Answer:
<h2>3,150</h2>
Step-by-step explanation:
We need to find a number that is 3,000 more than 150. To do this set up an equation and let x = the result.
x = 150 + 3,000
x = 3,150
Check
3,150 = 150 + 3,000
3,150 = 3,150 Correct :)
<em>PLEASE MARK BRAINLIEST</em>
Answer:
P=500
Step-by-step explanation:
My reasoning is multiply 0.05 and 2 and you get 0.1. Then you divide 0.1 out of 50 and get 500. Too check the answer you take 500 and multiply it by 0.05 and then multiply it by 2 and you should get an answer of 50 like it says in the equation.
Answer:
x = 6
Step-by-step explanation:
2/3=8/x+6
Using cross products
2 * (x+6) = 3*8
2(x+6) = 24
Divide by 2
x+6 =12
Subtract 6
x = 6
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Which of these is equal to cos 47°?
a. cos 43°
b. sin 43°
c. tan 43°
d. cos 133°
B.....
cos (47°)= sin (90°-47°)=sin (43°) [complementary angles]
Answer B
