These calculations are based on the drawing of the file enclosed.
There are three right triangles.
From the big right triangle:
a^2 + b^2 = 25^2
From the small right triangle on the left side:
(25-x)^2 + 10^2 = a^2
From the small right triangle on the right side
x^2 +10^2 = b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2
=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2
=> x^2 -50x + 100 =0
Use the quadratic formular to find the roots:
x = 2.1 and x = 47.9
Distance from back: 25 - 2.1 = 22.9 ft
Answer: 22.9 ft
<span>m= <span><span><span><span>−5/</span>3 </span></span></span></span><span> ,swnkadkjkkjmd,m,mdas</span>
Perimeter=106ft
Area=448ft^2
Make sure you remember to subtract various values to find the length of missing sides.
Answer:
The integers could be 21 and 22
or -22 and -21
Step-by-step explanation:
If two integers are consecutive, then it means that their difference is just 1
if we have the initial value as x , then the other value could be x-1 or x + 1
let us go with x-1
So the product here is;
x(x-1) = 462
x^2-x = 462
x^2 -x -462 = 0
x^2 -22x + 21x - 462 = 0
x(x-22) + 21(x-22) = 0
(x + 21)(x-22) = 0
x = -21 or x = 22
If x = -21
x -1 = -21-1 = -22
if x = 22
x -1 = 22-1 = 21
Answer:
The bag costs 1500, while the umbrella cost 500
Step-by-step explanation:
Let the cost of the bag be b and the cost of the umbrella be u
Total cost is;
b + u = 2,000 •••••(i)
From the second part of the question;
b = 5u-1000 ••••••(ii)
Substitute ii into i
5u-1000 + u = 2000
6u = 2000 + 1000
6u = 3000
u = 3000/6
u = 500
To get b, substitute the value of u into equation ii
b = 5(500)-1000
b = 2500-1000
b = 1500
