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
olga55 [171]
3 years ago
9

Shelly is trying to improve her running time for a track race. She ran the first race in 43.13 seconds. Her time was 43.1 second

s in the second race and 43.07 seconds in the third race. If this pattern continues what will shellys time be in the fourth race?
Mathematics
1 answer:
saul85 [17]3 years ago
8 0
<h3>The time in fourth race is 43.04 seconds</h3>

<em><u>Solution:</u></em>

Given that,

Shelly is trying to improve her running time for a track race

She ran the first race in 43.13 seconds

Her time was 43.1 seconds in the second race and 43.07 seconds in the third race

<em><u>Therefore, pattern is:</u></em>

43.13, 43.1, 43.07 , ..

<em><u>Find the difference between each terms</u></em>

d = 43.13 - 43.1 = 0.03

d = 43.1 - 43.07 = 0.03

Thus the difference is same

<em><u>If this pattern continues what will shellys time be in the fourth race?</u></em>

Fourth race = third race - 0.03

Fourth race = 43.07 - 0.03 = 43.04

Thus the time in fourth race is 43.04 seconds

You might be interested in
First derivative of 5x
Mashutka [201]
The first derivative is 5
4 0
4 years ago
Which of the following is a solution to sin(x/2) = radical 3/2
Vinvika [58]

Answer:

sin ( x/ 2 )  =  - √ 3 /2

Take the inverse sine of both sides of the equation to extract  x

from inside the sine.

x/ 2 = arcsin ( − √ 3/ 2 )

The exact value of  arcsin ( − √ 3 /2 )  is  − π /3 .

/x 2 = − π /3

Multiply both sides of the equation by  2 .

2 ⋅ x /2 = 2 ⋅ ( − π /3 )

Simplify both sides of the equation.

x = − 2 π /3

The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from  2 π , to find a reference angle. Next, add this reference angle to  π  to find the solution in the third quadrant.

x /2 = 2 π + π/ 3 + π

Simplify the expression to find the second solution.  

x = 2 π /3  

4 π

Add  4 π  to every negative angle to get positive angles.  

x = 10 π /3

The period of the  sin ( x /2 )  function is  4 π  so values will repeat every  4 π  radians in both directions.

x =2 π /3 + 4 π n , 10 π/ 3 + 4 π n , for any integer  n

Exclude the solutions that do not make  sin ( x /2 ) = − √ 3/ 2  true.

x = 10 π /3 + 4 π n , for any integer  n

4 0
3 years ago
Can you please help me solve this equation?
TiliK225 [7]

Answer: ((T/(2pi))^2)g

Step-by-step explanation: just solve for L

4 0
3 years ago
50 POINTSS!!!
Yuri [45]
(A) Either of
• rotation 180° about point B
• reflection across point B

(B) If the transformation is rigid, the corresponding sides and angles are congruent.

(C) The sequence of letters tells you the correspondence.
  AB ⇔ DB
  AC ⇔ DE
  BC ⇔ BE
  ∠A ⇔ ∠D
  ∠ABC ⇔ ∠DBE
  ∠C ⇔ ∠E
5 0
3 years ago
Solve for x. x−2.7 ≥ 10.3x
Nana76 [90]
0.23893805309 \geq x
4 0
3 years ago
Other questions:
  • Plz plz plz help plz plz
    7·1 answer
  • CAN YOU PLEASE HELP ME WITH THIS
    15·1 answer
  • If f (x)=x2and g(x)=x+6find g(f(0))
    7·2 answers
  • Complete the equation of the graphed linear function. Write the slope in decimal form. y = x + The graph of the function goes th
    7·1 answer
  • The p-value for a two-sided test of the null hypothesis H0: μ = 10 is 0.06. Would a 95% confidence interval for μ include the va
    15·1 answer
  • 18. The cuboid shown below is made of 3 unit cubes like the one to its left: If the surface area of the cube is 18 sq. Cm, what
    14·1 answer
  • HELP ME IVE ASKED MANY TIMES :(
    14·2 answers
  • Aeg = 10 solve for g
    7·1 answer
  • I need helppp <br> Solve for e
    15·1 answer
  • If x = 3 and y=-2 then -2xy⁴ is?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!