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AlekseyPX
3 years ago
11

Find the measures of the angles in ∆ABC if m∠A : m∠B : m∠C = 2:3:4.

Mathematics
1 answer:
g100num [7]3 years ago
3 0

Answer:

A=40, B=60, C=80

Step-by-step explanation:

180/7 to find what "1" would be in the ratio then multiply 20*2, 20*3, 20*4.

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Last year 190 student attended the spring dance and the total cost was 1250. Two years ago 175 people attended and the total cos
kondor19780726 [428]
Unit cost of a ticket = Income from ticket sales / number of tickets sold:

$1250
--------------- = $6.58 per ticket
190 tickets

Again:

$1175
--------------- = $6.71
175 tickets

While ticket prices do change (usually increase) from year to year, it's unusual to see such a situation here.

Don't have any guidelines by which to determine the "fixed cost of a ticket".

If we use the cost of a ticket of 2 years ago ($6.58/ticket), then the income from the sale of 225 tickets this year would be ($6.58/ticket)(225 tickets), or $1480.50.
6 0
3 years ago
The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the y
kvasek [131]

Answer:

P(t) = A * (1 + r)^t ;

14,922 ;

Year 2013

Step-by-step explanation:

Given the following :

Continuous growth rate(r) = 5% = 0.05

Population in year 2000 = Initial population (A) = 10,100

Time(t) = period (years since year 2000)

A)

Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).

P(t) = A * (1 + r)^t

Trying out our function for t = year 2000, t =0

P(0) = 10,100 * (1 + 0.05)^0

P(0) = 10,100 * 1.05^0 = 10,100

B.)

Use your function from part (a) to estimate the fox population in the year 2008.

Year 2008, t = 8

P(8) = 10,100 * (1 + 0.05)^8

P(8) = 10,100 * 1. 05^8

P(8) = 10,100 * 1.4774554437890625

= 14922.29

= 14,922

c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.

P(t) = A * (1 + r)^t

18400 = 10,100 * (1.05)^t

18400/10100 = 1.05^t

1.8217821 = 1.05^t

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

0.0487901 * t = 0.5998151

t = 0.5998151 / 0.0487901

t = 12.293787

Therefore eit will take 13 years

2000 + 13 = 2013

4 0
3 years ago
What is the answer to 5−2x^2=37
Strike441 [17]

Answer:

x= 4i or -4i

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped :)

4 0
3 years ago
Read 2 more answers
Can someone please help
Flura [38]

Answer:

b 120 cm

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If 20 tickets to a carnival cost $120.00, make a
aivan3 [116]
120/20=6 so it’s six dollars a ticket
1=$6
3=$18
4=$24
5=$30
6=$36
n=6n
8 0
2 years ago
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