Find the measure of the central angle of the circle if the Area of the sector is 120 square cm. and the radius is 6 cm.

a . ) 135
b . ) 120
c . ) 105
d . ) 85

explanations would be super
appreciated too

Answer:

A

Step-by-step explanation:

You can look at the graph and infer that the line passes through 32 34 36 and so on

or

you can substitute y for the bill and x for the number of songs to see which graph is correct

y = 30 + 2x

For A, the line goes through 32 34 36 38 40 42 44 46 and 48

You can plug in 32 for y and 1 for x and so on

32 = 30 + 2*1 = 30 + 2

34 = 30 + 2*2 = 30 + 4

36 = 30 + 2*3 = 30 + 6

38 = 30 + 2* = 30 + 8

and so on

Answer:

A)

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

[tex]xy=6[/tex]

First, let's differentiate both sides of the equation with respect to t. So:

[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]

By the Product Rule and rewriting:

[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]

Therefore:

[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]

A)

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]

Therefore:

[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]

Solve for dy/dt:

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

[tex](1)y=6\Rightarrow y=6[/tex]

Therefore:

[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]

Solve for dx/dt:

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Answer:

hold on the answer in the picture

Step-by-step explanation:

sry for it being so blurry

Answer:

The answer is 12x¹⁰y⁴.

Hope this helped!!

Step-by-step explanation:

1. ( 4x⁷y² ) ( 3x³y²)

2.  4x⁷y² ₓ  3x³y²

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

Answer: 11 kg

Step-by-step explanation:

Given

Shelia buys 33 kg of rice and 9 kg of cornmeal

The amount of flour bought is one-third of the amount of rice bought

The amount of flour is

[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]

Answer:

6,600,000,000

Step-by-step explanation:

six billion 6 hundred million

Answer:

(x-7)(x-3)

Step-by-step explanation:

The factored form of f(x)=x^2-10x+21 is (x-7)(x-3). In order to find the factored form, you have to find what values add to -10, yet multiply to 21. So, the values that add to -10 and multiply to 21 are -7 and -3. x and x multiply to x^2.

In conclusion, the factored form of f(x)=x^2-10x+21 is (x-7)(x-3).

Answer:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

Answer:

The measure of a snart is 2 and that of a snert is 8.

Step-by-step explanation:

Represent the size of a snert by e and that of a snart by a.

Then e - a = 6.  This assumes that e > a.

2e + a = 18.  Substitute e - 6 for a, obtaining:

2e + (e - 6) = 18.

Simplifying, we get

2e + e - 6 = 18, or

3e = 24, and so

e = 8

Remembering that e - a = 6, we have 8 - a = 6.  Then a must be 2.

The measure of a snart is 2 and that of a snert is 8.

It is a

Scalene and Right angle

Answer:

32°

Step-by-step explanation:

Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°

147° + ∠2 = 180°

∠2 = 180° - 147°                       [subtracting 147° from both sides]

∠2 = 33°

Since all internal angles of a triangle add up to 180°,

∠1 + ∠2 + 115° = 180°

∠1 + 33° + 115° = 180°

∠1 + 148° = 180°

∠1 = 180° - 148°                       [subtracting 148 from both sides]

∠1 = 32°

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

X=20

Step-by-step explanation:

3x=2x+20

X=20

Answer:

five-number summary

Step-by-step explanation:

i  think the numbers are the same

Answer:

i think the answer is 354,900.

Step-by-step explanation:

Answer:

12 people can fit so the van had enough sests

Answer:

Look at the image I included

Answer:

The foot of the ladder is 10 feet away from the base of the wall.

Step-by-step explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

The foot of the ladder is 10 feet away from the base of the wall. [Ans]

answer: The foot of the ladder is 10 feet away from the base of the wall.

The foot of the ladder is 10 feet away from the base of the wall.

explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

Answer:

A,C, and E

Step-by-step explanation:

a. 8x - 6x - 3 - 2

=2x-1 YES

b. 9 -7x + 3x -8

=9-8-7x+3x NO

c. x + x - 1

2x-1 YES

d. 3x + 2 -x - 2

=3x-x+2-2

2x+0 NO

e. -5 + 10x - 8x + 4

=10x-8x-5+4

=2x-1 YES

Hope it helps!

Answer:

[tex]5x - 4 = 4 + 4x \\ 5x - 4x = 4 + 4 \\ x = 8[/tex]

Answer:

x<8

Step-by-step explanation:

5x-4<4(1+x)

= 5x-4<4+4x

= 5x-4-4x<4

=5x-4x<4+4

= x<4+4

= x < 8

first distribute the 4 into the parenthesis on the right side of the expression. next collect like terms, so move the x's to the left side and the two fours to the other side. simplify both sides to find the answer.

i hope this helps :)

Answer:

P=n*s

Step-by-step explanation:

n is the number of sides and s is the length of any one side.

Answer:

It depends on the polygon.

Perimeter is the distance around a figure, so the formula changes for what type of polygon it is. For example, a square would be 4l or the length of one side times 4.

To find the perimeter for any polygon, regular or irregular, use the distance formula for each side. Then add all values together.

The distance formula is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where [tex](x,y)[/tex] is one edge and [tex](x_2 , y_2)[/tex] is another edge, both belonging to the same side. This formula calculates the unit length of a side of your choice. For irregular figures, you have to use this formula for every side. For regular figures, just multiply the distance by how many sides there are.

Distance calculator for 2d grid: https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php

Distance formula explanation: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/distance-formula#:~:text=Learn%20how%20to%20find%20the,distance%20between%20any%20two%20points.

Answer:

a cylinder, a sphere, and that little half sphere thing, oh and a triangular pyramid

Step-by-step explanation:

Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

Answer:

yan lang po hindi ko alam

Step-by-step explanation:

sorry po hindi ko alam ehh

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation: