b) 105^2 as a product of its prime factors.

Answer:

∠p, ∠q, and ∠r are all 40°

Step-by-step explanation:

ARQ is a triangle so the sum of the interior angles must equal 180°

48 + 52 = 100

180 - 100 = 80°

This means that the last angle, 2p = 80°

If 2p = 80, then ∠p = 40° (divide by 2)

PQR is also a triangle which means PR is a straight line

The angle next to 2p is going to be 100, because 2p was 80 and angles on a straight line add to 180° (180 - 80 = 100)

∠r = ∠p because they are alternate angles (in the sideways Z shape), 40°

∠q can be found by doing:

180 - (∠PAQ + ∠r)

= 180 - (100 + 40)

= 180 - 140

= 40

Answer:

f(x) = 7/6

Step-by-step explanation:

First off, hello! This is my explanation to the provided answer,

You can use the slope formula, (or simply graph the points), y2 - y2 / x2 - x1.

This would give you: 1 - 8 / -2 - 4, meaning that you would get the answer: 7/6 as the slope.

Hope this helps, if you have any more questions please ask.

Answer:

y = 5x + 8

m = 5

Step-by-step explanation:

ok so perpendicular means negative reciprocal of the slope so the original slope of the line is -1/5x so the negative reciprocal is 5 (5/1 and the negative undos the negative so it's positive) so now we will use the point (-2, -2) and plug that into the slope intercept form (y = mx+b)

so -2 = 5(-2) + b

5 • -2 = -10 and u add that to the other side so b = 8 so the answer is y = 5x + 8! hope this helps!

Answer:

[tex]a^{2} -1[/tex]

Step-by-step explanation:

The LCD, or the lowest common denominator would be [tex]a^2-1[/tex]

If we multiply the second term [tex]\frac{1}{a+1}[/tex] by [tex]\frac{a-1}{a-1}[/tex] ([tex]\frac{a-1}{a-1}[/tex] is equivalent to 1, so we can do this,) we can see that the denominator would become the same as the first term [tex]\frac{1}{a^2-1}[/tex] by difference of squares. So that creates an LCD of [tex]a^2-1[/tex]

Answer:

see the person above

Step-by-step explanation:

Answer:

1.98 × 10^5

Step-by-step explanation:

May be wrong though

Answer:

y= 0.75x+1

Step-by-step explanation:

This is because there is already 1 in of water in the pool and the water level is increasing at a constant rate of 0.75 in per minute.

Hope this helps! :)

Answer: this person is right its y=0.75x+1

Step-by-step explanation: took test

Answer:

1 remainder 24

Step-by-step explanation:

$474

..................

Answer:

y = -5/7(x) - 3/7

Step-by-step explanation:

1. We're already given the value of m in y = mx + b: -5/7. So, our equation looks like this so far: y = -5/7(x) + b.

2. To solve for b, the y-intercept, we use this formula: [tex]b = y_1 - m * x_1[/tex]

3. Now that we know the values of m and b, the equation looks like this: [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].

Therefore, the answer is [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].

Answer:

Step-by-step explanation:

Answer:

68.50 in

Step-by-step explanation:

first we are given the width and the length for the rectangle and so we know that 4 × 5x + 7 = 128

so we would now solve for x:

4 × 5x + 7 = 128

= 4 × 5x = 121

= 20x = 121

= x = 6.05

now we can plug in 6.05 for x and find the perimeter:

5(6.05) + 4 = 34.25

5(6.05) + 4 = 34.25

34.25 + 34.25 = 68.50

Answer:

= − 2/3

Step-by-step explanation:

Distribute

3x(2x - 3)-6x² =6

6x² -9x-6x² =6

Combine like terms

6x² -9x-6x²=6

-9x=6

Divide both sides of the equation by the same term

-9x=6

-9x/-9=6/-9

Simplify

x=-2/3

Solution

x=-2/3

Answer:

Step-by-step explanation:

3 x (2x - 3) -6x² = 6

6 x^-9x-6x^=6

Combine like terms

6x^-9x-6x^=6

-9x=6

Divide both sides of the equation by the same term

− 9 = 6

-9x = 6

-9     -9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=  −2

      3

HOPE IT IS HELPFUL

MARK ME AS BRAINLIEST

Answer:

Slope = 0

Step-by-step explanation:

Equation: y = 5

Since the graph would show a horizontal line (passing through 5) the slope would be zero

Answer:

The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y = 0.

Step-by-step explanation:

Step-by-step explanation: I added all of them and Friday was the biggest number with 16.15

Answer:

18h - 3hk

Step-by-step explanation:

2h(6 - k)

= 2h(6) + 2h(-k)

= 12h + -2hk

= 12h - 2hk

Hope this helps!

Answer

If Christina's age is = x

Aaron's age is = x + 6

Jeo's age = 3(x + 6 )

So, the sum of their ages can be write as,

[tex]x + x + 6 + 3(x + 6) \\ x + x + 6 + 3x + 18 \\ 5x + 24[/tex]

Also, they have given that the sum of their ages is 149

Therefore we can write a equation as,

[tex]5x + 24 = 149[/tex]

Now let's solve this and find the age of Christina

[tex]5x + 24 = 149 \\ 5x = 149 - 24 \\ 5x =12 5 \\ \frac{5x}{5} = \frac{125}{5} \\ x = 25[/tex]

Aaron's age is

[tex] x+ 6 \\ 25 + 6 \\ = 31[/tex]

Joe's age is

[tex]3(x + 6) \\ 3(25 + 6) \\ 3 \times 31 \\ = 93[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

13571 total

13600 to nearest hundred

Step-by-step explanation:

7+3 = 10 = distribution total

9500 / 7 =  1357.14286 one part

1357.14286 x 3 = 4071.42858  = 4071 males

1357.14286 x 10 = 13571.42 is the same as

9500 + 4071 = 13571 total

= 13600 to nearest hundred

Solution :

Tan 25° =  C4/BC

=> 0.466 = CF/60

=> C4 = 27.96

A4² = AC²  + C4²

AC² = 60² + 40² = 5200

CF² = 781.76

4F² =  5200 +  781.76

=> AF² =5981.76

=> A4 = 77.3

length A4  = 77.3  cm

Answer: S

Step-by-step explanation: flip the triangle and you'll see the answer.

Answer:

A = S square (s^2)

we know that A = 1296 square inches, then,

[tex]\sqrt{1296} = \sqrt{s^{2}} \\[/tex]      we square both sides and cancel out the square on the right                side. We get:

36 = s

The length of the sign is 36 inches.

Step-by-step explanation:

Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!

Step-by-step explanation:

- factorise using AC method

AC= 3 x 2 = 6

find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)

- put them as x in the equation to replace 5x

3x^2 + 2x + 3x + 2

- split the equation in half and expand each side

3x^2+2x | 3x+2

x(3x+2)+1(3x+2)

- put the numbers outside the brackets into a separate bracket

= (x+1)(3x+2)

Answer:

Step-by-step explanation:

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

The area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of the angle of the sector and the radius of the circle. It can be given as,

[tex]A_s=\dfrac{r^2\theta}{2}[/tex]

Here, (r) is the radius of the circle and θ is the angle of the sector. Multiply with π/180 to convert it into the degrees.

[tex]A_s=\dfrac{r^2\theta}{2}\left(\dfrac{\pi}{180}\right)\\A_s={\pi r^2}\left(\dfrac{\theta}{360}\right)[/tex]

Thus, the option D is correct. Now, πr² is the area of circle . Thus,

[tex]\rm \text{Area of sector}=\dfrac{(Area\; of \;Circle)(Arc\; Measure)}{360^o}\\\rm \dfrac{(Area\; of \;Sector)}{(Arc\; Measure)}=\dfrac{\text{Area of sector}}{360^o}[/tex]

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

Learn more about the area of a circular sector here;

https://brainly.com/question/10585749

#SPJ2

Answer:

6104 people.

Step-by-step explanation:

1.25 means it will multiply by 1 and a fourth

2500*1.25 =3125 the first month

3125*1.25=3906.25 the second.

3906.25*1.25=4882.8125 the third

4882.8125*1.25=6103.515625

round that up and you have 6104 people.

Answer:

Step-by-step explanation:

Given:

Population is:

Correct choice is A