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denis-greek [22]
4 years ago
5

Use calculus to find the volume of the following solid S: The base of S is the triangular region with vertices (0, 0), (3, 0), a

nd (0, 2). Cross-sections perpendicular to the y-axis are isosceles triangles with height equal to the base.
Mathematics
1 answer:
juin [17]4 years ago
4 0

The Olmecs (/ˈɒlmɛks, ˈoʊl-/) were the earliest known major civilization in Mesoamerica following a progressive development in Soconusco. They lived in the tropical lowlands of south-central Mexico, in the present-day states of Veracruz and Tabasco. It has been speculated that the Olmecs derive in part from neighboring Mokaya or Mixe–Zoque.

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A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank
Likurg_2 [28]

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

6 0
3 years ago
Line l bisects PQ at point M. Find value of X
Vanyuwa [196]

Answer:

x = \frac{18}{7}

Step-by-step explanation:

Since l bisects PQ at M then M is the midpoint of PQ, hence

PM = MQ, that is

5x - 7 = 11 - 2x ( add 2x to both sides )

7x - 7 = 11 ( add 7 to both sides )

7x = 18 ( divide both sides by 7 )

x = \frac{18}{7}

7 0
4 years ago
After how many hours is the battery power at 75% if the battery decreases by 20% per hour
Lady_Fox [76]

Answer:2.5

Step-by-step explanation:

Answer:

If the battery starts completely charged then after one hour it will be at 80% so at two hours it will be at 60. and there is 60 minutes in one hour so it goes down 10% in 30 minutes so it goes down 5% in 15 so it goes down 2.5% in 7.5

7 0
4 years ago
Question 4 (3 points)<br> It take Andre 4 minutes to swim 5 laps.How many minutes per lap is that?
JulsSmile [24]

Answer:

0.8 minutes

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The length of one leg of a right triangle is 7 cm more than that of the other leg. The length of the hypotenuse is 3 cm more tha
Lady bird [3.3K]

Answer:

The lengths are 5, 12, and 13.

Step-by-step explanation:

Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.

The Pythagorean Theorem may be used to find the lengths.

a^{2} + b^{2} = c^{2}  a, b are the short and long lengths and c is the hypotenuse

→ x^{2} + (x+7)^{2} = (2x+3)^{2}

→ x^{2} + x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} - 2x - 40 = 0

→ x^{2} - x - 20 = 0

→ (x-5)(x+4) = 0

→ x = 5 (The length cannot be negative)

The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.

6 0
3 years ago
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