I need to know the area in square centimeters of sector ABC?

Answer:[tex]5x+3y+1=0[/tex]

Step-by-step explanation:

Given

The linear equation is [tex]5x+3y-9=0[/tex]

The other linear equation parallel to the given line can be represented by

[tex]5x+3y+c=0[/tex]

Here, c can take any value . for example c=1, line becomes

[tex]\Rightarrow 5x+3y+1=0[/tex]

Answer:

[tex]y = 2.5x + 75[/tex]

Step-by-step explanation:

Answer:

After the third bounce the ball reaches a height of less than 50cm.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:

[tex]A_n = A_0(r)^{n}[/tex]

In which [tex]A_0[/tex] is the first term and r is the common ratio.

A ball is dropped from a height of 5m.

This means that [tex]A_0 = 5[/tex]

After each bounce it rises to 35% of its previous height.

This means that [tex]r = 0.35[/tex]

Thus

[tex]A_n = A_0(r)^{n}[/tex]

[tex]A_n = 5(0.35)^{n}[/tex]

After how many bounces does the ball reach a Height of less than 50cm?

50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus

[tex]A_n = 5(0.35)^{n}[/tex]

[tex]0.5 = 5(0.35)^{n}[/tex]

[tex](0.35)^n = \frac{0.5}{5}[/tex]

[tex](0.35)^n = 0.1[/tex]

[tex]\log{(0.35)^n} = \log{0.1}[/tex]

[tex]n\log{0.35} = \log{0.1}[/tex]

[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]

[tex]n = 2.19[/tex]

Rounding up:

After the third bounce the ball reaches a height of less than 50cm.

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

Answer:

The slope is -2 and the y intercept is -3

Step-by-step explanation:

y = -2x -3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2 and the y intercept is -3

Answer:

I think it's 4in is my answer

Answer:

Step-by-step explanation:

The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is

- a - b - c

The answer is 3.2

Hope this answer is right!

Answer:

A=2πrh+2πr2

Step-by-step explanation:youre welcome

Step-by-step explanation:

πr^2+2πrh

(r= radius, h= height)

Answer:

[tex]\displaystyle y-5=-\frac{10}{9}(x+6)[/tex]

Or:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Thus, first, we need to find the slope. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}[/tex]

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:

[tex]\displaystyle y-(5)=-\frac{10}{9}(x-(-6))[/tex]

Or, fully simplified:

[tex]\displaystyle y-5=\frac{-10}{9}(x+6)[/tex]

Using the other point, we will acquire:

[tex]\displaystyle y-(-5)=-\frac{10}{9}(x-(3))[/tex]

Or, simplified:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]

Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

The answer to the given expression is:

H = 60(3/4)^x

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

Learn more about the Exponents at

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Answer:345678098321

Step-by-step explanation: I think so lol

Answer:

x+5x=180( adj.suppl.ls)

6x=180

6x÷6=180÷6

x=30

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

Answer:

mean will be find in that method

hence, correct option is B

Let us first find the hieght of the triangle:

= 16² = p² + 8²

= 256 = p² + 64

= 256 - 64 = p²

= √192 = p

= 13.85 = p

Area of equilateral trianglular prism:

= ⅓× l² × h

= ⅓ × 16² × 13.85

= 256 × 13.85 × ⅓

= 1181.86 cm³

= 1182 cm³ (approx)

Answer:

128 sq units :)

Step-by-step explanation:

hope this helps! have a great day :)

Answer:

steak, chicken, and hamburger are meats. 3 meats.

The French fries and mashed potatoes are potatoes. 2 Potatoes.

And Green beans and peas are green vegetables. 2 Vegetables.

I think we just do 3 x 2 x 2 = 12 Meals.

hope that helps bby<3

If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

21.7²=17²+13.5²

21.7²=289+182.25

21.7²=471.25

21.7=√471.25

21.7=21.7

22(to the nearest whole number)

Answer:  Yes, it is a right triangle

But only if you rounded everything to the nearest whole number.

Otherwise, it's a bit off (but fairly close).

==========================================================

Explanation:

If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.

We have

Which leads to

a^2+b^2 = c^2

(13.5)^2+(17)^2 = (21.7)^2

182.25 + 289 = 470.89

471.25 = 470.89

We don't get the same thing on both sides, so we don't have a right triangle.

However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.

So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.

In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.

Answer:

x = 18

Angle 4 = 31 degree

Angle 5 = 59 degree

Step-by-step explanation:

According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.

Angle 4 + angle 5 = 90 degree

Angle 4 = 2 x - 5

angle 5 = 4 x - 13

So, according to the question,

2 x - 5 + 4 x - 13 = 90

6 x - 18 = 90

6 x = 108

x = 18

So, angle 4 = 2 (18) - 5 = 31 degree

So, angle 5 = 4 (18) - 13 = 59 degree

Answer:

the last one bottom right

Step-by-step explanation:

well, did it in my head, but the idea is to calculate it out

(x-8)*(x-8)=50

is just

x²-16x+64=50

to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side

Answer:

The ratio is 5:3 because there are 5apples and 3 pears

Hope this help!!!

Have a nice day!!!

A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.

The volume of the cone is the product of one-third of the height, pie, and square of the radius.

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

A cone with a base circumference of 6 pi and a height equal to half the radius.

The circumference of the circular base = 2πr

                                                        6π  =  2πr

                                                          r = 3

The radius of the circular base of a cone is 3 unit.

A height equal to half the radius. Thus, the height is 1.5

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

                                         = 1/3 (3.14) (9)(1.5)

                                         =  42.39

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Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

Answer:

25

Step-by-step explanation:

Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.

Answer:

One kids ticket is $4.80 and one adult ticket is $9.60

Step-by-step explanation:

Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:

6k + 2a = 48

k = 1/2a

Solve by substitution by substituting the second equation into the first one:

6k + 2a = 48

6(1/2a) + 2a = 48

Simplify and solve for a:

3a + 2a = 48

5a = 48

a = 9.6

Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.

9.6/2

= 4.8

One kids ticket is $4.80 and one adult ticket is $9.60