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8_murik_8 [283]
2 years ago
13

Consider the triangle.

Mathematics
2 answers:
leva [86]2 years ago
6 0

Answer:

58.5

Step-by-step explanation:

since a triangle consists 180 degrees, 180-90-31.5 would equal 58.5

Nataly [62]2 years ago
3 0

Answer:

58.5°

Step-by-step explanation:

every triangle has 180°

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Is it possible for an exponential equation to have no solutions? If so, give an example. If not, explain why.
vredina [299]
A function f(x) has solutions if we can find a value to plug in that leads to 0. In other words, there are solutions to f(x) = 0. Another term for "solution" is "root" or "x intercept"

An exponential function may cross the x axis at one point only. Though there are plenty of cases when there are no solutions at all. For instance, in the case of f(x) = (2^x) + 10

The right hand side will never be equal to zero no matter what you plug in for x. The graph will never cross the axis.

To answer your question, yes it is possible to have an exponential equation to have no solutions. 
4 0
3 years ago
A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses whic
Galina-37 [17]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the big buses and y represent small buses. The large buses can carry 30 students and the small buses can carry 15 students. The total number of students are 450, this can be represented by the inequality:

30x + 15y ≤ 450

They are only 20 drivers, therefore only 20 buses can be used. It is represented by:

x + y ≤ 20

They  are only 19 small buses and 18 large buses:

x ≤ 18

y ≤ 19

After plotting the graph, the minimum solution to the graph are at:

A (15,0), B(18,0), C(10, 10), D(18, 2).

The cost function is given as:

The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.

​

F(x, y) = 225x + 100y

At point A:

F(x, y) = 225(15) + 100(0) = $3375

At point B:

F(x, y) = 225(18) + 100(0) = $4050

At point C:

F(x, y) = 225(10) + 100(10) = $3250

At point D:

F(x, y) = 225(18) + 100(2) = $4250

The minimum cost is at point C(10, 10) which is $3250

3 0
3 years ago
I bought 1/2 gallon of paint then I found 1/3 of paint in my garage how much more paint do I need to have 3 gallons of paint
Ostrovityanka [42]
1/2 + 1/3 = (3*1)+(2*1) / (2*3) = (3+2)/6 = 5/6
tinha 5/6 de litro
para 1 litro faltam 4/6 de litro
para 3 litros faltam 2 litros e 4/6 de litro ou, simplificando:
4/6 = 2/3, logo, faltam 2 litros e 2/3 de litro.
6 0
3 years ago
Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the grou
Morgarella [4.7K]

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and  the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45

a = \sqrt{45} or \sqrt{9} · \sqrt{5} which simplifies to be 3\sqrt{5} or approx. 8.9 meters

7 0
2 years ago
if a population doubles every 5 years how many years would it take for the population to increase by 10 times original amount?
Alecsey [184]
25 years is the answer
7 0
3 years ago
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