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2 years ago

Item 1 Find the dimensions of the square. Area = 441 cm²

Mathematics

1 answer:

mafiozo [28]2 years ago

3 0

Answer:

21 cm by 21 cm

Step-by-step explanation:

The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,

441 cm² = x²

This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.

The dimensions of the square are 21 cm by 21 cm.

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Solve :<br><br> y=3.58•x+ 202.6<br> &<br> y=2.3•x+160.7

Ierofanga [76]

Answer:

$x=-32.73\,,\,y=85.43$

Step-by-step explanation:

Given: $y=3.58x+202.6\,,\,y=2.3x+160.7$

To find: value of x and y

Solution:

$y=3.58x+202.6\,\,(i)\\y=2.3x+160.7\,\,(ii)$

From equation (i) and (ii),

$3.58x+202.6=2.3x+160.7\\3.58x-2.3x=160.7-202.6\\1.28x=-41.9\\x=\frac{-41.9}{1.28}=-32.73$

Put $x=-32.73$ in (i)

$y=3.58(-32.73)+202.6\\=-117.17+202.6\\=85.43$

8 0

3 years ago

Can someone help me on this one??

avanturin [10]

A triangle is always 180 degrees. We know that one side is 50 degrees and two of our sides are equal so we can be sure that the other side is 50 degrees this gets us to 100 degrees leaving 80 degrees this means x= 80 degrees

4 0

3 years ago

Select all irrational numbers.

Maurinko [17]

Answer:

OPTION A

OPTION B

OPTION C

Step-by-step explanation:

Irrational numbers are the subset of real numbers. Their decimal representation neither form a pattern nor terminate.

OPTION A: $\sqrt{\frac{1}{2}}$

This is equal to $\frac{1}{\sqrt{2}}$ .

$\sqrt{2} = 1.414...$ is non-terminating. So, it is an irrational number. Hence, the reciprocal of an irrational number would also be irrational. So, OPTION A is irrational.

OPTION B: $\sqrt{\frac{1}{8}}$

This is equal to $\frac{1}{2\sqrt{2}}$ . Using the same logic as Option A, we regard OPTION B to be irrational as well.

OPTION C: $\sqrt{\frac{1}{10}}$

This is equal to $\frac{1}{\sqrt{5}\sqrt{2}}$ .

Both $\sqrt{5}$ and $\sqrt{2}$ are irrational. So, the product and the reciprocal of the product is irrational as well. So, OPTION C is an irrational number.

OPTION D: $\sqrt{\frac{1}{16}}$

16 is a perfect square and is a rational number. $\frac{1}{\sqrt{16}}$ = $\frac{1}{4}$ . This is equal to 0.25, a terminating decimal. So, OPTION D is a rational number.

OPTION E: $\sqrt{\frac{1}{4}}$

4 is a perfect square as well. $\frac{1}{\sqrt{4}} = \frac{1}{2} = 0.5$ , a terminating decimal. So, OPTION E is a rational number.

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3 years ago

Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3

Gwar [14]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

y = 2(x^2 -4x) +3

y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

8 0

2 years ago

you have 5 red crayons, 3 yellow crayons, 4 blue crayons and purple crayons. what multiplication would you do to find the probab

almond37 [142]

Answer:

3/46

Step-by-step explanation:

7 0

3 years ago