So 1 5/8 + 2/3 = 13/8 + 2/3
convert the fractions to a common denominator
39/24 + 16/24
55/24
=2 7/24 quarts of paint
The number is greater than - 6 2/3 and less than - 6 1/2.
We focus on the 2/3 and 1/2
Since it is a negative number we think of a fraction less than 2/3 and greater than 1/2, because of the negatives.
2/3 is around 0.66, 1/2 is = 0.5, Example is 0.6 = 6/10 = 3/5
A number that fits is -6 3/5.
Check:
- 6 2/3 ≈ -6.66
-6 3/5 = - 6.60
-6 1/2 = -6.50
-6.60 is greater than -6.66, and less than -6.50
Answer:
The sum of the angles in any triangle is 180 degrees. If one of the three angles is 90 degrees (a right angle) the the sum of the other two angles is 90 degrees. Therefore each of the other two angles must be acute.
The statement is TRUE.
Step-by-step explanation:
Answer: See step by step. Replace the x with theta
Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.
We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.
We can find tangent by using the identity
where x is theta.



tan x=
, Tangent in the fourth quadrant is negative so the answer is instead

We can find cotangent by taking the recipocial of tan so

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

We can find sin by doing quoteint identies.



To find csc, take reciprocal of sine.

Answer:
= - x^2 + 4x - 14
Step-by-step explanation:
(2x^2+6x−7)−(3x^2+3x−1)+(x−8)
= (2x^2+6x−7 ) −3x^2 -3x +1 + (x−8)
= (2x^2+6x−7 ) −3x^2 -3x +1 + x−8
= (2x^2+6x−7 ) −3x^2 -2x - 7
= 2x^2+6x−7 −3x^2 -2x - 7
= 2x^2+6x−7 −3x^2 -2x - 7
= - x^2 + 4x - 14