Answer:
4,257 m²
Step-by-step explanation:
step 1
Find the lateral area of the rectangular prism (ottoman)
The lateral area is
LA=PH
where
P is the perimeter of the base
H is the height of the prism
Find the perimeter of the base P
P=2(37+21)=116 cm
we have H=30 cm
<em>Find the lateral area</em>
LA=116(30)=3,480 m²
step 2
Find the area of the top of the ottoman
B=37*21=777 m²
step 3
we know that
The fabric needed to cover the sides and top of the ottoman is equal to sum the lateral area plus the area of the top
3,480+777=4,257 m²
The answer would be $17.32. The tip would be $2.14. And the sales tax would be $0.93.
If you add them altogether you get $17.32
Answer:
-3
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
if we plug in the values and solve, that gets you -3.
We are given proportion as 14/x = 1/2
So first step is to get rid off 2 from denominator,so we multipy both sides by 2
2(14/x) =2(1/2)
28/x =1
Next step is to get rid off x from denominator ,so we multiply both sides of the equation by x
x(28/x) =x(1)
28x/x =x
28 =x
Hence we get value of x =28
So answer is choice d) 28
Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
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∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR = = = 48°