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mars1129 [50]
3 years ago
7

What is the area of circle with a diameter of 22 ft? (use 3.14 for pi; show your work in numbers)

Mathematics
1 answer:
wel3 years ago
4 0

Answer:

69.08

Step-by-step explanation:

π×d

3.14×22=69.08

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suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh
sveta [45]
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.

How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

(2.6)² + (8.1)² = (8.6)²

Performing the necessary calculations, we have:

6.76 + 65.61 = 73.96
72.37 ≠ 73.96

Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
3 0
3 years ago
A plane takes 12 hours to fly 80,000 km. What is the plane's speed?
Maksim231197 [3]

Answer:

80000/12 = 6,666.666666666667 km/hr

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maxi
hram777 [196]

Answer:

Answer C:  g(x)

Step-by-step explanation:

I used a graphing calculator to graph f(x) = -x^2 + 4x - 5, and by doing so I immedately saw that the vertex of f(x) is at (2, -1).

The absolute max of g(x) is approximately (3.25, 6.1).

The absolute max of f(x) is approximately (2, -1).

Since the y-coordinate of the absolute maximum of g(x) is greater than the y-coordinate of the absolute maximum of f(x), we conclude that Answer C is correct:  g(x) has the greater absolute maximum

8 0
3 years ago
Solve the quadratic inequality
RUDIKE [14]

Answer:

C: x > 4

none of the others

4 0
2 years ago
What is the slope of a line that goes through the points (1, -5) and (-3, 2)?
Gnom [1K]
Use the slope formula
y sub 2-y sub 1. all over
x sub 2-x sub 1.
so
2+5
-3-1
7/-4
aka -7/4
5 0
3 years ago
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