Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
<h2>Given that :</h2>
- The radius of a circle is 2.9 in.
<h2>to find :</h2>
- Find the circumference to the nearest tenth.
<h2>formulas used :</h2>
- circumference = 2 × π × r
where,
<h2>explanation :</h2>
⟼ c = 2πr
⟼ c = 2 × 22/7 × 2•9 inches
⟼ c = 2 × 3•14 × 2•9 inches
⟼ c = 6•28 × 2•9 inches
⟼ c = 18•21 inches.
<h2>Round to the nearest tenth :</h2>
⟼ c = 18•21 inches
⟼ c = 20 inches
∴ circle circumference is 20 inches .
Standard Normal Distribution. As discussed in the introductory section, normal distributions do not necessarily have the same means and standard deviations. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution.
Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
Answer:A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph with 10 vertices (or nodes) and 11 edges (links).
Step-by-step explanation: (The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. In each case, memorization is probably simpler than completing the square.) For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k.
