answers for both boxes please ​

Answer:

[tex]Area = 339.29\ in^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the total surface area

From the attachment:

[tex]r = 3\ in[/tex] --- radius

[tex]h = 15\ in[/tex] --- height

The total surface area:

[tex]Area = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]Area = 2\pi * 3(3 + 15)[/tex]

[tex]Area = 2\pi * 3(18)[/tex]

Remove bracket

[tex]Area = 2\pi * 3 * 18[/tex]

[tex]Area = 2\pi * 54[/tex]

[tex]\pi = \frac{22}{7}[/tex]

So, we have:

[tex]Area = 2 * \frac{22}{7} * 54[/tex]

[tex]Area = \frac{2 * 22 * 54}{7}[/tex]

[tex]Area = \frac{2376}{7}[/tex]

[tex]Area = 339.42[/tex]

Hence, the closest is:

[tex]Area = 339.29\ in^2[/tex]

These relations all follow from the identity,

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get

sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)

We know sin(180°) = 0 and cos(180°) = -1, so we end up with

sin(160°) = sin(20°)

For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.

Answer:

Step-by-step explanation:

sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20

sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)

9514 1404 393

Answer:

Step-by-step explanation:

The higher-cost item is forks, so we can let x represent the number of those that are purchased. The total number purchased is 7, so the number of spoons purchased is (7-x).

The total cost is the sum of the costs for each of the items:

  6x +5(7-x) = 40

  x +35 = 40 . . . . . . simplify

  x = 5 . . . . . . . . . . . subtract 35; the number of forks

  7-x = 2 . . . . . . . . . the number of spoons

Daniel bought 5 forks and 2 spoons.

_____

Additional comment

Since $40 is not divisible by $6, we can guess that the number of forks Daniel bought will be a multiple of 5. That is, Daniel bought 0 or 5 forks. If he bought 0 forks, then he must have bought 40/5 = 8 spoons, so that is not a viable choice. The only number of forks that makes sense in this problem is 5 forks, so 2 spoons--numbers that total 7, as required.

Answer:

b

Step-by-step explanation:

5^2 + 8^2 = 12^2

25 + 64 = 144

89 does not equal 144

Answer:

0.02, 0.17, 0.2, 0.72, 2.27

Step-by-step explanation:

that's the answer!

Answer:

OD

Step-by-step explanation:

The zero x=8 will make the factor (x-8) = 0 and the zero x=3 will make the factor (x-3) = 0.

so it's (x-8) and (x-3)

Answer:

21 sections

Step-by-step explanation:

the wood is 21 feet long therefore there can be 21 sections of 1ft long wood

Answer:

...........................................................

Step-by-step explanation:

Answer:

I would go for the last one

RST reflection across the y-axis will make it 2 units above UVW and so you go down 2 units

Answer:

Red line is y=0.8x

Blue line is y=0.8x-3.2

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Answer:

x = - 2

Step-by-step explanation:

5x + 16 = - 3x ( add 3x to both sides )

8x + 16 = 0 ( subtract 16 from both sides )

8x = - 16 ( divide both sides by 8 )

x = - 2

Answer:

300

Step-by-step explanation:

100% of 150 is literally 150, add those together and you get 300.

Answer:

the answer is $300

Step-by-step explanation: when increasing by 100% it is the same as multiplying by 2

Answer:

The ladder is 10 ft long...

Answer:

(2,5)

Step-by-step explanation:

The intersection point of 3x+y=11 and y=x+3 is (2,5) on a graph.

Answer is

n=3.207534,−3.207534

Step-by-step explanation: looked it up lol.

Answer:

Rewrite the equation as

n6 =

33

2

.

n

6

=

33

2

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

n

=

±

6

√

33

2

Simplify the right side of the equation.

Tap for more steps...

n

=

±

3

√

33

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

n = 3√33,−3√33

The result can be shown in multiple forms.

Exact Form:

n = 3√33,−3√33

Decimal Form:

n = 3.20753432,−3.20753432

Step-by-step explanation:

Answer:

4y

Step-by-step explanation:

When you subtract an already negative number then the two "minus signs" will become one addition sign and it just becomes y + 3y which is 4y

(Just for example: x- (-8x) would turn into x + 8x and the answer would be 9x)

Answer:

[tex]f(-1)=0[/tex]

Step-by-step explanation:

[tex]f(a)=2a-2\\\\f(-1)=2(-1)-2\\\\f(-1)=-2+2\\\\f(-1)=0[/tex]

Answer:

No

Step-by-step explanation:

See take 0.2 for example

In fraction it is 2/100 which can be easily reduced and should be reduced depending on the type of question.

1/50 would be the answer for my example.

Answer:

6 it's the same as the one next to a and b that's also 6

Answer:

mAB = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Set up equation.

mAB + mBC = mAC

x + 4 + 4 = 3x + 2

Step 2: Solve for x

Step 3: Find AB

Answer:

-20

Step-by-step explanation:

Below means negative

Answer:

Step-by-step explanation:

what’s the answer?

Answer:

[tex]y= 4 + 3h[/tex]

Step-by-step explanation:

Step one:

Given data

We are given that the initial distance walked is  4 miles

Also, the rate/ speed with which you are currently walking is 3 miles per hour

let the time taken be hours

and let the total distance be y

Step two:

We want to write an expression for the total distance

The total distance is given as

[tex]y= 4 + 3h[/tex]

Answer:

2/3

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

jdjdjsnnxkdkcndjkx

Answer:

20 years

Step-by-step explanation:

Hope this helps!

Brainiest?

Answer:

0.67, 1.24, 12, 55, 100

Step-by-step explanation:

Answer:

DEW

Step-by-step explanation:

Answer:

Carmen needs more than 5 hours to meet her goal.

Step-by-step explanation:

to make a valid interpretation of Carmen's situation, solve the given inequality for t.

Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.

So, Carmen needs more than 5 hours to meet her goal.

Answer:

Um what is this

Step-by-step explanation: