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MA_775_DIABLO [31]
2 years ago
11

Three angles of a quadrilateral are 75°, 90° and 75°. What is the measure of the fourth angle?

Mathematics
1 answer:
Sergio039 [100]2 years ago
4 0

the inside of quadrilateral is always 360°.So add 75°,90° and 75° and then subyaract from360°.

x+75°+75°+90°=360

×+240°=360°

x=360°-240°

x=120°

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Select the term that best describes the statement.
Ipatiy [6.2K]
The statement is a conditional statement.
5 0
2 years ago
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
Pictures of the problem is attached! :)
hjlf

Answer:

Step-by-step explanation:

16 x 28% = 4.48

16 x 72% = 11.52

16 x 172% = 27.52

16 x 128% = 20.48

---------------------------------------------------------------

I dont know for the second one, sorry-

8 0
2 years ago
Brett warmed up for his basketball game by running around the court 3 times . If the court is 84 feet by 50 feet, how many feet
lana [24]

Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= 2(l+w)

where, l= length

           w= width

∴ Perimeter of rectangular court= 2(84\ feet + 50\ feet)

⇒ Perimeter of rectangular court= 2(134\ feet)

Opening parenthesis

⇒ Perimeter of rectangular court= 2\times 134\ feet= 268\ feet

Hence, Brett run 268 feet in one round of warm up.

As given, Brett ran around the court 3 times.

∴ Total number of feet= 268\ feet\times 3= 804\ feet

Hence, Brett jog for 804 feet.

3 0
2 years ago
Which ordered pair is a solution of the equation 2x-3y=18 A:(0,8)B:(2,5)C:(3,-4)D:(6,2)
Archy [21]
<span>2x-3y=18 
when x = 3
2(3) - 3y = 18
6 - 3y = 18
-3y = 12
   y = -4

so(3, -4) is the solution

answer
</span><span>(3,-4)</span>
5 0
2 years ago
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