Answer
given,
Standard price = $ 7.50
8,500 chairs were manufactured, using 43,600 yards at a cost of $7.55 per yard.
Price Variance = Actual Quantity x (Actual Rate - Standard Rate)
= 43,600 x (7.55 - 7.50)
= 2180 (U)
Quantity Variance = Standard Rate x (Actual Quantity - Standard Quantity)
= 7.5 x (43600 - 8500 x 5)
= 8250 (U)
Cost Variance = 2180+ 8250 = 10430 (U)
Answer:
11. O = (-1, 5/2); 12. H = (1,4)
Step-by-step explanation:
11. Circumcentre
Your points form the vertices of a right triangle (see image below).
The circumcentre (O) of a right triangle must be at the midpoint of the hypotenuse.
Your hypotenuse has the ends at (-3,4) and (1,1), so
O = ((-3 + 1)/2),(4 + 1)/2))
O = (-2/2,5/2)
O = (-1, 5/2)
===============
12. Orthocentre
The orthocentre (H) of a right triangle is the vertex at the right angle.
Your right angle is at (1, 4), so
H= (1,4)
Answer:
16.2 is the volume i hope i helped u
Hey there! I'm happy to help!
There were 5 tests needed to make an average of 77. These numbers have to add up to 385 (77×5) because that is what you divide by 5 to find the average which is 77.
Now, we want to find an average of 80 with 6 numbers. We multiply 80 and 6, showing us that the sum of these 6 numbers must be 480. Since 5 of these numbers are the same as with the 77 average, we know that one test score (the one Brady needs to get) is added to 385 to give us 480.
480-385=95
Therefore, Brady needs to earn a 95% on the last test to receive a B in the class.
Answer:
Step-by-step explanation:
# angle ABC is congruent to angle DEF which’s given
# angle GHI is congruent to DEF which’s given
#angle DEF is congruent to DEF / symmetric property
# angle ABC is congruent to GHI / transitive property
(ABC+DEF=DEF+GHI)
- SUBTRACT DEF from both sides
ABC=GHI