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icang [17]
3 years ago
11

The center of a circle lies on _____.

Mathematics
1 answer:
algol [13]3 years ago
4 0
<h2>Answer:</h2>

A) every diameter

<em>The center of a circle lies on </em><em>every diameter.</em>

<h2>Explanation:</h2>

B) The circle: A circle is a two-dimensional shape where all points are the same distance from the center. So this definition doesn't match the definition of the center of the circle. The center is just a point not several ones.

C) A tangent line: obviously this definition is false. A tangent line is a line not a point.

D) Every chord: A chord is any line segment between two points on a circle. The only chord that passes through is the diameter. So this definition does not include all the chords of a circle

A) Every diameter: This is the correct option! A diameter is any chord that <em>passes through the center</em>.

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A cable 19 m long runs from the top of a utility pole to a point on the ground 10 m from the base of the pole. How tall is the u
Leviafan [203]

Answer:

16.2 m

Step-by-step explanation:

First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so

a²+b²=c², with c being the side opposite the right angle (the cable), getting us

10²+(length of pole)² = 19²

19²-10²=(length of pole)²

= 261

square root both sides to isolate the length of the pole

length of pole ≈ 16.2 m

5 0
3 years ago
Daniel thinks of a number and subtracts 2
Tatiana [17]

Answer:

the number is 126

Step-by-step explanation:

1) multiply each side by 32: (n-2) / 32 = 4

2) subtract 2 from each side: n-2 = 128

3) n = 126

7 0
3 years ago
Read 2 more answers
The crew on a ship is made up of 8 men. The rest are women. 25% of the crew are men. How many people are on the crew?
Ivan

Answer:

32 people are on the crew

Step-by-step explanation:

If 8 people equal 25%, you can multiply it by 4 to get 100%. 24 people are women and 8 are men on the crew.

4 0
3 years ago
Given the triangle below, what is m &lt; b, rounded to the nearest tenth?
ahrayia [7]

Option A:

m∠B = 42.1°

Solution:

Given data:

b = 18, c = 15 and m∠C = 34°

Using sine formula:

$\frac{b}{\sin B}=\frac{c}{\sin C}

Substitute the given values.

$\frac{18}{\sin B}=\frac{15}{\sin 34^\circ}

Do cross multiplication.

${18}  \times {\sin 34^\circ}={15}  \times{\sin B}

Divide by 15 on both sides.

$\frac{{18}  \times {\sin 34^\circ}}{15} =\frac{{15}  \times{\sin B}}{15}

$\frac{{6}  \times0.559}{5} =\sin B

$0.6708=\sin B

$\sin ^{-1}0.6708= B

42.1^\circ =B

Switch the sides.

m∠B = 42.1°

Option A is the correct answer.

3 0
3 years ago
The number of bacteria in a sample after ex days is represented using the equation D equals 50,00(1.05) to the power of X by wha
Nana76 [90]

Answer:

Step-by-step explanation:

Given that :

Change in population per day is Giveb by the exponential equation : 50,00(1.05)

7 0
3 years ago
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