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Reil [10]
3 years ago
14

If a number a is always less than another number b, which of the following expressions expresses their relationship?

Mathematics
2 answers:
QveST [7]3 years ago
8 0

Answer: a<b

Step-by-step explanation:

Given statement: "a number <em>a</em> is always less than another number <em>b."</em>

<em />

We use "<" or ">" sign to show less than or more than comparison in a mathematical statement.

If <em>a</em> is less than <em>b </em>then it can represented as

<em>a < b</em>

The expressions expresses the relationship between <em>a</em> and <em>b</em> would be:

<em>a < b</em>

Anna007 [38]3 years ago
8 0

Answer:

a<b

Step-by-step explanation:

alagatter

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
KatRina [158]
<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
15% of the students in school eat hot lunch. If 60
morpeh [17]

Answer:

400 students

Step-by-step explanation:

So 15 percent is 60 students

make an equation

0.15x=60

X stands for the total amount fo students and multiply that 0.15 becuase we know ti equals 60 and finding X will solve both problems

that’ll give you 400 students

if you check

400*0.15=60

So its correct

7 0
2 years ago
Help me pls I don’t know how to do this
rusak2 [61]

Answer:

radius=6.68cm

Step-by-step explanation:

Formula to find radius:

r=\frac{C}{2\pi }

r=42/2\pi

r=42/2(3.14)

r=6.68cm

<em>hope this helps......</em>

6 0
3 years ago
357,335 rounded to the nearest ten357,335 rounded to the nearest ten
Advocard [28]

Answer:

357,340

Step-by-step explanation:

Locate the tens place:

357,3<u>3</u>5

Check the number to the right:

357,33<u>5 </u>

<u></u>

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

The number next to the tens place is a '5'. We round up.

357,335 ≈ 357,340

Hope this helps.

5 0
3 years ago
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Ulleksa [173]
Following transformations on Triangle ABC will result in the Triangle A'B'C'

a) Reflection the triangle across x-axis
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c) Shift upwards by 6 units

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B (3, 12)
C (4, 4)

In Triangle A'B'C, the coordinates of the vertices are:
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B' (5, -6)
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First consider point A of Triangle ABC.
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Coordinates of B are (3,12). Reflecting it across x-axis, we get the new point (3, -12). Moving 2 units towards right, the point is translated to (5, -12). Moving 6 units up we get the point (5, -6), which are the coordinate of B'. 

The same way C is translated to C'.

Thus the set of transformations applied on ABC to get A'B'C' are:
a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units
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