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2 years ago

25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp

Mathematics

1 answer:

Elanso [62]2 years ago

8 0

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L, of the ramp. If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is $\frac{opposite}{adjacent}$ :

$tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\$

$\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.$

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Find the volume of the solid. Round your answer to the nearest tenth

insens350 [35]

Answer:

Solution given:

Volume of cone=⅓πr²h

Volume of cylinder=πr²h

volume =πr²h=π*(10/2)²*6=471.23mm³

Volume =πr²h=π*8*12.5=314.16in³

volume =⅓πr²h=⅓*π*4²*3=50.26cm³

Volume =⅓πr²h=⅓*π*(8/2)²*12=201.06in³

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3 years ago

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IRISSAK [1]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

$A = Pe^{rt}$

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

$A=2400 e^{0.0168\times 20}$

$=2400 e^{0.336}$

$= 3358.4136$

$\approx 3358$

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3 years ago

There is a large number of cubes in a bag.

Alla [95]

Marked(10)/total = 3/20 (from sample)

total/10 = 20/3 (inverting the above proportion)

total = 10•20/3 = 200/3 ≈ 67

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3 years ago

In some country the budget for defense exceeded the budget for education by $660.4 billion. If x represents the budget for edu

photoshop1234 [79]

Answer:

The budget for defense can be represented as x + 660.4

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Budget for education is $ 660.4 billion less than budget for defense in some country

x = represents the budget for education, in billion of dollars

2. How can the budget for defense be represented?

x = represents the budget for education, in billion of dollars

x + 660.4 = represents the budget for defense, in billion of dollars also

The correct answer is that the budget for defense can be represented as x + 660.4

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3 years ago