Answer:
(a) AD=6 cm
(b) 66 cm²
(c) 38 cm
Step-by-step explanation:
(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).
Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.
(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²
(c) Perimeter is 7+10+15+6 = 38 cm. Add all the side lengths.
The greatest common factor of the two terms is 33a^3.
With the numbers 66 and 99, the greatest common factor is 33. It is the largest number that divides evenly into both.
For the variables, the most that is in common in both is a^3.
Answer:
ok so first we have to convert this into y intercept
4x-y=4
-4x
-y=-4x+4
*-1
y=4x-4
so the y intercept is -4
Hope This Helps!!!
Answer:
To find the area of she shaded part we first need to find the total of the area.
L x W
8 x 5 = 40 is the total area
Now we need to find the area of the non - shaded part
Since it is a square all sides are equal the short lines sticking from the sides indicate that
2 x 2 = 4
Now we subtract the total area from the non shaded area.
40 - 4 = 36
Step-by-step explanation:
(1 - cos²A) (1 + tan²A) = tan²A
(sin²A)(sec²A) = tan²A
(sin²A)(1/cos²A) = tan²A
(sin²A)/(cos²A) = tan²A
tan²A = tan²A → <u>Proved</u>
