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
il63 [147K]
3 years ago
14

Zack measured a rectangular garden at the park. The longer sides each measured 15 feet and were 3 times longer than the shorter

sides. If Zack walked all the way around the garden, how far did he walk?
Mathematics
1 answer:
natulia [17]3 years ago
4 0

Given:

The longer sides of a rectangular garden = 15 feet

It were 3 times longer than the shorter sides.

To find:

The total distance covered by Zack if he walked all the way around the garden.

Solution:

Let the shorter side be x.

Longer side = 15 feet

According to given equation, longer side is 3 times longer than the shorter sides.

15=3x

Divide both sides by 3.

5=x

So, the measure of shorter side is 5 feet.

The total distance covered by Zack if he walked all the way around the garden is the perimeter of the garden.

Perimeter of rectangular garden is

Perimeter=2(length +width)

Perimeter=2(15 +5)

Perimeter=2(20)

Perimeter=40

Therefore, the total distance covered by Zack is 40 feet.

You might be interested in
From each of two normal populations with identical means and with standard deviations of 6.40 and 7.20, independent random sampl
LiRa [457]

Answer: 0.31207

Step-by-step explanation: from the question, the distribution follows a normal distribution and population mean of both data set are equal.

I will also assume a 5% level of significance since any level of significance was not given in the question.

Population standard deviation of the first population (σ1) = 6.40

Population variance of the first population (σ1)² = 40.96

Population standard deviation of the second population (σ2) = 7.20

Population variance of the second population (σ2)² = 51.84

Sample size of first population (n1) = 64

Sample size of second population (n2) = 64

Difference between sample mean (x1 - x2) = 0.6.

Since population standard deviation is known, z test is used in getting the z score and a normal distribution table is used in getting the probability attached to the z score.

Z = (x1 - x2) /√{(σ1)²/n1 + (σ2)²/n2}

By substituting parameters, we have

Z = 0.6/√(40.96/64) + (51.84/64)

Z = 0.6/ √0.64 + 0.81

Z = 0.6/√1.45

Z = 0.6/1.2041

Z = 0.49

Since our difference in sample mean is greater than zero, it means that the probability of the z score (z=0.49) must be that of the one greater than 0.49 which is area towards the right of the distribution.

Do note that the probability value under z score to the left + probability value under z score to the right = 1

The table I'm using here is only giving probability of z scores toward the left (z<0.49)

Hence z>0.49 = 1 - z<0.49

From the table, z<0.49 = 0.68793

z>0.49 = 1 - 0.68793

z>0.49 = 0.31207

6 0
3 years ago
Square root 2 is between 1.4 and 1.5
Gala2k [10]
1.4 < \sqrt2 < 1.5-TRUE,\ because\\\\1.4=\sqrt{1.4^2}=\sqrt{1.96} < \sqrt2\\\\1.5=\sqrt{1.5^2}=\sqrt{2.25} > \sqrt2
3 0
3 years ago
Help taking test plz
Archy [21]
The answer is b because is is the only one that matches
3 0
3 years ago
Read 2 more answers
In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
Burka [1]

Answer:

30.4

Step-by-step explanation:

8 0
3 years ago
Solve the inequality<br> -2≥4p+6+4
Alchen [17]

Hi there


-2 ≥ 4p + 6 + 4

-2 ≥ 4p + 10

4p +10 ≤ -2

Now subtract 10 form both sides

4p + 10 - 10 ≤ -2 - 10

4p ≤ -12

Divide by 4

4p/4 ≤ -12/4

p ≤ -3


I hope that's help:)

3 0
4 years ago
Other questions:
  • Blueberries cost $4.00 per pound. how many blueberries can you buy for $1.00
    8·1 answer
  • There are 9 balls in a hat. The balls are numbered 1-9. You need to choose 3 of the balls. How many possible combinations are th
    12·1 answer
  • S is in between T and U. ST = x + 4 and SU = 2x. TU = 16. Find the value of x.
    7·1 answer
  • What is the vertex of r(x) ? Use r(x)=1/2(x+9)(x-5)
    12·1 answer
  • The quadratic $10x^2+100x+1000$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?
    5·1 answer
  • Violet bought 7 air filters at the store. Each filter cost $18.85. Violet used a coupon for $5.50 off her total cost of the air
    15·2 answers
  • Write the number positioned at point B
    14·1 answer
  • If the ratio of the length of a rectangle to its width is
    9·2 answers
  • 7. The planet Abydos experiences drastic changes in temperature over the course of the day. On one day it reached a minimum temp
    7·1 answer
  • Use the function y = 50 tan x on the interval 0 &lt; x &lt; 150 Complete the ordered pair (x, 125). Round your answer to the nea
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!