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HACTEHA [7]
2 years ago
8

A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population t

hat the teacher should survey?
the parents of all the students in the school
the parents of the seventh-grade students
each teacher in the school
each student in the schoo
Mathematics
1 answer:
Charra [1.4K]2 years ago
6 0

Answer:

The parents of the seventh grade students

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The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
Viktor [21]
Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²

the answer is
26558.21 ft²
6 0
4 years ago
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-12c^2
g100num [7]

Answer:

5 amperes will produce the maximum power of 300 watts.

Step-by-step explanation:

The general form of a quadratic function presents the function in the form

f(x)=ax^2+bx+c

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.

We can define the vertex by doing the following:

  • Identify a, b, and c
  • Find, the x-coordinate of the vertex, by substituting a and b into

x-coordinate =-\frac{b}{2a}

  • Find, the y-coordinate of the vertex, by evaluating

y-coordinate =f(x-coordinate )=f(-\frac{b}{2a} )

We know that the power generated by an electrical circuit is modeled by

P(c)=-12c^{2}+120c

This function is a quadratic function.

To find the current that produce the maximum power you must

  • Identify a and b

a = -12 and b = 120

  • Find, the maximum current of the vertex, by substituting a and b into

maximum-current =-\frac{b}{2a}

maximum-current =-\frac{120}{2(-12)}\\\\maximum-current = 5

  • Find, the maximum-power, by evaluating

maximum-power =P(maximum-current)=P(-\frac{b}{2a} )

P(5)=-12(5)^{2}+120(5)=300

5 amperes will produce the maximum power of 300 watts.

We can check our work with the graph of the function P(c)=-12c^{2}+120c and see that the maximum is (5, 300).

5 0
4 years ago
I NEED HELP ASAP I WILL MARK BRAINLEST.
lbvjy [14]

Answer:

I believe it is the first option

2.7 x 10^-5

Step-by-step explanation:

3 0
2 years ago
Answer please.....<br> Thanks!!!!
Tems11 [23]
A. x= 11/5
b. x= 6
c. x= -12/2
d. x= 6/5
3 0
3 years ago
Find the values of x and y?
elena-14-01-66 [18.8K]

Answer:

x = 20

Step-by-step explanation:

I don't see a y in the diagram.

The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so

x + 90 + 4x - 10 = 180, that is

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

5 0
3 years ago
Read 2 more answers
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