Answer:
16,800 in^3
Step-by-step explanation:
Volume of a box = length x width x height
or base area x height
672 x 25 = 16,800 in^3
Answer:
Step-by-step explanation:
A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...
-2x
You want that product greater than 30. The symbol for "greater than" is >, so you have ...
-2x > 30 . . . . the desired inequality
__
The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."
x < 30/(-2)
x < -15 . . . . . . the desired solution
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<em>Additional comment</em>
It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.
Consider ...
1 < 2
-1 > -2
Product= multiplication
s= a number
is= equal sign
3/4s= 3/5
divide both sides by 3/4
s= (3/5) / (3/4)
to divide fractions, multiply by the reciprocal/inverse of 3/4
s= 3/5 * 4/3
multiply numerators; multiply denominators
s= (3*4)/(5*3)
multiply within parentheses
s= 12/15
simplify by 3
s= 4/5
ANSWER: 4/5
Hope this helps! :)
Answer:
6.3 ft
Step-by-step explanation:
The ladder lying on the wall with an elevation of 39° forms a right angled triangle.
Hypotenuse = length of ladder = 10 ft
Opposite = x = ?
θ = 39°
Use trigonometric ratio formula to find, x, which is how far the ladder goes up the wall.
The trigonometric ratio formula to use is:
sin(θ) = opposite/hypotenuse
Sin(39) = x/10
Multiply both sides by 10
10*sin(39) = x
x = 10*sin(39)
x = 6.29 ≈ 6.3 ft (to nearest tenth)
