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goldfiish [28.3K]
4 years ago
9

A cake recipe says to bake the cake until the center is 180degrees​F, then let the cake cool to 120degreesF. The table shows tem

perature readings for the cake.
Mathematics
1 answer:
miss Akunina [59]4 years ago
6 0
What is your question?
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What is Statement 1? Please help!
Kipish [7]
Always state the given first
Rewrite the Given show above for statement 1 and for reasons 1 write "Given"
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A square tabletop has an area of
tiny-mole [99]

s = 3x - 15 is the required expression for perimeter of table top

Perimeter of square tabletop is 240 cm

<em><u>Solution:</u></em>

A square tabletop has an area given as:

(9x^2 - 90x+225) cm^2

The dimensions  of the tabletop have the form cx - di  ,where cand d are whole numbers

To find perimeter of tabletop when x = 25 centimeters

Let us first find the length of each side of square

<em><u>Given area is:</u></em>

area = (9x^2 - 90x+225)

We know that,

area = (side)^2 = s^2

Therefore,

s^2 = (9x^2 - 90x+225)\\\\s^2 = (3x - 15)(3x - 15)\\\\s^2 = (3x - 15)^2

Taking square root on both sides,

s = 3x - 15

The above expression is the required expression for perimeter of table top

<em><u>To find perimeter when x = 25 centimeter</u></em>

<em><u>The perimeter of square is given as:</u></em>

perimeter = 4s

perimeter = 4(3x - 15)

Substitute x = 25

perimeter = 4(3(25) - 15)

perimeter = 4(60) = 240

Therefore perimeter of square tabletop is 240 cm

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=65%20%5Ctimes%2098%20%5Cdiv%2032%20-%2065%20%5Ctimes%207544" id="TexFormula1" title="65 \times
Volgvan
65 * 98 / 32 - 65 * 7544 =
6370 / 32 - 490360 =
199.0625 - 490360 =
-490160.9375
4 0
3 years ago
On circle C points A and B are separated by an arc whose length is 18 centimeters. If the radius of C is 8 centimeters, what is
alex41 [277]

Answer:

2.25 radians

Step-by-step explanation:

First we need to find the length of the circunference, using the formula:

C = 2 * pi * r

Where r is the radius. Using r = 8, we have:

C = 2 * pi * 8 = 50.2655 cm

Now, to find the measure of the central angle related to that arc of 18 cm, we can use a rule of three, knowing that the whole circunference has a central angle of 2pi radians:

2pi rad -> 50.2655 cm

x -> 18 cm

x = 18 * 2pi / 50.2655

x = 2.25 rad

6 0
3 years ago
I need help, please and thank you. I know that you have to multiply the diameter by 2 to find the radius, but with the 9 pi, it
andrew11 [14]

Answer:

r=6

Step-by-step explanation:

The area of a circle is given by πr². Note that this uses the radius, not the diameter.

Now, one quarter of this area (ABC) is given to be 9π.

So apparently:

\frac14 \pi r^2 = 9\pi

If you solve this:

\frac14 r^2 = 9 (divide both sides by π)

r^2 = 9\cdot4 (multiply both sides by 4)

so

r = √36 = 6

so the radius is 6.

4 0
3 years ago
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