Answer:
See Explanation
Step-by-step explanation:
a) Additive inverse of −2
- the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
- So the Additive inverse of -2 is 2. ∴ -2+2=0
b) Additive identity of −5
- Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
- -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.
c) additive inverse of 3
- Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.
d). multiplicative identity of 19
- an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
- Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.
e) multiplicative inverse of 7
- Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.
d) | 11-5|×|1-5|
- | 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24
Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (
) is described by the following expression:
(1)
Where:
- Input.
- Output.
If we know that 
, 
and 
, then the constants of proportionalities of each ordered pair are, respectively:
Since 
, the constant of proportionality is 3.5.
9514 1404 393
Answer:
- no parts have the same color (0)
- yellow, blue, red
- percentages can be written in several forms: fraction, decimal, for example. The sectors can also be identified by their angle measures.
- see attached
Step-by-step explanation:
1. The seven different sectors have seven different colors. No parts have the same color.
2. The attached table lists the sectors in decreasing order of size. The largest three are yellow, blue, red.
3. Percentages can be written a number of ways. They can be written as decimal numbers, or as fractions. In a pie chart, the sectors can also be given an angle measure.
4. Fraction equivalents of the percentages are shown in the attached.
5. Reduce fraction equivalents of the percentages are shown in the attached.
Answer:
34.78 feet
Step-by-step explanation:
1) using the cosine function, I did cos(43)=x/51
This is because cosine is equal to adjacent over hypotnuse
Once I found x, I used the pythagorean theorem to get 34.78 feet
