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Ierofanga [76]
2 years ago
11

How to do this can you explain it step by step

Mathematics
1 answer:
Lisa [10]2 years ago
6 0

OA and OC are radii of the circle. Hence, OA = OC. So if AO = 40, then OC = 40.
Length of BO = 40 + 45
                       = 85
Using the Pythagoras theorem, you can find out the length of AB since tangents to the circle always have an angle of 90 with the circle.
AB^2 = BO^2 + AO^2
AB^2 = 85^2 + 40^2
AB^2 = 7225 + 1600
AB^2 = 8825
AB = root of 8225
AB = 90.69 to 2 decimal places.

Hopefully this helped :)

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What value of n solves the equation <br><br> 3n=1/81<br><br> N=___
Radda [10]

3n = 1/81; divide both sides by 3 to isolate n:


3n/3 = 1/81 divided by 3. Remember that when you divide, you use the reciprocal and multiply instead!!


n = 1/81(1/3) = 1/243. Now plug 1/243 back in for n, and 3/243 is equivalent to 1/81

7 0
3 years ago
I need to find the answer to this question and please explain how.
deff fn [24]

Among the given statements, the true statements are:

  • If a number is divisible by 3 and 4, then it is divisible by 12.
  • The number 119 is a composite number.

In the question, we are asked for the true statements among the given options:

1. All even numbers are composite numbers.

Answer - False

Reason - 2 is an even number, which is not a composite number.

2. If a number is divisible by 3 and 4, then it is divisible by 12.

Answer - True

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 3 and 4 is 12.

3. All prime numbers are odd numbers.

Answer - False

Reason - 2 is a prime number, which is not odd.

4. The number 119 is a composite number.

Answer - True

Reason - The number 119 is a composite number, as it is not a prime number, as it is divisible by 7 and 17 too, other than 1 and itself.

5. 12 is a factor of 6.

Answer - False.

Reason - When 6 is divided by 12, the integral quotient that we get is 0, and the remainder is 6, but for any number x, to be a factor of y, on dividing y by x, the remainder should be 0.

6. If a number is divisible by 6 and 4, then it is also divisible by 4.

Answer - False

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 6 and 4 is 12.

Thus, a number divisible by 6 and 4 is divisible by 12 but not necessarily by 24. Example 12 is divisible by both 6 and 4 but not divisible by 24.

Thus, among the given statements, the true statements are:

  • If a number is divisible by 3 and 4, then it is divisible by 12.
  • The number 119 is a composite number.

Learn more about divisibility at

brainly.com/question/26789053

#SPJ9

8 0
1 year ago
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown
arsen [322]

Option C:

A triangle that does not have  the same dimension as one of the sides of pyramid.

Because....

There is a rectangular Pyramid, which is sliced perpendicular to its base and through its vertex.

6 0
2 years ago
Read 2 more answers
Which of the following is the discriminant of the polynomial below x^2+4x+5
steposvetlana [31]

Answer:

\huge\boxed{\sf Discriminant = -4}

Step-by-step explanation:

Comparing it with quadratic equation ax^2 + bx + c = 0, we get:

a = 1 . b = 4 and c = 5

So,

Discriminant = b^2-4ac

D = (4)²-4(1)(5)

D = 16 - 20

D = -4

Hence,

Discriminant = -4

\rule[225]{225}{2}

Hope this helped!

<h3 /><h3>~AH1807</h3>
4 0
2 years ago
Amy has 3 children, and she is expecting another baby soon. Her first three children are girls. Is the sex of the fourth baby de
Masteriza [31]

Answer:

I would say D.) is the best choice in this situation, The amount of female children you have does not determine the Gender that your child will be, The kids have nothing to do with the situation, The Father and Mother are what determine the Gender.

4 0
2 years ago
Read 2 more answers
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