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
Likurg_2 [28]
3 years ago
9

You start driving north for 7 miles, turn right, and drive east for another 24 miles. At the end of driving, what is your straig

ht line distance from your starting point?

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

AC = 25\ miles

Step-by-step explanation:

Given:

Distance for north side = 7 miles.

Distance for east side = 24 miles.

We need to find the displacement.

Solution:

Figure shows Point A is starting point and AB = 7 miles is North side distance and BC = 24 miles is east side distance and AC is shown as displacement.

Using Pythagoras theorem to find displacement (AC).

(AC)^{2}=(AB)^{2}+(BC)^{2}

Substitute AB = 7 and BC = 24 in above equation.

(AC)^{2}=(7)^{2}+(24)^{2}

(AC)^{2}=49+576

(AC)^{2}=625

AC = \sqrt{625}

AC = 25\ miles

Therefore, displacement of the car AC = 25\ miles

You might be interested in
the weight of an object on a particular scale is 175.2 lbs .the measured weight may vary from the actual weight be at most 0.1 l
WINSTONCH [101]
<h2>Answer:</h2>

The range of actual weights of the object is:

                     175.1 lbs to 175.3 lbs.

<h2>Step-by-step explanation:</h2>

The measured weight of the object  on a particular scale is: 175.2 lbs .

Also, as it is given that the measured weight may vary from the actual weight be at most 0.1 lbs.

If x could be the actual weight of the object then we have:

          |x-175.2|\leq 0.1\\\\i.e.\\\\-0.1\leq x-175.2\leq 1\\\\i.e.\\\\175.2-0.1\leq x\leq 175.2+0.1\\\\i.e.\\\\175.1\leq x\leq 175.3

         Hence, the range of the weight is:

           175.1 lbs to 175.3 lbs.

8 0
2 years ago
2 Points
Ne4ueva [31]

Answer: A=52.3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
59:41 To build the roof for a paper house, a rectangular paper is cut to form a trapezoid. Which diagram shows the correct cuts?
Free_Kalibri [48]

Answer:

Step-by-step explanation:

wheres the diagram?

7 0
3 years ago
Read 2 more answers
Please help, I can't figure out how to set this up. There's supposed to be 2 equations.
Valentin [98]

Hello from MrBillDoesMath

Answer:     + 4/7,   6 (13/14)

Discussion:

Let L be the larger of the two numbers and S the smaller of the two. Then the first sentence translates into this:


-6L - L = -4  =>

-7L = -4        =>          (divide both sides by -7)

L = - (-4)/(-7) = + 4/7       (*)


The second sentence translates to

2 (L + S) = 15  =>               (divide both sides by 2)

(L +S) = 15/2  =>                (subtract L from each side)

S = 15/2 - L = 15/2 - 4/7    (using (*) above)

So

S = 15*7/(2*7) - (4*2)/(7*2)       (combine over common denominator of 14)

S = 105/14 - 8/14 = 97/14 = 6 13/14

Something is crazy here!    While 2(L +S) = 15  -- check it out -- our larger number L ( =4/7) is actually smaller than the S number (6 13/14)!  Maybe I should have called them Y and X, respectively, as you suggested!

Thank you,

Mr. B


7 0
3 years ago
A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =
ludmilkaskok [199]

Answer:

t  = 0.375s

Step-by-step explanation:

Given

h(t) = -16t^2 + 4t + 33 --- driver 1

Rate = 2ft/s -- driver 2

height = 33ft

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

Rate = 2ft/s and height = 33ft

So, the function is:

h_2(t) = Height - Rate * t

h_2(t) = 33 - 2t

The time they drive pass each other is calculated as:

h(t) = h_2(t)

-16t^2 + 4t + 33= 33 - 2t

Collect like terms

-16t^2 + 4t + 2t= 33 - 33

-16t^2 + 6t= 0

Divide through by 2t

-8t + 3= 0

Solve for -8t

-8t  = -3

Solve for t

t  = \frac{-3}{-8}

t  = 0.375s

7 0
2 years ago
Other questions:
  • Philip ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday.
    9·1 answer
  • Peggy had 4 times as many quarters as nickels. She had $2.10 in all. How many nickes and how many qurters did she have ?
    15·1 answer
  • Pears cost $0.92 per pound and apples cost $1.10 per pound. Mr.Bonilla bought 3.75 pounds of pears and 2.1 pounds of apples. How
    12·1 answer
  • the ratio of boys to girls in a class is 7:5 . there are 36 students in the class. how many students are boys​
    9·2 answers
  • 6th grade math help me please ! :))
    5·2 answers
  • A color printer prints 28 pages in 8 minutes.<br> How many pages does it print per minute?
    11·2 answers
  • Which expression is equivalent to 4sqrt x10?<br> Need answers ASAP!!
    14·1 answer
  • What is the measure of 1
    13·1 answer
  • Anna and Henry are raking their yard. Anna has raked 5/12 of the yard and Henry has raked 4/9 of the yard. What fraction of the
    14·1 answer
  • Please guys i need my grades to be up in 3 weeks :( i need all the help i can get
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!