Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = 
c = 
c = 
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = 
b = 
b = 
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = 
a = 
a = 
a = 9.42 m
Answer:
The linear speed is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
therefore
The linear speed is
Answer: A
Step-by-step explanation:
9514 1404 393
Answer:
- loan: $157,823
- repaid: $378,000
- interest: $220,177
Step-by-step explanation:
For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...
A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495
Then the amount repaid after 360 payments is ...
360A = 2.39508898 . . . times the principal amount
__
a) For a monthly payment of $1050, the principal can be ...
$1050/0.00665302495 ≈ $157,823
__
b) The amount repaid to the loan company is ...
$157,823×2.39508898 ≈ $378,000
__
c) The amount that is interest is ...
$378,000 -157,823 = $220,177
Answer:
1. <B, <A, <C
2. <E, <D, <F
Step-by-step explanation:
Recall: the longest side of a triangle would be opposite the largest angle, while the shortest side of a triangle would be opposite the smallest angle.
1. <B is opposite the shortest side, 3 (smallest angle)
<A is opposite the medium side, 4 (medium angle)
<C is opposite to the largest side, 5 (largest angle)
Therefore, the angles in ascending order would be:
<B, <A, <C
2. <E is opposite the shortest side, 5 (smallest angle)
<D is opposite the medium side, 6 (medium angle)
<F is opposite to the largest side, 7 (largest angle)
Therefore, the angles in ascending order would be:
<E, <D, <F
