Multiply both numbers by 10 so that there are no complicated decimals to work with but you must make sure to multiply both sides by the same amount to keep the equation from changing value.
500,000
The nearest hundred thousand would be 500,000 and 600,000, but since 541,776 has 4 in next unit, it rounds down.
*see attachment for missing diagram
Answer:
AC = 5 and BC = 5√3
Step-by-step explanation:
Given:
m<A = 60°
m<B = 30°
AB = 10
Required:
AC and BC
Solution:
Recall, SOH CAH TOA
✔️Find AC:
Reference angle (θ) = 30°
Hypotenuse = 10
Opposite = AC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 30° = AC/10
10*Sin 30° = AC
10*½ = AC (sin 30° = ½)
5 = AC
AC = 5
✔️Find BC:
Reference angle (θ) = 60°
Hypotenuse = 10
Opposite = BC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 60° = BC/10
10*Sin 60° = BC
10*√3/2 = BC (sin 60° = √3/2)
5*√3 = BC
BC = 5√3
Answer:
A = x^2 + 4x -21
Step-by-step explanation:
L = x+7
W = x-3
A = L*W
A = (x+7)(x-3)
A = x^2 + 4x - 21
Answer:
The number of children's tickets bought was 300 and the number of adult tickets bought was 700
Step-by-step explanation:
Let
x ----> the number of children's tickets bought
y ----> the number of adult tickets bought
we know that
-----> equation A
-----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for x
<em>Find the value of x</em>
therefore
The number of children's tickets bought was 300 and the number of adult tickets bought was 700