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Nadusha1986 [10]
3 years ago
8

a village is 20 miles away from Belfast. Connor drives from the village to Belfast at an average speed of 40mph. Kelly drives fr

om the village to Belfast at an average speed of 50mph. How much longer will the journey take Connor in minutes?.
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Answer:

6 minutes

Step-by-step explanation:

Connor drives from the village to Belfast at an average speed of 40mph.

The distance covered is 20 miles.

Time = distance/ speed

Time = 20/40

Time = 0.5 hours

Time = 30 minutes.

Kelly drives from the village to Belfast at an average speed of 50mph.

Time = distance/speed

Time = 20/50

Time = 0.4 hours

Time = 24 minutes

It will take Conor 30 - 24 = 6 minutes longer than Kelly

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<span>bar graph are good for frequencies.</span>
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3 years ago
Given that cos(theta) = 8/17 and that theta lies in Quadrant IV, what is the exact value of sin 2(theta)?
Deffense [45]

Answer:    -\frac{240}{289}

=========================================================

Explanation:

Use the pythagorean trig identity \sin^2(\theta)+\cos^2(\theta) = 1 and plug in the fact that \cos(\theta) = \frac{8}{17}\\\\

Isolating sine leads to \sin(\theta) = -\frac{15}{17}\\\\. I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\

6 0
2 years ago
Find the cost of 12 items if the cost function is C(x) = 2x +12
pantera1 [17]

Answer:

$36

Step-by-step explanation:

we need to find the cost of 12 items, and the function of determining the cost is C(x)=2x+12, where x is the number of items (the input value of the function)

we know that there are 12 items, so in this function, x=12

substitute x as 12 in the function; the x in C(x) also gets substituted as 12, as 12 is the input value and the value of C(x) is the output

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multiply

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7 0
3 years ago
The dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour.convert this speed to ines per minute
DaniilM [7]

<h3>52.68 feet per hour = 10.536 inches per minutes</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

\large {\boxed {a = \frac{v - u}{t} } }

\large {\boxed {d = \frac{v + u}{2}~t } }

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

1 ~ foot = 30.48 ~ cm

1 ~ inch = 2.54 ~ cm

1 ~ foot = 12 ~ inches

\boxed {52.68 ~ feet = 52.68 \times 12 ~ inches = 632.16 ~ inches}

1 ~ day = 24 ~ hours

\boxed {1 ~ hour = 60 ~ minutes}

If the dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour , then :

52.68 ~ feet/h = \frac{52.68 ~ feet}{1 ~ hour}

52.68 ~ feet/h = \frac{52.68 \times 12 ~ inches}{60 ~ minutes}

52.68 ~ feet/h = \frac{632.16 ~ inches}{60 ~ minutes}

\large {\boxed {52.68 ~ feet/h = 10.536 ~ inches/min} }

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

3 0
4 years ago
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