Whats the total volume of the cylinder

A store is having a sale on trail mix and jelly beans. For 6 pounds of trail mix and 5 pounds of jelly beans, the total cost is

-Dominant- [34]

6t + 5j= 34
2t + 3j = 16

12t + 10 j = 68
12t + 18j = 96
-8j = -28
j = 3.5

jelly beans= 3.5 and trail mix = 2.75

8 0

3 years ago

amy is going to put 6 triangular tables together to make one large hexagon shaped table. what will be the area of the hexagon ta

tresset_1 [31]

Answer:

The area of the hexagonal table will be 27 square feet

Step-by-step explanation:

Given:

The height of the triangle = 3 feet

The base of the triangle = 3 feet

To Find:

The area of the hexagonal table = "

Solution:

Step 1: Finding the area of the triangle

The area of the triangle = $\frac{1}{2} \times base \times height$

On substituting the values

The area of the triangle is = $\frac{1}{2} \times 3 \times 3$

The area of the triangle = $\frac{9}{2}$ square feet

Step 2 : Finding the area of the hexagonal table

The area of the hexagonal table is = 6 X area of one triangle

The area of the hexagonal table = $6 \times \frac{9}{2}$

The area of the hexagonal table = $\frac{54}{2}$

The area of the hexagonal table = 27 square feet

3 0

3 years ago

Read 2 more answers

How do you do these two questions?

nignag [31]

Step-by-step explanation:

(a) ∫₋ₒₒ°° f(x) dx

We can split this into three integrals:

= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx

Since the function is even (symmetrical about the y-axis), we can further simplify this as:

= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx

The first integral is finite, so it converges.

For the second integral, we can use comparison test.

g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.

We can show that g(x) converges:

∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).

Therefore, the smaller function f(x) also converges.

(b) The width of the intervals is:

Δx = (3 − -3) / 6 = 1

Evaluating the function at the beginning and end of each interval:

f(-3) = e^(-9/2)

f(-2) = e^(-2)

f(-1) = e^(-1/2)

f(0) = 1

f(1) = e^(-1/2)

f(2) = e^(-2)

f(3) = e^(-9/2)

Apply Simpson's rule:

S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]

S ≈ 2.5103

5 0

3 years ago

What 2 numbets add up to get 10 and multiply to get -39

kenny6666 [7]

13 and -3

13+-3=10
13x-3=-39

3 0

3 years ago

Could someone Please Help me with this?!?!?!?!

Akimi4 [234]

Answer:

-3

Step-by-step explanation:

To find slope use the equation $y2 - y1 / x2 - x1$

1. Pick any two coordinate pairs to use in the equation. I'll choose (-2, 7) and (-1, 4).

2. Plug these coordinates into the formula. 4 - 7 / -1 - - 2

3. Solve! -3/ 1 = -3

4. The slope of this line is -3

4 0

3 years ago