Answer:
4sqrt(3) inches
Step-by-step explanation:
The ratio of the lengths of the legs of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The long leg is sqrt(3) times the length of the short leg.
Here, the short leg measures 4 inches.
long leg = sqrt(3) * short leg
long leg = 4sqrt(3) inches
Answer:
Table 2
Step-by-step explanation:
We have the tables:
<u>Table 1:</u>
x: 1 2 3 4
y: 2 4 6 8
<u>Table 2:</u>
x: 1 2 3 4
y: 2 4 8 16
<u>Table 3:</u>
x: 1 2 3 4
y: 2 4 7 11
<u>Table 4:</u>
x: 1 2 3 4
y: 2 4 6 10
An exponential growth data set will show a common ratio between y values. Let's look at each of the ratios from each table.
<u>Table 1:</u>
8/6 = 4/3
6/4 = 3/2
Already, we can see that 4/3 ≠ 3/2, which means that this doesn't have a common ratio. So Table 1 is wrong.
<u>Table 2:</u>
16/8 = 2
8/4 = 2
4/2 = 2
The common ratio here is 2, so we know this is correct.
<u>Table 3:</u>
11/7 = 1.57
7/4 = 1.75
Again, we can see that 1/57 ≠ 1.75, so this is wrong.
<u>Table 4:</u>
10/6 = 1.67
6/4 = 1.5
Again, there is no common ratio here, so this is wrong.
The answer is thus Table 2.
Second Number 62.5
Remark
If all you want to know is the second number, you could employ a trick by calling the second number x. Then you just solve for x.
Givens
Sum of 6 even numbers = 393 This will not give a whole number result.
First number = x - 2
Second number = x
Third number = x + 2
Fourth number = x + 4
Fifth number = x + 6
Sixth number = x + 8
Set up the equation and solve
x - 2 + x + x + 2 + x + 4 + x +6 + x + 8 = 393 Put all the like terms together.
x + x + x + x + x + x -2 + 2 + 4 + 6 + 8 = 393
6x + 18 = 393 Subtract 18 from both sides.
6x = 393 - 18
6x = 375 Divide by 6
x = 375 / 6
x = 62.5
The second number is 62.5 <<<<< Answer
Answer:
T-shirts and
Baseball Caps
Step-by-step explanation:
GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was
, and the profit on each cap was
.
TO FIND: If the students made a total profit of
, how many T-shirts and how many caps were sold.
SOLUTION:
Let the total number of T-shirts sold are ![=\text{t}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bt%7D)
Let the total number of Baseball Caps sold are ![=\text{b}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bb%7D)
Profit received on each T-shirt ![=\$5.00](https://tex.z-dn.net/?f=%3D%5C%245.00)
Profit received on each Baseball Caps ![=\$2.50](https://tex.z-dn.net/?f=%3D%5C%242.50)
Total profit received on T-shirts ![=\$5.00\text{t}](https://tex.z-dn.net/?f=%3D%5C%245.00%5Ctext%7Bt%7D)
Total profit received on Baseball Caps ![=\$2.50\text{b}](https://tex.z-dn.net/?f=%3D%5C%242.50%5Ctext%7Bb%7D)
![5\text{t}+2.5\text{b}=210](https://tex.z-dn.net/?f=5%5Ctext%7Bt%7D%2B2.5%5Ctext%7Bb%7D%3D210)
Also,
The number of T-shirts sold was three times the number of caps.
![\text{t}=3\text{b}](https://tex.z-dn.net/?f=%5Ctext%7Bt%7D%3D3%5Ctext%7Bb%7D)
putting in equation,
![5\times\text{3b}+2.5\text{b}=210](https://tex.z-dn.net/?f=5%5Ctimes%5Ctext%7B3b%7D%2B2.5%5Ctext%7Bb%7D%3D210)
![17.5\text{b}=210](https://tex.z-dn.net/?f=17.5%5Ctext%7Bb%7D%3D210)
![\text{b}=12](https://tex.z-dn.net/?f=%5Ctext%7Bb%7D%3D12)
![\text{t}=3\times12](https://tex.z-dn.net/?f=%5Ctext%7Bt%7D%3D3%5Ctimes12)
![\text{t}=36](https://tex.z-dn.net/?f=%5Ctext%7Bt%7D%3D36)
Hence total
t-shirts and
baseball Caps were sold.
Answer
588 is the exact answer. Which is about 590 or 600.
Step-by-step explanation: