Answer:
the area of a sector is 151.976 cm²....
Step-by-step explanation:
Area of sector(A)is given by:
A=πr².θ/360°
where,
r is the radius and θ is the angle in degree.
As per the statement:
A central angle of 4π/5 radians and a radius of 11 cm.
r=11cm
Use conversion:
1 radian=180/π
then:
4π/5 radians=180/π * 4π/5
=144°
θ=144°
Substitute these given values and use 3.14 for π we have;
A=3.14*(11)²*144/360
A=3.14(121)*144/360
A=379.94*0.4
A=151.976 cm²
Therefore the area of a sector is 151.976 cm²....
Turn both into improper fractions- there easier to work with that way
3 15/16 — 63/16
2 1/4 — 9/4
Then, set it up- you multiply by the reciprocal
63 Divided by 9
__. __
16. 4
Multiply by reciprocal (flipped-second fraction)
63. x. 4
16 9
Cross product- check to see if diagonally the numbers have similar factors- 63 and 9 have 9 in common, 16 and 4 have 4 in common
7. 1
4. 1
1 3/4
To find Emma's profit, you will calculate her cost for all the items and the amount of money she collected when she resold the items.
Subtract the two amounts to find her profit or how much money she made when she sold them.
Amount Emma paid: (2 x 35) + (3 x 75) + (5 x 4) = $315
Amount the items sold for: (2 x 65) + (3 x 136) + (5 x 15) = $613
$613 - $315 = $298
Emma made $298 in profit on her items.
Answer:
66.7%
Step-by-step explanation:
The number of seedlings planted is 6, while the number of seedlings that survived the winter is 4. Therefore the percentage of seedlings that survived can be gotten using the formula:
Percentage of seedlings survived = (survived seedlings / total seedlings planted) * 100%
Therefore substituting values gives:
Percentage of seedlings survived = (4 / 6) * 100% = 66.7%
Answer:
20
Step-by-step explanation:
Givens
Let child one = x
Let child two = y
Let child three = z
Equations
x^2 + y^2 + z^2 = 100
xy + xz + yz = 150
Solution
There's a trick here. The square of their weights added together is equal (with some modification) to the given conditions. Start by squaring (x+y+z).
(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2xz + 2yz
Take out 2 as a common factor from the last three terms.
(x + y + z)^2 = (x^2 + y^2 + z^2+ 2(xy + xz + yz) )
Substitute the given conditions into the equation. (x^2 + y^2 + z^2) = 100 and 2*(xy + xz + yz) = 2 * 150
(x + y + z)^2 = 100 + 2*150
(x + y + z)^2 = 100 + 300
(x + y + z)^2 = 400
Take the square root of both sides.
sqrt(x+y+z)^2 = sqrt(400)
x + y + z = 20
Note
This answer tells you nothing about the values of x y and z. On the other hand it does not ask for the values of x y and z.