Answer:
16
Step-by-step explanation:
You have: 14 / (7/8)
To divide by fractions, all you have to do is take the reciprocal of the second number, aka flip it
so, if you do that, you get 14 * 8/7
14*8=112, and 112/7 is 16
Answer: 12
Step-by-step explanation:
We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.
For example : For x= 1.5
y = [1.5] =2
For x= 3.64
y = ⌊3.64⌋=4
The given function :
Then, for x= 5.9 , we have
[since [3.9]=4 (least integer function)]
Therefore, the value of f(5.9) is 12
Okay, take a look at diagram 1 (I know it's rubbish I did it on paint :D), this shows all the information you've given in the question. The two coordinates and the distance between them.
Now if we draw additional lines on this diagram, we can make a right-angled triangle (this is on diagram 2). We can also work out the lengths of the additional sides because we know both coordinates at the end-points of the additional lines.
Finally because this is a right-angled triangle, Pythagoras' theorem must apply to its sides meaning



therefore x=5.
We can find the area of the big triangle, and subtract it from the small 4 x 2 triangle.
bh/2
3*8/2
12
bh/2
2*4/4
4
12 - 8
4 unit²
To find the perimeter:
a² + b² = c²
9 + 64 = c²
73 = c²
√73 = c
√73 + 3 + 8 + 2 + 4
√73 + 17
Hope this helps!
Answer:
44+50 =94 in²
Step-by-step explanation:
Trapezoid
A= 1/2h(b1+b2)
A= 1/2*4(7+15)
A=1/2*4(22)
A=44
Rectangle
A=l*w
A=5*10
A=50
44+50 =94 in²