Answer:
domain is (xo ≤ x ≤ 0.45 )
range is (xo ≤ y ≤ 8.1 )
Step-by-step explanation:
given data
constant speed = 18 miles per hour
total time = 27 minutes = 0.45 hour
solution
we consider here Domain number of hours = x and Range distance traveled = y
we apply here distanace formula that is
Distance = speed × time .........................1
put here value
Distance = 18 × 0.45 = 8.1 miles
and no of hours x = 0 to 0.45 hours
so here
So domain is (xo ≤ x ≤ 0.45 )
and
Distance is 0 to 8.1 miles
So range is (xo ≤ y ≤ 8.1 )
Density of fish = number of fish / volume
0.2 = n / 20
n = 20*0.2 = 4
there are 4 fish in the tank.
We will use the Pythagorean theorem:
c² = a² + b²
41² = 40² + b²
1681 = 1600 + b²
b² = 1681 - 1600
b² = 81
b = √ 81
b = 9 in
Answer: The length of the other leg is 9 inches.
The solution of the system of equations:
( -16.7, 19.28)
<h3>
How to solve the system of equations?</h3>
Here we have the system:
4x+3y=9
3x +4y = 36
First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:
x = 36/3 - (4/3)y = 9 - (4/3)y
Now we can replace this in the other equation:
4*(9 - (4/3)y) + 3y = 9
36 - (16/3)y + (9/3)y = 9
- (7/3)y = -36 - 9 = -45
y = (3/7)*45 = 19.28
To get the value of x, we get:
x = 9 - (4/3)*19.28 = -16.7
Then the solution of the system is ( -16.7, 19.28)
If you want to learn about systems of equations:
brainly.com/question/13729904
#SPJ1
Answer:
The correct answer would be obtuse
Step-by-step explanation:
An obtuse angle is an angle that has a measure of more than 90°
So if a triangle has an angle greater than 90° it would be classified as an obtuse triangle
