What is the area of the circle?

Answer:

11 gallons of gas is needed to travel 231 miles.

Step-by-step explanation:

We can set up a proportion for this problem.

For every 62 miles, you use 3 gallons of gas.

[tex]\frac{62}{3}*\frac{231}{?}[/tex]

Now, let's cross multiply.

[tex]\frac{693}{62}[/tex] ≈ [tex]11[/tex]

So, you will need about 11 gallons of gas to travel 231 miles.

Answer:

We have, volume of cone:

V = (1/3) x base area x height

  = (1/3) x pi x radius^2 x height

  = (1/3) x pi x 2^2 x 4

  = 16.76 (mi3)

Option D is correct

Hope this helps!

:)

Answer:

16.76

Step-by-step explanation:

Volume= πr^2  h/3

so its  π (2)^2  4/3

which equals 16.76 mi^3

Answer:

2/5

Step-by-step explanation:

Answer:

Option 1 - add the 12 to both sides.

Step-by-step explanation:

If you meant solve for the variable, y, then you should:

Option 1 - add the 12 to both sides.

y - 12 = 23

Isolate the variable, y. Add 12 to both sides:

y - 12 (+12) = 23 (+12)

y = 23 + 12

Simplify:

y = 23 + 12

y = 35

~

Answer:

Option D is correct.

Step-by-step explanation:

As commutative principle 2x7x6 = 7x2x6

Hope this helps!

:)

The required form of the given expression is obtained as 7 × 2 × 6. The correct option is (D).

The commutative property for multiplication states that the order of multiplication is not a necessary condition to change the product,

For example the products obtained from both the expressions 2 × 3 and 3 × 2 are the same.

The given expression is 2 × 7 × 6.

As per the commutative property the order of multiplication does not change the product.

Thus, the given expression can be written as,

7 × 2 × 6

Hence, the given expression can be rewritten as  7 × 2 × 6.

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Answer:

  x = 2√3 ≈ 3.464

Step-by-step explanation:

The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...

  Tan = Opposite/Adjacent

Filling in values, we have ...

  tan(30°) = x/6

Multiplying by 6 gives ...

  x = 6tan(30°) = 6(√3/3)

  x = 2√3 ≈ 3.464

Answer:

A) (-2,2) lies on both lines

Step-by-step explanation:

Your answer would be the first option, (-2, 2).

We can solve this system of equations by adding them together, as the +x and -x will cancel:

3y + x = 4

+2y - x = 6

5y = 10

y = 2

Now we can find the x value by substituting the y value into one of the equations:

3(2) + x = 4

6 + x = 4

x = -2

Therefore your answer is (-2, 2). We know that it is the first option and not the last option because the point (-2, 2) does lie on both lines as it satisfies both equations when substituted in.

I hope this helps!

Answer:

(4) (M∠1 + m∠2) = 180 and (m∠3 + m∠4 + m∠2) = 180

Step-by-step explanation:

The correct equation which represent Mya's claim must be true is,

⇒ m ∠1 + m ∠2 = 180°

And, m ∠3 + m ∠4 + m ∠2 = 180°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degree.

Given that;

Mya claims that,

⇒ m ∠3 + m ∠4 = m ∠1

We know that;

Sum of all interior angles in triangle are 180 degree.

And, Sum of opposite angles of a triangle is equal to its exterior angle.

Hence, We get;

The correct equation which represent Mya's claim must be true is,

⇒ m ∠1 + m ∠2 = 180°

And, m ∠3 + m ∠4 + m ∠2 = 180°

Learn more about the triangle visit;

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Answer:

16 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

leg of triangle=  height of ladder = 15 feet

The hypotenuse of the formed triangle  = length of ladder = L

base = 6 feet

What is length of ladder?

L^2 = 15^2 + 6^2 = 225 + 36 = 261

L = root(261)  = 16.155 feet

Answer:

The P(yellow) = 11/15

Step-by-step explanation:

Here, we have;

P(not yellow) = 4/15

Mathematically, the addition of the probability of an event and its complement adds up to be 1

The complement we have here is P(yellow)

Thus, mathematically we have;

P(not yellow) + P(yellow) = 1

P(yellow) = 1 - P(not yellow)

From the question P(not yellow) = 4/15

Plugging this value, we have;

P(yellow) = 1 - 4/15 = 11/15

Answer:

C. 11/15

Step-by-step explanation:

hope this helped!

Answer:

can u retake the photo

Step-by-step explanation:

Answer:

5 1/24

Step-by-step explanation:

first you turn the mixed fraction to improper fraction

1 5/6=11/6

2 3/4= 11/4

11/6 times 11/4 = 121/24

121 divided by 24= 5 1/24

Answer is 5 1/24. You have to keep, change, flip

-Dhruva;)

Answer:

Examples are: (-1,1), (-2,1), and (-3,1).

Step-by-step explanation:

The second quadrant on a coordinate plane is located in the top left.

Answer:

[tex] \frac{35}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2}{ - 5} \times \frac{3}{ - 7} \\ = \frac{6}{35} [/tex]

[tex] \frac{6}{35} = = > \frac{35}{6} [/tex]

Answer:

b =7

Step-by-step explanation:

8b+15=71

Subtract 15 from each side

8b+15-15 =71-15

8b = 56

Divide each side by 8

8b/8 = 56/8

b = 7

Answer:

I believe b equals 7.

Step-by-step explanation:

8b +15= 71

-15. -15

8b = 56

56/8

7

b=7

To solve the quadratic equation x² + 10x = 18 by completing the square, we rearrange the equation, complete the square, solve for x by taking the square root of both sides, and then isolate x. The two solutions are x = -5 + √43 and x = -5 - √43, which can be approximated if necessary.

To solve the equation x² + 10x = 18 by completing the square, we first need to move all terms to one side to get the equation in the form of ax² + bx + c = 0.

Subtracting 18 from both sides, we have x² + 10x - 18 = 0.

To complete the square, we take the coefficient of x, which is 10, divide it by 2 to get 5, and then square it to get 25. We add 25 to both sides of the equation and then subtract it right back to maintain the balance:

x² + 10x + 25 - 25 - 18 = 0

Now we group the perfect square trinomial and simplify:

(x + 5)² - 43 = 0

Next, we add 43 to both sides:

(x + 5)² = 43

Then we take the square root of both sides:

(x + 5) = √43

Subtract 5 from both sides to solve for x:

x = -5 ± √43

The solutions are x = -5 + √43 and x = -5 - √43.

Answer:

3/4

Step-by-step explanation:

Answer:

3/4s

Step-by-step explanation:

1 1/2 is equal to 6/4 or 1 and 2/4 so divided by 2 equals 3/4

Step-by-step explanation:

3. The prisms are congruent, so they have the same base, height, and volume.

Volume of a prism is:

V = Ah

Plugging in values and solving for A:

90 in³ = A (15 in)

A = 6 in²

4. The cylinders are congruent, so they have the same radius, height, and volume.

Volume of a cylinder is:

V = πr²h

Plugging in values and solving for h:

176π cm³ = π (4 cm)² h

h = 11 cm

Answer:

Even + Even = even

odd + odd = even

Odd + even = odd

even + odd = odd

Rule of thumb in addition.

Answer is B

Step-by-step explanation:

Final answer:

The sum of 12+12 is an even number because both addends are even numbers, and adding two even numbers always results in an even sum.

Explanation:

The question you're asking is about why the sum of 12+12 is an even number. To answer this, we need to understand a property of even numbers. An even number is any integer that can be divided by 2 without leaving a remainder. Adding two even numbers together will always result in another even number because the sum of two multiples of any number is a multiple of that number. Since 12 is an even number (it can be divided by 2 to get 6), adding it to itself (another even number) must result in an even sum.

It's not correct to say that any number plus 12 is even (Option A) because if you add 12 to an odd number, the result is odd. Option B is the closest to a correct explanation because both addends are equal and are even numbers. Saying any number greater than 12 is even (Option C) is incorrect because odd numbers also exist above 12. Finally, 12+12 is not equal to an odd number (Option D), so that choice is incorrect as well.

Answer:

yes

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

5rtb rsgfttbh

Answer: 1.94

Step-by-step explanation:

Answer:

1.94

Step-by-step explanation:

trust me

Answer:

A

Step-by-step explanation:

Answer:

59.85714285714286‬ miles a day ≈ 60 miles a day

Step-by-step explanation:

To find this, we'd have to make the weeks into days.

2 weeks * 7 days = 14 days

Now we need to divide the miles traveled by the days:

838/14=59.85714285714286‬ miles a day or about 60 miles per day

Answer:

~ 60 days

Step-by-step explanation:

We have 2 weeks. Since there are 7 days a week, 2 weeks is 14 days.

To find the number of miles walked per day, we need to divide the total number of miles by the total number of days:

838 / 14 ≈ 59.9 ≈ 60 days

Answer: yes

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

the number = x

2/3 of x =8

2x/3 = 8

2x= 24

x=12

Answer:

12

Step-by-step explanation:

8 is 1/3 of 24

so it's 2/3 of 12

Answer:

12 cartons

Step-by-step explanation:

500 millilitres is equal to 0.5 liters, so with this you can divide 6 L by 0.5 L to find that you need 12 cartons in total

Answer:

1

Step-by-step explanation:

Any number put to the 0 power is equal to 1.

Does that help?

Answer:     To approximate a number to the nearest tenth you have to look at the hundredths digit. If it is 5 or more you have to add 1 to the tenths digit, else if it is lower than 5 you leave the tenths digit unchanged.

Step-by-step explanation:

Answer:

34.3

Step-by-step explanation:

i used my brain