Answer:

Step-by-step explanation:
Given


Required
Determine UV
From the question, we have

Make UV the subject of formula

Substitute 11 and 13 for VW and UW, respectively


Answer:
6084
.
Step-by-step explanation:
Please find the attachment.
We have been given that the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184
and the area of the A/C building is 900
.
We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.
Upon substituting our given information in Pythagoras theorem, we will get:


Therefore, the area of electrical building is 6084 square feet.
Area of rect. = 5 x 7 = 35
area of triangle = 1/2(2)(7) = 7
area of figure = 35 + 7 = 42
answer
42 <span>units²</span>
Answer:
53.54m
Step-by-step explanation:
Using the formulas
A=πr2
d=2r
Solving for d
d=2A
π=2·2251
π≈53.53562m
Answer:
Part a) Option d
Part b) Option a
Step-by-step explanation:
Part a
if we look at the options given and the data available
Option a) x^4+9
Putting x= 2 we get (2^4) + 9 =25
Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option
Option b) (4^x)+9
Putting x= 2 we get (4^2) + 9 =25
Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option
Option c) x^5
Putting x= 2 we get (2^5) =32 but f(x) =25 so not correct option
Option d) 5^x
Putting x= 2 we get (5^2) =25
Putting x= 3 we get (5^3) =125
Putting x= 4 we get (5^4) =625
So Option d is correct.
Part (b)
3(2)^3x
can be solved as:
=3(2^3)^x
=3(8)^x
So, correct option is a