Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
{2x+y=11
{-x+2y=2 //*2
{2x+y=11
+
{-2x+4y=4
5y=15
y=3
-x+6=2
x=4
Answer
x=4; y=3
Step-by-step explanation:
since the volume formula is given in the picture,
volume of the cylinder = π x 3.75^2 x 6.21 = 274.349....in^3 (this is the exact answer)
HOWEVER,
since question says round off to nearest whole number,
Volume = 3 x 4^2 x 6 = 288in^3
therefore, answer = option C.
Hope that helps.
If you like to venture further, do check out my insta <em>(learntionary)</em> where I constantly post math tips! Thanks!
Every month she makes 4280 usd. $51,360/12 months...she pays her debt ($260) a month.....she will be approved. 1:16 Ratio
