Answer:
72
Step-by-step explanation: 8 times 9 equals 72.
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
x = 5, supplementary
Step-by-step explanation:
6x + 13 + 14x - 33 = 180
20x - 20 = 80
20x = 100
x = 5
Answer:
2(4x+1)
Step-by-step explanation:
We can factor out 2 in both parts to get that.
Answer:
Most of the money which can be invested at 6% is $6000
Step-by-step explanation:
Total amount of money = $8500
Let most of the money which is invested at 6% = x
So, most of the money which is invested at 7% = 8500 - x
Now, amount of interest which is guaranteed per year = $535
So, according to the given condition, We have :
6% of x + 7% of (8500 - x) = 535
⇒ 0.06·x + 0.07·(8500 - x) = 535
⇒ 0.06·x + 0.07 × 8500 - 0.07·x = 535
⇒ -0.01·x = -60
⇒ x = 6000
Hence, Most of the money which can be invested at 6% is $6000