1. You had $ 1 million, but then you spent $999 and then $22.222. How much
money do you have left?

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm

Answer:

84.78

Step-by-step explanation:

The full area of the circle without the cutout is 113.04

The cutout sector is 28.26

So that would make our final answer 84.78

by subtracting 28.26(cutout) from 113.04(full circle)

(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360

Answer:

Step-by-step explanation:

7. The graph does not touch the x axis and never will

8. Horizontal asymptote is y=-100

Answer:

x=[tex]1.22930[/tex]

Step-by-step explanation:

47(218 x+12 ) =−2(17 −528 x)

Simplify 47(218 x+12 ) :    327(21x+4) 327(21x+4) =−2(17 −528 x)

Multiply both sides by 7(21x+4)

327(21x+4) · 7(21x+4)=−2(17 −528 x)· 7(21x+4)

Simplify, 32=−14(17 −528 x)(21x+4)

Solve  32=−14(17 −528 x)(21x+4):    x=32+4√589105 , x=32−4√589105 x=32+4√589105 , x=32−4√589105

Answer:

x = 0.5

Step-by-step explanation:

[tex]\frac{4}{7}(\frac{21}{8}x + \frac{1}{2}) = -2(\frac{1}{7} - \frac{5}{28}x)[/tex]

[tex]1\frac{1}{2}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x[/tex]

[tex]1\frac{1}{2}x - \frac{5}{14}x + \frac{2}{7} = - \frac{2}{7} + \frac{5}{14}x - \frac{5}{14}x[/tex]

[tex]1\frac{1}{7}x + \frac{2}{7} = - \frac{2}{7}[/tex]

[tex]1\frac{1}{7}x + \frac{2}{7} - \frac{2}{7} = - \frac{2}{7} - \frac{2}{7}[/tex]

[tex]1\frac{1}{7}x = - \frac{4}{7}[/tex]

[tex]\frac{1\frac{1}{7}x}{1\frac{1}{7} } = \frac{- \frac{4}{7}}{1\frac{1}{7} }[/tex]

[tex]x = -\frac{1}{2}[/tex]

Answer: 2/13

Step-by-step explanation:

4 aces, 4 nines in a deck of 52 cards

so 8/52 chance of getting one of them reduce to 2/13

9514 1404 393

Answer:

  (i) ∠CDF = 86°

  (ii) ∠BAD = 141°

Step-by-step explanation:

(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.

  ∠CDF = 86°

__

(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...

  ∠CDH = 180° -∠CDF = 180° -86° = 94°

Then ...

  ∠CDA = ∠CDH +∠HDA = 94° +47°

  ∠CDA = 141°

Answer:

A

[2, -4, -6, -2]

Step-by-step explanation:

Answer:

22.4

Step-by-step explanation:

delta math

Answer:22.4

Step-by-step explanation:

Answer:

-3x^2+5

Step-by-step explanation:

f(g(x)) = 3(g(x))+2 = 3(-x^2)+3+2 = -3x^2 +5

Answer:

<CFE = 28

<RPQ = 53

Step-by-step explanation:

1)

<CFE + 152 = 180

<CFE = 180 - 152

<CFE = 28

2)

Complementary means the angles add up to 90 so:

<RPQ + 37 = 90

<RPQ = 90 - 37

<RPQ = 53

Answer:

d

Step-by-step explanation:

Answer:

[tex]\displaystyle \sin(A+B)=\frac{3008}{3233}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}[/tex]

And that the two angles A and B are both in QI (positive acute angles).

Given this, we want to determine the value of sin(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:

[tex]\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11[/tex]

Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:

[tex]h=\sqrt{45^2+28^2}=\sqrt{2809}=53[/tex]

In conclusion:

With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.

With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.

We can rewrite our original expression as:

[tex]\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)[/tex]

And since A and B are both in QI, all trigonometric ratios will be positive.

Using the above conclusions, substitute:

[tex]\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}[/tex]

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Just had to simplify the expression.

Answer:

20 minutes

Step-by-step explanation:

15 minutes past 10 is 10:15

25 minutes to 11 am is 10:35

(60-25=35)

35-15=20

Answer: C

Step-by-step explanation:

i just did this problem and got it right

Decagon is a regular polygon with 10 sides. The correct option that fills up the blanks is given by: Option C: 36°, 72°, 10, 5

A decagon is a regular polygon with 10 sides.

As shown in the diagram attached below, the angle between two line segments connecting center and two adjacent vertex is of 36°.

Since rotating the decagon by that angle will land it in an unidentifiable way, as it looks alike, thus, rotating the decagon by a multiple of __36°__ carries the decagon onto itself.

Therefore, a rotation of _36 degree or 72 degree or any multiple of 36 degree__ counterclockwise will carry the decagon onto itself.

If we connect one vertex to opposite one, and flip it on that connecting line(this flip is called reflection), then the decagon will look same as before reflection.Thera are 5 such different lines.

Now in addition, we can connect lines from mid point of 1 side to other opposite side too. And this also can be done in 5 ways. On these connecting lines too, the decagon can be reflected onto itself.

Thus, we can reflect the decagon _5+5=10_ different ways. (these are the only ways, and it can be proven mathematically).

And including __5__ ways using the lines of symmetry that pass through the midpoints of two opposite sides

Thus, the correct option that fills up the blanks is given by: Option C: 36°, 72°, 10, 5

Learn more about reflection symmetry here:

https://brainly.com/question/7783612

Answer:

Step-by-step explanation:

The inequality Equation =

42 + 5x < 60

To stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Step-by-step explanation:

Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Let the number of gigabytes = x

Under $60 means less than $60

The inequality =

$42 + $5×x < $60

42 + 5x < 60

Solving for x

42 + 5x < 60

5x < 60 - 42

5x < 18

x < 18/5

x < 3.6 Giga bytes

Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Answer:

option first is the right answer

Answer:

2/3 of paint I believe because of the amount shown

Answer:

e. 55 miles hope that helped

Answer:

85 students

Step-by-step explanation:

Given

[tex]7th : 8th =2 : 3[/tex]

[tex]8th = 51[/tex]

Required

Find the total number of students

We have:

[tex]7th : 8th =2 : 3[/tex]

Substitute: [tex]8th = 51[/tex]

[tex]7th: 51 = 2 : 3[/tex]

Express as fraction

[tex]\frac{7th}{51} = \frac{2 }{ 3}[/tex]

Multiply both sides by 51

[tex]51 * \frac{7th}{51} = \frac{2 }{ 3} * 51[/tex]

[tex]7th= \frac{2 }{ 3} * 51[/tex]

[tex]7th= 2 *17[/tex]

[tex]7th= 34[/tex]

So, the total is:

[tex]Total = 7th + 8th[/tex]

[tex]Total = 34 + 51[/tex]

[tex]Total = 85[/tex]

Answer:

(-9,-1)

Step-by-step explanation:

You plug in the x and y values and solve the algebraic expression.

Answer:

60

Step-by-step explanation:

perimeter (p) = 8 + 17 + 15 = 40

semi-perimeter (s) = p/2 = 20

Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.

Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The two marked angles are a linear pair, so supplementary.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . subtract 24

  156/13 = x = 12 . . . . divide by 13

The smaller angle is ...

  3x +15 = 3(12) +15 = 51

The angle with the basement floor is 51°.

Answer:

A. 2,4,1,3

B. 2,1,3,4

C. 2,1,3,4

D. 1,2,4,3

Step-by-step explanation:

its always cell the simplest among the choices then tissue which is comprised of cells then organs which comprised of tissues and lastly the systems in our body that is comprised of organs

Answer:

$0.45x

Step-by-step explanation:

Fred earns dollars. Let Fred earns $x.

Chad earns 45% more than Fred.

We need to find the expression for Chad.

Chad amount = 45% of x

[tex]=\dfrac{45}{100}x\\\\=0.45x[/tex]

So, Chad earns $0.45x.

Answer:

Formula

Step-by-step explanation:

Answer:

formula because it gives you the number and tells you what to do.