The length of a jogging trail is 3528 m. A jogger wants to complete the trail within 30 min.



How many meters must the jogger travel each minute?

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

edge 2020

The value of sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

Trigonometry the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.

Given:

sin(80) cos(20°) - cos(80°) sin(20°)

Using Trigonometric identity

sin ( A- B) = sin A cos B - cos A sin B

So, sin(80) cos(20°) - cos(80°) sin(20°)

= sin (80 - 20)

= sin 60

= √3/2

Hence,  sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

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Answer:

there are 10.6 water bottles of 12 oz in a US gallon.

Step-by-step explanation:

Answer:

It would be an acute scalene triangle

Step-by-step explanation:

All angles measures are less than 90 so it would be acute. No sides are equal so it would be scalene.

We can classify this triangle as Scalene Acute triangle.

We have a triangle angle measures of 82, 75 and 23 and no sides equal (congruent) in length.

We have to classify this triangle.

A triangle is a plane figure with three straight sides and three angles.

According to question, we have -

A triangle with no side congruent and all angles acute and unequal.

If all the three sides of a triangle are of same length, then the sides are said to be congruent. In an Equilateral triangle all the sides are congruent. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle. An acute angle triangle (or acute-angled triangle) is a triangle in which all the interior angles are acute angles i.e. 0 < [tex]\theta[/tex] < 90. Therefore, it is a Scalene acute triangle.

Hence, we can classify this triangle as Scalene Acute triangle.

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Step-by-step explanation:

19,800 is your answer because you want to subtract the number 14 and divide 14,900 plus 3,309

Answer: y=2x-1

Step-by-step explanation:

Equation of a line that passes through (a,b) and have slope m is given by :-

[tex](y-b)=m(x-a)[/tex]   [point slope form]

Given, Point = (4,7)  , m= 2

Equation in point slope form :   [tex](y-7)=2(x-4)[/tex]

To write in slope intercept form (y=mx+c) , we need to simplify it

[tex]y-7= 2x-8\\\\\Rightarrow\ y-2x=-8+7\\\\\Rightarrow\ y-2x=-1\\\\\Rightarrow\ y=2x-1[/tex]

Hence,  y=2x-1

Answer:

68 = 01101000 (binary)

Answer:

1101000 Sorry i didnt put the right value here now its binary

Step-by-step explanation:

Hex 68 to decimal explained:

The value of HEX 68 in decimal is 104.

The value of HEX 68 in binary is 1101000.

8 8 X 160 = 8

6 6 X 161 = 96

HEX 68 = 104

the binary value is: 1101000

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST

Answer:

-6x

Step-by-step explanation:

2x - 8x = -6x

Answer:

a=60

Step-by-step explanation:

For Question 18. C.

For Question 19.  C.

For 18:

65% of  75 is 45 so you simply subtract 75 and 45 to get the answer of  $30.00

For 19:

You divided  196 by 1/3 and get 65.3333333333 which comes out to 65.

Answer:

x/5

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

[tex]f(5)=1024[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=a^x[/tex]

Where a>0.

We know that f(4)=256. Therefore:

[tex]\displaystyle f(4)=a^4=256[/tex]

So:

[tex]a^4=256[/tex]

Find the value of a. Take the fourth root of both sides:

[tex]a=\sqrt[4]{256}=4[/tex]

Therefore, our function is:

[tex]f(x)=4^x[/tex]

Hence:

[tex]f(5)=4^5=1024[/tex]

Answer:

Ok this is super easy

Step-by-step explanation:

120 for every one hour

so 120 x 3 isssss????

120 x 3 = 360 mile per hour

Hope I helped sorry If you get it wrong

Answer:

y= -4x-12  

     -4x

y= -12

Step-by-step explanation:

So Y is equal to -4x minus 12. You subtract the -4x by itself that will leave you with zero. And then you bring down Y and -12, and it will say that Y is equal to -12.

Answer:

X Y

0 -12

3 -24

-3 0

Step-by-step explanation:

Hello! I have done this test and the answer is!..... D: S=7

Have a great day!!!

Answer:

Shopkeepers gain just by weighing is 22.22%

Step-by-step explanation:

Explanation:

Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.

As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.

Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.

So while selling 1.1x becomes 1.1x0.90=1.2222... units.

Hence, shopkeepers gain just by weighing is 22.22%

Answer:

1:35

Step-by-step explanation:

Answer:

It will be 1:35

Step-by-step explanation:

2:00 - 25 = 1:35.

Answer:

Slope = [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

(x₁ , y₁) = (-9 , -4)   & (x₂ ,y₂) = (-3, -6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]

Answer:

DB,AB,AD,CD,AC

Answer:

S = $336

Step-by-step explanation:

Given the following data;

Principal, P = $600

Rate, R = 7

Time, T = 8 years

To find the simple interest?

Mathematically, it is given by the formula;

Simple interest, S = (P*R*T)/100

Substituting into the equation, we have;

S = (600*7*8)/100

Simplifying the equation, we have;

S = 6*7*8

S = $336

Answer:

Domain: 0,1,2

The relation is a Function.

Step-by-step explanation:

hope this helps

A relation may or  may not be a function.

The relation is given as:

[tex]\mathbf{(x,y) = \{(0,0),(1,1),(2,0)\}}[/tex]

List out the x-values

[tex]\mathbf{x = \{0,1,2\}}[/tex]

The above set means that the x-values starts from 0 and ends at 2.

Hence, the domain is: [0,2]

For a relation to be a function, all y-values of the relation must point to different x-values.

So, we can say that, the given relation is a function, because all y-values have unique x values

Read more about relations and functions at:

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Answer:

and the fire is so delightful  its let it snow let it snow

Step-by-step explanation:

Answer:

And the children are o so spiteful

Step-by-step explanation:

Answer:

Step-by-step explanation:

You should factorize so

P2 + 24p + 23

P2 + 23 p + p + 23

P(p + 23) + 1(p + 23)

(p + 23) and ( p + 1) are the factors

Answer:

Step-by-step explanation:

m = - 5

Answer:

it is 10 pounds

Step-by-step explanation:

Answer:

10 and 1/3

Step-by-step explanation:

Answer:

10

1/3

Step-by-step explanation:

Answer:

-0.2084

Step-by-step explanation:

[tex] log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084[/tex]

Answer:

100+100=200 it's an mathmatecial answer

Answer:

C

Step-by-step explanation: $5=$20(x)

Answer:

C

Step-by-step explanation:

i did the test on edg 2020

Answer:

WHAT ANGLE THERE IS NO ANGLE

Step-by-step explanation: