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3 years ago

What is the area of the following trapezoid

Mathematics

1 answer:

nignag [31]3 years ago

3 0

Answer:

d. 130

Step-by-step explanation:

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18x + 24 = 12x +14. Find the value of (x)

densk [106]

Answer:

X = -10/6

X = -1,666666666666667

Step-by-step explanation:

First at all you join the X's

18x-12x = 14-24

Then you simplified:

6x = -10

X = -10/6

X = -1,666666666666667

3 0

3 years ago

Read 2 more answers

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

4 0

3 years ago

Solve using square root method

avanturin [10]

$\frac{1}{2}(x+5)^2 + 9 = -15$

$\frac{(x+5)^2+18}{2} = \frac{-30}{2}$

Cancel out the denominators.

(x+5)² + 18 = -30

(x+5)² = -30 - 18

(x+5)² = -48

The equation is impossible, we have a negative number.

There isn't a number that squared gives a negative number (the square is always positive).

√(x+5)² = +/- √-48

x+5 = +/- √-48

IMPOSSIBLE

You can write the result in imaginary numbers

x+5=+/- 4i√3

6 0

3 years ago

PPPPLLLLLLSSSS I NEEED HELP

Nuetrik [128]

Answer:

x=63

Step-by-step explanation:

The two interior angles add up the the exterior angle, so 51+x+12=2x. From there, solve to get x=63. Hope this helped!

7 0

2 years ago

On Eduardo's workbench are the following

Maurinko [17]

Answer: 2/5

Step-by-step explanation:

Number of cans of red paint = 3

Number of cans of blue paint = 5

Number of cans of green paint = 8

Number of cans of yellow paint = 4

Total number of cans of paint = 20

The probability that Eduardo will

choose a can of red paint or a can of blue will be:

= P(red) + P(blue)

= 3/20 + 5/20

= 8/20

= 2/5

The probability is 2/5.

8 0

3 years ago