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3 years ago

I’ll give brainliest! Can someone help me with this please!!!

Mathematics

2 answers:

tatiyna3 years ago

6 0

Answer:

360 ft.

Step-by-step explanation:

You multiply the number of total yards, which is 120, by 3 to get feet.

Agata [3.3K]3 years ago

5 0

Answer:

120 yards

Step-by-step explanation:

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A cup of coffee at 93 degrees Celsius is placed in a room at 23 degrees Celsius. Suppose that the coffee cools at a rate of 1 de

Alinara [238K]

Answer:

Step-by-step explanation:

The rate of change of temperature of the coffee with respect to time is expressed by the differential equation

dT/dt=k(T−A) when k = -1 and A = 23. The equation will become:

dT/dt = -(T-23)

If the coffee cools at the rate of 1°C per minute, then dT/dt = -1 and T = 70

Substituting into the equation:

-1 = k(70-23)

-1 = 47k

k = -1/47

k = -0.0213

Substituting k = -0.0213 into the original equation, the differential equation will be:

dT/dt=k(T−A)

dT/dt = -0.0213(T-23)

dT/dt = -0.0213T+0.489

To get the value of T, we will use variable separable method

dt = dT/-0.0213T+0.489

Integrate both sides

t = -0.0213ln(-0.0213T+0.489)

At t = 1 minute

1 = -0.0213ln(-0.0213T+0.489)

1/-0.0213 = ln(-0.0213T+0.489)

-46.95 = ln(-0.0213T+0.489)

Apply exp to both sides

e^-46.95 = e^ln(-0.0213T+0.489)

4.073×10^-21= -0.0213T+0.489

-0.0213T = 4.073×10^-21-0.489

-0.0213T = -0.489

T = 0.489/0.0213

T = 22.96°C

5 0

3 years ago

Find the value of x in the following equation: x⁄2 + 2x⁄5 = 18.

butalik [34]

Answer:

x = 20

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

8 0

3 years ago

Read 2 more answers

Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Why

faust18 [17]

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = $\frac{y2 - y1}{x2 - x1}$

Substitution

slope = $\frac{4 - 2}{-1 - 4}$

Simplification and result

slope = $\frac{-2}{5}$

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

4 0

4 years ago

The angle measures of a triangle are in a ratio of 4 : 6 : 10. what type of triangle is this?

melomori [17]

$4x+6x+10x=180$

$20x=180$

$x=9$

So, the angles are:

$4(9)=36$
$6(9)=54$
$10(9)=90$

It's a right triangle.

6 0

3 years ago

Solve the following:

shtirl [24]

Answer:

43/40x^3-5x^5+2

Step-by-step explanation:

8 0

3 years ago

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