A: -vp + 30 < 45
Subtract 30 from both sides.
-vp < 15
Divide both sides by -v.
p > -15/v
( when dividing a negative, the < sign must be changed to >)
B. 3w - 6r = 30
Subtract 3w from both sides.
-6r = -3w + 30
Divide both sides by -6
r = (-3w + 30)/ -6
simplify the right side
r = (w - 10)/2
OR
r = (-3w/-6) + (30/-6)
r = w/2 - 5
Answer:
The surface area of given design is 197 in².
Step-by-step explanation:
All the phases expect the side phases are rectangles.
The area of rectangle = Length × Breadth.
Top phase area = 5 × 5=25 in.
Bottom phase area = 9 × 5=45in.
Left Phase area = 5 × 5 =25in.
Right Phase area = 6.4 × 5=32in.
Side phases are of equal area and of the shape quadrilateral.
Area of quadrilateral given = Area of rectangle + Area of triangle
= 5 × 5 + (1/2) × 4 × 5
= 35 in.
Total Surface area = Top phase area + Bottom phase area + Left Phase area + Right Phase area + 2×( Side Phase Area)
= 25+45+25+32+(2×35)
= 197 in².
Answer:
Step-by-step explanation:
It is not a function. (1,1) and (1,-4) are both points on the graph.
Answer:
35.09
Step-by-step explanation:
From the question given above, the following data were:
Opposite = 12
Hypothenus = X
Angle θ = 20 °
The value of x can be obtained by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 20 = 12 / X
0.342 = 12 / X
Cross multiply
0.342 × X = 12
Divide both side by 0.342
X = 12 / 0.342
X = 35.09
Thus, the value of X is 35.09