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antoniya [11.8K]
3 years ago
14

X^2 + 4.7^2 = 13.4^2

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

x =   - \: 12.55 \: or \: x = 12.55

Step-by-step explanation:

We want to solve for x in

{x}^{2}  + 4.7^{2}   = 13.4^{2}

We group constants on the right to get:

{x}^{2}  = 13.4^{2}  -  {4.7}^{2}

We apply difference of two squares

{x}^{2}  = (13.4  -  {4.7})(13.4 + 4.7)

{x}^{2}  = 157.47

x =  \pm \sqrt{157.47}

x =  \pm \: 12.55

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Dr. Goodrich wanted to demonstrate that his tires were better than those of his competitor, Dr. Goodyear. From car registration
dem82 [27]

Answer:

Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving

Step-by-step explanation:

Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.

Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear

  • Dependent Variable is the 'Tire tread wear '.
  • Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc

Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.

In this case : Individuals driving the vehicles could be a confounding variable. A  particular person could wear out tire more than another person.  

6 0
3 years ago
the area of a rectangular field 4641 m squared. If the width of the field is 51 m, what is its length?
shusha [124]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The length of the field is 91 m.

Divide to find the missing length:

4641 ÷ 51 = 91

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

5 0
2 years ago
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klasskru [66]
I hope this helps you

7 0
3 years ago
A plane perpendicular to the base of a cone passes through the apex. Which shape is formed by the intersection?
worty [1.4K]

Answer:

  D) triangle

Step-by-step explanation:

The attached image may be helpful to visualizing what the cross section looks like. It is a triangle.

5 0
3 years ago
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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).
o-na [289]

Answer:

S'(t) = 0.09t^2 + t + 9

S(2) = 24.24

S'(2) = 11.36

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

\frac{dS(t)}{dt} =S'(t) = 0.09t^2 + t + 9

S(2) is found by applying t=2 to S(t):

S(2) = 0.03*(2^3) + 0.5*(2^2) + 9*2 + 4\\S(2)= 24.24

S'(2) is found by applying t=2 to S'(t):

S'(2) = 0.09*(2^2) + 2 + 9\\S'(2) = 11.36

Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

8 0
3 years ago
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