   —

           3

Equation at the end of step

1:

         2

 9xy • ((— • x)3)

         3

STEP

2:

Equation at the end of step

2:

       23x3

 9xy • ————

        33

STEP

3:

Multiplying exponential expressions :

3.1    x1 multiplied by x3 = x(1 + 3) = x4

Dividing exponents:

3.2    32   divided by   33   = 3(2 - 3) = 3(-1) = 1/31 = 1/3

Final result :

 8x4y

 ————

  3  

Step-by-step explanation:

Answer: only (-1, -5)

Step-by-step explanation:

If x= -1 and y= -5

(-5)+5= 2((-1)+1)= 0

The first step would be to find how many players do both activties. So we would need to add 3/8 + 4/5.

I think you may now how to add fractions, but I will explain it anyways.

1. Figure out a common denominator, and find the equivlent fraction

2. Add

15/40 + 32/40   = 37/40

Then we need to figure how many members the fraction 37/40 represents.

As the fraction is already out of 40,

it would represent 37 members.

Therefore, 37 members do both activites.

Answer: 1 number the area is 7200

Step-by-step explanation:

Answer:

$7.2

Step-by-step explanation:

Answer:

$7.20

Step-by-step explanation:

Answer:

(3y + 5) / (y^2)

Step-by-step explanation:

Sorry it's not actually in fraction format. That little button thing is having troubles atm on my end. Hope this is okay

Answer:

B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to

Answer:

2x^3 + 9x^2 - 11x - 30

so a=2, b=9, c= -11 and d= -30

Answer:

[tex] 266.14 \: {cm}^{2} [/tex]

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

[tex] = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} [/tex]

Answer:

Finish your homework first (EVERYTHING) before videogames

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{3x + 5}{4x +2}=\frac{3x+4}{4x + 7}[/tex]

Cross multiply,

(3x+ 5 ) (4x + 7)=(3x + 4)*(4x + 2)

3x*4x  + 3x *7 + 5*4x  + 5*7  = 3x*4x  + 3x*2  +4*4x + 4*2

12x² + 21x + 20x + 35 = 12x² + 6x + 16x + 8   {Combine like terms}

12x² + 41x + 35   = 12x² + 22x + 8

12x² + 41x +35 - 12x² - 22x  = 8

12x² - 12x² + 41x - 22x + 35  = 8

0 + 19x  + 35 = 8

              19x = 8 - 35

             19x  = -27

x = -27/19

Answer:

Area = 1476 units^2

Step-by-step explanation:

(2)(12)(30) + (2)(9)(30) + (2)(9)(12) total area

Area = 1476 units^2

Answer:

1,476 units

Step-by-step explanation:

Formula of surface area (rectangular prism):

A = 2(wl + hl + hw)

2 · (12·9 + 30·9 + 30·12) = 1476

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

Answer:

80 and 120 for 3 pointers

Step-by-step explanation:

Answer:

142 degrees

Step-by-step explanation:

180-38

Answer:

[tex]142[/tex]°

Answer:

300g for 7.49 has the best value

Step-by-step explanation:

200g for 5.69

200/5.69

35.15g for 1

300g for 7.49

300/7.49

40.05g for 1

Answer:

Idont know

Step-by-step explanation:

Answer:

ur answer is b

Step-by-step explanation:

ur welcome

Answer:

y = 75 - 9d

Step-by-step explanation:

y = amount of $ left

An algebraic expression to represent the amount of money left over is y = 75 - 9d

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol can also be used to indicate the logical syntax's order of operations and other features.

Given that You have $75 and need to buy 9 books at the bookstore and each book costs d dollars.

Let y be the amount of $ left

Therefore, the expression would be;

y = 75 - 9d

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Answer:

[tex]\tt{}10x[/tex]

Step-by-step explanation:

[tex]\tt{}2x + 3x + 5x[/tex]

[tex]\tt{}(2 + 3 + 5)x[/tex]

[tex]\tt{}10x[/tex]

Answer:

7 bracelets & 10 rings

Step-by-step explanation:

I sadly don’t have the explanation because I’m trying to find it but I only have the answer

Answer:

there are 4 times larger

Step-by-step explanation: 11 x 4 = 44 so its 4 times larger

Answer:

x = [tex]942\frac{2}{9}[/tex]

Step-by-step explanation:

0.9 ( x - 20) = 830

0.9x - 18 = 830

0.9x = 848

9x = 8480

x = [tex]942\frac{2}{9}[/tex]

Answer:

P = 36 1/6 feet

Step-by-step explanation:

you can create the following proportion:

6 / 7 = 10 / x

cross-multiply:

6x = 70

x = 11 2/3

use the same ratio to write a second proportion to find the last side:

6 / 7 = 15 / x

cross-multiply:

6x = 105

x = 17 1/2

Perimeter = 7 + 11 2/3 + 17 1/2  =  28 7/6 + 7  =  29 1/6 + 7 = 36 1/6 feet