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
xxTIMURxx [149]
3 years ago
8

Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

<em>Jane traveled 8 miles farther then her trainer</em>

Step-by-step explanation:

<u>The Pythagora's Theorem</u>

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

c^2=a^2+b^2

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.

Her total distance traveled is 16 + 12 = 28 miles

Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.

We can calculate the length of his route as:

c=\sqrt{16^2+12^2}

c=\sqrt{256+144}=\sqrt{400}=20

c = 20 miles

The difference between their traveled lengths is 28 - 20 = 8 miles

Jane traveled 8 miles farther then her trainer

You might be interested in
When Devon cashed a $450 check at the bank, the teller gave him 18 bills, all $20 bills and $50 bills. Which system of equations
Ymorist [56]
You have two totals: total # of bills and total amount of $. Using x as #of 20s, and y as # of 50s, you can use the system
x+y=18
20x+50y=450
4 0
3 years ago
Read 2 more answers
Which answer is the same as moving the decimal in 5.3 two places to the left?
yKpoI14uk [10]
The correct answer is A
5 0
3 years ago
0.8752x 78.56<br>3<br>0.00429 X 0.01​
Brums [2.3K]

Answer:

0.00294973268304

Step-by-step explanation:

8 0
3 years ago
A builder wants to build the bridge whose cross section is shown in the diagram. Two companies offer simple bids on building the
leva [86]

The length of the bridge is the distance from the beginning to the end.

<em>The distance b between each beam is 9ft.</em>

Let:

<em />I \to<em> I-Beam</em>

<em />d_I \to<em> distance between I beam and the bridge</em>

<em />b \to<em> distance between each I beam</em>

<em />

Given that:

I = \frac 34 ft\\

d_I = 3 ft

<em />Length = 55ft\ 6in<em> --- length of the  bridge</em>

<em />

From the diagram (see attachment), there are: 6 I-beams.

So, the length of the 6 I-beams is:

L_1 = 6 \times I

L_1 = 6 \times \frac 34

L_1 = \frac {18}4

L_1 = 4.5ft

There are 2 I-beams beside the bridge

So, the distance between the 2 I-beams and the bridge is:

d_1 =2 \times d_I

d_1 =2 \times 3ft

d_1 =6ft

There are 5 spaces between the I-beams

So, the length of the total spaces is:

L_2 = 5 \times b

L_2 = 5b

The total length is:

Length = L_1 + d_1 + L_2

So, we have:

4.5ft + 6ft + 5b = 55ft\ 6in

Collect like terms

5b = 55ft\ 6in - 4.5ft - 6ft

5b = 44.5ft\ 6in

Convert inches to feet

5b = 44.5ft\ + \frac{6}{12}ft

5b = 44.5ft\ + 0.5ft

5b = 45ft

Divide both sides by 5

b = 9ft

<em>Hence, the distance (b) between each beam is 9ft.</em>

Read more about lengths at:

brainly.com/question/22059747

3 0
3 years ago
(t^-4)^-9t^2 <br><br> A)t^26<br> B)t^-26<br> C)t^38<br> D)t^-38
Arisa [49]
The relevant rules of exponents are
.. (t^a)^b = t^(a·b)
.. t^a·t^b = t^(a+b)

You have
.. (t^-4)^-9·t^2
.. = t^((-4)*(-9) +2)
.. = t^38 . . . . . . . . . . . selection C
4 0
3 years ago
Other questions:
  • Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl
    13·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!!!!!1
    12·1 answer
  • Number equal distance from zero but on different sides of zero
    9·1 answer
  • The temperature in degrees fahrenheit was recorded every two hours starting at midnight on the first day of summer. The data sho
    14·2 answers
  • Anyone know the answer to this one? Thanks
    5·2 answers
  • A researcher is running a study to determine how employees of a certain company commute to work. In order to complete the study,
    8·1 answer
  • What is the value of the expression 145÷27?
    11·2 answers
  • What are the coordinates A’ after 90 counterclockwise rotation about the origin.
    10·1 answer
  • 3x + 5 = -2 it’s just the he numbers it says it is to short
    14·1 answer
  • (a) Fiona has $450 in her savings account. She deposits $40 each month. Liam has $975 in his checking account. He writes a check
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!