Answer:
184cm^2
Step-by-step explanation:
(5+5+6) * 10 = 160
6*4 = 24
160+24=184
there are 2 triangles so I am assuming they have the same dimensions
Answer: 150
Step-by-step explanation:
To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d
From the question,
First term = a = 4
12th term = 31.5
We need to get the common difference which will be:
Since 12th term = 31.5
a + (n - 1)d = 31.5
a + (12 - 1)d = 31.5
a + 11d = 31.5
Recall that a = 4
4 + 11d = 31.5.
11d = 31.5 - 4
11d = 27.5
d = 27.5 / 11
d = 2.5
Since last term is 376.5, the number of terms in it will be calculated as:
a + (n - 1)d = 376.5
4 + (n - 1)2.5 = 376.5
4 + 2.5n - 2.5 = 376.5
2.5n = 376.5 - 4 + 2.5
2.5n = 375
n = 375 / 2.5
n = 150
The number of terms in the series is 150.
Answer:
1.88
Step-by-step explanation:
8-2√5=3.527864045
square root of 3.527864045=1.87826090972
the question will probably want it to 2d.p (decimal places) which means the answer would be 1.88
Answer:
f(2) = 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + 2x + 16
f(2) is x = 2
<u>Step 2: Evaluate</u>
- Substitute: f(2) = 3(2)² + 2(2) + 16
- Evaluate: f(2) = 3(4) + 2(2) + 16
- Multiply: f(2) = 12 + 4 + 16
- Add: f(2) = 32
And we have our answer!
Answer:
an integer plus its opposite sum zero. The opposite of a number is called the additive inverse because the two numbers' sum is zero.
