Answer:
20 feet wide, 24 feet long
Step-by-step explanation:
Let x - width, y - length.
The perimeter is given by the formula:
P = 2*(width + length) or using x, y
P = 2*(x + y) = 88
x + y = 44
And we know that the ratio between the sides is 5/6:
x/y = 5/6. x is on top because the length is bigger than the width
x = 5y/6
Plug this in the first expression:
y + 5y/6 = 44. Muliply by 6
6y + 5y = 264
11y = 264
y = 264/11 = 24.
So x = 5(24)/6 = 20
For this case, we know that:
Then, by Pythagorean theorem (right triangle on the right) we have:
So, again using the Pythagorean theorem (right triangle on the left) we have:
Substituting values:
Rewriting:
Answer:
The value of CA is given by:
Step-by-step explanation:
i+h=90
i+3h=210
so 2h=210-90=120
h=60
and i=90-60=30
so initial amount is $30 and hourly rate is $60
Answer:
Number 1 is false.
Step-by-step explanation:
Answer:
The surface area of the shape is 292 in^2
Step-by-step explanation:
Here, we want to find the surface area of the cuboidal shape
Mathematically, the area of a cuboid can be calculated using the formula;
A = 2(lb + lh + bh)
where l is the length which is 7 inches
b is the breadth which is 6 cm
h is the height which is 8 cm
Substituting these values, we have
A = 2((8 * 6) + (7 * 6) + (8 * 7))
A = 2(56 + 42 + 48)
A = 2 * 146
A = 292 in^2
