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Effectus [21]
3 years ago
11

The number of students in a geometry class is four

Mathematics
1 answer:
stira [4]3 years ago
6 0

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

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chubhunter [2.5K]

Answer:

2x + .8 = 58.9

His number, x, is 29.05

Step-by-step explanation:

2x + .8 = 58.9

2x = 58.1

x = 29.05

6 0
3 years ago
Write a equation of a line that is perpendicular to y = -2/7x+9and pass through point (4,-6)
nikitadnepr [17]

Answer:

y = 7/2x - 20.

Step-by-step explanation:

The slope of the given line is -2/7,  therefore the slope of the line perpendicular to it is  - 1/ -2/7 = 7/2.

When x = -4, y = -6  so we substitute x1 = 4, y1 = -6 and m ( the slope) = 7/2 in the point slope form of a line:

y - y1 = m(x - x1)

y - (-6) = 7/2(x - 4)

y + 6 = 7/2x - 14

y = 7/2x - 20.

3 0
3 years ago
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
Sunny_sXe [5.5K]

Answer:

  1. -1392.09
  2. -1744.43
  3. -1636.41

Step-by-step explanation:

using the given integral

calculate:  Δx = (12-0) / 8 = 3/2

Xo = 0,   f(x) = x^3sin(x)

X1 = 3/2 ,   X2 = 3, X3 = 9/2,  X4 = 6,  X5 = 15/2,  X6 = 9,  X7 = 21/2,  X8 = 12

Inputting the given values into the Trapezoid rule, midpoint rule and Simpson's rule to approximate the given integral with the specified value of n = 8

8 0
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denis-greek [22]
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3 years ago
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Hoochie [10]

Answer:

31 yards

Step-by-step explanation:

The formula to find circumference is as follows:

c = 2(3.14)r

We can use this to find the radius

Plug in the circumference and solve:

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The radius then equals 31 yards.

<em>Hope this helps!</em>

<em>- Kay :)</em>

6 0
3 years ago
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