The glass part of a window is 32 1/2 inches wide. Including the frame on the left and right sides, the total width is 42 inches. If the left and right frames are equal, what is the width of each side of the frame?

Answer:

Are of a Circle = pie x radius squared

Step-by-step explanation:

A = 3.14*2squared

A = 3.14*4

A = 12.56

Answer:

[tex]\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}[/tex]

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

Hope this helps and God bless!

Answer:

(y + 3)² - 8

Step-by-step explanation:

y² + 6y +1

Step 1: Divide the co efficient of y by 2

6 ÷2 = 3

Step2: Now find the square of 3

3² = 9

Step3: Add and subtract 9

y² + 6y + 9 - 9 + 1  = y² +6y + 9 - 8  

                              = y² + 2*y*3 + 3² - 8    

Compare y² +2 * y*3 + 3² with a² +2ab + b²

                             = (y + 3)² - 8

The number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is the n!.Here, n is the number of objects.

A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter.

[tex]\text{Each code=Two latter + One digit}[/tex]

The first letter is chosen from the 23 letters in 23 number of ways. As letters can be repeated, thus second letter chosen from 23 letters in 23 ways.

One digit can be chosen from the 9 digits in 9 different ways. The last letter can also be chosen in 23 ways. Thus, the number of times employee ID codes can be generated is,

[tex]n=23\times23\times9\times23\\n=109503[/tex]

Thus, the number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.

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Answer:

it would take them 4 days to build the house

Answer:

Midpoint (-1,7)

Step-by-step explanation:

To find a midpoint, average the x's and then average the y's (add and divide by 2)

The x-coordinate of the midpoint is: (-4+2)/2

= -2/2

= -1

and the y-coordinate is:

(4+10)/2

= 14/2

= 7

So the midpoint is:

(-1,7)

Answer:

(-1, 7)

Step-by-step explanation:

Midpoint of a line segment

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(-4,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,10)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)[/tex]

Answer:

Part A)

0.47/1=0.47x100/1x100=47/100\

Part B)

0.47=47/99

Part C)

0.47=47/99

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this is what I got for the first problem

Part A, 2√5)

5=2.2360679775 5=2x2.2360679775=4.472135955=4.47

Part A, √8)

2 3

V4 8 v9

2 4/5

Part A, √3)

1 2

V1 3 v4

1 2/3 Part A, √27)

5 6

V25 27 v39

5 2/14

-------------------------------------------------------------------------------------------------------------

Part B)

1 2/3 2 3/5 4.47 5 2/14

and this is what I got for the second problem

Step-by-step explanation:

Hope tis helps

Answer:

19sides if sum is 3060

38sides if sum is 6480

Answer: i need time to work on this but i think its 3,3

Step-by-step explanation:

Answer:

Square Root of 10: (3, 4) and (2,1)

(-4,-2) and (-3, 1)  (-2, 3) and (1,2)

Square Root of 29: (3,7) and (5,2)

(5, -2) and (3,3)  (4,-1) and (-1,1)

Answer:

D. {(1,2) , (2,3) , (3,4) , (4,5)}

Step-by-step explanation:

Functions are relations with one output for any unique input. Relations that pass the vertical line test have one output for each input. In this case, D was the only set that met the criteria.

Answer:

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

Step-by-step explanation:

To solve for y, you have to isolate it on one side of the equation.

First, you have to subtract by 12x from both sides.

[tex]\Longrightarrow:\sf{12x+3y-12x=9-12x}[/tex]

Solve.

[tex]\Longrightarrow:\sf{3y=9-12x}[/tex]

Then, you divide by 3 from both sides.

[tex]\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

Solve.

[tex]\sf{\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

[tex]\sf{\dfrac{9-12x}{3}}[/tex]

Use the distributive property.

[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}[/tex]

9-12x=3(3-4x)

[tex]\sf{\dfrac{3\left(3-4x\right)}{3}}[/tex]

Divide the numbers from left to right.

3/3=1

3-4x

Then, rewrite the problem down.

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

y = (3) - (4x)

Step-by-step explanation:

Note: Since there is only one equation given, the value of "y" will not be a fixed value.

Given equation:

Our main goal to solve for "y" is to have the y-variable on one side, and a specific value or variable on the other side (e.g., y = 3 or y = 4x) . Start out by subtracting both sides by 12x. This will isolate the y-variable and it's cooeficient (3).

Once the y-variable and the cooeificent of the variable have been isolated, we can divide both sides by the cooeficient to isolate the variable.

Therefore, the value of "y" is 3 - 4x.

Answer:

Step-by-step explanation:

Could you update the question? It is not clear enough

The measure of each arc is 30.

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.

We know that,

Chord Arcs Theorem :-

If two chords in a circle are congruent, then their intercepted arcs are congruent.

2x+20 = 4x+10

2x = 10

x = 5

Therefore,

2(5) + 20 = 30

Hence, the measure of each arc is 30.

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Answer:

2 for A, 1 for B

The tiny floating two means multiply the number by itself, so;

[tex]2 * 2 = 4[/tex]

[tex]1 * 1 = 1[/tex]

Add the two together.

[tex]4 + 1 = 5[/tex]

Answer: X= 306/19

Step-by-step explanation:

Answer:

Answer is B. Will he be able to stay under the 15,000 miles per year limit?

Step-by-step explanation:

Just took the tes

Answer:

B. Will he be able to stay under the 15,000 miles per year limit?

Step-by-step explanation:

Answer:

b ≤ 7

Step-by-step explanation:

Given that:

A red block and a blue block are on a scale.  The red block weights 9 ounces. The total weight of both blocks is 16 ounces.  

To Find:

Which inequality best represents b, the possible weight of the blue block in ounces?

Knowing that;

< ⇒ less than

> ⇒ Greater than

≤ ⇒ less than or equal to

≥ ⇒ greater than or equal to

Solve:

Since the total blocks is 16 ounces that means it can't be pass 16 also known as can't be greater than. As well as, it given us that the red block weight 9 ounces that means

16 - 9 = 7

which given us that it must be equal to 7 or less than 7 to make it true.

Thus,

b ≤ 7

Kavinsky

Answer:

J

Step 1. Find slope

(-1 - 3)/(2 + 2)

-4/4

m = -1

Step 2. Write equation

y - 3 = -1 (x + 2)

y = -x -2 + 3

y = -x + 1

Answer:

Step-by-step explanation:

First find the slope:

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

This immediately rules out all answers but J.

Answer:

k = 13

Step-by-step explanation:

substitute x = x + 5 into f(x) , that is

f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL

          = x² + 10x + 25 + 3x + 15 - 10

         = x² + 13x + 30

compare this with f(x + 5) = x² + kx + 30

for the 2 expressions to be equal , then k = 13

Answer:

The number inside radical is 29

Step-by-step explanation:

Given:

To find:

Distance Formula:

[tex]\displaystyle \large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Determine (x2,y2) = (1,1) and (x1,y1) = (3,-4). Therefore:

[tex]\displaystyle \large{\sqrt{(1-3)^2+(1-(-4))^2}}\\\displaystyle \large{\sqrt{(-2)^2+(1+4)^2}}\\\displaystyle \large{\sqrt{4+5^2}}\\\displaystyle \large{\sqrt{4+25}}\\\displaystyle \large{\therefore \sqrt{29}}[/tex]

Therefore, the number inside the radical is 29

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Hi there!

We are given the points (1, 1) and (3, -4)

We want to find the distance between the points

Distance can be found using the formula [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We can label the values of the points first, before calculating to help avoid confusion and mistakes.

[tex]x_1 = 1\\y_1 = 1\\x_2 = 3 \\y_2 = -4[/tex]

Now substitute these values into the formula

d = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

d = [tex]\sqrt{(3-1)^2 + (-4-1)^2}[/tex]

Now, using order of operations, first simplify what is in the parentheses:

d = [tex]\sqrt{(2)^2 + (-5)^2}[/tex]

Now raise 2 and -5 to the second power.

d = [tex]\sqrt{4 + 25}[/tex]

Add the numbers together under the radical

d = [tex]\sqrt{29}[/tex]

The distance is [tex]\sqrt{29}[/tex]

Hope this helps!

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Answer:

1109.8 square feet

Step-by-step explanation:

In this case, assume the leash to be the radius of the circular yard.

Area

Answer:

9

Step-by-step explanation:

Reduce the admission fee. Then divide the rest with cost per game

35 - 8 = 27

=> 27/3 = 9

Answer:

Step-by-step explanation:

Formula_____________

Area of a parallelogram = base × height

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

Area of the parallelogram = base × height

⇔

36 = base × 3

⇔

base = 36/3

        = 12

Answer:

Step-by-step explanation:

The total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.

FICA tax comprises of:

Social security= 6.2%

Medicare=1.45%

Hence:

Social Security=$38,480 x 0.062

Social security =$2,385.76

Medicare= $38,480 x 0.0145

Medicare=$557.96

FICA tax=$2,385.76+$557.96

FICA tax=$2,943.72

Therefore the total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.

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Answer:

D

Step-by-step explanation:

i just want the points but if i do some math based off of the question i think its C

Answer: second option

Step-by-step explanation: Mary's age plus X = 70

63.5 + X = 70

Subtract 63.5 from both sides

X = 70 -63.5

Answer 6.5