Answer:
Step-by-step explanation:
the missing degree is a multiple of 360, so 0.
graph is like squiggly touching -1 at pi and touching 1 at 2 pi and so forth
Answer:
4.7 feet³ of water
Step-by-step explanation:
Diameter of 4 feet
Radius = 2 feet
Height = 0.75 feet
Formula for Volume = 2·
·radius·height
But she only wants to fill half, so divide by 2, cancels the 2 in the formula for volume, giving us:
·radius·height
·2·0.75 = 4.71 feet³
Answer:
Graph 3 on Edg.
Step-by-step explanation:
Answer:
shown below
Step-by-step explanation:
1. The pair of angles shown in your diagram are vertical angles. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. The pairs of vertical angles have the exact same measurement. Therefore, 5x and 100 must have the same degree measurement, or 100 degrees. Thus, 5x must equal 100, so 5x = 100, and x would be 20 degrees.
2. The diagram shows a right angle (90 degrees) formed by 3x degrees and 39 degrees. 3x and 39 are complementary, which means they add up to 90, not 180 (that's supplementary). Thus, 3x + 39 = 90, 3x = 51, and x = 17 degrees.
3. The diagram shows a 180-degree angle formed by 6x degrees and 2x + 8 degrees. This means that 6x + (2x+8) equals 180. 6x + 2x + 8 = 180 and 8x + 8 = 180, 8x = 172, and x = 21.5 degrees.
4. A angle's supplement is basically 180 - (angle measure), because you are finding the angle that when formed with the original angle creates a 180 degree angle. Thus, the supplement angle would be 180 - 47 which is 133 degrees.
5. The angles 115 and (5x-10) create a 180 degree angle, which means that 115 + (5x-10) = 180. Thus, x = 15.
Answer:
68 chickens and 12 cows.
Step-by-step explanation:
Let x represents the number of chicken and y represents the number of cows in the barnyard,
Given,
Total heads = 80
⇒ x + y = 80 ------(1),
Also, total legs = 184,
Since, a chicken has two legs and cow has 4 legs,
⇒ 2x + 4y = 184 -----(2),
Equation (2) - 2 × equation (1),
We get,
4y - 2y = 184 - 160
2y = 24
y = 12
From equation (1),
x + 12 = 80 ⇒ x = 80 - 12 = 68
Hence, the number of chicken = 68,
And, the number of cows = 12