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chubhunter [2.5K]
3 years ago
12

Find the area of this triangle. Round to the nearest tenth. ASAP PLEASE.

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

the answer is 60.0

Step-by-step explanation:

28.8+12+18=58.8

rounded to the nearest 10th would be 60.0

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According to data from a medical​ association, the rate of change in the number of hospital outpatient​ visits, in​ millions, in
GaryK [48]

Answer:

a) f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient​ visits, in​ millions, is given by:

f'(t)=0.001155t(t-1980)^{0.5}

a) To find the function f(t) you integrate f(t):

\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt

To solve the integral you use:

\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}

Next, you replace in the integral:

\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C

Then, the function f(t) is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient​ visits.

Hence C' = 264,034,000

The function is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) For t = 2015 you have:

f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7

3 0
3 years ago
The theorems in this lesson relate to all of the following:
grin007 [14]

Answer:

tangents, arcs, and chords

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How do you find the height of a triangle given all three sides?
timofeeve [1]
Well first you have to find the area and the bass of a triangle. After that then you have to h=2 A divided by B. That should give you the height. 

Have a great day!! :D
4 0
3 years ago
How do I calculate the volume of this pyramid?
IgorLugansk [536]

V = 1/3 area of base * height

Area of  base = h [(b₁ +b₂)]/2

[(3 + 6) * 4] : 2 =

18 ft²

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54 ft³


4 0
3 years ago
Select from the drop-down menu to correctly identify the property shown.
Snezhnost [94]

it is commutative i just took the test and got a 100 argh 7th grade i tell you



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