We know that
surface area=2*[area of the base]+perimeter of the base*height
find the area of the base
is an equilateral triangle
b=15/3----> 5 in
applying the law of sines to find the area
Area=(1/2)*b²*sin 60°------> area=(1/2)*5²*sin 60°----> 10.8253 in²
alternative method to find the area of the equilateral triangle
find the h value
applying the Pythagoras theorem
h²=5²-2.5²-----> h=√18.75-----> h=4.33 in
area=b*h/2----> area=5*4.33/2----> 10.8253 in²
surface area=2*[10.8253]+15*4-----> 81.65 in²
the answer is
81.65 in²
the length is 3W cm. THerefore, the perimeter is 2*(3W + W) = 8W = 56 So W = 7 cm.
Answer:
X=6
Step-by-step explanation:
5(x+2)=6x+3x−1
<u><em>Step 1: Simplify both sides of the equation.</em></u>
5(x+2)=6x+3x−14
(5)(x)+(5)(2)=6x+3x+−14(Distribute)
5x+10=6x+3x+−14
5x+10=(6x+3x)+(−14)(Combine Like Terms)
5x+10=9x+−14
5x+10=9x−14
<u><em>Step 2: Subtract 9x from both sides.</em></u>
5x+10−9x=9x−14−9x
−4x+10=−14
<u><em>Step 3: Subtract 10 from both sides.</em></u>
−4x+10−10=−14−10
−4x=−24
<u><em>Step 4: Divide both sides by -4.</em></u>
−4x / -4= −24 / −4
x=6
48,240 divided by 412 is 117 with remainder 36.
Answer:
2 solutions:
x=5 and y=7
x=-1 and y=-5
Step-by-step explanation:
y=2x-3
y=x^2-2x-8
y=y so:
2x-3=x^2-2x-8
simplifying to:
x^2-4x-5=0
factoring to:
(x-5)(x+1)=0
x=5 or x=-1
if x=5 then y=2(5)-3=7
if x=-1 then y=2(-1)-3=-5