Answer:
d. (1, 5, 2)
Step-by-step explanation:
A suitable calculator can find the reduced row-echelon form for you. Some scientific calculators and many graphing calculators have this capability, as do on-line calculator. The one below is supported by ads.
Answer:
80 members
Step-by-step explanation:
Let the band members be= b and the chorale members= c
Then, according to question, b=c+30 and 
⇒
⇒
⇒
⇒
Now, substituting the value of b=c+30, we get
⇒
⇒
⇒
⇒
Therefore, 
Therefore, there are 80 members in the band.
Answer:
x = √40 = 2√10
Explanation:
The given triangle is an isosceles triangle. This means that the angle bisector is perpendicular to the base and bisects it, which means that we now have two identical right-angled triangles.
Let's consider the triangle on the right:
We have one of its sides = 6 units, the other one = 4/2 = 2 units and the hypotenuse = x units
We will use the Pythagorean theorem to get the length of the hypotenuse as follows:
(Hypotenuse)² = (side1)² + (side2)²
x² = (6)² + (2)²
x² = 36 + 4
x² = 40
either x = -√40 = -2√10 ........> rejected as length cannot be negative
or x = +√40 = 2√10 .........> accepted value
Based on the above:
x = 2√10 units
Hope this helps :)
A = L * H
A = 65
L = 2H - 3
65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0
-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches
H + 5 = 0
H = -5....this wont work because it is negative
L = 2H - 3
L = 2(6.5) - 3
L = 13 - 3
L = 10 <== length is 10 inches
Answer:
5 inches by 
inches
Step-by-step explanation:
According to the scale given, to convert "feet" to "inches", we have to multiply each feet by 1/4th. The drawing would be a "smaller" version of the original. That would be in inches.
So, 20 ft would be:
20 * 1/4 = 20/4 = 5 inches
and
27 feet would be:
27 * 1/4 = 27/4 inches
The dimension would thus be:
5 inches by inches
