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Aliun [14]
2 years ago
7

1: 18 is __ % of 30

Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

Answer:

1.  60%

2. 70

3. 8%

Step-by-step explanation:

I attached pictures to show my work (sorry if they’re a bit messy)!

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ASAP: I need as soon as possible with this question I have taken a picture of. If you could tell me how to do it and the answer,
VladimirAG [237]

Answer:

The answer to your question is h = 125.85 ft = 126 ft

Step-by-step explanation:

Process

1.- Determine two equations to solve the problem

    tan 14 = \frac{h}{x}                     (1)

    tan 47 = \frac{h}{x - 386}           (2)

    from (1)                           h = xtan14

    substitute in (2)             tan 47 = \frac{xtan14}{x - 386}

    solve for x                     tan47(x - 386) = xtan14

                                          1.07x - 413.9 = 0.25x

                                          1.07x - 0.25x = 413.9

                                           0.82x = 413.9

                                           x = 413.9/0.82

                                           x = 504.76 ft

2.- Calculate h

                                          h = 504.76 tan 14

                                          h = 125.85 ft = 126 ft

4 0
4 years ago
What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final ans
julia-pushkina [17]

Answer:

210 cm²

Step-by-step explanation:

The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.

Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles

✔️Area of the 2 trapezoid bases:

Area = 2(½(a + b)×h)

Where,

a = 7 cm

b = 11 cm

h = 3 cm

Plug in the values

Area = 2(½(7 + 11)×3)

= (18 × 3)

Area of the 2 trapezoid bases = 54 cm²

✔️Area of Rectangle 1:

Length = 6 cm

Width = 3 cm

Area = 6 × 3 = 18 cm²

✔️Area of Rectangle 2:

Length = 7 cm

Width = 6 cm

Area = 7 × 6 = 42 cm²

✔️Area of Rectangle 3:

Length = 6 cm

Width = 5 cm

Area = 6 × 5 = 30 cm²

✔️Area of Rectangle 4:

Length = 11 cm

Width = 6 cm

Area = 11 × 6 = 66 cm²

✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²

7 0
3 years ago
.109 is what in fraction form?
dezoksy [38]

Answer: 109/1000

.109 can not be reduced, so we must put it in a fraction with 1,000.

So, the fraction would be 109/1000, because we need a denominator as 1,000.

The answer = 109/1000

6 0
3 years ago
Consider the equation below.
Korvikt [17]

Answer:

Equation in square form:

y=3(x+5)^2-4

Extreme value:

(h,k)=(-5,-4)

Step-by-step explanation:

We are given

y=3x^2+30x+71

we can complete square

y=3(x^2+10x)+71

we can use formula

a^2+2ab+b^2=(a+b)^2

y=3(x^2+2\times x\times 5)+71

now, we can add and subtract 5^2

y=3(x^2+2\times x\times 5+5^2-5^2)+71

y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71

y=3(x+5)^2-75+71

So, we get equation as

y=3(x+5)^2-4

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

y=a(x-h)^2+k

where

vertex=(h,k)

now, we can compare and find h and k

y=3(x+5)^2-4

we get

h=-5

k=-4

so, extreme value of this equation is

(h,k)=(-5,-4)

6 0
4 years ago
Read 2 more answers
Revenue
denis23 [38]

Answer:

Step-by-step explanation:

Given that a  small business assumes that the demand function for one of its new products can be modeled by

p=ce^{kx}

Substitute  the given values for p and x to get two equations in c and k

40 = ce^{1200k} \\45 = ce^{1000k}

Dividing on by other we get

\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589

Substitute value of k in any one equation

45 = ce^{-0.589} \\c=45.02651

b) Revenue of the product is demand and price

i.e. R(x) = p*x = 45.02651xe^{-0.000589x}

Use Calculus derivative test to find max Revenue

R'(x) = 45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0
3 years ago
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