Answer:
True
Step-by-step explanation:
All equiangular triangles are similar.
The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.
<h3>How to find the sum of terms using Arithmetic sequence formula</h3>
aₙ = a + (n - 1)d
where
Therefore, let's find a and d
a₁₀ = a + (10 - 1)d
a₃₅ = a + (35 - 1)d
Hence,
16 = a + 9d
66 = a + 34d
25d = 50
d = 50 / 25
d = 2
16 - 9(2) = a
a = 16 - 18
a = -2
Therefore, let's find the sum of 75 terms of the arithmetic sequence
Sₙ = n / 2 (2a + (n - 1)d)
S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)
S₇₅ = 37.5 (-4 + 148)
S₇₅ = 37.5(144)
S₇₅ = 5400
learn more on arithmetic sequence here: brainly.com/question/1687271
Answer:
x = 4.1 cm
Step-by-step explanation:
To find x, apply pythagorean theorem, which is given as:
c² = b² + a²
Where,
c = 8.8 cm
b = ½(15.6) = 7.8 cm
a = x
Plug in the values
8.8² = 7.8² + x²
77.44 = 60.84 + x²
Subtract both sides by 60.84
77.44 - 60.84 = x²
16.6 = x²
Take the square root of both sides
√16.6 = x
x = 4.07430976
x = 4.1 cm (nearest tenth)
Answer:
7, 7.1, √51, 7.2
Step-by-step explanation:
√51 is 7.14