Answer:
4 + (-10)
Step-by-step explanation:
for the answer you are taking adding TEN negatives from a non negative number. So we subtract 4 - 10 this equals -6 which is the same as -10 - (-4)
Answer: a: 4:5, b: 5:4, c: 5:9
Step-by-step explanation:
Answer:
The answer is A. -5
Step-by-step explanation:
Write out the equation:
-3 + c = -8 Add 3 on both sides to isolate the varible on one side
c = -5 -8 plus 3 is -5
You must isolate the variable in order to solve equations with variables.
Isolating variable is basically when you divide, multiply, add, or subtract to put a variable on <u><em>ONLY </em></u>one side of the equation.
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Answer:
404 cm³ Anyway... Look down here for my explanation.
Step-by-step explanation:
Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.
We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)
44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°
The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.
Shaded area 88.8/360*area of circle - ½*7*788.8°
= 88.8/360*π*7² - 24.5*sin 88.8°
13.5 cm²
(using area of ∆ = ½.a.b.sin C for the triangle)
Volume of water = cross-sectional area * length
13.5 * 30 cm³
404 cm³
Answer:
A = 121 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi*r
22 pi = 2 * pi *r
Divide each side by 2 pi
22 pi / (2 pi) = 2 pi r / (2pi)
11 = r
Now find the area
A = pi r^2
A = pi (11)^2
A = 121 pi in^2
