sauidhew
Step-by-step explanation:
i just know trust me
ANSWER
the area of the trim around the glass in the window is option ( D)
i.e (x²+7x+3)
REASON
As given in the question
A window frame has a length of (5x+3) inches an a width of (x+6) inches.
As the shape of the window in the form of rectangle.
Formula
Area of the rectangle = length × breadth
put the value in the above equation
we get
Area of window = (5x+3)× ( x + 6)
= 5x² + 33x + 18 inches²
As given in the question
The area of the glass in the window is (4x²+26x+15) square inches.
Area trim around the glass in the window = area of the window - area of the glass.
put the value
we get
= ( 5x² + 33x + 18 ) - ( 4x²+26x+15)
= 1x²+ 7x + 3 inches²
therefore the correct option is (D)
Hence proved
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
I believe this should just be equal to<span>
9π+5e−<span>(<span>⌊9π+5e⌋</span>)</span>=9π+5e−41</span>
The first element in your sum should be the first digit after the decimal point times .1, so you have
.8
The next element in the sum is the second digit after the decimal place times .01, so you get<span>
.8+.06=.86
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Answer:
Step-by-step explanation:
The given figure is an hexagonal pyramid. It has a hexagonal base and six triangular lateral faces. The formula for determining the surface area of the pyramid is expressed as
Surface area = 3ab + 3bs
Where
a represents the apotherm which is the distance from each side of the hexagon to the center.
b represents the base length
s represents the slant height of the hexagonal base.
From the information given,
a = 5.2 cm
b = 6 cm
s = 12.2 cm
Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2) = 93.6 + 219.6 = 313.2 cm²
