If the radius of a circle equals 20 cm find its circumference correct to one decimal place

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

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Answer:

first one is 6.0 and the second is 130

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

The expression is not factorable with rational numbers.

10x2+11X−6

Step-by-step explanation:

PLS Brainliest

Based on the information given, the amount of money that Mary will spend more for the headband will be $1.

Since Julie spent $15 on 3 headbands, the amount per headband will be:

= $15/3 = $5

Since Mary spent $48 on 8 headbands, the amount per headband will be:

= $48/8 = $6

Therefore, we can then calculate the difference between the values that are gotten. This will be:

= $6 - $5 = $1

Therefore, the difference is $1.

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Answer:

Step-by-step explanation:

AT LEAST 9

Millie's account will be above $750 for weeks greater than 9.

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750.

Establishing an inequality,

750 > 1497 - 83x

Where, x is the number of weeks.

On solving, we get,

747 > 83x

x < 9

Hence, Millie's account will be above $750 for weeks greater than 9.

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Answer:

answer is 400060

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tysm

Answer:

4000,060

answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060

Answer:

1x

Step-by-step explanation:

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

Answer:

1/16

Step-by-step explanation:

3/4 ÷ 12

3/4 x 1/12

3/48 or 1/16

Hope this helps!

Answer:

1/16

Step-by-step explanation:

recipe uses 3/4 cup of sugar for one dozen cookies

3/4 cup ------ 12 cookies

x          -------  1 cookie

x * 12 = 3/4

x = 3/4 / 12

x = 3 / (4*12)

x = 1 / 4*4

x = 1/16

Answer:

A

Step-by-step explanation:

the ratio shows that for every two songs beth's mom has, beth has one more.

*3 is larger than 2 by 1

meaning, if her mom has 6 songs, then she will have 7

if Beth has 12 songs, her mom would have one less, 11

Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

A similar problem is given at https://brainly.com/question/25757416

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Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

m = (y2-y1)/(x2-x1)

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

Answer:

B

Step-by-step explanation:

In a function, every x-coordinate must be a different number.

If the same number appears more than once as an x-coordinate, it is not a function.

Answer: B

The rational form of a ratio is the ratio represented as a fraction (or quotient)

The rational form of the ratio a : b is a/b

The ratio is given as a : b (pronounced a ratio b)

This is properly represented as:

[tex]\mathbf{Ratio = a : b}[/tex]

To convert to rational form, means that we express the ratio as a fraction.

So, the ratio becomes

[tex]\mathbf{Ratio = \frac a b}[/tex] (pronounced a divided by b)

Hence, the rational form of the ratio a : b is a/b

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Answer:

13 AND 14

Step-by-step explanation:

THERE IS NO PICTURE OR ANY ANSWERS

If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.

Given the following data:

Conversion:

12 months = 1 year

18 months = 1.5 year

To calculate the principal amount if the interest rate is 12% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]

Principal amount, P = Php 131,111.11

Read more: https://brainly.com/question/22621039

Answer:

X= 6

Step-by-step explanation:

Answer:

X = 6

Step-by-step explanation:

(4/x - 3) + (2/x + 2) = 0

--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

4+x(−3)+2+x×2=0

--> Add 4 and 2 to get 6.

6+x(−3)+x×2=0

--> Combine x(−3) and x×2 to get −x.

6−x=0

--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.

−x=−6

--> Multiply both sides by −1.

Thus, the answer is X =6

Hope this helps you!

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Step-by-step explanation:

19x - 4 = 110 ( alternate Exterior angle )

→ 19x = 110 + 4 = 114

→ x = 114/19

→ x = 6

therefore, value of x is 6°.

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Answer:

1=137 2=43 3=137 4=43 5=137 6=43

Step-by-step explanation:

Step-by-step explanation:

the one is the middle top the one in the middle bottom and the one in the bottom right

Hiiiiiiiiiiiii

The value of x is 1 & y is 2 (a).

Steps are attached.

______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

70°

Step-by-step explanation:

Since  PTS shape is equal to QTR

and  PTQ shape is equal to STR

and Since QTP = 10

and Since  PTS = 60

Add both up 70

Therefore PQR = 70°

Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

Testing the hypothesis, it is found that:

At the null hypothesis, we test if the proportion of stocks that went up is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is significantly more than 0.3, that is:

[tex]H_1: p > 0.3[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.3, n = 69, \overline{p} = \frac{31}{69} = 0.4493[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4493 - 0.3}{\sqrt{\frac{0.3(0.7)}{69}}}[/tex]

[tex]z = 2.71[/tex]

The test statistic is 2.71.

The p-value is the probability of finding a sample proportion of 0.4493 or above, hence, it is 1 subtracted by the p-value of z = 2.71.

Looking at the z-table, z = 2.71 has a p-value of 0.9966.

1 - 0.9966 = 0.0034

The p-value is 0.0034.

Which is less than [tex]\alpha[/tex], and then the test statistic leads to a decision to reject the null hypothesis, and thus:

The sample data support the claim that the proportion of stocks that went up is more than 0.3.

A similar problem is given at https://brainly.com/question/25413788

Answer:

The length of side b is 80.

Answer:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Step-by-step explanation:

Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (-3, 1)

     (x₂, y₂) = (1, -2)

Substitute these points into the formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]

m = -¾

Therefore, the slope of the given line is -¾.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form,  f(x) = mx + b:

f(x) = mx + b

-2 = -¾( 1 ) + b

-2 = -¾ + b

Add ¾ to both sides to solve for b:

-2 + ¾ = -¾ + ¾ + b

[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]

Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Answer:

The right answer is 32

Step-by-step explanation:

3/4 × 32 = 24

Answer:

18

Step-by-step explanation:

divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18

Step-by-step explanation:

A.

The incorrect statement in Triangle A is B

It is not a equilateral triangle. It is a isosceles triangle

B.

The incorrect statement in Triangle B is C

The missing angle is not 158. It is 68

C.

The incorrect statement in Triangle C is C

The missing angle is not 72 it is 36