All categories

3 years ago

Please help me! i need to do this by Friday

Mathematics

1 answer:

Masja [62]3 years ago

6 0

Answer:

Step-by-step explanation:

x+118 degrees =180 degrees

x +118 degrees-118degrees =180 degrees - 118 degrees

x =62 degrees

You might be interested in

What is the missing addend?<br> 52,835 +<br> = 87,216

posledela

Answer: 34,381

Step-by-step explanation:

You have to subtract 52,835 by the sum 87,216 which will get you the answer of 34,381

6 0

3 years ago

Read 2 more answers

A population, P(t) (in millions) in year t, increases exponentially. Suppose P(9)=16 and P(18)=24. a) Find a formula for the pop

jenyasd209 [6]

Answer: $\frac{32}{3}\left ( 1.0460\right )^t$

Step-by-step explanation:

Given

Population changes exponentially

$P\left ( t\right )=ab^t$

$P\left ( 9\right )=16$ ------1

$P\left ( 9\right )=16=ab^8$

$P\left ( 18\right =24=ab^{18}$ -----2

divide 1 & 2 we get

$\frac{24}{16}=\frac{b^{18}}{b^9}$

$\frac{3}{2}=b^9$

Substitute $b^9$ in 1 we get

$a=\frac{32}{3}$

Thus $P\left ( t\right )=\frac{32}{3}\left ( 1.0460\right )^t$

8 0

3 years ago

Read 2 more answers

Eddie took out a 14-year loan for $72,000 at an APR of 4.7%, compounded monthly, while Lee took out a 14-year loan for $92,000 a

marishachu [46]

**Eddie: $72000/(14yr*12mo)=428.6$/mo+428.6$*(4.7%)/100%
Eddie pays 428.6$/mo+20.14$/mo. If he pays off his loan 6 years earlier he would save: $20.14*6yr*12mo= $1450.08
**Lee: $92000/(14yr*12mo)=547.62$/mo+547.62$*(4.7%)/100%
Lee pays 547.62$/mo+25.74$/mo. If he pays off his loan 6 years earlier he would save: $25.74*6yr*12mo=$1853.28

So its A. <span>Lee would save more, since he has $20,000 more in principal.</span>

4 0

3 years ago

Read 2 more answers

One of the numbers was increased by 10 and the other remained the same. How did the average of the two numbers change?

Alexxandr [17]

10+0=10
10÷2=5
The average is 5.

6 0

3 years ago

Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.

Artyom0805 [142]

A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

B) Find general solution by separating variables and integrating $\int\frac{dT}{T-52} = \alpha \int dt \\ ln (T-52) = \alpha t + C \\ T = C e^{\alpha t} +52$ :

C) Initial condition is t=0, T = 87
$87 = C +52 \\ C = 35$

D) Total time elapsed is 10 minutes, new temperature is 84
$84 = 35 e^{10\alpha} +52$
solve for alpha
$e^{10\alpha} =\frac{32}{35} \\ \alpha = \frac{ln(32/35)}{10} \\ \alpha = -.00896$

E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
solving for t
$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
Plug in T = 98.6
$t = -31.95$

This is approximately 32 minutes before he arrived or about 1:20 AM

3 0

3 years ago