<span>We know that the runner completed her first race in 17.8 seconds and that she completed her second race in 16.9 seconds. Then the difference between the first race and the second race is .9 seconds. Now we divide .9 by 17.8 and multiply by 100 to get the percent decrease. We get 5.06%. The percent decrease in her time is 5%.</span>
<span>|3x|>0
3x> 0 then x > 0
-3x > 0 then x < 0
answer
x > 0 or x < 0</span>
Answer:
x = 28°, ∠ABC = 57°
Step-by-step explanation:
∠ABD = 2x+1
∠BCD = 33°
∠ABD = 90° (right angle)
which means that
∠ABC + <CBD = 90° (In the middle of ∠ABD)
Then, we can substitute to the equation to find x
(2x+1) + 33° = 90°
(2x+1) = 57°
2x = 56°
x = 28°
after finding x, we can find ∠ABC:
∠ABC = 2(28) + 1 = 57°
I hope this helps, have a great day! :)
Answer:
The fair price for the large container is<u><em> $12</em></u>
Step-by-step explanation:
In this question, we are tasked with calculating what would be the fair price for the large cylinder given the price for the small cylinder.
To calculate this, what we need to do firstly is to estimate the the volumes of both cylinders.
Mathematically, the volume of a cylinder can be calculated using the formula; V = π ×
×h
For the small cylinder, r = 3 inches and h = 10 inches
Thus 
= π × 
× 10 = 90π 
For the large cylinder, r = 6 inches and h = 10 inches
Thus 
= π ×
× 10 = 360π
Now let us find the ratio of their volumes = 360π/90π = 4
Since the ratio of their volumes is 4, it can be fair to say that the large cylinder should cost 4 times the price of the small cylinder = 4 × $3 = $12
The answer for this item would be letter "B. Pan balance". Each of the items from the choices serves different purposes. The graduated cylinder is used to measure liquid volumes. Tape measure is used for measuring lengths and the thermometer is used for measuring temperature.
