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fiasKO [112]
3 years ago
6

Find the coordinates of point A

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0

Answer:

10.4

Step-by-step explanation:

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What is the volume of the largest hemisphere that you could carve out of a wooden block whose edges measure 3 m by 7 m by 7 m?
My name is Ann [436]
V = ⁴/₃π(3³) ÷ 2

V = ⁴/₃ (27)π ÷2

V = 36π ÷ 2
V = 18π cm³
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Six less than four times a number is 26. What is the number?
statuscvo [17]
Okay, lets see here. So since we know that 26 is six less than the actual answer, we'll add 6 to 26 which gives us 32. Then we'll do 32 divided by 4, which is 8.
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Find sin^4(a) + cos^4(a), if cos(a) + sin(a) = 1/3
Nadya [2.5K]

Answer:

49/81

Step-by-step explanation:

[cos(a) + sin(a)]^2 = (1/3)^2

(cos(a))^2 + 2sin(a)cos(a) + (sin(a))^2 = 1/9

(sin(a))^2 + (cos(a))^2 = 1

1 + 2sin(a)cos(a) = 1/9

2sin(a)cos(a) = -8/9

sin(a)cos(a) = -4/9

[cos(a) + sin(a)]^4 = (1/3)^4 = 1/81

(cos(a))^4 + 4sin(a)×(cos(a))^3 + 6×(sin(a))^2×(cos(a))^2 + 4(sin(a))^3×cos(a) + (sin(a))^4 = 1/81

(cos(a))^4 + (sin(a))^4 + 4sin(a)cos(a)((cos(a))^2 + (sin(a))^2) + 6(sin(a)cos(a))^2 = 1/81

cos(a))^4 + (sin(a))^4 + 4sin(a)cos(a)(1) + 6(sin(a)cos(a))^2 = 1/81

(cos(a))^4 + (sin(a))^4 + 4(-4/9) +6((-4/9)^2) = 1/81

(cos(a))^4 + (sin(a))^4 - 16/9 + 6(16/81) = 1/81

(cos(a))^4 + (sin(a))^4 = 1/81 + 16/9 - 6(16/81)

(cos(a))^4 + (sin(a))^4 = 49/81

3 0
3 years ago
Which of the following conversions is correct?
alina1380 [7]
1 gallon = 128 ounces
6 0
3 years ago
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Which statement best explains why objects are pulled toward Earth's center?
Anon25 [30]

answer

objects are pulled toward Earth's center? Earth has a magnetic force that is strongest at its core. Earth has a much greater mass than objects on its surface. The weight of the atmosphere pushes objects toward Earth's surface

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4 years ago
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