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Travka [436]
3 years ago
6

In a school experiment the temperature of a substance is changed from 42 degrees F to -54 degrees F at an average rate of 12 deg

rees per hour. Over how many hours does the change take place?
Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer: 8 Hours


(42--54)/12=8

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Find the x- and y-intercept of the line. <br><br> 5x – 4y = 40
MariettaO [177]
The x-intercept is 8
the y-intercept is -10
5 0
3 years ago
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.
kherson [118]

Answer:

  • A.)  (3.6, 0.6)
  • D.)  (2.6, 0.4)

Step-by-step explanation:

See below for a graph.

___

Choices B, C, E can be eliminated on the basis that neither x nor g(x) can be negative. The domain of f(x) is x>0; the range of g(x) is x≥0.

7 0
2 years ago
An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inche
nikklg [1K]
Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle.  The trick here is to figure out what your triangle measures are as far as angles go.  If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle.  WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x.  Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.
6 0
3 years ago
How to find next number in this sequence. 2,7,26,101,400?
lyudmila [28]
N(4)-1
n(4)-2

ex 2(4)=8
8-1=7

7(4)=28
28-2=26
 so the next number would be 1595
5 0
3 years ago
The circumference of a circle is 12 inches. What is the radius
IceJOKER [234]
Greetings!

"<span>The circumference of a circle is 12 inches. What is the radius?"...

We can use the formula to find the circumference of circle to solve this:
</span>2 \pi r
<span>
Input the information we know:
</span>2 \pi r=12
<span>
Solve for r, using the properties of equality:

Simplify.
</span>6.28r=12
<span>Divide both sides by 6.28
</span>(6.28r)/6.28=(12)/6.28<span>
Simplify.
</span>r=1.91

The radius is 1.91cm long.

Hope this helps.
-Benjamin
7 0
3 years ago
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