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 volume of a triangular prism is the "area of a triangle" times the "thickness."
The area of a triangle is (base times height) over 2.
V = ((b*h)/2)*T
Given V = 2400 cu. cm, b = 16 cm, T = 20 cm, and h is unknown,
h = (2V)/(bL) = (2*2400)/(16*20) = 15 cm
Note that the given 17 cm in the picture is useless.
Using the Pythagoras theorem
15^2 = x^2 + h^2 where h = height of ladder on the nuiding
h^2 = 15^2 - 6^2 = 189
= 13.75 ft to nearest hundredth
Hello and Good Morning/Afternoon
<u>Let's take this problem step by step.</u>

<u>What did we do in this problem</u>
- we ensured that both sides remained equally balanced in value
- took everything step-by-step to make sure that there were no mistakes
- to check it, we can plug it back into the original equation to see if it works

<u>Answer: x = 6</u>
Hope that helps!
#LearnwithBrainly
The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5
<u>Solution:</u>
Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )
We have to solve the above given equation for x.
Now, take the equation

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction
On solving the brackets, we get

Now multiplication is given preference


Now subtraction is done

Now division is performed

Hence, the value of x is 4.5