Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for B
B = 180° - (90 + 39)° = 180° - 129° = 51°
Using the tangent and sine ratios in the right triangle for b and c
tan39° = 
= 
Multiply both sides by b
b × tan39° = 27 ( divide both sides by tan39° )
b = 
≈ 7.5 ( to the nearest tenth )
sin39° = 
= 
Multiply both sides by c
c × sin39° = 27 ( divide both sides by sin39° )
c = 
≈ 28.0 ( to the nearest tenth )
Answer:
n = ( 40 - m )
Step-by-step explanation:
On a particular day, Ricardo drank a total of 40 fluid ounces of water.
If he drank m fluid ounces of water in the morning of that day, then the number of fluid ounces of water he drank the rest of the day is given by (40 - m) fluid ounces.
If n represents the number of fluid ounces water that he drank the rest of the day, then we can write the equation as
n = ( 40 - m )
Therefore, the above equation can be used to find n. (Answer)
So here is how we are going to answer the problem above:
Given that f is the cost of French fries and b is the cost of Hamburger.
So: 5f + 6b = 4.55
5f = 4.55 - 6b (multiply both sides by 6) and we get
30f = 27.3 - 36b
Next,
6f + 10b = 7.00 (multiply both sides by 5) and we get
30f + 50b = 35 (Now substitute the value of 30f)
27.3 - 36b + 50b = 35
14b = 35 - 27.3
14b = 7.7 (divide both sides by 14)
b = 0.55
Therefore, the cost per hamburger is $0.55
Now go back to the cost of fries:
30f = 27.3 - 36b
30f = 27.3 - 36(0.55)
30f = 27.3 - 19.8
30f = 7.5 (divide both sides by 30)
f = 0.25
Therefore, the cost per french fries is $0.25
Hope this helps.
Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 - 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Answer:
See the answers below
Step-by-step explanation:
Nine
The first step is to find the common difference. That's found by using
<em><u>Common Difference</u></em>
t4 - t3
t4 = - 15
t3 = - 19
t4 - t3 = -15 - - 19
t4 - t3 = -15 + 19
t4 - t3 = 4
t1 = - 27 which is the first term.
<em><u>Explicit formula</u></em>
tn = a + (n - 1)*d
tn = - 27 + (n - 1)*4
t5 = -27 + (5 - 1)*4
t5 = -27 + 4*4
t5 = - 11
<em><u>Recursive</u></em>
tn = tn - 1 + 4
Ten
<em><u>Common difference</u></em>
t4 - t3
21 - 15
Common difference = 6
t2 = 33 - 6
t2 = 27
<em><u>Explicit formula</u></em>
tn = a + (n - 1)*d
tn = 33 + (n - 1)*6
<em><u>Recursive Formula</u></em>
tn = tn-1 + 6
There are too many answers between the 2 questions that the exact format can be followed and have it make sense. You are better off following each question and writing down the answers as you come to them.
