Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
Answer:
Since the plane if cutting through the prism to make 5 sides, than the original shape needs to have less than 5.
A prism, is a 3D shape, so you can't have a 2 sided shape.
Now you have a choice of 3+or 4 sides.
A 3 sides shape is a triangle, which also can't be cut into a 5 sided prism, so the answer would need to be 4.
Step-by-step explanation:
Answer:
y = -2(x + 1)^2 + 8
Step-by-step explanation:
The equation of a parabola can be written in the form;
y = a(x-h)^2 + k
where a is the multiplier (h,k) is the vertex
so h = -1 and k = 8
Plug in these values
y = a(x + 1)^2 + 8
So to get the value of a, we use the point where the parabola passes through which is the point (1,0)
Simply substitute the values of x and y
0 = a(1 + 1)^2 + 8
0 = a(2)^2 + 8
-8 = 4a
a = -8/4
a = -2
So therefore the equation of the parabola is ;
y = -2(x + 1)^2 + 8
Answer:
Susan is willing to spend $630.
Step-by-step explanation:
You want to find out 35% of her salary.
First, you need to convert the percentage to a decimal.
35% = 0.35
To find out the maximum amount Susan is willing to pay, we need to multiply 0.35 (35%) by her salary ($1800)
0.35 x 1800 = $630
Answer:
-60, -120, -154
Step-by-step explanation:
-60, -120, -154
because
from 6 to get to 36, it is multiplied by itself.
from 36 to get to 2, it is subtracted by 34.
the pattern continues.
Can I get brainliest please? Thanks! Hope this helps!
