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3 years ago

1

Mathematics

1 answer:

kherson [118]3 years ago

7 0

Answer:

6000cm

Step-by-step explanation:

multiply all figures given

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Here's another Math one worth 10.

tia_tia [17]

<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The short leg is </span>the side opposite the 30 degree angle. If the short leg =x, then the hypotenuse = 2x

The ratio of the short leg to the hypotenuse in the given triangle is cos(60°)

$
cos(60^o) = \frac{adjacent \ side}{hypotenuse } = \frac{x}{2x} = \frac{1}{2}$

Answer is C. 1:2

7 0

3 years ago

Find the surface area of the regular pyramid.

horsena [70]

Step-by-step explanation:

13+5+5+4.3

4 0

3 years ago

the temperature of a cup of coffee obeys newton's law of cooling. The initial temperature of the coffee is 150F and 1 minute lat

natka813 [3]

Answer:

Newton's law of cooling says that:

T(t) = Tₐ + (T₀ - Tₐ)*e^(k*t)

or:

$\frac{dT}{dt} = -k*(T - T_a)$

in the differential form.

where:

T is the temperature as a function of time

Tₐ is the ambient temperature, in this case, 70F

T₀ is the initial temperature of the object, in this case, 150F

k is a constant, and we want to find the value of k.

Then our equation is:

T = 70F + (150F - 70F)*e^(k*t)

Now we also know that after a minute, or 60 seconds, the temperature was 135F

then:

135F = 70F + (150F - 70F)*e^(k*60s)

We can solve this for k:

135F = 70F + 80F*e^(k*60s)

135F - 70F = 80F*e^(k*60s)

65F = 80F*e^(k*60s)

(65/80) = e^(k*60s)

Now we can apply the Ln(x) function to both sides to get:

Ln(65/80) = Ln(e^(k*60s))

Ln(65/80) = k*60s

Ln(65/80)/60s = k = -0.0035 s^-1

Then the differential equation is:

$\frac{dT}{dt} = -0.0035 s^-1*(T - 70F)$

8 0

3 years ago

Which expressions below are equivalent to the expression -8(4x - 9y) + 8x - 4y? Select all that apply.

lesya [120]

It’s both A and E, you can simplify the equation to E, then you can solve for A

8 0

3 years ago

The difference between 9 thirty-sevens and 8 thirty-sevens

romanna [79]

9 thirty-sevens will be 37 × 9 = 333
8 thirty-sevens will be 37 × 8 = 296
333 - 296 = 37

I don't think it is nine hundred thirty-seven and eight hundred thirty-seven. Word sevens has s.

4 0

3 years ago

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