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Brut [27]
2 years ago
8

The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 2 hours for a sq

uare inch of ice to melt at 70 degrees, find the constant of proportionality
Mathematics
1 answer:
Greeley [361]2 years ago
5 0
This is an inverse or indirect variation problem that would be set up as y=k/x if you were using y and x.  Since you are using h and t, it would look like this:
h=k/t, where k is the constant of variation. Fill in the formula with the h and the t they give you: 2=k/70. Multiply both sides by 70 to get a constant of variation value of 140.
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If x²-5x +1 =0, what is the value of -<br><img src="https://tex.z-dn.net/?f=%28x%20%2B%20%20%5Cfrac%7B1%7D%7Bx%7D%20%29%20%20" i
ra1l [238]
<h3>Answer:   5</h3>

=================================================

Work Shown:

x^2 - 5x + 1 = 0

x^2 + 1 - 5x = 0

x^2 + 1 = 5x

(x^2 + 1)/x = 5    .... where x is nonzero

(x^2)/x + (1/x) = 5

x + (1/x) = 5

---------------

An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.

In this case,

p = (5 + sqrt(21))/2

q = (5 - sqrt(21))/2

8 0
2 years ago
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What are the vertices of POR?
cupoosta [38]

Answer is (d) P, Q , R

Any triangle has 3 vertices , after which its name is justified

8 0
3 years ago
Please help I need to get school work done before 3​
Leno4ka [110]
1-distributed property
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3 0
3 years ago
Pls answer A,B,and C. Pls tell me the correct answer for each part and explain how you got the answer.(step by step)
Nady [450]
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
4 0
3 years ago
What is the answer for 76.4 x 3.6?
hammer [34]

Answer:

275.04

Step-by-step explanation:

76.4 x 3.6 = 275.04

6 0
2 years ago
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