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Mice21 [21]
2 years ago
7

The base of a triangle in which a=58.5 in^2 height=9

Mathematics
2 answers:
Kaylis [27]2 years ago
5 0
A = 58.5     h = 9     b = ?
..............................................   

Area of a triangle 
Formula : A = 1/2 * b * h

Substitute A for 58.5 and h for 9.

A = <u>1</u> * b * h
      2
58.5 =<u> 1</u> * b * 9
          2
58.5 = <u>9b
</u>           2

Cross Multiply

9b = 117
b = <u>117</u>
        9
b = 13


Nuetrik [128]2 years ago
3 0
Area of a triangle = 1/2 x base x height
a = 58.5 
height = 9

58.5 = 1/2 x base x 9
58.5 = 4.5 x base
base = 13
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If one feather weighs 700 milligrams, how much will 37 identical feathers weigh plus the basket they are placed in which weighs
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Answer: 25,900 milligrams, but if the basket is included it would be 74,900 milligrams.

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4 0
2 years ago
What are the domain and range of f (x) = (one-fifth) Superscript x?
natka813 [3]

Answer:

The domain of the function is all real numbers (-\infty,\infty) and the range is all positive real numbers (0,\infty)

Step-by-step explanation:

We have the following function f(x)=(\frac{1}{5} )^x and we want to find the domain and the range.

The function we have is an example of an exponential function f(x)=b^x with b > 0 and b ≠ 1. This types of functions in general have the following properties:

  • It is always greater than 0, and never crosses the x-axis
  • Its domain is the set of real numbers
  • Its Range is the Positive Real Numbers (0,\infty)

The domain of a function is the specific set of values that the independent variable in a function can take on.

When determining domain it is more convenient to determine where the function would not exist.

This function has no undefined points nor domain constraints. Therefore the domain is (-\infty,\infty).

The range is the resulting values that the dependent variable can have as x varies throughout the domain. Therefore the range is (0,\infty).

We can check our results with the graph of the function.

7 0
2 years ago
Read 2 more answers
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five numb
melisa1 [442]

Answer: The  lowest value: 100 and highest value: - 150 .

If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Step-by-step explanation:

We know that the box-plot is the graphical way to represent the five -number summary (Minimum value , First quartile (Q_1) , Median , Third Quartile (Q_3)  , Maximum value).

Where , the box streches between the first quartile  (Q_1)  and the third quartile  (Q_3) .

Given : The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines.

The five number summary for prices based on a sample of major US airlines was:

Min = 60,

Q_1= 100

Median = 110

Q_3= 125

Max = 150

If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Hence, the  lowest value: 100 and highest value: 125 .

8 0
2 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
olya-2409 [2.1K]

The equation would be 2x + 5y = 11.

To find this, we first have to find the slope of the line. The slope formula is below.

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

In which (x1, y1) is the first point and (x2, y2) is the second. So we plug in to solve.

m = (3 - 1)/(-2 -3)

m = 2/-5

Now that we have the slope, we can use it along with a point to get the slope intercept form.

y = mx + b

3 = -2/5(-2) + b

3 = 4/5 + b

11/5 = b

Now that we have the equation of y = -2/5x + 11/5 we can manipulate it into standard form.

y = -2/5x + 11/5 -----> add 2/5x to both sides

2/5x + y = 11/5 ----> multiply both sides by 5

2x + 5y = 11

7 0
2 years ago
Line z has a slope of 2.5 and goes through point (4, 13). Which equation best represents line z?​
Rus_ich [418]

Answer:

y - 13 = (5/2)(x - 4)

Step-by-step explanation:

Here we know the slope and one point on the line.  Use the point-slope formula:

y - k = m(x - h).

Substituting 13 for k, 4 for x and 2.5 for m, we get:

y - 13 = (5/2)(x - 4)\

7 0
2 years ago
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