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.
Answer:
4 [miles].
Step-by-step explanation:
1) the condition 'the entire trip took 5 hours' can be written as (where t_us - time spent upstream, t_ds - time spent downstream)
2) but the distance [D] upstream is equal the distance downstream, then the condition above can be written:
3) finally,
D=5*4/5=4 [miles].
Answer:
=2.6984126984
Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve for s, you need to follow these steps.
First multiply by t both sides of the equation.
We get
Now we divide by r, both sides of the equation.
Finallly we obtain:
or