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
nasty-shy [4]
3 years ago
7

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the

solid lines. Other times, he takes the shortcut shown by the dashed line.
A right triangle. The distance from the angle with measure 90 degrees to Job is 15 kilometers. From the angle to Home is a. They hypotenuse is 17 kilometers.


How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?

6 kilometers

8 kilometers

23 kilometers

32 kilometers

Mark this and return

Mathematics
2 answers:
azamat3 years ago
8 0

Answer:

a

Step-by-step explanation:

on edge

notka56 [123]3 years ago
5 0

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

You might be interested in
Question 9 - (3 marks available)
finlep [7]

Answer: a) 1,600

              b) 35,000

              c) 120,000

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

First, round each number to one significant digit (the first digit).

Then multiply them.

a) 17   --> rounds to 20

  82   --> rounds to 80

                                       20 x 80 = 2 x 8 with two zeros

                                                     = 1 6 0 0

b) 54   --> rounds to 50

  671   --> rounds to 700

                                       50 x 700 = 5 x 7 with three zeros

                                                       = 3 5 0 0 0

c) 207   --> rounds to 200

  643   --> rounds to 600

                                       200 x 600 = 2 x 6 with four zeros

                                                          = 1 2 0 0 0 0

6 0
3 years ago
Is this relation a function?
Sliva [168]

Answer:

True

Step-by-step explanation:

First two points are inverse of last two points, all points reflects each other over y = -x

3 0
3 years ago
When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 49 b
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Given that A shipment contains 6000 ​batteries, and 1​% of them do not meet specifications.

Sample size =49

If x is the number of batteries not meeting specifications then

x is binomial with n =49 and p = 0.01

Because i) each toy is independent of the other

ii) There are only two outcomes

Probability whole shipment is accepted = Prob (X≤3)

=0.9885

Hence almost all shipments would be accepted.

4 0
3 years ago
Given below are some inequalities. Plot the feasible region graphically.
igor_vitrenko [27]

Answer:

0-89x=78/-43

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In a triangle what is always opposite the angle with the greatest measure
Llana [10]
The longest side

Think about it. The widest angle would leave a resulting long side to reach the ends of the angle 

If you look at the picture, the side across from the widest angle has the longest length

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the inverse of the function fx=19/x3
    15·1 answer
  • It requires 15 gallons of mulch to cover 5 flowerbeds.How many gallons are needed to cover 7 flowerbeds?
    6·2 answers
  • Student Council is selling candy grams. They are using the formula
    8·1 answer
  • I will rate brainly if you answer this The number of weekly social media posts varies directly with the square root of the poste
    5·2 answers
  • the mathematics Department of a college has 11 male professors 12 female professors 9 male teaching assistants and 12 female tea
    11·1 answer
  • An f-statistic is used to select one:
    8·1 answer
  • Find the value of x.
    5·2 answers
  • 2. 7 2/6 + 1/12 = M
    14·1 answer
  • Today 12% of the people that went to Dunkin Donuts,got a free donut. 500 people went to Dunkin today. How many people did NOT ge
    15·1 answer
  • Mooberry Creamery uses 2 cups of ice cream in each milkshake. How many milkshakes can they make with 1 gallon of ice cream?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!