Answer:
x = 24.99 or 25
Step-by-step explanation:
<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>
sin y = (1/5)
y = 11.54°
90 - 11.54 = 78.46°
<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>
1² + b² = 5²
1 + b² = 25
b² = 24
b = √24
<em>Now we can use tan to figure out the length of segment DC.</em>
tan(78.46) = z/√24
z = 23.99
<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>
1 + 23.99 = 24.99 or <u>about</u> 25.
Answer:
80
Step-by-step explanation:
Since the three angles of a triangle add to give 180°
The the size of the largest angle 4 = 180° ×
= 180° ×
∴ the size of the largest angle = 80°
Answer:
-9/1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as
y = ab^x
y = b(1 + r)^ t
Where
y represents the value of the coin after x months.
x represents the number of months.
a represents the initial value of the coin.
b represents rate of growth.
From the information given,
a = 243
b = 1 + 15/100 = 1 + 0.15 = 1.15
Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as
y = 243(1.15)^x
If y = 1000, it means that
1000 = 243(1.15)^x
1000/243 = 1.15^x
4.115 = 1.15^x
Taking log of both sides, it becomes
log 4.115 = xlog1.15
0.614 = 0.061x
x = 0.614/0.061
x = 10 months
It will take 10 months
