The slope is m=5/4 and the y-intercept is b= -10
Answer: The area is 268 cm squared (approximately)
Step-by-step explanation: The area of a parallelogram is given as ;
Area = b x h
Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;
Sin 79 = opposite/hypotenuse
Sin 79 = h/13
By cross multiplication we now have
Sin 79 x 13 = h
0.9816 x 13 = h
12.76 = h
With the vertical height now known, we can calculate the area as follows
Area = b x h
Area = 21 x 12.76
Area = 267.96 cm squared
Answer:
5yz
Step-by-step explanation:
1st expression=10xyz
=<u>5</u>*2*x*<u>y</u>*<u>z</u>
2nd expression=15(y)2 (z)2
=<u>5</u>*3*<u>y</u>*y*z*<u>z</u>
therefore H.C.F=5yz
underlines are taking common.
(7)(6)(2h)(d)
(42)(2h)(d)
(84h)(d)
84hd
The answer is 20%
[(150 - 125) / 125] × 100% = 0.2 × 100% = 20%
hope that i have helped!