Answer:
Step-by-step explanation:
a) categorical
b) add all of the numbers and divide by how many numbers there were.
c) outliers means any that were far away from the rest of the data
d) not entirely, you can make an estimate based on it, but nat an exact answer.
<span>Proving the converse of the Pythagorean theorem means that for any triangle ABC with verticles of a, b, and c such that angle triangle ABC is not a right angle</span>
Answer:
9 units
Step-by-step explanation:
If you assume the solution is an integer, then you are looking for factors of 27 that differ by 6. You don't have to look far:
27 = 1×27 = 3×9
If the length is 9 units and the width is 3 units, the width is equal to the length minus 6 units.
The length is 9 units.
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<em>Alternate solutions</em>
You can write an equation for the area using L to represent the length. The area is the product of length and width, so is ...
A = LW
27 = L(L-6) = L^2 -6L
You can "complete the square" by adding the square of half the L coefficient:
27 +3^2 = L^2 -6L +3^2
36 = (L -3)^2 . . . . . simplify a bit
6 = L -3 . . . . . . . . . positive square root
9 = L . . . . . . . . . . . . add 3
The length is 9 units.
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You can also put the quadratic equation into standard form:
L^2 -6L -27 = 0
To factor this, you're looking for factors of -27 that have a sum of -6. From above, we know these are -9 and +3. So the factorization is ...
(L -9)(L +3) = 0
The solutions are the values of L that make these factors be zero:
L -9 = 0 ⇒ L = 9
L +3 = 0 ⇒ L = -3
Only the positive solution is useful as a measure of length. The length is 9 units.
1) you can buy 6 candy bars because $5.10 / $0.85 =
6.
To check: 6*0.85=5.10
2) you can find the answer by adding 3 to 12. 3+12=15 n=15 and it said n can be greater than or equal so
N(greater than or equal to sign) 15.
To check: 15-3=12
12=12
16-3>12
13>12
7) x-7=12
+7 +7
X=19
To check: 19-7=12
12=12
8) y/8=7
*8 *8
Y= 56
To check: 56/8=7
7=7
9) 10-4x=6x
+4x +4x
10=10x
/10 /10
X=1
To check: 10-4(1)=6(1)
10-4=6
6=6
Hope this helped!
The area of a parallelogram is just:
A=bh, we are given b=3ft, so b=36in and A=324in^2 so
324=36h dividing both sides by 36
h=9
So the height is 9 inches.
