Unit 8 right triangles and trigonometry homework 2

Answer:

Solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

Step-by-step explanation:

We are given formula: [tex]\frac{a^2-b^2}{2+d^3}[/tex]

and values a=6, b=4 and d=1/2

We need to put the values of a, b and d in the given equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] and find their result

Putting values in the equation:

[tex]\frac{a^2-b^2}{2+d^3}\\=\frac{(6)^2-(4)^2}{2+(\frac{1}{2})^3}\\=\frac{36-16}{2+\frac{1}{8}}\\=\frac{20}{\frac{2*8+1}{8}}\\=\frac{20}{\frac{17}{8}}\\=\frac{20*8}{17}\\=\frac{160}{17}[/tex]

So, solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

Answer:

The number of places correctly identified is 110 places

Step-by-step explanation:

The number of places he correctly identified will be;

11 + 4 + 86 + 9 = 110 places

By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5

so 4 will be 5

11 will be 10

86 will be 85

9 will be 10

Adding all of these together, we have

5 + 10 + 85 + 10 = 110

If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.

The function, f(x), models the total number of dolls in her collection after x number of years is,

f(x) =6+4x.

Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

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Answer:

1/1

Step-by-step explanation:

100/100=1/1=1

Answer:

Step-by-step explanation

1/10 would be the answer

As a fraction it would be 1/100 but simplified it will be 1/10

Answer:

Step-by-step explanation:

(17×25)×4=n×(25×4)

or 17×(25×4)=n×(25×4)  

17=n

∵ (a×b)×c=a×(b×c) [by associative law of multiplication.]

Answer:

r = 0

Step-by-step explanation:

-32r + 8 = -8r + 8

-32r + 8r = 8-8

-24r = 0

divide both sides by -24

then the answer will be -- r = 0

Answer:

0

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

42 dived by -7 is -6, D

Answer:

55 cm²

Step-by-step explanation:

Area of rectangle is 9 × 7 = 63 cm²

Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²

The area of shaded region is 63 - 8 = 55 cm²

Answer: X = 5

Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.

Answer:

Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Answer:

B.

Step-by-step explanation:

The midpoint is at y=1

Answer:

The answer is B

Step-by-step explanation:

All they did was switch the numbers and if you use distribution it will be equal.

Answer:

s : l = 24 : 35

Step-by-step explanation:

Let

Socks weight = s

Princess weight = p

Luna's weight = l

The ratio of Socks weight to princess weight is 4:5

s : p = 4 : 5

s / p = 4 / 5

The ratio of princesses weight to Luna's weight is 6 :7

p : l = 6 : 7

p / l = 6 / 7

What is the ratio of socks weight to Luna's weight

Multiply both given ratios

s / p * p / l = 4 / 5 * 6 / 7

p cancel out

s / l = 24 / 35

s : l = 24 : 35

Ratio of socks weight to Luna's weight is 24 : 35

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

The correct option is option C i.e., (1,3).

It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We have to check which ordered pair from given options is correct.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

A circle has the points ;

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We know that ;

A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.

Also ;

The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.

Now ; check for relation.

Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.

So;

The correct option is C.

Thus , the correct option is option C i.e., (1,3).

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Answer:

C (1, 3)

Step-by-step explanation:

edge 2023

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

Answer:

The equation -x + 6y = -7 does not represent direct variation.

Step-by-step explanation:

Let us solve the question

∵ The equation is -x + 6y = -7

→ Substitute x by 0 to find the value of y-intercept

∵ x = 0

∴ 0 + 6y = -7

∴ 6y = -7

- Divide both sides by 6 to find y

∴ y = [tex]-\frac{7}{6}[/tex]

∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )

∵ The y-intercept of the direct variation is (0, 0)

∴ The equation -x + 6y = -7 does not represent direct variation.

Answer:

Is that the whole question or....

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!

Answer:

15

Step-by-step explanation:

15^2=225

Answer:15

15^2=255 the other person was correct and i back that up

Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

Answer:

3 over 2 = 1.5

3 over 4 = 0.75

3 over 2 and 3 over 4 = 2.25

Step-by-step explanation:

Answer:

3 over 2 and 3 over 4

Step-by-step explanation:

that it

Answer:

98 grams

Step-by-step explanation:

The simplest way to think about this is that the half life has elapsed 3 times, so you need to take the initial mass and divide it by 2 3 times, so 784/2/2/2 or 784/8 which is 98