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mafiozo [28]
3 years ago
10

Two of the lowest temperatures ever recorded in the U.S. are -79.8 *F in Alaska and -69.7*F in Montana. Write an inequality that

compares the temperatures.​
Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

During cool or cold weather episodes, fuel must be consumed to make buildings comfortable living spaces. A useful indicator of fuel consumption for heating purposes is the determination of heating degree-days. They are calculated by accumulating one heating degree-day (HDD) unit for each Fahrenheit degree the daily mean (average) temperature is below the base value of 65°F (18°C). For example, a day with a maximum temperature of 60°F and a minimum of 40°F has a mean temperature of 50°F. Subtracting 50 from 65 yields 15 heating degree-day units for that day. Hence, a day with a high temperature of 45°F and a low of 25°F produces ______ HDDs.

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a gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday. He install
Nat2105 [25]
13.45 + 9.5 = 22.95
42.6 - 22.95 = 19.65
19.65 : 3 = 6.55m did he fence each day wednesday thursday & friday
8 0
3 years ago
A circle with area \blue{25\pi}25πstart color #6495ed, 25, pi, end color #6495ed has a sector with a central angle of \purple{\d
vredina [299]

Answer:

Step-by-step explanation:

Given that

The area of circle is 25π square unit

Area = 25π square unit

The area of a circle can be calculated using

Area = πr²

Where r is radius of the circle

Then, let find the radius of the circle

Area = πr²

25π = πr²

Divided Both side by π

25π / π = πr² / π

25 = r²

Take square root of both sides

√25 = √r²

5 = r

Then, the radius of the circle is 5 unit

Then, given that the angle subtended by the sector is 9π/10 rad

θ = 9π/10 rad

Then, we want to find the area of the sector

Area of a sector is calculated using

Area of sector = (θ / 360) × πr²

Area of sector = θ × πr² / 360

The formula is in degree let convert to radian

360° = 2π rad.

Then,

Area of sector = θ × πr² / 2π rad

Then,

Area of sector = θ × r² / 2

Area of sector = ½ θ•r²

Then, Area of the sector is

A = ½ θ•r²

A = ½ × (9π / 10) × 5²

A = (9π × 5²) / (2 × 10)

A = 225π / 20

A = 45π / 4

A = 11.25π Square unit

A = 35.34 square unit

3 0
3 years ago
The following table represents the sample space of rolling two number cubes.
alex41 [277]
We just need to count the number of outcomes that have exactly one even number. The total number of outcomes is 36. We see that from the first row, the number of outcomes that qualify are 3: 1-2, 1-4, 1-6 (out of the 6 total outcomes). For the 2nd row, again there are 3: 2-1, 2-3, 2-5. It is obvious by now that for any row, whether the number is even or odd, there are 3 outcomes on that row that correspond to rolling exactly one even number. Hence, there are in total 6*3=18 favorable outcomes.
4 0
3 years ago
Read 2 more answers
Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15
tatuchka [14]

Answer:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

  • a column for the values of x in each equation
  • a column for the values of y in each equation
  • a column for the independent values of each equation

since our system of equations is:

3x-5y=12\\ 4x-2y=15

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]

usually there is a line separating the columns for the values of x and y, and the independent values:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

this is the matrix of the system of equations

6 0
3 years ago
Please help me thank you
gayaneshka [121]

Answer:

x = 6

Step-by-step explanation:

First, separate the problem into -\frac{2x}{3} +9=\frac{4x}{3} - 3

Then, Subtract 9 from both sides of the equation. -\frac{2x}{3} +9-9=\frac{4}{3} * x - 3-9

Simplify. -\frac{2x}{3}=\frac{4x}{3}-12

Multiply 3 to each side, which will give you -2x = 4x - 36

Subtract 4x from each side  -2x - 4x = 4x - 36x - 4x

Combine like terms: -6x = -36

Divide both sides by -6

Your answer should be 6

<em>(sorry for the late answer)</em>

5 0
3 years ago
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