To solve this problem you must apply the proccedure below:
1. You have that:
- Sarah sights the top of the statue of liberty at an angle of elevation of 61°.
- She is standing 166 feet from the base of the statue.
<span>
- Sarah is 5.5 feet tall.
2. Therefore, the heigth of the statute is:
Tan(61°)=x/166
x=(166)(</span>Tan(61°)
x=299.47 feet
Height of the statue=299.47 feet+5.5 feet
Height of the statue=304.97 feet
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
Answer:
Part A: Triangles GCB and PBE
Part B: They're similar because they have the same internal angles.
Part C:
250/400 = BE/450
112500/400 = BE
BE = 281.25 ft
250/400 = PE/350
87500/400 = PE
PE = 218.75 ft
He worked 3 8-hour days.
Let x be the number of 8 hour days. Then 10-x is the number of 6 hour days.
8x + 6(10-x) = 66
Using the distributive property,
8x + 6*10 - 6*x = 66
8x + 60 - 6x = 66
Combining like terms:
2x + 60 = 66
Subtract 60 from both sides:
2x + 60 - 60 = 66 - 60
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3
