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3 years ago

Thxxxxxxxxxxxxxxxxxxxxxxxxxxxx (More comming)

Mathematics

1 answer:

Yuki888 [10]3 years ago

8 0

The congruent angle would be AGC because it is the same on both sides.

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Integrate cos(2theta)d(theta) from 0 to pi/5

kipiarov [429]

$\int\limits^ \frac{ \pi }{4} _0 {cos2t} \, dt = \frac{sin2t}{2} I\limits^ \frac{ \pi }{4} _0 = \\ = \frac{sin( \pi/2) }{2}- \frac{sin (0)}{2}= \frac{1}{2}$
Answer: 1/2

3 0

3 years ago

How fast did the truck consume its fuel?

alukav5142 [94]

Answer: 0.6 liters per kilometer

Step-by-step explanation:

(A) 475L - 50km

(B) 375L - 200km

Subtract liters.

475-375=100L

Subtract km

200-50=150km

Divide liters per km

100/150=0.6L/km

7 0

4 years ago

What do I do.<br> 500.34 + 4333

Naddik [55]

U add it up the answer will be 4833.34 but plz post a pic

8 0

3 years ago

Read 2 more answers

Why is 3/12 a rational number

iVinArrow [24]

3/12 is a rational number because rational numbers can be written in the form of a/b

When you simplify 3/12, you get 1/4, which is a fraction

4 0

3 years ago

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an archaeologist in turkey discovers a spear head that contains 80% of its original amount of C-14. Find the age of the spear he

Genrish500 [490]

Answer:

The age of the spear head to the nearest year is 1845 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

now, we can plug value

$P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }$

an archaeologist in turkey discovers a spear head that contains 80% of its original amount of C-14

so,

$P(t)=0.80P_0$

we can plug it

$0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }$

now, we can solve for t

$0.80=(\frac{1}{2})^{\frac{t}{5730} }$

$\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)$

$t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}$

$t=1844.647$

So,

The age of the spear head to the nearest year is 1845 years

7 0

3 years ago