Work out the surface area of this solid prism

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

Step-by-step explanation:

this is how i solved it hopefully its correct

Answer:

-8 and 2

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

(6x - 10) and (3x + 50) are vertical angles and are congruent, then

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

1.5 pounds. it's simply 3/8 times 4

Answer:

1.5 pounds of chocolate

Step-by-step explanation:

A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.

In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.

[tex]4\cdot \frac{3}{8}[/tex]

[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]

[tex]\frac{3}{2}=1.5[/tex]

We need 1.5 pounds of  chocolate to make 4 batches of ice cream.

Good luck ^^

Answer:

The total distance traveled by the toy car is 14 m

Step-by-step explanation:

Given;

initial velocity of the car, u = 0

final velocity of the car, v = 4 m/s

time of motion, t₁ = 3 s

constant deceleration of the car, -a = 0.5 m/s²

time of motion, t₂ = 4 s

The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).

[tex]Total \ distance = Area = \frac{1}{2} |BC| \times H\\\\Total \ distance = \frac{1}{2} \times 4\times 7\\\\Total \ distance = 14 \ m[/tex]

Answer:

2/7

Step-by-step explanation:

Because there are a total of 7 keys and he has 2 for his car so 2/7.

:DDDDD

Answer:

the angle measures are 60 and 30

Answer:

Trapezoid

Step-by-step explanation:

Answer:

[tex]Y=\frac{c}{a}-\frac{b}{a}[/tex]

Step-by-step explanation:

Answer:

y=c+b/a (The a is under c+b)

Step-by-step explanation:

Add the b over to c.

ay=c+b

Now divide both sides by a, which will remove the a from y.

y=c+b/a

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8x+6=5x+30}[/tex]

[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]

[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]

[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]

[tex]\rightarrow\mathsf{3x +6=30}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{3x +6-6=30-6}[/tex]

[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]

[tex]\mathsf{30-6=\bf 24}[/tex]

[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]

[tex]\mathsf{3x = 24}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]

[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]

[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

40

Step-by-step explanation:

160/4=40

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

Answer:

D

Step-by-step explanation:

Answer:

RULES:

Half of your diameter is ALWAYS your radius.

15 divided by 2 = 7.5 cm

6.5 divided by 2 = 3.25 in.

3 divided by 2 = 1.5 ft

8 divided by 2 = 4 m

Answer:

110-degrees

Step-by-step explanation:

these are alternate exterior angles which are equal *congruent

Answer:

Since 110° and ? are alternate exterior angles, take the 110° and subtract 180°. Remember, 180° is a straight angle. So, 180°-110°= 70°.

The missing angle is 110°, I just solved for the remaining angle to help you figure it out more easily.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Write the number in exponential form with the base of 2:

[tex] {2}^{x - 3} = {2}^{ - 3} [/tex]

Since the bases are the same, set the exponents equals.

[tex]x - 3 = - 3[/tex]

Cancel equal terms on both sides of the equation:

[tex]x = 0[/tex]

[tex]2 {}^{x - 3} = \frac{1}{8} [/tex]

To Find value of 'x'

[tex]2 {}^{x - 3} = \frac{1}{8} \\ \\ \implies2 {}^{x - 3} = 2 {}^{ - 3} \\ \\ \\ Since \: Bases \: Are \\ Equal \: We \: Need \\ To \: Evaluate \\ The \: Powers \\ \\ \implies \: x - 3 = - 3 \\ \\ \implies x = - 3 + 3 \\ \\ \implies \: x = 0[/tex]

[tex] \fbox \red{Hope This Helps You ❤}[/tex]

Answer:Amount of white  paint used by Sarah =1.82 pints

Step-by-step explanation:

Amount of  blue paint and white paint to paint her bedroom walls.=9.1 pints

Amount of  blue paint used =4/5 x 9.1=7.28 pints

Amount of white  paint used=Amount of  blue paint and white paint to paint her bedroom walls -Amount of  blue paint used

=9.1-7.28=1.82 pints

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

[tex]n = 8[/tex] --- number of friends

[tex]r = 2[/tex] --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]

[tex]^8C_2 = \frac{8!}{6!2!}[/tex]

Expand

[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]

[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]

[tex]^8C_2 = 4 \times 7[/tex]

[tex]^8C_2 = 28[/tex]

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

Read more about combinations at:

https://brainly.com/question/8018593

Answer:

Step-by-step explanation:

Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides

The formula for the perimeter of a kite = 2(a + b)

Where a and b where the side length of the kite

Answer:

25 dollars/hour

Step-by-step explanation:

The rate of change is 25 dollars/hour

Answer:

jvjkcjkcjcljf

Step-by-step explanation:

5655+56835

Answer:

AD = 11 units

Step-by-step explanation:

d = √(-6+6)²+(5+6)²

d = √11²

d = 11

Answer:

2/3

Step-by-step explanation:

There are two 4s and two 1s on the spinner. There are a total of 6 spaces. Therefore, the probability of spinning a 4 or 1 is 4/6 percent. We can simplify 4/6 to 2/3. Therefore, the answer is 2/3

If this helps please mark as brainliest

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

Answer:

0.2

Step-by-step explanation:

Convert the walking to percent

[tex]\frac{1}{2} \times 100 = 50[/tex]

Add both skateboarding and walking

[tex]30\% + 50\%\\\\= 30 + 50\\\\= 80[/tex]

Now, subtract that from a whole percent

[tex]100 - 80 = 20\\\\20\%[/tex]

Convert it to a decimal

[tex]20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2[/tex]

Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.

Answer:

6 days

Step-by-step explanation:

The can relatively small... I would just say common sense.

hopefully this helps luv <3

Answer:

72 divided by 12 = 6 feet

Step-by-step explanation:

Since there are 12 inches in ONE FOOT you have to divide the total number of inches by the inches that are in a foot which is 12.