Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary.
Therefore 3c = 4d = 180°, c = 60° and d = 45°.
The slope is m=5/4 and the y-intercept is b= -10
Answer:
Largest possible length is <em>21 inches</em>.
Step-by-step explanation:
Given:
Total material available = 60 inches
Length to be 3 more than twice of width.
To find:
Largest possible length = ?
Solution:
As it is rectangular shaped frame.
Let length =
inches and
Width =
inches
As per given condition:
..... (1)
Total frame available = 60 inches.
i.e. it will be the perimeter of the rectangle.
Formula for perimeter of rectangle is given as:

Putting the given values and conditions as per equation (1):

Putting in equation (1):

So, the answer is:
Largest possible length is <em>21 inches</em>.
Answer:
0.84
Step-by-step explanation:
The sine function is a trigonometric function.
We want to evaluate

The sine function can be found on most scientific calculators.
Make sure your calculator is in degree and enter sin 57
It will give you 0.83867
If you correct to the nearest hundredth, you get:
0.84
50 is a composite number. 50 = 1 x 50; 2 x 25; or 5 x 10. Factors of 50: 1, 2, 5, 10, 25, 50.
Prime factorization: 50 = 2 x 5 x 5.