Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
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Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
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75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
Answer:
y = 9.54
and, x = 0.08
Step-by-step explanation:
Given that
x - 2y = -19 .......................(1)
3x + 5y = 48 ...............(2)
Based on the above information
Multiply by 3 in equation 1
So,
3x - 6y = -57
3x + 5y = 48
- - -
-11y = -105
y = 9.54
So, the x would be
x - 2(9.54) = -19
x - 19.08 = -19
x = -19 + 19.08
x = 0.08
45 to get j by itself you need to multiply both sides by 9
Your answer is b because the common denominator is 10 and so just look at my pic
Answer: The answer is 300 gallons.
Step-by-step explanation: Riemann sum is a method of calculating the total area under a curve on a graph, which is also known as Integral.
To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δ
= 
If a function is defined on the closed interval [a,b] and 
is any point in [
,], then a Riemann Sum is defined as ∑f()Δ.
For this question:
Δ = 
= 1.4
Now, we have to find s(t) for each valor on the interval:
s(t) = 0.29
- t +25
s(0) = 25
s(1) = 24.29
s(2) = 24.16
s(3) = 24.61
s(4) = 25.64
s(5) = 27.25
s(6) = 29.44
s(7) = 32.21
Now, using the formula:
∑f()Δ = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)
∑f()Δ = 1.4(212.6)
∑f()Δ ≅ 300
With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.
