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Maurinko [17]
3 years ago
8

the temperature of the water in Emily's fish tank was 78 degrees F on Sunday the water temperature was changed by -3 on Monday a

nd then by 3 degrees on Tuesday what integer represents the temperature change of the water from Sunday to Tuesday what was the water temperature on Tuesday
Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

To solve this problem, let us analyze this step by step. The temperature for each day is as follows:

 

Water temperature on Sunday = 78 degrees F

Water temperature on Monday = changed by -3 degrees F

Water temperature on Tuesday = changed by 3 degrees F

 

We can see that the total change of water temperature from Sunday to Tuesday is:

-3 + 3 = 0

Therefore there is zero overall change. There the integer which represents the temperature change is “0”.

 

Since the overall change in water temperature is zero, hence the temperature on Sunday and on Tuesday is similar.

Water temperature on Tuesday = 78 degrees F

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A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The paral
saveliy_v [14]

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

A_{t} = A_{r} + 2A_{c}                

A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2})      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2}                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

3 0
3 years ago
PLEASE PLEASE HELP !!
Virty [35]

Answer:

∠G = 23.3

∠H = 42.8

∠J = 19.9

Step-by-step explanation:

<em>Tan(G) = 0.43</em>

=> G = Tan⁻¹(0.43)

=> <u>∠G = 23.3</u>

<em>Sin(H) = 0.68</em>

=> H = Sin⁻¹(0.68)

=> <u>∠H = 42.8</u>

<em>Cos(J) = 0.94 </em>

=> J = Cos⁻¹(0.94)

=> <u>∠J = 19.9</u>

Hope this helps!

6 0
3 years ago
A right triangle is a triangle that includes one right angle, measuring 90
sleet_krkn [62]

Answer:

B) one 90 degree angle

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which of the following trigonometric ratios are correct?
notka56 [123]

9514 1404 393

Answer:

  D, F

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with this. It reminds you ...

  Sin = Opposite/Hypotenus

  sin(40°) = x/b . . . . matches D

  Cos = Adjacent/Hypotenuse

<em>   cos(40°) = a/b . . . . no match</em>

  Tan = Opposite/Adjacent

  tan(40°) = x/a . . . . matches F

8 0
2 years ago
John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21 About how far does
Agata [3.3K]

Answer:

John ski down the mountain is 1285.37 feet.

Step-by-step explanation:

Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.

To find : About how far does  John ski down the mountain ?

Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. \theta=21^\circ

We have to find how far does  John ski down the mountain i.e. AC = ?

Using trigonometric,

\cos\theta = \frac{AB}{AC}

\cos(21)= \frac{1200}{AC}

AC=\frac{1200}{\cos(21)}

AC=1285.37

Therefore, John ski down the mountain is 1285.37 feet.

7 0
3 years ago
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