Answer:
Step-by-step explanation:
y is 15.49
Formula is b = √c^2-a^2
You could use sine [ opposite/hypotenuse ],
Cosine [adjacent/hypotenuse]
or Tangent [ opposite/adjacent ]
to find theta
Theta is 75.522
Answer:
price = 4.1
cost = 12.3
Step-by-step explanation:
price = 0.8+1.2+1.5+0.6 = p4.1
cost = 2.40+3.60+4.50+1.80 = $12.3
Do 4 1/4 - 1/4 which is easy, just take away the 1/4 and you get 4, so he used 1/4 gallons
Answer:
$1,635
Step-by-step explanation:
she makes $45 a year so if you multiply that by 3 you get $135
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
<u>Sum of terms:</u>
- Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
- S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
- 2020 = 10(2a₁ + 19d)
- 202 = 2a₁ + 19d
<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>
- 202 = 2a₁ + 38k
- 101 = a₁ + 19k
<u>Possible values of k= 1,2,3,4,5</u>
- k = 1 ⇒ a₁ = 101 - 19 = 82
- k = 2 ⇒ a₁ = 101 - 38 = 63
- k = 3 ⇒ a₁ = 101 - 57 = 44
- k = 4 ⇒ a₁ = 101 - 76 = 25
- k = 5 ⇒ a₁ = 101 - 95 = 16
<u>As per above, </u>
- a) possible progressions are 5
- b) the smallest and largest possible values of the first term are 16 and 82
