Answer:
12/13, or answer choice B
Step-by-step explanation:
Ok first lets find the lengths of this triangle. We know 2 lengths already, 5 and 12. By using the pythagorean theorem, a^2+b^2=c^2, we can figure out that the third side is 13 units long.
Math:
5^2+12^2=169
25+144=169
And the square root of 169 is 13, meaning that the hypotenuse of the right triangle is 13.
To remember what SIN TAN and COS mean, you can use this helpful phrase: SOH CAH TOA
SOH: It means that SIN is OPPOSITE OVER HYPOTENUSE
CAH: it means that COS is ADJACENT OVER HYPOTENUSE
TOA: It means that TAN is OPPOSITE OVER ADJACENT
because it asks for SIN B, we need to do OPPOSITE OVER HYPOTENUSE.
Because the side opposite to angle B is 12 units, and the hypotenuse is 13 units, the answer is 12 over 13 units, or 12/13.
I hope my answer helped!
If this helped you, please vote brainliest. Thanks!
Associative property is a+(b+c)=(a+b)+c
step1 is commutative property of addition
2nd step is associative property of addition
3rd step is distributive property
4th step is mutliplication or associative property of multiplication
After performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = |x| + 7
First we reflect the function f(x) across the x-axis
Multiply the function by -1
F(x) = -(|x| + 7)
To translated 4 units up add 4 to the function.
g(x) = -(|x| + 7) + 4
Thus, after performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Answer:
║x - 175,000║≤ 20,000
Step-by-step explanation:
Let x be the amount the Fraziers are willing to pay. Since the house costs $175,000 and they are willing to deviate from this price no more than $20,000, so x = $175,000 ± $20,000.
So, x - 175,000 = ± 20000
║x - 175,000║= 20,000
But we require
║x - 175,000║≤ 20,000
which is our required open sentence.
No (random words to reach 20 characters lol)
