Rotate point P counterclockwise about the origin by the given angle. State the coordinates of P'.
P(4,2); 90°

The final statement that proves that “The acute angles of a right triangle are complementary” is when the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 35 degrees and 55 degrees are complementary angles.

Statements:

QED

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The probability of getting both the card with same color is 0.245

Total No. of cards in a deck = 52

The cards having the same color (either black or red ) = 26 out of 52

                      which is 26/52

The probability of finding a card having the same color without a replacement

                        P = 26/52 x 25/51

[∵ After taking one card, the total no . of cards will be 51 and the card having the same color is 25]

                           = 1/2 x 25/51

                           = 0.5 x 0.49

                        P = 0.245098

Therefore, the probability that both cards are the same color is 0.245098

We need to round off it to three decimals, Thus

The probability that both cards are the same color is 0.245

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Answer:  8

Step-by-step explanation:

5-1

3 out of 4 = 1/4

a) The problem is in the second step, the square root can't be distributed under sum.

b) 10*√41

a) The incorrect step is the second one, the square root can't be distributed like that.

Here we have the numeric expression:

5*√164

And we want to simplify it.

We can write:

5 = √25

Then:

5*√164 = √25*√164 = √(164*25) = √4,010

Now we can decompose this as a product of square numbers:

4,010 = 4*1,025 = 4*25*41

Then we rewrite:

√4,010 = √4*√25*√41 = 2*5*√41 = 10*√41

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Answer: about 2.2 times 8^8

Step-by-step explanation:

Pay the money x=y^2

Answer:

False.

Step-by-step explanation:

That answer would be true if, it was 54 ÷ 9 = 6

54 ÷ 0.9 = 60.

Hope this helps!

Answer:

False

Step-by-step explanation:

hope it helps and have a nice day! :)

[tex]s=(\frac{1}{2} p)(l)[/tex]

Flip equation:

[tex]\frac{1}{2} lp=s[/tex]

Divide both sides by p/2:

[tex]\frac{1/2lp}{p/2} =\frac{s}{p/2}[/tex]

[tex]l=\frac{2s}{p}[/tex]

1. The value of t in the triangle is 50°

2. The value of x in the triangle is 107°

It should be noted that the total sum of the angles that are in a triangle is 180°.

Therefore, the calculation of the angles will be illustrated thus:

1. 2t + 12 + t + 18 = 180°

3t + 30 = 180°

Collect like terms

3t = 180° - 30°

3t = 150°

Divide through by 3

3t/3 = 150° / 3

t = 50°

2. x + 30° + 43° = 180°

x + 73° = 180°

Collect like terms

x = 180° - 73°

x = 107°

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Answer:

71

Step-by-step explanation:

Mean is Average

You can Find the Mean of a set of numbers by adding them all up and then dividing that number by the amount of numbers in the set.

72 + 75 + 68 + 84 = 231

231 / 4 = 57.75

This is his current mean.

Let's add his next score.

72 + 75 + 68 + 84 + 71 = 370
Divide by 5 instead of 4 because we added another number to the data set.

370 / 5 = 74

Answer:

Lowest to highest

7/10 ,  11/15,   4/5

Step-by-step explanation:

Probably the easiest way to do this is to convert each of the fractions to decimals which will clearly indicate which is the highest and which the lowest etc.

4/5 = 0.80

11/15 = 0.73

7/10 = 0.7

0.7 is less than 0.73 is less than 0.80
So 7/10, 11/15, 4/5

However, I am assuming they want you to work with fractions

To compare fractions you have to get all the denominators equal and then compare the numerator

To get a common denominator find the Least Common Multiple of the denominators. This is the lowest number that can be divided by all three denominators

Looking at 5, 15 and 10 we can see that 30 is divisible by each denominator. So that becomes our common denominator

Now multiply each fraction denominator by a factor to make the denominator equal to the common denominator. At the same time multiply the numerator by the same factor

4/5 = (4 x 6) / (5 x 6) = 24/30    Highest

11/15 = (11 x 2) / (15 x 2) = 22/30

7/10 = (7 x 3) / (10 x 3) = 21/30      Lowest

Looking at the numerator alone we can see that 7/10 is the lowest, 11/15 is next lowest and 4/5 the highest

Answer:

y+1 = 5(x+2)

Step-by-step explanation:

Slope = 5 = (y - -1) /(x - -2)

So 5 = (y+1)/(x+2)

Meaning y+1 = 5(x+2)

Answer:x - 4

Step-by-step explanation:6x + 6 - 5x - 10 = x-4

Answer:

i made the link for the website i used so u can use in in simlar situations

Step-by-step explanation:

Solve for

y

.

y

=

6

√

tan

(

7

x

)

−

2

y

=

−

6

√

tan

(

7

x

)

−

2

its math w     a     yyyy .com

The number of trees that would be saved from a stack of newspapers 24 feet high given the by ratio of trees saved from a stack of recyclable newspaper is 8 trees

Convert feet to inches

Quantity of recyclable newspaper needed : number of trees

36 : 1 = 288 : x

36/1 = 288/x

36 × x = 1 × 288

36x = 288

x = 288 / 36

x = 8 trees

In conclusion, the trees that would be saved from a stack of newspapers 24 feet high is 8 trees

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7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.

1)

Closure property of multiplication:

It states that if  two real numbers a and b are multiplied, then the product will be a real number as well.

We have 7 × 12 = 72

7, 12 and 72 all are real numbers.

So, it is a closure property under multiplication.

2)

Sum = - 38

a = - 22

We need to find b

a + b = - 38

- 22 + b = - 38

b = - 38 + 22

b = - 16

3)

1 correct answer = 4 marks

1 incorrect answer = - 2 marks

Number of correct answers = 32

Number of incorrect answers = 8

Total score = 32 × 4 + (- 2) × 8

= 128 - 16

= 112 marks.

Therefore, we get that, 7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.

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well, from the picture, the cylinder has a diameter of 12, thus a radius of 6 and a height of 40, so

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=40 \end{cases}\implies SA=2\pi (6)(40+6) \\\\\\ SA=12\pi (46)\implies\implies SA=552\pi[/tex]

Answer:

b(-2)=19

b(0)=18

b(5)=15.5

Step-by-step explanation:

You substitute all x values with the number stated in each question.

Example= b(-2) --> 18-0.5(-2)

Answer:

Clearly, the given sequence is an AP with first term a=2, common difference d=5 and n=10.

Now,

s10 = 10/2 (2a + 10-1d)
=5(2x2+9x5)

=245

Step-by-step explanation:

Answer:

S₁₀ = 245

Step-by-step explanation:

the sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 2 and d = a₂ - a₁ = 7 - 2 = 5 , then

S₁₀ = [tex]\frac{10}{2}[/tex] [ (2 × 2) + (9 × 5) ]

      = 5(4 + 45)

      = 5 × 49

      = 245

Answer: 1+1=21

Step-by-step explanation:

It's just facts >:)

Answer:2

Step-by-step explanation:

Answer:

d =5.59

Step-by-step explanation:

Solve the equation.

–2d = –11.18

Divide each side by -2

–2d/-2 = –11.18/-2

d =5.59

<HMN, <HMK, <KMN

using the graph

Answer:

are u 6 it's 30 fruit snacks

Step-by-step explanation:

120÷4(she has more friends then u lol)=30

Answer:

25g

Step-by-step explanation:

If one ball + 100g = 5 balls, then 100g = 4 balls

100/4 = 25

By solving using given linear equation f(x)=x2-7 and g(x) = 2x + 9 we get  the desired value as ( g - f )(-2) = 32 .

An equation is deemed to be linear when the maximum power of the variable is consistently 1. It is also known as a one-degree equation. A linear equation with one variable usually has the form Ax + B = 0. In this scenario, the variables x and A are variables, whereas B is a constant.

A linear equation in two variables is of the form Ax + By + C = 0, in which A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1.

For example, 7x + 9y + 4 = 0 is a linear equation in two variables. If we consider two such linear equations, they are called simultaneous linear equations.

Simplification:

f(x)  = x2 - 7

g(x) = 2x + 9

( g - f )(-2) = (2x-7-2x -9)(-2)

                = -16 * -2

                = 32 .

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Answer:

B

Step-by-step explanation:

Answer:

g(-9)+h(-9)=59

the answer is B

Answer: -6 degrees

Step-by-step explanation: First take -18 then subtract by 3, add 7, add 11, subtract 5, and finally add 2. All of those numbers come from the problem stated.

The numeric value of the expression 16 + 4(3q + p) when q = 6 and p = 2 is given by: 96.

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value. This also works for multi-variable functions or expressions, as each instance of each variable will be replaced by their attributed values.

For this problem, the expression is given by:

16 + 4(3q + p)

The attributed values are given by:

q = 6, p = 2.

Hence the numeric value of the expression is found as follows:

16 + 4(3 x 6 + 2) = 16 + 4(18 + 2) = 16 + 4 x 20 = 16 + 80 = 96.

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