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Brut [27]
3 years ago
8

A cyclist rides a distance of 36 km at an average speed of 16 km/h.

Mathematics
1 answer:
Advocard [28]3 years ago
3 0

Answer:

2.25 hours

Step-by-step explanation:

Given data

distance= 36 km

speed= 16 km/h

Speed= distance/time

substitute

16= 36/t

t= 36/16

t= 2.25 hours

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Solve for x in the equation 2x^2-4x-9=29
Andrews [41]

Answer:

x = 1  ±2sqrt(5)

Step-by-step explanation:

2x^2-4x-9=29

Add 9 to each each side

2x^2-4x-9+9=29+9

2x^2-4x=38

Divide by 2

2/2x^2-4/2x=38/8

x^2 -2x =19

Complete the square

x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2

x^2 -2x +1 = 19+1

(x-1)^1=2 = 20

Take the square root of each side

sqrt((x-1)^2) = ±sqrt(20)

x-1 =  ±sqrt(20)

Add 1 to each side

x-1+1 = 1  ±sqrt(20)

x = 1 ±sqrt(20)

Simplifying the square root of 20

x = 1  ±sqrt(4)sqrt(5)

x = 1  ±2sqrt(5)

3 0
3 years ago
Brainliest to most helpful! Answer asap!
kap26 [50]

ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA

The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite

Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent

The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle

θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3

α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
8 0
3 years ago
Let f(x)=x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 uni
Mrac [35]

Answer:

g(x) = 4x + 4

Step-by-step explanation:

The given function is f(x)=x.

If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

g(x) = 4f(x) + 4

But f(x)=x

We substitute to obtain the equation of g(x) as

g(x) = 4x + 4

8 0
3 years ago
Read 2 more answers
Please Answer<br> 6. Find mABC <br> 7. If mPQ =(5x +17)° , find x. <br> 8. Find m∠1
lys-0071 [83]

Answer:

The answer is

252

25.4

125

7 0
2 years ago
The table lists the number of male and female students at Lakeside High School. What is the probability of selecting a female st
Ronch [10]

Answer:

50 percent

Step-by-step explanation:

7 0
3 years ago
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