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chubhunter [2.5K]
3 years ago
8

The speed, s, of an ant (in centimeters per second) is related to the temperature, t (in degrees Celsius), by the formula

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

Answer:

binod

Step-by-step explanation:

binod is binod and is binod

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John goes from a sauna at 115 Fahrenheit to an outside temperature of -30 Fahrenheit. What is the change in temperature?
IRINA_888 [86]

Answer: 115 - (-30) = 115 + 30 = 145 degrees change

Step-by-step explanation:

7 0
2 years ago
From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th
wel

Answer:

\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.

<u>Formulas</u>

\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}

\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}

\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}

If the diameter is equal to the side length of the square, then:
\implies \sf r=\dfrac{1}{2}s

Therefore:

\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}

So the ratio of the area of the circle to the original square is:

\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}

Given:

  • side length (s) = 6 in
  • radius (r) = 6 ÷ 2 = 3 in

\implies \sf \textsf{Area of square}=6^2=36\:in^2

\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)

Ratio of circle to square:

\implies \dfrac{28}{36}=\dfrac{7}{9}

5 0
2 years ago
Help need done fast pls.
Arada [10]
The total degrees of a triangle is 180.
So
37+63=100
And well
180-100=80
U=80
5 0
2 years ago
Read 2 more answers
Find y..........................................................................................................................
Tcecarenko [31]

sin30 =  \frac{o}{h}  \\ sin30 =  \frac{5}{x}  \\ x =  \frac{5}{0.5}  \\ x = 10

{10}^{2}  +  {10}^{2}   =  {y}^{2}  \\ 100 + 100 =  {y}^{2}  \\ 200 =  {y}^{2}  \\  \sqrt{200}  = y \\ 14.14 = y\\

4 0
3 years ago
I have 5 cards, the first says -2, the 5th says 26, what is my third number?
Oliga [24]

Answer:

12

Step-by-step explanation:

26+(-2)=26-2=24

24÷2=12

4 0
3 years ago
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