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3 years ago

A recipe will make 10 pancakes that are 8 inches in diameter. If you decide to

1 answer:

8 0

10 pancakes produces 8 inches in diameter.
The area of 1 pancake is
Area = pi * r^2
Area = pi * 4^2
Area = 50.27 in^2
Then multiply it by 10
Total area = 502.65 in^2

A smaller pancake
Area = pi * r^2
Area = pi * 2^2
<span>Area = 12.56 in^2

Divide 502.65 by 12.56
= 502.65 / 12.65
= 39.74

So there are 39 pancakes.

</span>

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F (x) =3(x-2) given that f(t) =6, find t

lina2011 [118]

Answer:

$\qquad{:}\longrightarrow\tt f (x)=3 (x-2)$

$\qquad{:}\longrightarrow\tt f (t)=3 (t-2)$

$\qquad{:}\longrightarrow\tt f(t)=6$

$\qquad{:}\longrightarrow\tt 3 (t-2)=6$

Simplify

$\qquad{:}\longrightarrow\tt 3t-2=6$

$\qquad{:}\longrightarrow\tt 3t=6+2$

$\qquad{:}\longrightarrow\tt 3t=8$

$\qquad{:}\longrightarrow\tt t=\dfrac{8}{3}$

$\therefore\sf t=\dfrac{8}{3}$

6 0

3 years ago

HELP

Ket [755]

Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.

<h3>How can the duration of signal reception be found?</h3>

Radius of broadcast of the transmitter = 50 miles

Location of starting point = 56 miles north of the transmitter

Location of destination city = 58 miles east of the transmitter

Therefore we have;

Slope of the line joining the two cities

= 56 ÷ (-58) = -0.966

Which gives the equation of the line as follows;

y = -0.966•x + 56

The equation of the circle is;

${x}^{2} + {y}^{2} = {50}^{2}$

${x}^{2} + { ( - 0.966x + 56)}^{2} = {50}^{2}$

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

x = 6.67 or x = 49.29

Therefore;

When x = 6.67, we have;

y = -0.966 × 6.67 + 56 = 49.56

When x = 49.29, we have;

y = -0.966 × 49.29 + 56 = 8.4

The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;

l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>

The length of the drive during which the signal is received is 59.24 miles

Learn more about the equation of a circle here:

brainly.com/question/502872

#SPJ1

5 0

2 years ago

Please simplify the following equation and show how:<br> (2x+2)^3

Natasha_Volkova [10]

You can use (a+b)2 = a2+2ab+b2.
(2x - 3)2 = (2x)2 + 2(2x)(-3) + (-3)2 = 4x2 - 12x + 9

Or you can use FOIL.

(2x - 3)2 = (2x - 3)(2x - 3) = (2x)2 + (2x)(-3) + (-3)(2x) + (-3)2 = 4x2 - 12x + 9

hope I could be helpful

7 0

3 years ago

Read 2 more answers

A hot air balloon can hold u to 300 pounds of weight the balloons pilot weighs 140 pounds how many 20 pound bags of sand b can h

Mashcka [7]

You can have 8, 20lb bags of sand plus the balloon pilot

3 0

3 years ago

Slope = 1.75; (10, 16.5)

vazorg [7]

Do you want the equation of the line given the slope and a point it goes through?

y - y1 = m (x - x1)
y - 16.5 = 1.75 (x - 10)
y - 16.5 = 1.75x -17.5
y = 1.75x - 1

8 0

3 years ago