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Marina CMI [18]
3 years ago
12

a spherical ball is inflated with helium at the rate of 100πft^3\min. how fast is the balloon's radius increasing at the instant

radius of 5ft?
Mathematics
1 answer:
joja [24]3 years ago
8 0
Hsijdhdbdnoxuhdbdnlwosjbbdnskdn
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Marat540 [252]

Answer:

39.2 square units is the answer

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Write an absolute value inequality for each of the following. Then graph the
n200080 [17]

An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.

<h3>How to write an absolute value inequality?</h3>

Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.

This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:

|x| < 7

Therefore, this can be translated as follows:

-7 < x < 7      or      x < 7  and    x > -7.

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2 years ago
Kate has a kite with the dimensions shown below. What is the value of X?
sergij07 [2.7K]
Hey there! :D

We will use the properties of similar triangles to figure this out. 

We will use two triangles inside the kite, with sides with the value of "x". 

Smaller triangle:

Smaller side= 11

Bottom side= x

Bigger triangle:

Smaller side= x

Bottom side= 25

\frac{11}{x} = \frac{x}{25}

Cross multiply. 

25*11= 275

x*x= x^{2}

Find the square root. 

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6 0
3 years ago
The sum of two numbers is 41 . The smaller number is 11 less than the larger number . What are the numbers ?
AleksAgata [21]
26 and 15 is the answer!
4 0
3 years ago
What is the equation of the line that passes through the point (-6, -8) and has a slope of 1/3
ivanzaharov [21]

Answer <u>(assuming it can be in point-slope form)</u>:

y + 8 = \frac{1}{3} (x+6)

Step-by-step explanation:

With the given information, we can use the point-slope formula, y-y_1 = m (x-x_1), to write the equation of the line. Substitute values for the m , x_1, and y_1 in the formula to do so.

The m represents the slope, so substitute \frac{1}{3} in its place. The x_1 and y_1 represent the x and y values of one point the line intersects, so substitute -6 for x_1 and -8 for y_1. This gives the following answer and equation (just make sure to convert the double negatives into positives:  

y-(-8) = \frac{1}{3} (x-(-6))\\y + 8 = \frac{1}{3} (x+6)

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