Answer:
Step-by-step explanation:
area of triangular face = ½·3·4 = 6 cm²
area of 3 by 7 face = 3×7 = 21 cm²
area of 5 by 7 face = 5×7 = 35 cm²
area of 4 by 7 face = 4×7 = 28 cm²
total surface area = 2×6 + 21 + 35 + 28 = 96 cm²
Answer:
w < 0.6
Step-by-step explanation:
In this problem, one is given an algebraic inequality. These types of inequalities can be solved using similar methods that one uses to solve an algebraic expression, in essence, one uses inverse operations. The only major difference between solving algebraic inequalities and algebraic expressions is that when one divides or multiplies by a negative number, one must remember to flip in the inequality sign to maintain the trueness of the equation. In this case, such a rule will not come into play.
7w - 5 < 1 - 3w
Inverse operations,
7w - 5 < 1 - 3w
+3w +3w
10w - 5 < 1
+5 +5
10w < 6
/10 /10
w < 0.6
If you would illustrate the problem, you will be able to
formulate a triangle with the measurement of the hypotenuse (distance between
the two shops) to be missing. Using the Pythagorean Theorem, the formula to
compute for the hypotenuse is:
c = √a^2 + b^2
c = √(20)^2 + (13.5)^2
c = √400 + 182.25
c = √582.25
c = 24.13 km
Therefore, the distance between the two shops
is approximately 24.13 km.
Answer:
D) 65
Step-by-step explanation:
The formula for direct variation is
y = kx
where k is the constant of variation.
If we know y=32.5 and x=5, we can substitute in to calculate k
32.5 = k * 5
Divide each side by 5
32.5/5 = k
6.5 = k
So the equation is
y = 6.5k
Given x =10
y = 6.5*10
y = 65
Answer:
0.45
Step-by-step explanation:
you have to divide 5.40 by 12
