Answer:
18
Step-by-step explanation:
x² = 16² + 30² - 2(16)(30)cos 30°
x² = 256 + 900 - 960(0.866)
x² = 1156 - 831.36
x² = 324.64
x = 18.02
Approx. 18
Please mark my answer as brainliest
Answer:
Option C is correct.
Step-by-step explanation:
y = x^2-x-3 eq(1)
y = -3x + 5 eq(2)
We can solve by substituting the value of y in eq(2) in the eq(1)
-3x+5 = x^2-x-3
x^2-x+3x-3-5=0
x^2+2x-8=0
Now factorizing the above equation
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x-2)(x+4)=0
(x-2)=0 and (x+4)=0
x=2 and x=-4
Now finding the value of y by placing value of x in the above eq(2)
put x =2
y = -3x + 5
y = -3(2) + 5
y = -6+5
y = -1
Now, put x = -4
y = -3x + 5
y = -3(-4) + 5
y = 12+5
y =17
so, when x=2, y =-1 and x=-4 y=17
(2,-1) and (-4,17) is the solution.
So, Option C is correct.
Answer:
788.13 to the nearest hundredth.
Step-by-step explanation:
Let A be the total amount in the account after 3 years.
The formula is A = P(1 + x/100)^t .
Here P = 5000, x = 5 % and the time t = 3. years.
Amount after 3 years = 5000(1 + 5/100)^3
= 5788.13
So the Interest is 5788.13 - 5000
= 788.13.
Right triangle
1) 75.6cm
2)10.14ft
3)16ft
Entire triangle
1)162cm
2)30.94ft
3)20ft
Answer: The answer is 0.25 miles.
Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.
Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.
In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.
In 1 minute, distance travelled by my friend is
Therefore, distance travelled by my friend in 5 minutes will be
Thus, the answer is 0.25 miles.
