3x - y = 3.....3x - 3 = y
1/4x + 2/3(3x - 3) = -17/4
1/4x + 2x - 2 = -17/4 ...multiply everything by 4
x + 8x - 8 = -17
9x = -17 + 8
9x = - 9
x = -1
3x - y = 3
3(-1) - y = 3
-3 - y = 3
-3 - 3 = y
-6 = y
solution is (-1,-6)
1,295.01 is 1,295.014 rounded to the nearest hundredth. The tenths place is where the 0 is after the decimal point, the hundredths place is the 1 after the decimal point, and the thousandths place is the 4 after the decimal place.
100 * 1000 : 60 : 60 = 27.77 m/s
Answer:
299.99 miles
Step-by-step explanation:
Since the plane traveled due west,
The total angle is 49.17 + 90
Represent that with θ
θ = 49.17 + 90
θ = 139.17.
Represent the sides as
A = 170
B = 150
C = unknown
Since, θ is opposite side C, side C can be calculated using cosine formula as;
C² = A² + B² - 2ABCosθ
Substitute values for A, B and θ
C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17
C² = 22500 + 28900 - 51000 * Cos 139.17
C² = 51400 - 51000 (−0.7567)
C² = 51400 + 38,591.7
C² = 89,991.7
Take Square Root of both sides
C = 299.9861663477167
C = 299.99 miles (Approximated)
Hence, the distance between the plane and the airport is 299.99 miles
Answer:
For more;
4.76
for less;
0.46
Step-by-step explanation:
Here, we intend getting the decimals that Carmen should make in her game given the numbers she drew
She has two types to make; a decimal less than 1 and a decimal more than 1
If the decimal should be less than 1, the number zero should lead;
And since she is using three of the numbers, we can have something like;
0.46
To make a decimal more than one, she could actually start with any of the numbers other than zero
we can have something like 4.76
