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Alex Ar [27]
3 years ago
14

An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians.  Here, r = 9 ft and s = 15 ft.  Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad       180°

------- * ---------- = 95.49°

      3       π rad

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Two lawn care companies are competing for a landscaping contract. Company A charges a $5 daily consulting fee plus $8 per square
gladu [14]
5 + 8s = 15 + 3s
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s = 10/5
s = 2 <=== they will charge the same at 2 sq ft
8 0
3 years ago
Solve for x,y, and z.
Ann [662]

The given triangle is isosceles, so the two remaining angles in the triangle both have measure <em>xº</em>. The interior angles of any triangle sum to 180º, so that

58º + <em>xº</em> + <em>xº</em> = 180º

58 + 2<em>x</em> = 180

2<em>x</em> = 122

<em>x</em> = 61

Angles <em>y</em> and <em>z</em> are supplementary to angle <em>x</em>, so that

<em>xº</em> + <em>yº</em> = 180º

and

<em>xº</em> + <em>zº</em> = 180º

and consequently, <em>y</em> = <em>z</em>. In particular, we get

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<em>y</em> = 119

and so

<em>z</em> = 119

6 0
3 years ago
SOS HELP ASAP
Nitella [24]

Answer:

The answer would be C

Step-by-step explanation:

The only logical reason would be positive because the parabola is opening up. The average rte of change is opening 0.5 per square

7 0
3 years ago
Tina says that 3.4 x 105 is greater than 8.25 x 104. Is she correct? Justify your answer.
Anna71 [15]

Answer:

No, Tina is not correct since 3.4 × 105 = 357 and 8.25 × 104 = 858

6 0
3 years ago
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