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Len [333]
3 years ago
6

the description of a TV is based on the diagonal length. if the height of a TV is 10 inches and the width is 7 inches, what is t

he approximate diagonal length in inches?
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
To calculate it use pythagoras: a^2+b^2=c^2
7^2+10^2=49+100=149

calculate the square root: \sqrt{149}=12.2
so the diagonal is about 12.2 inches long

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The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation T(t) = 69e−0.0174t + 79. To
Papessa [141]

Answer: T(90) = 93.413 F

Step-by-step explanation:

The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation

T(t) = 69e−0.0174t + 79.

T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.

We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes

1f 1 hour = 60 minutes

Then 1.5 hours = 1.5 × 60 = 90 minutes.

We would substitute t = 90 minutes into the equation, it becomes

T(90) = 69e−0.0174×90 + 79

T(90) = 69e−1.566 + 79

T(90) = 14.413 + 79

T(90) = 93.413 F

5 0
3 years ago
Find the discriminant.<br> 4y? – 3y + 3 = 0
Vikki [24]
D= -39
The solution is 2 complex roots

Work shown in attached image

3 0
3 years ago
Read 2 more answers
Linda needs 20 gallons of juice that has 75%fruit juice. she has a mixture that has 80% fruit juice and another mixtures that ha
suter [353]
Linda should use ...
  15 gallons of 80% juice
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_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
  0.80g +0.60(20 -g) = 0.75×20
  0.20g = 20(0.75 -0.60) = 20×0.15
  g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
5 0
3 years ago
Help me if you understand thanks sm
kumpel [21]
First, find the slope of the line using the formula for slope:

m = (y2 - y1) / (x2 - x1)

m = (4 - (-2)) / (-3 - 2) = -6/5

Then, use the point-slope formula using a point that you were given and the slope that you calculated.

y - y1 = m(x - x1)

y - 4 = (-6/5)(x + 3)

Then, simply get y alone.

y = (-6/5)x + 2/5
3 0
2 years ago
There are 59 people going on a field trip.
Maru [420]

You first multiply 6 and 8 to see how many people are put in the vans without rented a van. This would equal 48. You then subtract 48 from 59 to see how many people still need to be in a van. This would leave you with 11 people. Then you divide 8 from 11 to get 1 3/8. This means you need 2 vans to fit everyone.

3 0
3 years ago
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