Answer:
The length of the flagpole be 41.2 ft .
Option (A) is correct .
Step-by-step explanation:
As given
The angle looking up at the sun is 70°.
A flagpole casts a shadow of 15 ft .
Now by using the trignometric identity .
BC = 15 ft
tan 70° = 2.75 (Approx)
AB = 2.75 × 15
= 41.2 ft
Therefore the length of the flagpole be 41.2 ft .
Option (A) is correct .
Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.
Answer:
-x³ + 5y + 3
Step-by-step explanation:
It helps to rewrite the given polynomial according to its degree (exponent), in <u>descending</u> order. Also, for variables without a coefficient, it helps to include "1" with it to make it less confusing when combining like terms.
- x³ + 3y + ( 1 )y + ( 1 )y + 5 + 2 - 4
One way to simplify a polynomial is to combine the like terms if there are any. Two or more terms in a polynomial are like terms if they have the same variable(s) with the same exponent.
- x³ is the only term with an exponent of 3, so we wouldn't have to combine it with other terms. We need to combine the terms with the variable "y," as they have the same degree of 1.
- x³ + 5y + 5 + 2 - 4
Lastly, combine the constants (5 + 2 - 4):
- x³ + 5y + 3
Please mark my answers as the Brainliest if you find my explanations helpful :)
Answer:
= 
Step-by-step explanation:
Differentiate xy using the product rule, then
Given
x - y = xy
1 - = x. + y. 1 = x + y ( subtract 1 from both sides )
- = x + y - 1 ( subtract x from both sides )
- - x = y - 1 ( multiply through by - 1 )
+ x = 1 - y
(1 + x) = 1 - y ← divide both sides by (1 + x)
=
