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Advocard [28]
4 years ago
5

Number 11 please help

Mathematics
1 answer:
blagie [28]4 years ago
7 0

When we get tangents or secants or a combination intersecting outside the circle, the intersection angle is half the difference of the arcs.

Here that means C = (1/2) ( arc AE - arc BD)

The total around the circle is 360 degrees so

arc AE = 360 - (25 + 115 + 115) = 105 degrees

C = (1/2) ( 105 - 25 ) = 40 degrees

Answer: B, 40 degrees




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(0, 1) and (1, 0) are the intersection points. The first equation is a circle and the second is a linear function. 
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What is the perimeter of the plot of land rounded to the nearest tenth of a foot? ​
DanielleElmas [232]

Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.

<h3>What is the Distance Formula?</h3>

Distance formula is given as: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

Name the coordinates of the plot of and as follows:

A (0, 120)

B (140, 100)

C (140, 20)

D (0, 0)

Perimeter of the plot of land = AB + BC + CD + AD

AD = |120 - 0| = 120 ft

BC = |100 - 20| = 80 ft

Use the distance formula to find AB and CD:

AB = √[(140−0)² + (100−120)²]

AB = √20000

AB = 141.4 ft

CD = √[(140−0)² + (20−0)²]

CD= √20000

CD = 141.4 ft

Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.

Learn more about the distance formula on:

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8 0
2 years ago
Alberto runs 1 3/4 miles each day. which of the following can be used to find n, the number of miles he will run in a week?
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3 years ago
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Step-by-step explanation:

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Credit cards place a three digit security code on the back of cards. What is the probability that a code starts with the number
yan [13]
<h2>Answer:</h2>

The probability that a code starts with the number 7 is:

                          1/10

<h2>Step-by-step explanation:</h2>

There are total 10 digits:

0   1   2    3    4   5   6   7   8   9

Also, the total number of codes that are possible using these digits are:

                            1000

( Since there are 10 choices for first place, 10 for second and 10 for third as well

Hence, total possibilities are: 10×10×10=1000 )

Also, if the first place of the code is fixed with number 7.

So, we need to chose the digits for second and third place.

Hence, total codes whose first digit is 7 are:

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( Since the choice for first place is fixed and for second and third place we have 10 choices i.e. total such cases are: 1×10×10=100   )

Hence, the probability is calculated as:

            Probability=100/1000

                               =1/10

4 0
3 years ago
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