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3 years ago

angle 1 is a supplement of angle 2 and a compliment of angle 3 and angle 1= 68 degrees what is angle 2 - angle 3

Mathematics

1 answer:

Murljashka [212]3 years ago

3 0

Answer:

Step-by-step explanation:

Angle 2 = 180 - 68 = 112

Angle 3 = 90 - 68 = 22

Angle 2 - Angle 3 = 112 - 22 = 90

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hazel prepared 6/8 liter os juice and 5/8 liter of guyabano juice.how many liters of juice did she prepare in all

SIZIF [17.4K]

Answer:

Step-by-step explanation:

i believe you just have to add the fractions together since the denominator are the same :)

$\frac{6}{8} + \frac{5}{8} = \frac{6 + 5}{8} = \frac{11}{8}$

So in total Hazel can produce $\frac{11}{8}$ Liters of juice

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3 years ago

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

Find 6 3/4 - 4 11/12. Write your answer in simplest form.

Mrrafil [7]

Answer:

1 5/6

Step-by-step explanation:

first convert to /12 and put the wholes in the fraction:

6 3/4 = 81/12

4 11/12 = 59/12

Then perform the subtraction

81/12 - 59/12 = 22/12

... and simplify

22/12 = 11/6

separate the wholes

11/6 = 6/6 + 5/6 = 1 5/6

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3 years ago

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Equipment was purchased for $85,000 on january 1, 2015. freight charges amounted to $3,500 and there was a cost of $10,000 for b

Elena-2011 [213]

85000+3500+10000=98500 is a historic price of equipment. Annual depreciation is (98500-15000)/5=83500/5=16700. At december 31 2016 will be gone 2 years-2015 and 2016. So the accumulated depreciation will be 2*16700=33400

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3 years ago

The dimensions of a triangular prism are shown in the diagram.

Naya [18.7K]

Answer:

312 cm³

Step-by-step explanation:

volume of triangular prism = area of triangle x length

area of triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 8 x 6 = 24 cm²

Therefore, volume of the prism = 24 x 13 = 312 cm³

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2 years ago

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