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PIT_PIT [208]
3 years ago
6

A construction company is hired to build a wheelchair ramp for a restaurant. The ramp connects the handicap parking space (point

A) to the top of the porch of the restaurant (point B) that is 4.5 feet higher than the ground level below it (point C making a right triangle ABC. The building regulations require the ramp angle to be 8 degrees, meaning angle A must be 8 degrees.
1. On a sheet of paper, draw the right triangle of the ramp and label the sides and angle A. Indicate which side is 4.5 ft.
2. Use the right triangle trigonometry and calculate the length of the ramp (sid AB). Show your work on the paper.

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

1. diagram in the attachment

2. AB = 32.3 ft

Step-by-step explanation:

2. from the diagram:

sin \theta = \frac{opposite}{hypotenuse}\\sin (8) = \frac{4.5}{AB} \\AB = \frac{4.5}{sin(8)} \\AB = \frac{4.5}{0.1392} \\AB = 32.33ft

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alexira [117]

Hi there,

Recall how 7 packs for gum sell for $29.33.

Before we can calculate how much it would cost to sell 3 packs of gum, we must calculate how much it would first cost to sell 1 pack of gum.

The cost of 1 pack of gum is the current total cost divided by the total amount of gum packs you receive at that price.

In this case, the total cost is $29.33, and we receive 7 gum packs at that price.

Therefore, the cost of 1 pack of gum is \frac{29.33}{7}, which equates to $4.19.

We now know that each pack of gum costs $4.19.

Hence, 3 packs of gum would cost three times that price.

4.19 * 3 = 12.57

The cost of 3 packs of gum is $12.57.

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5 0
3 years ago
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Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average
dusya [7]

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

Population in US = 290.9 million.

= 290,900,000

Average amount spent per person on health care = Total health care cost in US / Population in US

= 1,700,000,000,000 / 290,900,000

= $5843.9326228944

Approximately,

$5,843.9

To the nearest whole number

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Hi, please help me with this math problem, I need to submit rly quick, thx.
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Answer:

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Step-by-step explanation:

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I have $1500 to invest in an account that pays 1.25% compounded continuously. How much money will I have after 10 years?
S_A_V [24]

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3 years ago
Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+
irinina [24]

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\   ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\    ---------------------

Conclusion:

From above we can conclude that the below expressions are factored completely

16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3)

6 0
3 years ago
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