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2 years ago

The length of a rectangular swimming pool is twice as long as its width. If the perimeter of the pool is

Mathematics

1 answer:

Nitella [24]2 years ago

4 0

The perimeter of a rectangle is the sum of its sides, which are two widths and two lengths:

$p=w+w+l+l$

Since the length is twice the width, we have $l=2w$ , and the formula for the perimeter becomes

$p=w+w+2w+2w=6w$

So, we have

$6w=120 \iff w=\dfrac{120}{6}=20$

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Find the distance between the points (1, 7) and (10, 1) Please help:)

klio [65]

Answer:

The distance between the points (1, 7) and (10, 1) is 10.82 units

Step-by-step explanation:

Distance between two points

The distance between points A(x,y) B(w,z) can be calculated with the formula:

$d=\sqrt{(z-y)^2+(w-x)^2}$

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

$d=\sqrt{(1-7)^2+(10-1)^2}$

$d=\sqrt{(-6)^2+(9)^2}$

$d=\sqrt{36+81}=\sqrt{117}\approx 10.82$

The distance between the points (1, 7) and (10, 1) is 10.82 units

7 0

2 years ago

HELPPPPPP this is due tonight!!!!

laiz [17]

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) $4\cdot x +1 +x + 3 = -11$ GIven

2) $4\cdot x +x +1 + 3 = -11$ Commutative property

3) $(4+1)\cdot x +4 = -11$ Distributive property/Definition of addition

4) $5\cdot x +4 = -11$ Definition of addition

5) $5\cdot x +4 -4 = -11-4$ Compatibility with addition

6) $5\cdot x = -15$ Existence of additive inverse/Modulative property

7) $\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)$ Compatibility with multiplication

8) $x = - 3$ Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

6 0

2 years ago

20n^2t / 5n^t what is the answer? and y?

Anastasy [175]

I hope this helps you

6 0

2 years ago

Can someone pls help me!!!

max2010maxim [7]

Answer:

It will equally 2 because you need to change the 3 into a 9 because you can't add fractions without having the same common demometer

Step-by-step explanation:

4 0

3 years ago

Please help me I have 10 minutes no scams I’m in 7th grade

dangina [55]

Answer:

The answer is 37

Step-by-step explanation:

180- 143= 37

6 0

2 years ago