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2 years ago

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Mathematics

1 answer:

nignag [31]2 years ago

7 0

Answer:

n∈∅, no solutions.

Step-by-step explanation:

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Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.

AnnyKZ [126]

Circumference is Diameter * 3.14

so D * 3.14 = 31.4

31.4 / 3.14 = 10 so the diameter is 10.

the radius is half of the diameter so radius = 5 centimeters.

4 0

2 years ago

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(1 point) 1. The height (in feet) and volume of usable lumber (in cubic feet) of 32 cherry trees are measured by a researcher. T

Thepotemich [5.8K]

Answer:

C. volume

Step-by-step explanation:

The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.

3 0

2 years ago

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

8 0

3 years ago

Please help!

mr Goodwill [35]

Answer:

1. $\sqrt{74}$ ft 2. $50\sqrt{2}$ yards 3. $5\sqrt{35}$ units.

Step-by-step explanation:

Pythagorean's Theorem $a^2 + b^2 = c^2$

A and b are both side lengths, c is the hypotenuse.

7^2 + 5^2 = 74

sqrt(74) is the answer for 1.

30^2 - 5^2 = 875

Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.

There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.

7 0

2 years ago

Here's the rest of my points for anyone who wants them :)

kramer

Answer:

Step-by-step explanation:

line in the middle is an angle bisector

14/6 = 21 / 3x - 12

first, cross multiply

14 (3x - 12) = 6*21

Remove the brackets

42x - 168 = 126

Add 168 to both sides

42x = 168 + 126

Combine

42x = 294

Divide by 42

x = 294/42

x = 7

chegg

brainly.com/question/16979551?utm_source=android&utm_medium=share&utm_campaign=question

3 0

1 year ago

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