Answer:
∠ B ≈ 53°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan B =
=
=
, then
∠ B =
(
) ≈ 53° ( to the nearest degree )
150 is smaller than 200 so 25 is smaller than 40, but 25, in perspective to the numbers, is much smaller than 40. Ana is faster.
Check:
Takashi: 200 divided by 400 equals 5 yd/sec
Ana: 150 divided by 25 equals 6 yd/sec
Answer:
Blank 1: y=3x+10
Blank 2: y= 40
Step-by-step explanation:
Let the cost of gift wrap be y and the number of gifts be x.
<u>Department</u>
An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.
y= 3x +10
<u>Niece</u>
A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.
y= 40
To find out when the two plans cost the same, equate the two equations together. Then, solve for x.
3x +10= 40
3x= 40 -10 <em>(</em><em>-10</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
3x= 30
x= 30 ÷3
x= 10
Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.
Answer:
4
Step-by-step explanation:
Answer:
3780 bolts will be made by 8pm
Step-by-step explanation:
One Hour : 500 nuts or 840 bolts
Divide by 2
30 minutes : 250 nuts or 420 bolts
750 nuts : 500 + 250 = 750
so the machine took 1 hour and 30minutes
14:00 it started (2pm)
15:30 it switched to bolts
20:00 (8pm)
4 hours and 30minutes to get to 8pm
<u>840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made</u>