Step-by-step explanation:
I don't know if this is the right way to so it, but I would do it like this
since a triangle has 180 degrees, the angles all have to add up to 180
So 180 = a + b + c
we already know a, its 95
So 180 = 95 + b + c
now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too
180 = 95 + (4x-15) + (4x-15)
now subtract 95 from both sides
85 = (4x-15) + (4x-15)
add the xs and numbers together
85 = 8x - 30
now add the 30 to both sides
115 = 8x
divide by 8
your x is 14 3/8 or 14.375 or 115/8
that's not your angle, that's your x
Answer: He sold 10 pounds of cashews .
Step-by-step explanation:
Since we have given that
Selling price of walnuts = $4.00 a pound
Selling price of cashews = $7.00 a pound
Number of pounds of walnuts = 10
Let number of pounds of cashew be x
Total price at which he sold a mixture = $5.50
According to question,
Hence, he sold 10 pounds of cashews .
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
All you need to do for angles like GBH is work out the angle at point B. With questions like this, work out the angle at the letter in the middle.
Answer:
10-1/3x=4
Step-by-step explanation:
10 minus is 10-
1/3 of a number is 1/3x
is 4 means =4
10-1/3x=4
