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Answer:

x+x+10=90 being Right angle triangle.

2x=90-10

2x=80

x =40

then x+10= 40 + 10

= 50

Answer:

118

Step-by-step explanation:

Answer: 118

Step-by-step explanation:

4(5)^2+3(6)

4(25)+3(6)

100+3(6)

100+18

118

Answer:

40 degrees clockwise.

Step-by-step explanation:

If we rotate 150 degrees counterclockwise by 60 degrees , we would end up at 210 so

210-170=40 degrees

It would be clockwise.

Answer:

A, D, C, B

Step-by-step explanation:

A = 3/4 + 5/4 = 8/4 = 4

B = 7/4 + 5/2

= LCM of 4 and 2 = 8

= 14/8 + 20/8 = 34/8 =17/4

C = 4/3 + 5/3 = 9/3 = 3

D = 11/3 - 4/3 = 7/3

A=4, B=17/4, C=3, D=7/3

LCM of  4 and 3 is = 12

= 16/12, 51/12, 36/12, 28/12

Sorry if I am wrong :)

Answer:

A=4, B=17/4, C=3, D=7/3

Step-by-step explanation:

Answer:

The difference between a flawed and non-flawed survey question is usually bias; you don't want the question to seem like it's leading the reader to any one answer, it should be worded neutrally. The best method to find non-biased samples is to select your samples randomly.

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:

0,2

Step-by-step explanation:

because because it crosses the x-axis line only one time

A) [tex]$x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$[/tex]

B) [tex]$y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$[/tex]

c) [tex]$y-z=(\sqrt{3}-1)-\sqrt{3} i$[/tex]

are the value of given algebraic expression.

The numbers which can be expressed in the form of [tex]$x+iy[/tex] where, [tex]$x, y$[/tex] are real numbers and 'i' is an imaginary number called "iota".

here [tex]$\mathrm{i}$[/tex] is iota whose value is: [tex]$\mathrm{i}=\sqrt{-1}[/tex]

Given .

[tex]$$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$[/tex]

upon solving two complex number we solve coefficient of iota together and real number together.

A) to find [tex]$(x+y)$[/tex]

[tex]$$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}[/tex]

B) [tex]$\mathbf{y}+\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}[/tex]

c) [tex]$\mathbf{y}-\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}[/tex]

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Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the left (I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all [tex]x \le -1[/tex].

Answer:

on edg3

Step-by-step explanation:

Answer:

0.02083333333

The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.

A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

Rank of Alex is 43rd

Total Entrants is 200

Percentile = Rank of Alex X 100 / Total Entrants

                 = 43 X 100 / 200

                 = 21.5 percentile

Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.

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Answer:

Step-by-step explanation:

E

Answer:

1.010101e+42

Step-by-step explanation:

Answer:

1010101010101010010101001010100101100101050

Step-by-step explanation:

1010101010101010010101001010100101100101010+40=1010101010101010010101001010100101100101050

Answer: No. This equation can't be solved by factoring

Answer:

c = 10.6

Step-by-step explanation:

c² = a² + b²

c² = 7² + 8²

c² = 49 + 64

c² = 113

Take the square root of both sides

c = 10.6301458127

Rounded

c = 10.6

[tex]\dfrac{s}{4} +5=13[/tex]

Simplify:

[tex]\dfrac{1}{4} s+5=13[/tex]

Subtract 5 from both sides:

[tex]\dfrac{1}{4} s+5-5=13-5[/tex]

[tex]\dfrac{1}{4} s=8[/tex]

Multiply both sides by 4:

[tex]4\times(\dfrac{1}{4} s)=4\times(8)[/tex]

[tex]\fbox{s = 32}[/tex]

s = 32.

[tex]\frac{s}{4} +5=13[/tex]

[tex]\frac{s}{4} +5-5=13-5\\ \\\frac{s}{4} =8[/tex]

[tex]\frac{s}{4}*4 =8*4\\ \\s=32[/tex]

If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "s" by it's calculated value, 32.

[tex]\frac{(32)}{4} +5=13\\ \\8+5=13\\ \\13=13[/tex]

As you can tell, the same number appears on both sides of the equal symbol, this means that the result is correct!

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Answer:

option 4 (D)

Step-by-step explanation:

Answer:

The slope of a line that is parallel to the graph of the function below is 1/4x

Step-by-step explanation:

The only way you can have a line that stays parallel to another is if they have the same slope, and the slope of them both is 1/4x

9514 1404 393

Answer:

  Translation

Step-by-step explanation:

When constant values are added to x and/or y, the result is translation.

After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given that ,

7/ 8  * 14  / (3/8 * 6 ) + 2  1/5

= (7/8 * 14 )/ ((18 / 8) + 11/5)

= (98/ 8 ) / (90 + 88) / 40

= (98/ 8 ) /  (178/ 40)

= (98 * 40) / (8* 78)

= 245/89

Hence the final value could be 245/53.

7/ 8  + (6*7/8 - 4 * 3/16 ) / (3/4 )

(7/8 + (21/4 - 3/4 ) )  / (3/4)

(7/8 + 18/4)  / (3/4)

(43/8) / (3/4)

43/6

Hence the final value could be 43/6.

3  1/7  * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)

11/7 * (10/6 - 5/18) / (17/7)

(11/7 )* (27/ 18) /( 17/7)

(11* 27/18 )/ (17)

33/34.

Hence the final value could be 33/34.

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Answer:

Download Photo math for help, it works really well and it shows the work.

Answer:y=(x+3)2−17

Step-by-step explanation: 3,11 5,15

Answer:3x=4.99

Step-by-step explanation: 14.97/3= 4.99

Answer:

[tex]38 \div5 \\ [/tex]

When Malia joined a gym 14 weeks after Jane did, the value of b was 5.

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them.

A car's fuel capacity and efficiency, as well as how far it can go on a single charge of its electric battery, are important considerations. A nonproportional connection can be used to describe this.

a + b = 14

9 + b = 14

b = 14-9 = 5

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