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Ivanshal [37]
3 years ago
14

Determine the sine, cosine, and tangent of angle THETA. Check tje appropriate solution for each.​

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Step-by-step explanation:

c²=a²+b²

a²=c²-b²

a²= 15²-9²=225-81=144

a=√144=12

sinΩ=a/c=12/15=4/5

cosΩ=b/c=9/15=3/5

tanΩ=a/b=12/9=4/3

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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
2 years ago
What is the slope of the line represented by the equation y=-1/2x+1/4
ahrayia [7]
I’m pretty sure the slope is -1/2
3 0
3 years ago
1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2=(5+4 y) and m 3=(6 y-25). what is m 1
poizon [28]
Vertical angles are equal to each other:
        ∠2     =    ∠3
     5 + 4y = 6y - 25
 →      30 = 2y
→       15 = y

∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65

linear pairs equal 180:
     ∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→      ∠1    = 115

5 0
3 years ago
A smoothie shop receives a delivery of 968 ounces of grape juice and 720 ounces of orange juice. How many more Royal Purple smoo
givi [52]
968-720=248

248 more Royal Purple smoothies can be made than Orange Tango with the shipment of juices.
3 0
3 years ago
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s344n2d4d5 [400]

Answer:

elflaerkhg/lndfklnds/lfknas.dgsnf.raekjhg.re;ihnvdltnh45

Step-by-step explanation:

yeah <3

8 0
3 years ago
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