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2 years ago

Please help !!! I’m stuck

Mathematics

1 answer:

Kruka [31]2 years ago

4 0

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

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Fraction notation percent Simply if possible 83 1/3

Anna35 [415]

Answer:

83.3

Step-by-step explanation:

5 0

2 years ago

The rate at which the temperature is dropping is 6t 5t2 degrees Celsius per hour t hours after sundown. How much had the tempera

Whitepunk [10]

Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>

The rate at which the temperature is dropping is $6t + 5t^2$ degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

$\frac{dT}{dt} = 6t + 5t^2$

Applying <em>separation of variables</em>, we find the solution as follows:

$\frac{dT}{dt} = 6t + 5t^2$

$dT = (6t + 5t^2) dt$

$\int dT = \int (6t + 5t^2) dt$

$T(t) = \frac{5t^3}{3} + 3t^2 + T(0)$

In which T(0) is the temperature at sundown.

In 3 hours, the change will be of:

$C = T(3) - T(0) = \frac{5t^3}{3} + 3t^2|_{t = 3}$

Hence:

$\frac{5(3)^3}{3} + 3(3)^2 = 45 + 27 = 72$

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

You can learn more about differential equations at brainly.com/question/24348029

5 0

1 year ago

The product of three integers x, x+2, and x-5 is 240. What are the integers?

Dafna11 [192]

Answer:

8, 10, 3

Step-by-step explanation:

For finding real solutions to cubic equations and those of higher degree, I find a graphing calculator to be useful. The problem can be cast in the form ...

f(x) = 0

where f(x) is the difference between the product of the integers and 240:

f(x) = x(x +2)(x -5) -240

Then all we need to do is ask the calculator to show the x-intercept. It is x=8.

So, the three integers are ...

x = 8
x+2 = 10
x -5 = 3

7 0

2 years ago

The area of a triangle is 3.6 cm2. If the triangle has a base of 6 cm, what is the height?

Allisa [31]

The area of a triangle can be calculated using the following equation:

A = 1/2 (B x H)

Where B is the dimension of the base and H is the height of the triangle.

Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:

3.6 cm2 = 1/2 (6 cm) (H)

Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm.

7 0

3 years ago

You select a card at random from the cards that make up the word replacement without replacing the card,you choose a second card

serious [3.7K]

Answer:

34/55

Step-by-step explanation:

Find the probability of the opposite; not a single vowel chosen.

So, the consonants are 7, so 7/11 times 6/10, which is 21/55.

Then, just 1 - 21/55 to get 34/55

6 0

3 years ago