Area of rectangle = 12 x 15
= 180 ft
Area of triangle = 1/2(15)4
= 30 ft
Area of entire composite figure= 180+30
= 210 ft
First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
9514 1404 393
Answer:
Step-by-step explanation:
The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.
__
∆ABC is transformed by a <u> clockwise </u> rotation <u> 90 </u> degrees with a center at the <u> origin </u>.
Answer:
.13 dollars/ ounce
Step-by-step explanation:
Take the prices and divide by the number of ounces
3.12 dollars/ 24 ounces
.13 dollars/ ounce
Answer:
Step-by-step explanation:
Given the values for the leg and hypotenuse:
a (leg) = 6 cm
c (hypotenuse) = 16 cm
Use the Pythagorean Theorem to find the value of the other leg, x:
