A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.



What is the surface area of the figure? Express the answer in terms of π.

96 + 64π cm2
96 + 80π cm2
96 + 112π cm2
96 + 128π cm2

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:

The first aid station is at the middle of the park.

Step-by-step explanation:

Given

[tex](0,0) \to[/tex] Origin of Fun

[tex](-7, 6) \to[/tex] Quadratics in Motion

[tex](-2, 14) \to[/tex]Towers of Trigonometry

[tex](5,8) \to[/tex] The Food Equation

[tex](-1,7)\to[/tex] First aid station

Solving (a): Plot the above points

See attachment for plot

Solving (b): Determine if the first aid station is at the center of the park

From the plot, we have the opposite points to be:

(1) [tex](0,0)[/tex] and  [tex](-2, 14)[/tex]

(2) [tex](5,8)[/tex]  and [tex](-7, 6)[/tex]

Calculate midpoint using:

[tex]M = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For (1):

[tex]M = \frac{1}{2}(0 -2, 0 + 14)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

For (2):

[tex]M = \frac{1}{2}(5 -7, 8 + 6)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

From the above computation, we have midpoint to be:

[tex]M = (-1,7)[/tex]

Given that:

[tex](-1,7)\to[/tex] First aid station

We can conclude that the first aid station is at the middle of the park.

Answer: [tex]84\ \text{units}[/tex]

Step-by-step explanation:

Given

The length of each cube is [tex]a=14\ \text{units}[/tex]

If there are 6 cubes placed over each other, then the height achieved by the cubes is

[tex]\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}[/tex]

Answer:

A B D

Step-by-step explanation:

those are the answers

But a closer look shows that B will be the best answer.

Answer:

Since all the rhombus is parallelogram

some are trapezoid and quadrilateral.

So

B.parallelogram is a answer:

it opposite side are equal.

diagonal bisect angle equally.

.

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:

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:

B. 6%

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Her 24 monthly payments total 24 x $56 = $1344

That means that $1344 - $1200 = $144 is just interest.  What percent is this of her loan amount?  Divide to find out:

144 / 2400 = 0.06 = 6%

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because the lines go in the order of the side than the angle and than the other side- and the lines also determine if the two sides are equal- i dont know if that makes sense

Ok, this is a bit tricky, it might be A or D.

A. Because 'you can go to the movies if you do your homeowork.)

B. Because it just flips things aroudn but it's still correct.

I would think the best choice would be A.

If this helps, please mark me Brainliest!

Have a fabulous day!

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:

Cos <B = 3/5

Step-by-step explanation:

Find the diagram attached

From the diagram, we have;

Hypotenuse BC = 80

Opposite to <B = AC =64

Adjacent AB = 48

According to SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos<B = AB/BC

Cos <B = 48/80

Express in its simplest form

Cos <B = (16*3)/(16*5)

Cos <B = 3/5

Hence the ratio of cos<B in its simplest form is 3/5

Answer:

62 ft is the answer

Step-by-step explanation:

I did the test

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:

Step-by-step explanation:

-12

Answer:

x = 8

Why?

Step-by-step explanation:

2(8) - 6 = 10

16 - 6 = 10

there you go :-)

HOPE IT HELPS

(FROM CROSS)

Answer:

5x=t

x=t/5

This should be your answer

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:

72°

Step-by-step explanation:

∠ AOB = 20% of 360° = 0.2 × 360° = 72°

arc AB is equal to the angle subtended at the centre , that is

arc AB = 72°

The question is incomplete. Please see the complete question below

The candy shop made 3 1/18 pounds of chocolate they sold 1 1/4pounds how many pounds of chocolate do they have left

Answer:

15/8

Step-by-step explanation:

The shop made 3 1/8 pound of chocolate

They sold 1 1/4 of chocolates

Hence the number of chocolates left can be calculated as follows

3 1/8-1 1/4

= 25/8-5/4

= 15/8

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:

=-4/5

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -2 -6)/(4 - -6)

   = (-2-6)/( 4+6)

   = -8/10

  =-4/5

Answer: For 7x-11 is There are no like terms.

I don’t know if you want me to solve because I did “Answer: There are no like terms.” or how you want it because the picture you show it confusing

For 4x-2 is Factor 4x−2

4x−2

=2(2x−1)

Answer:2(2x−1)

Step-by-step explanation: Hope this help :D

Answer:

1331 cubic inches

Step-by-step explanation:

volume = 11×11×11 = 1,331 in³

Answer:

2 1/3 hours or 2 hrs, 20 min

Step-by-step explanation:

1 5/6 + 1/2

make mixed number into improper fraction and change 1/2 to 3/6

11/6 + 3/6 = 25/6

14/6 equals 2 2/6 which simplifies to be 2 1/3 or 2 hrs, 20 min

Answer:

7.3

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:

201.06

Step-by-step explanation:

pi × 8²