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Maru [420]
3 years ago
10

What is 625/18 as a whole number

Mathematics
2 answers:
Ksivusya [100]3 years ago
6 0

34 with a remainder of 13.

satela [25.4K]3 years ago
5 0

Answer:

35

Step-by-step explanation:

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Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240
Alisiya [41]

Let's call the length of the rectangular fence l and the width of the rectangular fence w.


Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

A = lw

P = 2l + 2w


Now, let's substitute in the values we are given in the problem:

240 = lw

68 = 2l + 2w


Now, let's solve the system using substitution.

240 = lw \Rightarrow \dfrac{240}{w} = l

  • Solve for l from the first equation

68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w

  • Substitute this value into the second equation

68 = \dfrac{480}{w} + 2w

  • Simplify

68w = 480 + 2w^2

  • Multiply both sides of the equation by w

2w^2 - 68w + 480 = 0

  • Subtract 68w from both sides of the equation

(2w - 48)(w - 10) = 0

  • Factor

2w - 48 = 0 and w - 10 = 0

  • Use the Zero Product Property and solve both factors

2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24

w - 10 = 0 \Rightarrow w = 10


We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10

w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24


Thus, our answer is Choice C, or 10 feet by 24 feet.

4 0
3 years ago
Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the s
olga_2 [115]
Please read the attached file

3 0
3 years ago
The area of the base of the cone is 9π^2 in and a height of 6 in. What is the volume of the cone, in terms of π? Need answer ASA
Sidana [21]

Answer: 18pi^2

Step-by-step explanation:

Volume of cone formula = 1/3 x base area x height

so 1/3 x 9pi^2 x 6

= 18pi^2

4 0
3 years ago
In a radioactive substance Half-Life is 40 years about how much of a 30g sample was left after 160 years
alekssr [168]

Answer:

A 1.9

Step-by-step explanation:

Nt = No e^(-kt)

Where Nt is the ending amount

No is the starting amount

k is the decay constant

and t is the time

We need to determine the half life

Nt/No = e ^ -kt

1/2 of the original amount is left  for 1/2 life.  The time is 40 years.  We will calculate k

1/2 = e ^ -k * 40

Take the natural log of each side

ln(1/2) = ln (e ^ -k * 40)

ln (1/2) = -40k

-ln(2) = -40k

ln 2 = 40k

1/40 ln (2) = k

Now we can calculate now much is left after 160 years of a 30 g sample

Nt = 30 e^(- 1/40 ln(2) * 160)

    = 30 e^(-4ln(2))

    = 15/8

       =1.875

4 0
3 years ago
Read 2 more answers
Why do we reverse the direction of the inequality symbol when multiplying or dividing by a negative number?
DiKsa [7]
When you multiplied both sides by a NEGATIVE number, what WAS negative became positive, and what WAS positive became negative! Everything that was larger became small, and what was smaller became large. Everything REVERSED

7 0
3 years ago
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