Answer:
sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Step-by-step explanation:
The given AP is,
1, -4, -9, -14, . . .
first term a = 1,
common difference d = -4 - 1 = -5
number of terms n = 12
<u>Equation:</u>
Sum of n terms of AP, S₁₂ = n/2[2a + (n - 1)d]
S₁₂ = 12/2[(2*1) + (12 - 1)*(-5)]
S₁₂ = 6[2 + (11*(-5))]
S₁₂ = 6[2 - 55] = 6*(-53) = -318
Therefore sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
You have to turn them into mixed numbers. 10/3 divided by 15/8. Now you have to multiply the first number by the reciprocal of the second. 10/3 times 8/15. The answer is 80/45 or 1 7/9.
Answer : The correct option is, (B) 1500 cubic yards.
Step-by-step explanation :
Formula used to calculate the volume of square pyramid is:
where,
V = volume of pyramid
a = base edge of pyramid
h = height of pyramid
Given:
Base edge of pyramid = 15 yards
Height of pyramid = 20 yards
Now putting all the given values in the above formula, we get:
Therefore, the volume of pyramid is 1500 cubic yards.
Answer:
Step-by-step explanation:
The triangles are drawn below.
CD is perpendicular to AB as CD is height to AB.
Therefore, angles °
So, triangles ΔCBD and ΔCAD are right angled triangles.
Now, from the right angled triangle ΔABC,
From ΔCBD,
is same as .
So,
Now, from ΔCAD,
is same as
So,
Hence, the unknown angles of both the triangles are:
19.25x Hope this helped you....