Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)
Answer:
10. Altitude
11. Angle Bisector
12. Perpendicular Bisector
13. Median
Step-by-step explanation:
hope it helps
Answer:
In order to out a fraction in lowest terms, you must divide by the Greatest Common Factor, or GCM, of the numerator and denominator in the fraction. Let's say we have the fraction 25/100. We know that the greastest common factor of 25 and 100 is 25, as 25 ÷ 25 = 1 and 100 ÷ 25 = 4 so 25/100 in lowest terms is 1/4:
25 25 1
___ ÷ ___ = ___
100 25 4
If the GCM of a fraction equals 1, the fraction is simplified. Because the only common factor of 1 and 4 is 1, we know this fraction is simplified.
1 1 1
__ ÷ ___ = ___
4 1 4
Hope this helps <3 Please contact me if your still confused
Answer:
2(4x^2+1)
Step-by-step explanation:
The greatest common factor of 8x^2 and 2 is 2.
We can factor:
2(4x^2+1)
How did we get the expression in the parentheses?
It is just 8x^2 divided by 2 and 2 divided by 2
Hope this helps!
Answer:
I'm just guessing that it is. That question is on my math homework and the definition in the back of my math book says: A decimal in which one or more digits repeat infinitely and I put yes. Because they repeat.