Answer:
-5
Step-by-step explanation:
count down to the lowest point
Answer:
10
Step-by-step explanation:
Consider the triangle consisting of the segment from the center of the sphere to the center of the circle, a radius of the circle, and the radius of the sphere to the other end of the radius of the circle. The given leg dimensions of that right triangle are 6 and 8, so the Pythagorean theorem tells you the hypotenuse (radius of the sphere) is ...
√(6²+8²) = √(36+64) = √100 = 10
The radius of the sphere is 10 units.
_____
You may recognize this as a 3-4-5 right triangle scaled by a factor of 2.
Answer:
D: 8
Step-by-step explanation:
7 + (2 + 6) ^2 ÷ 4 ⋅ (1/2)^4
According to PEMDAS
We to parentheses first
7 + (8)^ 2 ÷ 4 ⋅ (1/2)^4
Then we do exponents
7 + 64 ÷ 4 ⋅ (1/16)
The multiply and divide from left to right
7+64 ÷ 4 ⋅ (1/16)
7+16 ⋅ (1/16)
Then add and subtract from left to right
7+1
8
Answer:
£1.80/kg
Step-by-step explanation:
The total spent on apples and pears is £12.70, and this is the sum of the costs of the apples and the pears respectively:
£12.70 = (unit cost of apples)(2 kg) + (unit cost of pears)(7 kg), or
£12.70 = (unit cost of apples)(2 kg) + (£1.30/kg)(7 kg).
Solving for (unit cost of apples)(2 kg), we get £12.70 - (£1.30/kg)(7 kg), or:
(unit cost of apples)(2 kg) = £12.70 - £9.1 = £3.60
Solving for (unit cost of apples), we divide both sides by (2 kg), obtaining:
£3.60
(unit cost of apples) = ---------- = £1.80/kg
2 kg