To estimate this I find it easy to turn the fractions into decimals and then you can easily estimate. To turn a fraction into a decimal divide the numerator by the denominator.
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
Answer:
The first three terms in the sequence are -4, -2, 0
Step-by-step explanation:
In any sequence n represents the position of the term in the sequence
<u><em>Examples:</em></u>
First term ⇒ n = 1
Second term ⇒ n = 2
Fifth term ⇒ n = 5
Let us solve our question
∵ The rule of the nth term is an = 2n - 6
→ We need to find the first three terms, means n = 1, 2, 3
∵ n = 1
∴ a1 = 2(1) - 6
∴ a1 = 2 - 6
∴ a1 = -4
∴ The first term is -4
∵ n = 2
∴ a2 = 2(2) - 6
∴ a2 = 4 - 6
∴ a2 = -2
∴ The second term is -2
∵ n = 3
∴ a3 = 2(3) - 6
∴ a3 = 6 - 6
∴ a3 = 0
∴ The third term is 0
The first three terms in the sequence are -4, -2, 0
