Answer:
Step-by-step explanation:
a. This is a right triangle with two sides and one angle given.
-We apply Sine Rule to find the angle B:
-The sides given are 10and 17 and the right angle 90°
Hence the angle B is 36.03°
b.We again use the sine rule to obtain the unknown angle w:
-15 corresponds to 90° and 9 corresponds to w°
Hence, the measure of w is 36.87°
Answer:
<em>AB = 5√2</em>
<em>AC = √145</em>
<em>BC = √65</em>
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
For AB A(-3,6),B(2,1),
AB = √(2+3)²+(1-6)²
AB = √(5)²+(-5)²
AB = √25+25
AB = √50
<em>AB = 5√2</em>
For AC A(-3,6) and C(9,5)
AC = √(9+3)²+(5-6)²
AC = √(12)²+(-1)²
AC = √144+1
<em>AC = √145</em>
For BC B(2,1), and C(9,5)
BC = √(9-2)²+(5-1)²
BC = √(7)²+(4)²
BC = √49+16
<em>BC = √65</em>
<em></em>
<em>Since All the sides are difference, hence triangle ABC is a scalene triangle</em>
Answer:
a) growth
b) $500
c) 6% = 0.06
d) 
e) $595.51
Step-by-step explanation:
<u />
<u>Part (a)</u>
Exponential GROWTH, since interest is applied to the account each year.
<u>Part (b)</u>
Initial amount = $500
<u>Part (c)</u>
Growth factor = 6% = 0.06 (in decimal form)
<u>Part (d)</u>
General form of exponential growth function:
where:
- a = initial amount
- r = rate of growth (in decimal form)
- x = time (in years)
Given:
<u>Part (e)</u>
when x = 3
Answer:
9
Step-by-step explanation:
Total initially in bookstore = 45
Sold 13copies, remaining copies = 45-13= 32
Sold 23 copies again, remaining copies = 32-23 = 9
Copies left = 9
Your answer would be 5 hours. Because total time divided by rate is the time it took to travel that distance. 250mi/50mph=5hours. Hope this helps.
