I Need help Please, Geometry1. If 2. Fill in the blanks for each conjunction, sin 20 = cos __ , sin 33 = cos __ , sin 45 = cos __
3. find the value of x,
3a. sin(x) = cos 31,
3b. sin 75 = cos(x),
3c. sin(x-4) = cos 50
Answers
Step-by-step explanation:
Answer:
\frac{7}{4}
4
7
Explanation:
______________________
We know the values of
i) cos0° = 1
ii) sin45° = \frac{1}{\sqrt{2}}
2
1
iii) sin30° = \frac{1}{2}
2
1
iv) sin90° = 0
v) cos45° = \frac{1}{\sqrt{2}}
2
1
vi ) cos60° = \frac{1}{2}
2
1
_____________________
Now,
The value of
(cos 0+sin 45+sin 30)(sin 90-cos 45+cos 60)
= \left(1+\frac{1}{\sqrt{2}}+\frac{1}{2}\right)\left(1-\frac{1}{\sqrt{2}}+\frac{1}{2}\right)(1+
2
1
+
2
1
)(1−
2
1
+
2
1
)
= \left(\frac{3}{2}+\frac{1}{\sqrt{2}}\right)\left(\frac{3}{2}-\frac{1}{\sqrt{2}}\right)(
2
3
+
2
1
)(
2
3
−
2
1
)
= \left(\frac{3}{2}\right)^{2}-\left(\frac{1}{\sqrt{2}}\right)^{2}(
2
3
)
2
−(
2
1
)
2
/* By algebraic identity
(a-b)(a+b) = a²-b² */
= \left( \frac{9}{4}-\frac{1}{2}\right)(
4
9
−
2
1
)
= \frac{9-2}{4}
4
9−2
= \frac{7}{4}
4
7
••••
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Given: x + 3.8 > -10.02. Choose the solution set. a. {x | x ∈ R, x > -6.22} b. {x | x ∈ R, x > -10.40} c. {x | x ∈ R, x > -13.82}
Answers
The ? is the missing y coordinate. (4, y) satisfies 8x - 3y = -10
8x - 3y = -10. From point (4, y), we would replace x = 4 in the equation below. y remains the unknown.
8*4 - 3y = -10
32 - 3y = -10
-3y = -10 - 32
-3y = - 42
y = -42/-3
y = 14
8x - 3y = -10
8(4) - 3y = -10
32 - 3y = -10
Add 3y on both sides.
32 = -10 + 3y
Add 10 on both sides.
42 = 3y
Divide 3 on both sides.
y = 14
The point is (4, 14).
Answers
work: -8 x 6 = -48
-8 + 6 = -2
Answer:
6 and -8
Step-by-step explanation:
6x-8=-48
6+(-8)=-2
to find these number list what numbers you multiply together to get -48 but if you add them together u get -2
since in multiplication the 48 has a negative sign the one number is negative the other is positive
and since in addition the 2 is negative then the bigger number is also negative
2x-24=-48 but 2+(-24)=-22 wrong
3x-16=-48 but 3+(-16)=-13 wrong
4x-12=-48 but 4+(-12)=-8 wrong
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Answers
Answer:
12/40 non simplified and 3/10 simplified.
Step-by-step explanation:
Answers
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========================
Answers
38+22=60
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Answers
The experimental probability of landing on heads will be 9/20 or 0.45.
What is probability?
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A coin is tossed 40 times.
Heads appeared 18 times.
Total events = 40
Favorable events = 18
Then the experimental probability of landing on heads will be
P = 18 / 40
P = 9 / 20
P = 0.45
More about the probability link is given below.
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