1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marin [14]
3 years ago
14

At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ral

ph Redding drives his car at a constant rate of 170 miles per hour. How long will it take before Ralph gains 2 laps in relation to Lou?​
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

<em>24 minutes</em>

<em></em>

Step-by-step explanation:

Given:

Distance per lap = 2 miles

Speed of Lou Lambert = 160 miles/hr

Speed of Ralph Redding = 170 miles/hr

Speed difference between the two = 170 - 160 = 10 miles/hr

Therefore, we can say that <em>Ralph gains 10 miles in 60 minutes </em>over Lou<em>.</em>

We have to find the time in which Ralph will gain 2 laps i.e. 2 \times 2 = 4 miles.

Let us use unitary method to find the required time.

10 miles are gained by Ralph in 60 minutes

1 mile will be gained in \frac{60}{10} = 6\ minutes

4 miles will be gained in 6 \times 4 = <em>24 minutes</em>

You might be interested in
Which of the following points lie in the solution set to the following system of inequalities?
emmasim [6.3K]
<h3>Answer:</h3>

B. (5, -2)

<h3>Step-by-step explanation:</h3>

Try the points in the inequalities and see what works. Here, we evaluate the point in the first inequality, and if that works, then the second inequality.

A. 2 ≤ -(-5) -5 . . . ⇒ . . . 2 ≤ 0 . . . false

B. -2 ≤ 5 -5 . . . true

... -2 ≥ -(5) -4 . . . true . . . . . . selection B is a viable choice

C. we know from A that the first inequality will be satisfied

... -2 ≥ -(-5) -4 . . . ⇒ . . . -2 ≥ 1 . . . false

D. 2 ≤ 5 -5 . . . . false

6 0
3 years ago
Find the volume of the L shaped composite prism, show clearly how you got your answers
ruslelena [56]

9514 1404 393

Answer:

  510 cm³

Step-by-step explanation:

The overall height of the front face is 9+2 = 11 cm.

The overall width of the front face is 6+4 = 10 cm.

Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.

Then the area of the front face is ...

  (11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²

The volume of the prism can be found using the formula ...

  V = Bh

where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...

  V = (102 cm²)(5 cm) = 510 cm³

The volume of the prism is 510 cm³.

3 0
3 years ago
A tangent from point P to a circle of radius 4 cm is 10 cm long. Find: <br>a the distance of P from the centre of the circle <br
d1i1m1o1n [39]

Answer:

see explanation

Step-by-step explanation:

a

The tangent and the radius at the point of contact form a right angle

Using Pythagoras' identity on the right triangle formed.

Let x be the distance from the centre to P, then

x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

x = \sqrt{116} ≈ 10.77 cm (to 2 dec. places )

b

let the required angle be Θ, then

Using the sine or cosine ratio in the right triangle.

cosΘ = \frac{adjacent}{hypotenuse} = \frac{10}{\sqrt{116} }

Θ = cos^{-1} ( \frac{10}{\sqrt{116} } ) ≈ 21.8°

7 0
3 years ago
Plz help me well mark brainliest if correct ...??????????
7nadin3 [17]

Answer:

Median.

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.

6 0
3 years ago
Read 2 more answers
Solve the equation. 3x + 5 = x - 3
Luden [163]

Answer:

x=-4

Step-by-step explanation:

Subtract x from 3x ( 2x )

2x+5=-3

Subtract 5 from -3 ( -8 )

2x=-8

Divide ( -4 )

x=-4

3 0
2 years ago
Other questions:
  • It costs <a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="88acc8a6bdbf">[email&#160;protected]</a> to bu
    6·2 answers
  • Help guys please I'll give 30 points
    13·1 answer
  • Question 7 Multiple Choice Worth 1 points)
    7·1 answer
  • A pyramid whose length= 12 ft,width = 7ft,and height = 10ft.​
    7·1 answer
  • Does anyone think they can help?? <br> im stuck on this one will give brainy
    7·1 answer
  • What is number 12????????????????
    14·2 answers
  • 14 Which inequality is correct?
    15·2 answers
  • The area of a rectangle with a length of 12m and a width if 4m is ________square meters.
    13·2 answers
  • Please answer this. Find the angles
    11·2 answers
  • Pascal's Triangle
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!