Answer:
C. 24.1 ft
Step-by-step explanation:
The side of the wall making the tilt of 75° will represent the hypotenuse
The height of the wall will be represented by the side opposite to the angle 75°
Apply the relationship for sine of angle Ф
Formula to use is ;
Sin Ф= length of opposite side÷hypotenuse
SinФ=O/H
Sin 75°=O/25
0.96592582628=O/25
O=0.96592582628×25 =24.1 ft
Hey there!
It looks like we're factoring.
I always like to think of factoring as the opposite of the distributive property, and you'll see why.
First, we have to <em>factor</em> out a common <em>factor</em> from 21p and 35q, which we'll use as 7.
7 times 3p = 21p and 7 times 5q = 35q
Using our distributive property which is defined as:
a(b+c) = ab+ac we have:
7(3p + 5q)
Multiply it out and you'll get 21p and 35q.
Hope this helps!
Answer:
Solution 1
(x,y) = (-1,3)
Solution 2
(x,y) = (1,5)
Step-by-step explanation:
To easily solve this question, we use a graphing tool, or a calculator to plot each graph.
The solution of the system of equations corresponds to the intersection between both graphs
f(x)=x^2 + 4/4x + 3
g(x)=|x+4|
Please see image below
Solution 1
(x,y) = (-1,3)
Solution 2
(x,y) = (1,5)
Answer:
The values of a, b and c are:
Step-by-step explanation:
Step 1:
First Confirm the sequence is quadratic by finding the second difference.
Sequence =
1st difference:
2nd difference:
Step 2:
Just divide the second difference by 2, you will get the value of .
6 ÷ 2 = 3
So the first term of the nth term is
Step 3: Next, substitute the number 1 to 5 into
n = 1,2,3,4,5
3n² = 3,12,27,48,75
Step 4:
Now, take these values (3n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
3n² = 3,12,27,48,75
Differences:
1 - 3 = -2
11 - 12 = -1
27 - 27 = 0
49 - 48 = 1
Now the nth term of these differences (-2,-1,0,1) is (n - 1) - 2.
so b = 1, and c = -3
Step 5: Write down your final answer in the form an² + bn + c.
3n² + (n - 1) -2
= 3n² + n - 1 - 2
= 3n² + n - 3
Therefore, the values of a, b and c are:
Answer:So if we add 149 to 459684 we get 459833, which is divisible by 187.
Answer 149
Step-by-step explanation: