Answer:
x = 24 , y = 19
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , then
2x - 8 = x + 16 ( subtract x from both sides )
x - 8 = 16 ( add 8 to both sides )
x = 24
and
2y = y + 19 ( subtract y from both sides )
y = 19
Answer:
a. 16
Step-by-step explanation:
area of a triangle=1/2(bh). In this case, b=10 and h=3 1/5
multiply 10 and 3 1/5 to get 32
multiply 32 by 1/2 to get 16.
Answer:
so the answer will be 1
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 5 hours.
An auxilary pump can empty the tanker in 14 hours.
If the main pump is started at 7pm, when should the auxilary pump be started
so that the tanker is emptied by 11pm?
:
Let t = no. of hrs to run the Aux pump
:
The main pump will run 4 hr (7 - 11 pm)
:
Let the completed job = 1; (an empty Tanker)
:
The shared work equation
4%2F5 + t%2F14 = 1
Multiply equation by 70 to get rid of the equation, results:
14(4) + 5t = 70
56 + 5t = 70
5t = 70 - 56
5t = 14
t = 14%2F5
t = 2.8 hrs to run the aux pump
:
2.8 hr = 2 + .8(60) = 2 hrs 48 min
:
Subtract 2:48 from 11:00 = 8:12 PM start the aux pump
;
;
Check solution
4/5 + 2.8/14 =
.8 + .2 = 1
Answer:
(x + 5)² + (y - 7)² = 13
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 5, 7) and r =
, thus
(x - (- 5))² + (y - 7)² = (
)² , that is
(x + 5)² + (y - 7)² = 13 ← equation of circle
Answer:
11 is your corect awnser neess to be 20 characters
Step-by-step explanation:
5 times 11 is 55