an angle measures 1.6° less than the measure of its complementary angle. what is the measure of each angle ?

Answer:

12.56cm

Step-by-step explanation:

4π cm

4 x 3.14

12.56cm

9514 1404 393

Answer:

  b = -8, 2.5

Step-by-step explanation:

The equation can be rewritten to standard form:

  2b² +11b -40 = 0

In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.

  -80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)

The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:

  2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found

  2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms

  (2b -5)(b +8) = 0 . . . . . . . . finish the factoring

Solutions are values of b that make these factors zero:

  2b -5 = 0  ⇒  b = 5/2

  b +8 = 0  ⇒  b = -8

Solution to the equation are b = -8 and b = 5/2.

Answer:

The first term of the sequence is:

Step-by-step explanation:

Given the sequence

aₙ = (-1)ⁿ · 3n²

substituting n = 1 to determine the first term

a₁ = (-1)¹ · 3(1)²

a₁ = (-1)¹ · 3(1)²

Applying the exponent rule: [tex]a^1=a[/tex]

a₁ = -1 · 3(1)

a₁ = -1 · 3

a₁ = -3

substituting n = 2 to determine the 2nd term

a₂ = (-1)² · 3(2)²

a₂ = 1 · 3(4)

a₂ = 12

substituting n = 3 to determine the 3rd term

a₃ = (-1)³ · 3(3)²

a₃ = -1 · 3(9)

a₃ = -1 · 27

a₃ = -27

substituting n = 4 to determine the 4th term

a₄ =  (-1)⁴ · 3(4)²

a₄ = 1 · 3(16)

a₄ = 1 · 48

a₄ = 48

Therefore, the first term of the sequence is:

Answer:

13 soda

Step-by-step explanation:

12+6=18

18-5=13

Answer:

[tex]r=0.77[/tex], [tex]\hat{y}=770.50+39.37x[/tex] and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is  [tex]\hat {y}=920.10[/tex]

Step-by-step explanation:

We attached a table below,

[tex](a)[/tex]  We attached a table below,

Therefore ,

correlation coefficient  [tex]r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 } }[/tex]

                                         [tex]=\frac{41.04}{53.19}[/tex]

                                         [tex]=0.77[/tex]

[tex](b)[/tex]    We calculate the least squares equation.

      [tex]b_1=r(\frac{\sigma_y}{\sigma_x} )\\ =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\ =0.77(\frac{52.15}{1.02} )\\ =0.77(51.13)\\ =39.37[/tex]

Now , calculate intercept coefficient.

[tex]b_0=\bar{y}-r\bar{x}\\[/tex]

    [tex]=(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50[/tex]

Therefore, the regression equation is, [tex]\hat{y}=770.50+39.37x[/tex]

[tex](c)[/tex]    Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8

[tex]\hat{y}=770.50+39.37x[/tex]

   [tex]=770.50+39.37(1.9)\\=770.50+74.80\\=920.10[/tex]

Answer:

The answer is D.

Step-by-step explanation:

My explanation is in the picture as u can see.

Answer:

z = 66

Step-by-step explanation:

QT is a midsegment. Thus, applying the midsegment theorem:

RS = 2(QT)

QT = z - 33,

RS = z

Plug in the values into the equation

z = 2(z - 33)

z = 2z - 66

Subtract 2z from each side

z - 2z = -66

-z = -66

Divide both sides by -1

z = 66

Answer:

9.38 inch

Step-by-step explanation:

[tex]length \: = width \: = \sqrt{area} = \sqrt{88} = 9.38 \: inch[/tex]

Answer:

9.38 inch

Step-by-step explanation:

Answer:

b

tep-by-step explanation:

The correct option is C) m = 0; b = 9. The slope and y-intercept of the linear equation y = 9 are m = 0; b = 9.

To explain step by step:

In summary, the slope of the linear equation y = 9 is 0, indicating a horizontal line, and the y-intercept is 9, representing the point where the line intersects the y-axis.

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Answer:

AD and BC

Step-by-step explanation:

Lines are infinite

Thank, 5 star, and brainliest if helpful!

Answer:

Step-by-step explanation:

(a+b)(a-b)=a^2-b^2

Answer:

11h +129

Step-by-step explanation:

8h + 129 + 3h = ?h + ?

11h +129

Answer:11h +129

Step-by-step explanation:You add like terms together which are 8 h and 3h which gives you 11 h.And you have 129 left so you add 11 h to 129 .So you get 11 h +129 as your equivalent expression to represent Bradens total earnings for this week.

Hope it helps and ur are welcome :)

Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

Answer:Yes

Step-by-step explanation:

1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

2) Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

For given question,

We have been given an inequality 25W + 40J < 120

W represent the number of liters of water and J represent the number of liters of juice.

Mwamini drinks water at a rate of 25 seconds per liter.

Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

If Mwamini drinks 2 liters of water and 1 liter of juice.

Here, W = 2 lit and J = 1 lit

So, ⇒ 25W + 40J

     = 25(2) + 40(1)

     = 50 + 40

     = 90

      < 120

This means, Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

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Answer:

The answer would be C.

Step-by-step explanation:

The formula for the area of a square is A=(3.14)r^2

Answer:

its A

Step-by-step explanation:

Answer: addition ??

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.

Therefore, it is addition

Hope this helps :)

6 in the number 6.45 is the ones digit.

6 in the number 62 is the tens digit.

Answer:

16

Step-by-step explanation:

Answer:

Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

let n(B)=students who have a brother

n(S)= students who have a sister

n(U)=n(B)+n(S)+n(BUS)'-n(BnS)

30=12+25+2-n(BnS)

30=39-n(BnS)

n(BnS)=39-30=9

So 9 students have a brother and a sister

Probability=9/30=3/10

The probability that a student who has a brother also has a sister will be 0.30.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings.

The number of students who have both brothers and sisters. Then we have

25 - x + 12 - x + x + 2 = 30

x = 25 + 12 + 2 - 30

x = 9

Then the probability that a student who has a brother also has a sister will be given as,

P = 9 / 30

P = 0.30

The probability that a student who has a brother also has a sister will be 0.30.

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One equation that does have an extraneous solution is:   [tex]x + 1[/tex] = [tex]\sqrt{7x+ 15}[/tex]

One equation that doesn't have an extraneous solution is: [tex]\sqrt{x}[/tex] = 4

Answer:

agreed withe one above

Step-by-step explanation:

Answer:

i know the answer but not the equation

Step-by-step explanation:

Answer:

Multiply both sides by [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{5}x = 10[/tex]

Required

Get an equivalent of [tex]x = 25[/tex]

To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]

[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]

[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]

[tex]x = 10 * \frac{5}{2}[/tex]

[tex]x =\frac{10*5}{2}[/tex]

[tex]x =\frac{50}{2}[/tex]

[tex]x = 25[/tex]

Answer:the answer is D

Step-by-step explanation:

I just took the test,its 8x^4.

The value of the function (f o f)(x) will be 4x⁴. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x)= 2x²

Then the value of the function (f o f)(x) will be

(f o f)(x) = f(x) · f(x)

(f o f)(x) = 2x² · 2x²

(f o f)(x) = 4x⁴

Then the correct option is C.

More about the function link is given below.

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Answer: 2808 ft.

Explanation: 78*36 is 2808

Answer:

6

Step-by-step explanation:

The find the slope of a line given any two points, we can use the slope formula given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can choose the two points (0, -1) and (1, 5) from the graph.

Let (0, -1) be (x₁, y₁) and let (1, 5) be (x₂, y₂). So:

[tex]\displaystyle m=\frac{(5)-(-1)}{(1)-0}=\frac{6}{1}=6[/tex]

Hence, the slope of the line is 6.

slope is the ratio of vertical increase to horizontal increase

Answer:

So.... you gave me the value of y in terms of x, twice...I am not sure what you want me to solve.

Answer:

[tex]6g -86h[/tex]

Step-by-step explanation:

[tex]10( 7g-9h) -4h - 8(-h + 8g)[/tex]

1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.  

[tex]10( 7g - 9h) -4h - 8(-h + 8g)\\70g - 90h-4h+8h-64g\\[/tex]

2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)

[tex]70g - 90h-4h+8h-64g\\\\70g-64g-90h-4h+8h\\6g-86h[/tex]

There are no more like terms to combine, so [tex]6g -86h[/tex] is the answer.

Answer: 9.22

Step-by-step explanation:

2^2 + 9^2 = C^2

4+81=C^2

85=C^2

(square root both sides)

C=9.219544

C=9.22