Answer:
1,680
Step-by-step explanation:
We know a hummingbird beats its wings 420 times in 30 seconds. To find the unit rate, divide 420 by 30.
420/30
42/3
14 beats/second
Now we know a hummingbird beats its wings 14 times in 1 second. Two minutes equals 120 seconds. Multiply 14 by 120 to get the answer here.
14 * 120
(14 * 12) * 10
168 * 10
1,680 beats
Answer:
C. m∠1 = m∠4
Step-by-step explanation:
A. m∠2 + m∠4 = 180°
∠2 and ∠4 are vertically opp. angles which means m∠2 = m∠4.
Hence, it's a <u>false</u> statement.
B. m∠2 + m∠3 = 180°
∠2 and ∠3 are corresponding angles which means m∠2 = m∠3.
It's a <u>false</u> statement.
C. m∠1 = m∠4
∠1 and ∠4 are another pair of corresponding angles which clearly states that m∠1 = m∠4.
Therefore, it's a <u>true</u> statement.
D. m∠1 = 90°
As clearly visible in the diagram;
It's a <u>false</u> statement.
Answer:
Step-by-step explanation:
A) The side length is 5 units since 5*5*5 = 125. You can guess and check to see which value multiplies with itself three times to get 125. Or you can take the cube root of 125 to get 5. You can type in 125^(1/3) to indicate you want the cube root of 125
b) The volume is 64 cubic units. Multiply the side length 4 by itself three times: 4*4*4 = 64.
Answer:
(1-33/100)x and 0.67x
Step-by-step explanation:
33% is 33 out of 100, or 33/100. Since the new recipe has 33%, or 33/100, less sodium, this means we take x, the amount in the old soup, and subtract 33/100 from it:
1 - 33/100 would represent the percent of sodium remaining, and x is the original amount, giving us (1-33/100)x.
If we write this percent as a decimal, we get 0.33. Taking this away from 100%, which is written in decimal form as 1, we get
1 - 0.33 = 0.67
Now we multiply this by the original amount of sodium, x:
0.67x