if r 1 and 0 = 7pi/6 what is the approximate arc length

Answer:

3/5

Step-by-step explanation:

both 6 and 10 divide by 2. divide each number by 2 and you get 3/5

Answer:

3/5

Step-by-step explanation:

To find the simplest form of 6/10, you must reduce the fraction.

I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).

Hope this helps :)

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

Answer:

f(3)= 12

Step-by-step explanation:

if f(1)= 4 then f(3)= 12

Answer:

1 : 8

Step-by-step explanation:

Given the height of 2 similar cylinders = a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8

Answer:

See solutions below

Step-by-step explanation:

2) angle at the vertex is half that of its intercepted arc;

51 = 1/2(14x-38)

51*2 = 14x-38

102 = 14x-38

14x = 102 + 38

14x = 140

x = 140/10

x = 14

3) 9x+7 = 1/2(68)

9x + 7 = 34

9x = 34-7

9x = 27

x = 27/9

x = 3

4) 114 = 1/2(30-(8x-36+40))

114 = 1/2(360-8x+36-40)

114*2 = 356 - 8x

-8x = 228-356

-8x = -128

x = 128/8

x = 16

Answer:2

Step-by-step explanation:

51+14x-38=180

13+14x=180

14=167

X=12

Step-by-step explanation:

A. x^2-9x+18

B. x^2-8x+16

C. 2x^2-5x-12

D. 12x^2-31x+7

Answer:

y ≥ 18

All numbers greater than or equal to 18

Step-by-step explanation:

y  – 6≥ 12

Add 6 to both sides

y ≥ 18

All numbers greater than or equal to 18

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

The system of equations that represents the number of each type of basket Jake scored is given by:

x + y = 13

2x + 3y = 28

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:

2x + 3y = 28.

He scored a total of 13 baskets, hence:

x + y = 13.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?

Step-by-step explanation:

Answer:

6x+12=T

Step-by-step explanation:

Amy bakes x cakes.

Barry bakes 4x.

Ceri bakes x+12

So the total is 6x+12=T

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-1, 0) & (5, 0)

Y-intercept: (0, -5)

Vertex: (2, -9)

Axis of Symmetry: x = 2

Answer:

40 degrees

Step-by-step explanation:

sum of angles in a triangle = 180 degrees

if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85

marked interior angle = 180 - (85 + 55) = 40 degrees

Answer:

As ewomazinoade states 40° should be the correct answer.

Answer:

88 square inches

Step-by-step explanation:

A circular plate has circumference 33.3 inches.

Step 1

We find the radius

The formula to find the radius go a circle given circumference is

= C /2π

r = 33.3/2 × 3.14

r = 5.3025477707 inches

Approximately to the nearest thousandth = 5.303 inches

Step 2

What is the area of this plate? Use 3.14 for Pi.

The area of a circle = πr²

Where

π = 3.14

r = 5.3025477707 inches

Hence

Area of the circle = 3.14 × (5.303inches)²

= 88.30248026 square inches

Approximately to the nearest whole number the area of the circle = 88 square inches

The area of this plate is about 88 square inches.

Answer:

y=6x+24

Step-by-step explanation:

The probability that the arrow will land on 1 or 2 is 2/5.

Probability is the ratio of occurring a certain event out of the total possible events.

If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.

From the given data

Total no. of regions in the circle is 5

The probability that the arrow will land on 1 or 2 is

P(1) = 1/5

P(2) = 1/5

∴ P(1) or P(2) is

= 1/5 + 1/5

= 2/5

Here we have used addition because of OR statement.

Learn more about Probability :

https://brainly.com/question/11234923

#SPJ1

Answer:

B. 64 square inches

Step-by-step explanation:

you just add

Answer:

Step-by-step explanation:

4

Answer:

The total area is 594cm.²

Step-by-step explanation:

The top and bottom each have a length of 36 cm.

Blue side:

36/3= 12cm. (36/3 for the length of one side of a blue square)

12*12= 144cm.² (area of one blue square)

144*3= 432cm.² (area of all the blue squares)

Orange side:

36/8= 4.5cm. (the length of one side of an orange square)

4.5*4.5= 20.25cm.² (the area of one orange square)

20.25*8= 162cm.² (the area of all the orange squares)

Total area:

432+162= 594 cm.²

I hope this makes more sense, have a great day :D

Answer:

7.3

Step-by-step explanation:

Answer:

1. Three fourths

2. 3/4

3. 0.75

4. 75%

Step-by-step explanation:

i dont know which one you want

Answer:

.75

Step-by-step explanation:

3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75

Answer:

Step-by-step explanation:

Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!

Answer:

He has to pay 15% as that is 32 and more than $25

Step-by-step explanation:

If you take 15% out of 216 it will become 32.

Answer:

72

Step-by-step explanation:

Answer:

[tex]-\frac{3p^8}{4q^3}[/tex]

Step-by-step explanation:

[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex]  can be broken down into three fractions, coefficients, powers of p, powers of q.

[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]

Answer:

[tex]transformation: (y,-x)[/tex]

----------------------------

hope it helps...

have a great day!!

Answer:

$96

Step-by-step explanation

area of sail = ½×8×12= 48 sq ft

the cost of new sail = 48 × $2

= $96

Answer:

201.06

Step-by-step explanation:

pi × 8²