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Furkat [3]
3 years ago
13

Find the length of the​ arc, s, intercepted by the given central​ angle, thetaθ​, in a circle of​ radius, r. θ=30 ​rad; r=18 m.

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

540 m

Step-by-step explanation:

We are given that

Central angle,\theta=30rad

Radius of circle=18 m

We have to find the length of the arc s.

We know that

Length of arc,s=r\theta

Using the formula then, we get

Length of arc,s=18\times 30=540 m

Hence, the length of arc=540 m

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Select the correct answer.
aleksley [76]

Answer:

$24,890.46, $25,109.59

Step-by-step explanation:

Given:

n = 48, the sample size

m = $25,000, th sample mean

σ = $3000, the maximum variance

The standard deviation is

s = √σ = √(3000) = 54.772

As a rule of thumb, the range is 4 times the standard deviation. Therefore the range is

R = 4*54.772 = 219.09

Half the range is

R/2 = 219.09/2 = 109.45

The required  range is

(25000-109.45, 25000+109.45) = (24890.46, 25109.54)

Answer: $24,890.46, $25,109.54

3 0
2 years ago
(C) A bakery sells 9 types of sandwiches. Here are their calorie amounts: 562.568. 590. 599. 611.621. 623. 641, 938. Which measu
Ludmilka [50]

Answer:

611

Step-by-step explanation:

The mean is 632.9 which is a lot higher than 611, and is actually higher than the penultimate value 632, and if presented as a general single value, it may mislead customers into thinking that the sandwiches have a high calorific value. We don’t know how many sandwiches of different types there are, and there may only be a few with high values. So I would use the median 611 as a typical value for the number of calories.

6 0
2 years ago
En una pasteleria realizan 15 posteles cada 30 min
artcher [175]

Answer:

60

Step-by-step explanation:

había multiplicado 4 y 15 espero que esto ayude

4 0
3 years ago
In XYZ, mX=90 and mY=30.In TUV,mU= 30 and mV=60. Which is true about the two triangles? XYZ=TUV, XYZ= VUT,No congruency statemen
Flauer [41]

Answer:

No congruency statement can be made because the side length are unknown.

Step-by-step explanation:

The sum of the measures of all interior angles in a triangle is always 180°.

In triangle XYZ,

m\angle X=90^{\circ}\\ \\m\angle Y=30^{\circ},

then

m\angle X+m\angle Y+m\angle Z=180^{\circ}\Rightarrow m\angle Z=180^{\circ}-90^{\circ}-30^{\circ}=60^{\circ}

In triangle TUV,

m\angle U=30^{\circ}\\\\m\angle V=60^{\circ},

then

m\angle T+m\angle U+m\angle V=180^{\circ}\Rightarrow m\angle T=180^{\circ}-30^{\circ}-60^{\circ}=90^{\circ}

We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.

6 0
3 years ago
Read 2 more answers
I need help in the middle one
azamat
Which one is the middle one ?
4 0
3 years ago
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