In order to convert a fraction into a decimal, you can do one of two ways. I'll do the manual way, first since that's probably what your teacher would prefer.
First, find something that will multiply in the denominator that will equal 10,100,1000.
In this case, it will be 1,000.
1,000 ÷ 8 = 125.
So, you will multiply both the numerator and the denominator by 125.
3 x 1,000 = 375
8 x 125 = 1,000
Now, you have a BIG fraction of 375/1,000 but it's OKAY! Why? You're almost done.
Take your numerator of 375. Since your denominator has 3 zeros in it, you'll be moving your decimal 3 places to the right (from the imaginary decimal in front of the 3). So, we'll have 0.375.
So, your decimal of 3/8 is 0.375.
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Now, for the easiest way!
You will simply divide 3 ÷ 8 = 0.375
Area of triangle is
A=b•h/2
A=(10x+5)(2x-5)/2
A=20x^2-50x+10x-25/2
A=20x^2-40x-25/2
A=2(10x^2-20x-12.5)/2
cancel 2 in numerator and denominator
A=10x^2-20x-12.5 in^2
Hope this helps
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Answer:
x = 4
Step-by-step explanation:
3x - 1 = 11
3x = 1 + 11
3x = 12
x = 12/3
x = 4
Thus, The value of x is 4
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Answer:
No triangle can be formed with these angles.
Step-by-step explanation:
There must be 180 degrees in a triangle.
32 + 126 + 32
= 126 + 64
= 190 degrees - so this cannot form a triangle.
