What is the slope of a line that is parallel to the line shown?

Question and options in images below.

Answer:

  30 square units

Step-by-step explanation:

The area of the given right triangle can be found a couple of ways:

The missing side length can be found using the Pythagorean theorem relation between the sides:

  c² = a² +b²

  13² = a² +5²

  a² = 169 -25 = 144

  a = √144 = 12

Then the area is ...

  A = 1/2ab = 1/2(12)(5) = 30 . . . square units

__

The angle at lower right can be found from the trig relation ...

  Cos = Adjacent/Hypotenuse

  cos(A) = 5/13

  A = arccos(5/13) ≈ 67.38°

The area can be found from these side lengths and the angle:

  A = 1/2bc·sin(A)

  A = 1/2(5)(13)sin(67.38°) = 30 . . . square units

_____

Additional comment

The sine of the angle can be computed from the cosine using the identity ...

  sin(x) = √(1 -cos²(x))

In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...

  A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem

Answer:

A) The circumference is equal to the radius of a circle.

Step-by-step explanation:

Here are the options:

A) The circumference is equal to the radius of the circle.

B) The circumference is equal to the diameter of the circle.

C) The circumference is found by multiplying Pi by the radius.

D) The circumference is found by multiplying Pi by the diameter.

The circumference of a circle is the distance around the circle. The radius is a line segment with one end point on the circle and the other endpoint on the center of the circle.

Answer:

A

Step-by-step explanation:

If the current amount he has is B and its 7 LESS then he had earlier add 7 back to find the amount he add  at the start.

Answer:

b+7,Option 1

Step-by-step explanation:

Let the number of buttons Cole had at first be a,

We know,now he has b buttons remaining which is 7 less than a

In other words,

a-7=b

or,a=b+7

Answer:

the answer for the volume of the cylinder is V≈25.13in³

Answer:

h=2         d=4  

r=4/2  , radius is half of the diameter

r=2

V=π  r^2h

V= π x (2)²×2

substitute variables into formula V=25.132741228718

the nearest tenths place V=25.1 inches

Answer:

B

Step-by-step explanation:

175 is the yearly cost which is the constant

The cost is related to the miles so that’s why they’re multiplied together

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.

Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,

C = 0.45x + 175

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

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The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)

A = 28(34) +  (1/2) 11 (28) + (1/2) (9)(34)

A = 1259

Answer: 1259 sq units

Step-by-step explanation:

answer of (ii) : perimeter = 66m

area = 272m^2

Answer:

7x=42

Solve:

7x=42

7x=42/7

/7

x = 6

6 is the maximum cost lisa can spend for each party favor bag.

Answer:

a. 0

Step-by-step explanation:

hope this helps!

The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, 9/(n²+1) = (n+3)/4.

Here, 9×4=(n²+1)×(n+3)

36=n²(n+3)+1(n+3)

36=n³+3n²+n+3

n³+3n²+n+3-36=0

n³+3n²+n-33=0

The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.

Dividing both sides of the equation by n-1, we get:

n²+3n+33/(n-1)=0

Factorizing the numerator, we get:

(n+11)(n+3)=0

Solving this equation, we get n=-11 and n=-3.

Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

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Answer:

A)

400+3x+5000=12x

5400 = 9x

x =600

B)

Profit: zero (break even)

Total cost or Income from 600 Sales: $7200

Answer:

12,762.82$

Step-by-step explanation:

10,000(1+0.05)^5

Answer:

A) 4ab^2

Step-by-step explanation:

19*4 = 76

(a^2*b^3)/(a*b) = a*b^2

Implies, option A.

Answer:

binomial

Step-by-step explanation:

4by + 2b - by

Combine like terms

3by +2b

This is a binomial since it has 2 terms

Answer:

3.3837891

Step-by-step explanation:

1 gallon is 0.133681cubic feet

33.75 gallon =4.5117188  cubic feet

volume =l*b*h

4.5117188=2*1.5*b

b=4.5117188/2*1.5

b=3.3837891

hope this helps

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33.75 gallons is about 4.5 cubic feet

4.5/2=2.25

2.25/1.5=1.5

1.5 is the missing side

Answer:

option b ................

Answer:

Its b got it correct

The total monthly mortgage payment for the house is $975.63

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

The principle amount is $175000

80% of 175000 is =  = $140000

20% of 175000 is =  = $35000

Emi formula is :

p*r*(1-r)^n/(1-r)^n-1

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 360

Putting values in formula we get

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 360

Putting values in formula we get

= $245.301

Adding both the monthly payments:

974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be = 351226.80 dollars

Hence, The total monthly mortgage payment for the house is $975.63.

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Answer:

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Answer:

C

Step-by-step explanation:

A, B, and D don't make sense

Answer:

What exactly is the question asking? Is that the full question? The answer is 20

Step-by-step explanation:

Answer:

20 sq units

Step-by-step explanation:

Answer:

q > 27/61

Step-by-step explanation:

50q + 43 > -11q +70

Add 11 q to each side

50q+11q + 43 > -11q+11q +70

61q +43 > 70

Subtract 43 from each side

61q+43-43 > 70-43

61q > 27

Divide each side by 61

61q/61 >27/61

q > 27/61

Answer:

q > 27/61

Step-by-step explanation:

hope this helps!!

Answer:

30.

Step-by-step explanation:

You could do 15 times the amount by 2 then add 6.

Answer: B, but technically, all of them are correct except C.

Step-by-step explanation:

First, you fill in 1 for n:

= 2 x 4(1)

= 2 x 4

= 8

Next, I filled in 4 for n:

= 2 x 4(4)

= 2 x 16

= 32

Then, I filled in 8 for n:

= 2 x 4(8)

= 2 x 32

= 64

You can already figure this one out, and the answer is B.

Answer:

all are correct except the third choice.

Answer:

To use proportions to solve ratio word problems, we need to follow these steps:

Identify the known ratio and the unknown ratio.

Set up the proportion.

Cross-multiply and solve.

Check the answer by plugging the result into the unknown ratio.

Step-by-step explanation:

Answer

D or the fourth one because i took the quiz and got it right

Answer:

d

Step-by-step explanation:

Answer:

-The subset consists of all of the outcomes where you do not lose.

-The subset consists of all of the outcomes where your friend loses, or there is a tie.

Step-by-step explanation:

Khan Academy

Statements that describe the subset A are option (a) and option (d).

A set of which all the elements are contained in another set. Subset can be empty or equal to the set.

Given sample of space S = {1,2,3,4,5,6,7,8,9}

And subset M of S = {1,4,7} where you win in the spinner game.

If the spinner lands on the subset N of S = {3,6,9} , you tie.

Given A = {1,3,4,6,7,9,} is a subset of S.

Now to verify the options;

In option (a) ;

The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8},  where you lose.

In option (b) ;

The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.

In option (c) ;

The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.

In option (d) ;

The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.

Hence Correct answers are option (a) and option (d).

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The complete question is ;

You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.

All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?

a) The subset consists of all the outcomes where your friend loses or there is a tie.

b) The subset consists of all the outcomes where your friend ties.

c) The subset consists of all the outcomes where there is not a tie and your friend does not win.

d) The subset consists of all the outcomes where you do not lose.

Answer:

Step-by-step explanation:

Answer: Second point is (0.833,0)

Step-by-step explanation:

1. To determine slope you must use this formula Y= Mx + B

- M is the slope (positive or negative)

- B is the y-intercept

2. To find y-intercept you use (0, B)

3. M = -6/1

- 6 units down and 1 unit to the right since the slope is negative.

Answer:

84.78 in

Step-by-step explanation:

in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is  [tex]2*3.14*13.5[/tex] which equals 84.78  

Answer:

84m³ (A) should be correct

Answer:

A

Step-by-step explanation:

Volume = length × width × height

= 7 × 4 × 3

= 84 m²

Answer:

Option A is correct.

Step-by-step explanation:

P  = C - (5/100)C = (95/100)C = 95% of C

Hope this helps!

:)