Answer:
11/15
there ya go!!
Step-by-step explanation:
The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle = 
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle =
square feet.
The surface area for all the similar triangles =
square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square =
square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area =
square feet which is the third option.
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Arc length = Ф/360 * 2πr
= 30/360 * 2*3.14*10
= 1/12 * 62.8
= 5.23
In short, Your Answer would be 5.23 cm
Hope this helps!