Answer:
-20
Step-by-step explanation:
i used a calculator.
Use the power rule (which says to multiply the exponents)
1) n⁴ˣ⁸ = n³²
2) x³ˣ⁻⁵ = x⁻¹⁵ = ![\frac{1}{x^{15} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%5E%7B15%7D%20%7D)
3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵
Step-by-step explanation:
Notice that tan (75) can be written as sin(75)/cos(75) = sin(30 + 45) / cos(30 + 45)
And using a couple of trig identities, we have
[sin 30 cos 45 + sin 45 cos 30 ] / [cos 30 cos 45 -sin 30 sin 45] =
[ (1/2)(1/√2) +(1/√2))(√3/2)] / [ (√3/2) (1/√2) -(1/2) (1/√2) ] =
([1 + √3)] / [2 √2]) / ([√3 - 1] / [2 √2]) =
[ 1 + √3] / [√3 - 1] rationalizing the denominator, we have
[ 1 + √3] * [√3 + 1] / 2 =
[ 1 + √3 ] [ 1 + √3 ] / 2 =
[1 + 2√3 + 3] / 2 =
[4 + 2√3 ] / 2 =
2 + √3 so this is the exact value
Answer:
the slope is 1
Step-by-step explanation:
The slope can be found by determining the change in y over the change in x
In this graph as y goes up one x goes up one so the slope is 1/1 or 1
<em>The1AndOnlyMark</em>
Speed is measured in miles per hour (mph).
<span>The formula Distance equals rate times time (d=rt) can be rearranged and the rate can be solved, </span>
<span>d = r*t => r = d / t . d = 100 miles, time = 6 hours, Rate = 16.66 mph (16 and two thirds). </span>
<span>The same formula can be used for the second part, </span>
<span>21000 / 24 = rate, Rate = 875 kilometers per hour</span>