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amid [387]
3 years ago
14

If mL DOC = 44º and mL COB = 80°,

Mathematics
2 answers:
Mamont248 [21]3 years ago
5 0
The answer is 80 arc cb has the same measures as the central angle
geniusboy [140]3 years ago
3 0

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

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The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimension
inysia [295]

Answer:

The length of rectangle is 7 cm and width is 2 cm.

Step-by-step explanation:

Given that:

Area of rectangle = 14 square centimeters

The length of a rectangle is 3 centimeters less than five times its width.

Let,

L be the length and W be the width of the rectangle.

L = 5W - 3

Area of rectangle = Length * Width

14 = (5W-3)*W

14=5W^2-3W\\5W^2-3W-14=0

Factorizing the equation;

5W^2-10W+7W-14=0\\5W(W-2)+7(W-2)=0\\(5W+7)(W-2)=0

Either,

5W+7 = 0

5W = -7

W = -7/5

Or,

W-2 = 0

W=2

As width of rectangle cannot be negative, therefore,

Width = 2 centimeters

Length = 5(2) -3 = 10-3 = 7

Hence,

The length of rectangle is 7 cm and width is 2 cm.

4 0
3 years ago
Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard
Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : \mu=\text{38.7 miles }

Standard deviation : \sigma=\text{6.7 miles }

Sample size : n=60

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=32.5

\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93

For x=40.5

\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27

The p-value = P(-0.93

=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302

Hence, the required probability :-0.4302

3 0
3 years ago
A candidate for mayor is calling 882 registered voters to remind them about the upcoming election if the candidate has 49 volunt
MrMuchimi

The number of voters that each volunteer call is 18.

<h3>What is voting?</h3>

It is important to note that voting is done to choose a particular person during elections.

In this case, the candidate for mayor is calling 882 registered voters to remind them about the upcoming election and the candidate has 49 volunteers.

Since they gave same number of voters, this will be:

= Number of voters / Number of volunteers

= 882 / 49

= 18

Learn more about vote on:

brainly.com/question/1330417

#SPJ2

3 0
1 year ago
Solve for angles a and b
balu736 [363]

Answer:

b=42

a=81

Step-by-step explanation:

7 0
3 years ago
Please Hurry) What is the length of side AC of the triangle? □ units. ​
NARA [144]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

\boxed{\mathrm{AC = 25 \:\: units ~}}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~

  • AB = BC

now, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~

  • 5x + 5 = 7x - 1

  • 7x - 5x  = 5 + 1

  • 2x = 6

  • x = 6 \div 2

  • x = 3 \:  \: units

now , let's find the measure of side AC ~

  • AC = 6x + 7

that is ~

  • 6(3) + 7

  • 18 + 7

  • 25 \:  \: units

8 0
3 years ago
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