Answer:
<h2>The answer is 49</h2>
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
To find the 10th term of the sequence first find the first term and the common difference
From the question
a = 4
d = 9 - 4 = 5 or 14 - 5 = 9
Since we are finding the 10th term
n = 10
Substitute the values into the above formula
That's
A(10) = 4 +(10-1)5
= 4 + 9(5)
= 4 + 45
We have the final answer as
<h3>A(10) = 49</h3>
Hope this helps you
The number (x) that is (=) 10 less than (-) 6
x = 6 - 10 Subtract
x = -4
Answer:
Step-by-step explanation:
Let the speed of the car is c and speed of the plane is p.
<h3>We are given:</h3>
The speed of the plane is 7 times the speed of the car
The distance traveled is
The time difference to travel this same distance is 3 hours.
<h3>We know that:</h3>
- d = ts, where d- distance, t- time, s - speed
Find the time for car and plane and their difference.
<h3>Car</h3>
<h3 /><h3>Plane</h3>
- t = d/s = 315/p = 315/(7c) = 35/c
<h3 /><h3>The difference</h3>
<u>Solve it for c:</u>
- (315 - 45)/c = 3
- 270/c = 3
- c = 270/3
- c = 90 km/h
Now find the speed of plane:
As we see, Jenny is right
Answer:
c= 18.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = a/c
cos 57 = 10/c
Multiply each side by c
c cos 57 =10
Divide each side by cos 57
c = 10/cos 57
c=18.36078459
Rounding to the nearest tenth
c= 18.4
The completed factor is (7x+2) (x+5)