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
Zigmanuir [339]
3 years ago
9

Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only ne

ed to fence three sides. There is one long side parallel to the house, and two shorter sides. He needs 130 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.
Mathematics
2 answers:
irina [24]3 years ago
6 0

Answer:

35ft, 35ft, and 60ft

Step-by-step explanation:

Marat540 [252]3 years ago
6 0

Answer:

The length and width of the pool area is:

  • Length = 60 feet.
  • Width = 35 feet.

Step-by-step explanation:

Since the 130-foot fence should enclose only three parts of the pool (two wide and one long), equations are performed to express the information provided.

First an equation that says the total feet in the fence:

  1. X + 2Y = 130 (where X is the length and Y is the width)
  2. X = 2Y-10 (since the length is 10 feet less than twice the width)

With these equations, we proceed to replace the second equation in the first one and solve for Y:

  • X + 2Y = 130
  • 2Y -10 + 2Y = 130
  • 4Y - 10 = 130
  • 4Y = 130 + 10
  • Y = 140/4
  • <u>Y = 35 feet</u>

Since we already know that the width corresponds to 35 feet, we use the second equation to find the value of X:

  • X = 2Y-10
  • X = 2 (35) -10
  • X = 70 - 10
  • <u>X = 60 </u>

With which it is identified that the length is 60 feet.

You might be interested in
Please help me I need to turn in tomorrow please!!!!
mr Goodwill [35]
A -8 hope this helps good luck !
4 0
2 years ago
Read 2 more answers
If x divided 9=9 how do u know what x is
Volgvan
X is 1 because if you times it by x it equals it number
7 0
3 years ago
Read 2 more answers
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=78°, and KL = 35 feet. Find the length of MK to the nearest tenth of a foot.
Margaret [11]

Answer:

7.3 feet

Step-by-step explanation:

osK=

hypotenuse

adjacent

​

=

35

x

​

\cos 78=\frac{x}{35}

cos78=

35

x

​

35\cos 78=x

35cos78=x

Cross multiply.

x=7.2769\approx \mathbf{7.3}\text{ feet}

x=7.2769≈7.3 feet

Type into calculator and round to the nearest tenth of a foot.

4 0
3 years ago
Read 2 more answers
Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish i
natita [175]

<em>Answer:</em>

<em>There would be 173,535 lionfish after 6 years.</em>

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

<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>

<em></em>

<em>A)</em>

<em>8000 x 1.67 ^ n = f  </em>

<em>B)</em>

<em>8000 x 1.67 ^ 6 = X</em>

<em>8000 x 21.691961596369 = X</em>

<em>173,535.692770952 = X  </em>

<em>C)</em>

<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>

<em>Therefore, there would be 173,535 lionfish after 6 years.</em>

5 0
2 years ago
In parallelogram ABCD, the measure of angle ABC is 130, find the measure, in degrees of angle DAB
77julia77 [94]
Angle ABC = 130
Angle ABC = Angle ADC = 130 (Opposite angles are equal)
Angle DAB = 180 - 130 = 50 (consecutive interior angles)

I HOPE IT IS HELPFUL:D
6 0
3 years ago
Read 2 more answers
Other questions:
  • An executive committee consists of 1313 ​members: 55 men and 88 women. 44 members are selected at random to attend a meeting in
    15·1 answer
  • When the digit at the rounding place is 9 round the following number as indicated 13,912;to the nearest hundred
    5·1 answer
  • The Natchez Trace Bridge in Franklin, Tennessee, is 1,500 feet long. Suppose you build a model of the bridge using a scale of 1
    15·2 answers
  • −\frac{7}{10} ÷\frac{2}{5}
    12·1 answer
  • Eight times the result of subtracting 3 from a number is equal to the number increased by 25. What is the number?
    15·2 answers
  • To solve an equation, use the properties of equality. What is the first step to solving 3.7x - 15.9 = 2.97?​
    8·1 answer
  • Slice for the missing sides 45-45-90 triangle. show work thank you
    12·1 answer
  • Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Ang
    14·2 answers
  • Katie dropped 5 nickels on the floor. What is the probability that all the nickels will land with heads facing up?
    14·1 answer
  • L = √36cm, A=
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!