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irina1246 [14]
3 years ago
8

O que é temperatura?​

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

what is the temperature

Step-by-step explanation:

48 degrees F

48 grados F

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5. A leaky faucet drips at the rate of 300 mL per hour. How long will it take to fill a 10 liter container?​
In-s [12.5K]

it will take to fill a 10 liter container= 33.3 hours

6 0
3 years ago
9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?
SSSSS [86.1K]

Answer:

Part 4) r=84\ units

Part 9) sin(\theta)=-\frac{\sqrt{5}}{3}

Part 10) sin(\theta)=-\frac{9\sqrt{202}}{202}

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

we know that

The circumference of a circle subtends a central angle of 360 degrees

The circumference is equal to

C=2\pi r

using proportion

\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}

simplify

\frac{r}{180^o}=\frac{56}{120^o}

solve for r

r=\frac{56}{120^o}(180^o)

r=84\ units

Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

Remember the trigonometric identity

cos^2(\theta)+sin^2(\theta)=1

we have

cos(\theta)=-\frac{2}{3}

substitute the given value

(-\frac{2}{3})^2+sin^2(\theta)=1

\frac{4}{9}+sin^2(\theta)=1

sin^2(\theta)=1-\frac{4}{9}

sin^2(\theta)=\frac{5}{9}

square root both sides

sin(\theta)=\pm\frac{\sqrt{5}}{3}

we know that

If ∅ lies in Quadrant III

then

The value of sin(∅) is negative

sin(\theta)=-\frac{\sqrt{5}}{3}

Part 10) The terminal side of ∅ passes through the point (11,-9). What is the exact value of sin(∅) in simplified form?    

see the attached figure to better understand the problem

In the right triangle ABC of the figure

sin(\theta)=\frac{BC}{AC}

Find the length side AC applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

AC^2=11^2+9^2

AC^2=202

AC=\sqrt{202}\ units

so

sin(\theta)=\frac{9}{\sqrt{202}}

simplify

sin(\theta)=\frac{9\sqrt{202}}{202}

Remember that      

The point (11,-9) lies in Quadrant IV

then      

The value of sin(∅) is negative

therefore

sin(\theta)=-\frac{9\sqrt{202}}{202}

5 0
3 years ago
Express 20 cm to 400 mm in simplest form
solong [7]

Answer:

Step-by-step explanation:

36/24 or 3/2

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Classify the triangle based on its sides
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8 0
2 years ago
A square in a rectangle have the same perimeter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2
Thepotemich [5.8K]

The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

Step-by-step explanation:

The given is,

                A square in a rectangle have the same perimeter

                The length of a side of the square is 4x-1

                The length of the rectangle is 2x+2 and width is 2x

Step:1

                Let, a - Side of square

                        l - Length of the rectangle

                       w - Width of the rectangle

Step:2

                Formula for perimeter of square is,

                                    p=4a.............................(1)

                Formula for perimeter of rectangle is,

                                   p=2(l+w)....................(2)

Step:3

                From given,

                            Equation (1) = Equation (2)

                                 4a = 2 (l+w)

               where,

                         a = 4x-1

                          l = 2x+2

                         w = 2x

               Substitute the values,

                       4 ( 4x-1 ) = 2 ( 2x+2+2x )

                            16x - 4 = 2 (4x + 2)

                            16x - 4 = 8x + 4

                          16x - 8x = 8                      

                                   8x = 8

                                     x = 1

Step:4

         Substitute the values of x,

                   a = 4(1)-1 = 3

                     l = 2(1)+2) = 4

                   w = 2(1) = 2

          Perimeter of square and rectangle is 12 units

Result:

           The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

5 0
2 years ago
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