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3 years ago

Hiiiooo!! I really need help. Can someone please help❤️❤️:D

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

10√2 inches (second option)

Explanation:

visualise a square in your head. then, imagine a diagonal running through it. that diagonal would separate the square into two triangles. so to find the diagonal, we first need to find the length of the square (which would serve as the base and height of the triangle).

we can simply divide the perimeter by 4 to get the length of each side, which would then be 40 ÷ 4 = 10.

next, we can use the formula of the pythagorus theorum! it states that a² + b² = c², where a, b and c are represented by the following image:

for our equation, this would translate to 10² + 10² = c², and c would be the length of the diagonal.

100 + 100 = c²

200 = c²

in radical form, the square root of 200 would be 10√2. therefore, the length of the diagonal is 10√2 inches, which is the second option.

i hope this helps! :D

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Write the product as a mixed number.<br> 5 x 1 1/6

cupoosta [38]

Answer:

9 1/6

Step-by-step explanation:

multiplication of fractions

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2 years ago

PLEASE HELP ASAP!!!!

lina2011 [118]

<h3>Answer:</h3>

System

p + m = 10
0.8m = 0.4·10

Solution

p = m = 5 — 5 lb peanuts and 5 lb mixture

<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

p + m = 10
0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

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