What is the difference between the areas of a circular table with diameter 6 ft and a circular table with diameter 8 ft? Round your answer to the nearest square foot.

[tex]x = 34.2[/tex]

[tex] \sin(20) = \frac{x}{100} \\ 0.3 = \frac{x}{100 } \\x = 100 \times 0.3 = 34.2[/tex]

Answer:

[tex] \sqrt{ {( - 1 - 4)}^{2} + {(2 - ( - 3))}^{2} } = \sqrt{ {5}^{2} + {5}^{2} } = 5 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

[tex] - 1 \times ( - w) = - 8 \times 7[/tex]

[tex]1 \times w = - 8 \times 7[/tex]

[tex]w = - 8 \times 7[/tex]

[tex]w = - 56[/tex]

Answer:

4

Step-by-step explanation:

half gallon is 64 oz. 256 ÷ 64 is 4

Answer

4

Step-by-step explanation:

1 gallon = 128 fluid ounces

1/2 gallon = 64 fluid ounces

Use gallons to convert 256 fl oz then multiply result by 2

256 / 128 = 2

2 x 2 = 4

4 half gallon containers

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

60 inches

Step-by-step explanation:

Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches

Hope that helps! :)

-Aphrodite

Answer:

see below

Step-by-step explanation:

We want to solve each equation for y, so y must be alone on one side of the equation.

a) 10x + 5y = 20

Subtract 10x from both sides.

5y = 20 - 10x

Place the x term in front to follow  y = mx + b form.

5y = -10x + 20

We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide each component by 5.

5y/5 = -10/5x + 20/5

y = -2x + 4

This equation is in slope-intercept form.

b) 3x - 2y = 10 + 4x

We can see that y is negative in this original equation. Let's add 2y to both sides to make y positive.

3x = 10 + 4x + 2y

Now we want to isolate y, so subtract 4x from both sides.

3x - 4x = 10 + 2y

Simplify.

-x = 10 + 2y

Isolate y further by subtracting 10 from both sides.

-x - 10 = 2y

Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide each component by 2.

-x/2 - 10/2 = 2y/2

-1/2x - 5 = y

This looks backwards (although it is in slope-intercept form), so let's rearrange it just to make it more clear.

y = -1/2x - 5

This equation is in slope-intercept form.

Hope this helps!

12 (tell me if im wrong sorry if i am)

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

3/4 (or 0.75) plus (4 times 1 1/2) divided by 3. SO... 0.75+(4×1 1/2)÷3= 2.25

Answer:

C

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.

Answer:

5+4x=21

Step-by-step explanation:

Let's say the "number" is x.

"more than" indicates addition, and "times" indicates multiplication.

5+4x=21

Answer:

Ava drove 56 miles per hour (mph) Oscar drove 58 mph, Oscar drove 2 mph faster than Ava.

Step-by-step explanation:

Answer:

H²=a²+b²

H²=4²+7²

H= 8.06

Answer:G i think sorry if wrong

Step-by-step explanation:

Answer:G

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4x - 9

Step-by-step explanation:

4x - 9

Answer:87

Step-by-step explanation:added all numbers and divided by 3

Answer:

I believe the answer is the first option.

Step-by-step explanation:

To set off material for additional emphasis.

hope this helps and is right :)

Answer:

A

Step-by-step explanation:

The dash (–) is used to set off additional material within a sentence, often in order to emphasize it, to set off appositives that contain commas, or to indicate missing words. ... Some word-processing programs have a mark called an em-dash (longer than a hyphen), which can be used with no space before or after it.

Answer:

(-5, 7)

Step-by-step explanation:

Translate A left 6, and up 4

Answer:

Step-by-step explanation:

standard form is:

Ax+By=C

for problem 2:

y= 1/2 x-8

y- 1/2 x - 8= 0

rearrange:

- 1/2x + y +8 = 0

2 (- 1/2x + y + 8) = 0

-x + 2y + 16= 0

-x + 2y = -16

leading coefficient can't be negative

so multiply everything by -1

x -2y = 16

Answer:

1 yes   no

Step-by-step explanation:

1 this is in standard form as it is  a linear form and the intercepts can be found  

2 This is not  in standard form as it is a linear equation and both the x and y intercepts cant  be found  so must be written in the form AX+BY=C

so

-x + 2y = -6

and leading coefficient cant be - so multiply by -1

so

x-2y=6

Answer:

x=-4,3

Step-by-step explanation:

x+4=0

x=-4

x-3=0

x=3

Answer: 0

Step-by-step explanation: The answer is 0

Answer:

y=0

Step-by-step explanation:

Answer: she made $8.40

Step-by-step explanation: divide 42 by 5 to get your answer

Answer:

A - $8.40

Step-by-step explanation:

You would have to do 45÷5

Answer:

p=5

Step-by-step explanation:

a(x+y) is also (x+y)a

So if 3(n+5) has to be equivalent to (n+p)3, then p has to be 5.

---

hope it helps

Answer:

Aaron will have enough water for 3 hours. he should have 380 milliliters left.

Answer:

Solution given:

length[a]=3cm

base(b)=7cm

hypotenuse [c]=?

we have

by using Pythagoras law

a²+b²=c²

3²+7²=c²

c=√58=7.61m

the length of the hypotenuse is 7.61m.

Answer:

D. (-3/8) (-5/7) (-1/4)

Step-by-step explanation:

Hints:

- * - * + = +

+ * - * - = +

+ * + * + = +

- * - * - = -

A. (-3/8)(-5/7)(1/4)

= (-3*-5*1) / (8*7*4)

= 15/224

B. (3/8)(-5/7)(-1/4)

= (3*-5*-1) / (8*7*4)

= 15/224

C. (3/8)(5/7)(1/4)

= (3*5*1) / (8*7*4)

= 15/224

D. (-3/8) (-5/7) (-1/4)

= (- 3*-5*-1) / (8*7*4)

= (-15)/(224)

= -15/224

The correct option is

D. (-3/8) (-5/7) (-1/4)

Answer:

x = 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that the inside angles of a triangle add to 180

180 = 38 + x + x + 2

180 = 40 + 2x

140 = 2x

70 = x

Answer:

f

(

x

)

=

3

cos

(

2

x

)

+

2

EXPLANATION:

We are able to use the transformation formula

f

(

x

)

=

a

⋅

cos

(

x

−

h

b

)

+

k

. You start with

f

(

x

)

=

cos

(

x

)

and replace

a

with the desired amplitude,

h

with the desired horizontal shift, and

k

with the desired vertical shift. This leaves out the

b

-value. A regular cosine function has a period of

2

π

. If you want a period of

π

, since that is one half of the original period, you need to replace your

b

with a

1

2

.

This is about how it would work out.

f

(

x

)

=

3

⋅

cos

(

x

−

0

1

2

)

+

2

From there you simplify your equation giving you

f

(

x

)

=

3

cos

(

2

x

)

+

2

Answer:

f(x) = 3 cos 2x + 2

Step-by-step explanation:

got it right on the test.

Answer:

1. We would hear better at Dunkin's since its distance from the radio station is the shortest.

2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.

Step-by-step explanation:

1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.

We need to find the distance of each point from the tower.

The shorter the distance from the radio station the better the signal.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.

2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.

So, we calculate the distance of each point from the radio station.

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.

So, McDonald's is out of range of the radio station.