It is also a parallelogram, since it has<span> two pairs of parallel </span>sides<span>. A square </span>has<span> two pairs of parallel </span>sides<span>, </span>four right angles<span>, and all </span>four sides are equal<span>. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with </span><span>four equal sides. Hope it helps! (:</span>
Answer:
20. 300π m³
21. 457 1/3 π cm³
Step-by-step explanation:
20. r = 10 ÷ 2 = 5
V = 5² × 12 × π = 25 × 12π=300π m³
21. r = 14 ÷ 2 = 7
V = \frac{4}{3} \pi 7x^{3}
V = 457 1/3 π cm³
Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
Answer:
Step-by-step explanation:
A.) As the number of hours spent on homework increases, the test scores received also most likely will increase.
B.) If someone does 2 hours of homework, you just sub in 2 for x, so you should get the equation y=8(2)+40, or a score of 56.
C.) The 40 is the y intercept, which means that the student is guaranteed to get at least a 40 on a test even if they study for 0 hours.
Hope this helps :)
Answer:
Option A.
Step-by-step explanation:
Definition of Boyle's law: a law stating that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature. There is thus a relationship between volume and pressure of the gas thus option B and C are incorrect.