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3 years ago

Use formulas to find the lateral area and surface area of the prism

Mathematics

1 answer:

lara31 [8.8K]3 years ago

7 0

Answer:

All the possible ways are below:

length

l = 12 m

width

w = 15 m

height

h = 21 m

diagonal

d = 28.460498941515 m

surface area

S = 1494 m2

volume

V = 3780 m3

length

l = 21 m

width

w = 15 m

height

h = 12 m

diagonal

d = 28.460498941515 m

surface area

S = 1494 m2

volume

V = 3780 m3

length

l = 15 m

width

w = 21 m

height

h = 12 m

diagonal

d = 28.460498941515 m

surface area

S = 1494 m2

volume

V = 3780 m3

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A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )$

$\frac{dT}{T-68}=-kdt$

Integrating

$=\int \frac{dT}{T-68}=-kdt$

$\ln |T-68|=-kt+c$

$T-68=Ae^{-kt}$

Now at 9 am i.e. t=0,

$90.3=A+68$

$A=22.3$

At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

$98.6-68=e^{-0.06006t}$

$30.6=e^{-0.06006t}$

Taking log both sides

$t=-5.27$

i.e. 5 hr and 16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0

3 years ago

Geometry, Triangle in a circle. Find X show work and explain please

nikklg [1K]

Answer: $x=7$

Step-by-step explanation:

By the Intersecting Secants Theorem, we know that:

$(5)(x+5)=(6)(6+4)$

Having this, we can find the value of "x" by solving for "x":

Applying Distributive property:

$(5)(x+5)=(6)(24)\\5x+25=60$

Subtract 25 from both sides of the equation:

$5x+25-25=60-25\\5x=35$

And finally dviding both sides of the equation by 5, we get:

$\frac{5x}{5}=\frac{35}{5}\\x=7$

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3 years ago

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Sladkaya [172]

Answer:

y=3/4m

Step-by-step explanation:

All proportional relationships have the form y=mx where m is the rate of change from the families donations x to the business donations y. We can find the rate of change m by substituting values we already know. We know when x=$12 then y=$9.

9=m*12

We solve for m by dividing by 12 on both sides.

m=9/12

This simplifies to 3/4 so

m=9/12=3/4.

The equation is y=3/4m

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2 years ago

Is 1.6868 irrational or rattional

Alexxx [7]

Answer:

Rational

Step-by-step explanation:

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3 years ago

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Darina [25.2K]

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3 years ago