Hello from MrBillDoesMath
Answer:
[email protected] = - sqrt(7)/ 4
which is choice B
Discussion:
This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:
([email protected])^2 + (sin2)^2 = 1
If [email protected] = 3/4
, the
([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)
([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16
So...... taking the square root of both sides gives
[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4
But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative
[email protected] = - sqrt(7)/ 4
which is choice B
Thank you,
Mr. B
Answer:
A = 4200 ft^2
Step-by-step explanation:
We know the formula for area is
A = l*w
We need to have the same units
convert yd to ft
1 yd = 3ft
Multiply each by 70
70 yds = 210 ft
A = 210 *20
A = 4200 ft^2
Answer:
See sample table below.
Step-by-step explanation:
The function is given as :
f(x) = 3ˣ
A table of values can be formed as ;
x <u>calculations</u> f(x)
-4 3⁻⁴ 0.0123
-3 3⁻³ 0.0370
-2 3⁻² 0.1111
-1 3⁻¹ 0.3333
0 3⁰ 1.000
1 3¹ 3.000
2 3² 9.000
3 3³ 27.00
4 3⁴ 81.00
Solving: (5)(3 - 1) + 4
Step One: Subtract 1 from 3 which is 2
<span><span>5<span>(<span>3 − 1</span>) </span></span>+ 4
Step Two, Multiply 5 by 2 which is 10</span><span>=<span><span><span>(5)</span><span>(2) </span></span>+ 4
Step Three, Add 4 to 10 which is 14</span></span><span>=<span>10+4
</span></span><span>=<span>14
Answer:
(A)14
Hope this helps!
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