Answer:
Step-by-step explanation:
The far right side of the triangle is 17 cm, which is the height.
The base would be 34 minus 17 because whole length of the rectangle is 34 and the triangle covers all but 17 of it.
So then you would take 1/2 of 17.
Then multiply it by 17 to get 160.5
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.

For the painting,

For the frame,

Since she wants to maintain the same ratio; both scale must be the same.
i.e.

Express as fraction


Make w the subject


<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>
Okay, notice one thing right off the bat? 60 degrees on a right triangle (unit circle w/ terminal arm) will create the infamous 30-60-90 triangle.
We can use this to our advantage. Since sin is the y-coordinate on the unit circle. We need to solve for the longest side of a 30-60-90 triangle.
We find that the long side (y) of our 30-60-90 triangle is sqrt(3)/2. Since this is in quadrant 1, we know it is positive.
So -- sin60° = sqrt(3)/2
Answer:
Yes
Step-by-step explanation:
To determine if (1, 2 ) is a solution of the inequality, substitute the coordinates into the inequality and if satisfied then they are a solution, that is
(6 × 1) - 2 = 6 - 2 = 4 > 3
Since 4 > 3 then (1, 2 ) is a solution
Since each pound casts $0.58 and the total spent is $2.03, you divide 2.03 by .58 to find the total amount of pounds.
2.03/.58=203/58=3.5
Therefore, Percy bought 3.5 pounds of tomatoes.