For any kite, we have two pairs of congruent adjacent sides. In general, the kite would have sides of x, x, y , y. In this case, x = 19 is known while y is unknown.
The four sides add up to 52, so
x+x+y+y = perimeter
19+19+y+y = 52
38+2y = 52
2y+38-38 = 52-38 .... subtract 38 from both sides
2y = 14
2y/2 = 14/2 ... divide both sides by 2
y = 7
Therefore the opposite side of the 19 meter side is 7 meters
<h3>Answer: B) 7 meters</h3>
Answer:
213 in base 4 = 124 in base 5
Step-by-step explanation:
First we convert base 4 to base 10
213 in base 4
2*42 + 1*41 + 3*40
32 + 4 + 3
39 in base 10
Now we convert base 10 to base 5
39/5
7/5 r = 4
1 r = 2
124 in base 5
Hence 213 in base 4 = 124 in base 5
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
Answer:
V=129659.9491≈129659.95
Step-by-step explanation:
