The answer is the one hundred thousands place
Answer:
A. Right triangle
Step-by-step explanation:
For problems like this, make use of the Pythagorean Theorem to determine which triangle can be formed.
Thus, there are always 3 sides in a ∆, as we've been given in the question above. The following rule can be use to find out which triangle can be formed:
1. If a² + b² = c², a right triangle is formed.
2. If a² + b² > c², an acute triangle is formed.
3. If a² + b² < c², an obtuse triangle is formed.
Where, c is always the longest side, while a and b are the 2 other shorter side lengths compared to c.
From the question given,
a = 24
b = 45, while
c = 51
Let's find out which of the 3 rules this side lengths fit in, to determine the triangle they form.
24² + 45² ? 51²
576 + 2025 ? 2601
2601 = 2601 (this fits into rule 1 stated above)
Therefore, the side lengths given in the question would form a right triangle.
The GCF of 3a^2 + 9 is 3.
Factor for 3a^2 + 9
3a^2 + 9 = 3(a2 + 3)
Answer:<span>3<span>(<span><span>a2</span>+3</span><span>)</span></span></span>
Answer:
7:05
Step-by-step explanation:
We start with 5:45.
Add 60 minutes / an hour to get 6:45.
We have 20 minutes left to add.
Add 15 minutes to get 7:00.
Add 5 more to get 7:05.
Answer: the value for the associated test statistic is 1.2653
Step-by-step explanation:
Given that;
sample size one n₁ = 10
mean one x"₁ = 6.4
standard deviation one S₁ = 1.1
sample size two n₁ = 11
mean two x"₂ = 5.6
standard deviation one S₁ = 1.7
H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂
Pooled Variance
sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))
we substitute
= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))
= √( { [(9) × 1.21 + (10) × 2.89] / (19) } × (0.1909))
= √({[ 39.79 ] / 19} × (0.1909))
= √( 2.0942 × 0.1909)
= √( 0.39978 )
= 0.63228
Now Test Statistics will be;
t = ( x"₁ - x"₂) / sp
we substitute
t = ( 6.4 - 5.6) / 0.63228
t = 0.8 / 0.63228
t = 1.2653
Therefore the value for the associated test statistic is 1.2653
