Answer:
sum of a triangle adds up to 180 degrees
a+b+c=180
35+52+93=180
One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.
The given set of numbers is:
0, 1, -1, -21, 4, 3.
Margie says that the set of numbers above is in order from least to greatest
Kindly note that:
The negative number with the highest magnitude is the lowest
The positive number with the highest magnitude is the highest
Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:
-21, -1, 0, 1, 3, 4
It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative
Learn more here: brainly.com/question/25874786
Answer: x = 0
y = 2
z = -1
Step-by-step explanation:
The system of equations are
x+y+z=1 - - - - - - - - - - 1
-2x+4y+6z=2 - - - - - - - - - 2
-x+3y-5z=11 - - - - - - - - - 3
Step 1
We would eliminate x by adding equation 1 to equation 3. It becomes
4y -4z = 12 - - - - - - - - - 4
Step 2
We would multiply equation 1 by 2. It becomes
2x + 2y + 2z = 2 - - - - - - - - - 5
We would add equation 2 and equation 5. It becomes
6y + 8z = 4 - - - - - - - - - 6
Step 3
We would multiply equation 4 by 6 and equation 6 by 4. It becomes
24y - 24z = 72 - - - - - - - - 7
24y + 32z = 16 - - - - - - - - 8
We would subtract equation 8 from equation 7. It becomes
-56z = 56
z = -56/56 = -1
Substituting z = -1 into 7, it becomes
24y - 24×-1 = 72
24y + 24 = 72
24y = 72 - 24 = 48
y = 48/24 = 2
Substituting y = 2 and z = -1 into equation 1, it becomes
x + 2 - 1 = 1
x = 1 - 1 = 0
Answer:
<h2>8.3 in²</h2>
Step-by-step explanation:
We have
three triangles with the base <em>b = 2 in.</em> and the height <em>h₁ = 2.2 in.</em>
one triangle with the base <em>b = 2 in. </em>and the height <em>h₂ = 1.7 in.</em>
The formula of an area of a triangle:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
Substitute:
100 = number of sets of clubs manufactured per month
S = sell-price for a set of clubs
Expenses per month = 23,250 + 145(100) = 37,750
Revenue per month = 100 S
Break-even when Expenses = Revenue
<u>100 S = 37,750</u>
One question: How did you solve it without an equation ?
