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Zepler [3.9K]
3 years ago
6

AB and AD are tangent to circle C. Find the length of AB. A. 39 B. 16 C. 3 D. 13

Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

B. 16

Step-by-step explanation:

Since AB and AD are tangent to circle C, they equal each other.

2x + 7 = 3x - 9     Make them equal each other

2x + 7 = 3x - 9      Subtract 2x from both sides

7 = x - 9            Add 9 to both sides

16 =  x            

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4. Determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Ierofanga [76]

Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

f\left(x\right)\:=\:\frac{1}{3}x\:+\:5

g(x) = 3x - 15

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

<u>Determining the inverse function of f(x) </u>

A function g is the inverse function of f if for y = f(x), x = g(y)

y=\frac{1}{3}x+5

Replace x with y

x=\frac{1}{3}y+5

Solve for y

y=3x-15

Therefore,

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

4 0
2 years ago
I need to find the volume for number 10
kumpel [21]

Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.


x^2 + 9.5^2 = 19.3^2

x^2 + 90.25 = 372.49

x^2 = 372.49 - 90.25

x^2 = 282.24

x = √282.24

x = 16.8


Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h

r = 1/2 the diameter = 16.8/2 = 8.4

using 3.14 for pi

Volume = 3.14 * 8.4^2 * 9.5

V = 3.14 * 70.56 * 9.5

v = 3.14 * 670.32

v = 2104.8 cubic meters


5 0
2 years ago
What is 5/3 as a percent
IrinaVladis [17]

Answer:

%167

Step-by-step explanation:

5 divided by 3 is 1.67 so times that by 100 and you get %167

4 0
2 years ago
Read 2 more answers
A student saves $3 dollars on August 1, $5 on August 2, $7 on August 3, and so on. How much will she save in August 20 ?
Delvig [45]
Here is your answer

Money saved on each successive day is-

$3, &5, $7....

Clearly it forms an AP,

where

a1= 3

common difference, d= 2

n=20

So,

using formula

Tn= a1+(n-1)d

T20= 3+(20-1)2

= 3+ 19×2

= 3+ 38

=41

So, money saved on August 20= $41

Sum of money saved upto August 20 =
n/2 (a1+T20)
= 20/2 (3+41)
= 10× 44
= $440

HOPE IT IS USEFUL
5 0
3 years ago
Read 2 more answers
Jonas solved an equation incorrectly, as shown below:
alexandr1967 [171]
So first he has to divide both sides by 8
wat
he multiplied the right side by 8 but divided left by 8
that is wrong


answer is 4th option
divid not divide 56 by 8
6 0
2 years ago
Read 2 more answers
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