Answer:
25 square yards
Step-by-step explanation:
We assume that "fits neatly" means "fills" so that the area of the painting is the same as the area of the square. Put the numbers in the formula and do the arithmetic.
A = (5 yd)² = 5² yd² = 25 yd²
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
So the formula you have to do is A= (pie)(radius)(squared)
divide 6.7 by 2 to find the radius which is 3.35
now do 3.35 * 3.35 ( we are squaring it) which = 11.225
now 11.225 times PIE is 35.264377537
so the answer is 35.264377537
hope that helped!
Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $
The total estimated cost is $9,768
<h3>What is the total estimated cost?</h3>
The total estimated cost of the job can be found by the formula:
= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit
The total estimated cost is therefore:
= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700
= 1,800 + 4,000 + 3,268 + 700
= $9,768
Find out more on total estimated cost at brainly.com/question/20950074.
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<span>3sinx+4cosx=5
=> 3/5 sinx +4/5 cosx = 1
let cosA=3/5 => sinA=4/5
=> cosAsinx + sinAcosx = 1
=> sin(x+A) = 1
Now,
4sinx - 3cosx
= 5(4/5sinx - 3/5 cosx) [multipying numerator and denominator by 5]
= 5(sinAsinx - cosAcosx)
= -5{cos(x+A)} = -5[root{1-(sin(x+A)^2)}] = -5 x 0 = 0 Ans 0
TRICK: if asinx+bcosx is given then multiply numerator and denominator by root(a^2 +b^2)
this method is useful in many questions </span>
