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Feliz [49]
3 years ago
8

Ordering decimals Order these numbers from least to greatest. 3.724, 1.8, 1.85, 1.8051

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

1.8, 1.8051, 1.85 and 3.724

Step-by-step explanation:

Look at the first and digit and second digit while ordering decimals

and for the decimals that have a lot of numbers like for example: 1.8051 look at the third digit and the 0 should be a 1 because 5 is a larger number.

1-4 you should not add 1

5-9 you should add 1

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The area of a rectangular field is 2275 m2. The field is enclosed by 200 m of fence. What are the dimensions of the field?
AURORKA [14]
So it is enclosed by 200 m of  fence
perimiter=200 m
it is a rectangle to
p=legnth+legnth+width+width or
p=l+l+w+w or
p=2l+2w or
p=2(l+w)
so
p=200
200=2(l+w)
divide both sides by 2
100=l+w
area=l times w
area=2275
lw=2275
l+w=100
combine and solve
l+w=100
subtract w
l=100-w
subisutute 100-w for l in other eqution
(100-w)(w)=2275
distribute
-w^2+100w=2275
add (w^2-100w) to both sides
0=w^2-100w+2275
factor
find what 2 numbers add up to -100 and multiply to get 2275
guess (or factor 2275 and find factors that add up to -100)
figure out that they are -65 and -35
0=(w-65)(w-35)
set each to zero
0=w-65
0=w-35

solve for w
w=65 or 35
65>35 so
65 m=legnth
35 m=width
 
4 0
3 years ago
Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.
adell [148]

For this case we have to represent the following expression algebraically:

"10 less than x is -45"

So:

10 less than x is represented as: x-10

Then, the complete expression is represented as:

x-10 = -45

Adding 10 to both sides of the equation:

x = -45 + 10\\x = -35

Thus, the value of the variable is x = -35

Answer:

x = -35

4 0
3 years ago
Which expression is equivalent to x y Superscript two-ninths?
crimeas [40]

Option D: x\sqrt[9]{y^2} is the expression equivalent to xy^{\frac{2}{9}}

Explanation:

Option A: \sqrt{xy^9}

The expression can be written as ({xy^9})^{\frac{1}{2}

Applying exponent rule, we get,

x^{\frac{1}{2}} y^{\frac{9}{2}}

Thus, the expression \sqrt{xy^9} is not equivalent to the expression xy^{\frac{2}{9}}

Hence, Option A is not the correct answer.

Option B: \sqrt[9]{xy^2}

The expression can be written as ({xy^2})^{\frac{1}{9}

Applying exponent rule, we get,

x^{\frac{1}{9}} y^{\frac{2}{9}}

Thus, the expression \sqrt[9]{xy^2} is not equivalent to the expression xy^{\frac{2}{9}}

Hence, Option B is not the correct answer.

Option C: x\sqrt{y^9}

The expression can be written as x(y^9)^{\frac{1}{2} }

Applying exponent rule, we get,

x y^{\frac{9}{2}}

Thus, the expression x\sqrt{y^9} is not equivalent to the expression xy^{\frac{2}{9}}

Hence, Option C is not the correct answer.

Option D: x\sqrt[9]{y^{2} }

The expression can be written as x(y^2)^{\frac{1}{9} }

Applying exponent rule, we get,

xy^{\frac{2}{9}}

Thus, the expression xy^{\frac{2}{9}} is equivalent to the expression xy^{\frac{2}{9}}

Hence, Option D is the correct answer.

4 0
3 years ago
Read 2 more answers
I have one more question and I am stuck on it.
adelina 88 [10]
Y=2 by the method of substitution (x is 7).
3 0
3 years ago
Read 2 more answers
5. When I sine an angle like 60°, it gives me a value like 0.866025403. What does this number represent?
PolarNik [594]

Answer:

See below

Step-by-step explanation:

The number you described is the same as sin(60^{\circ})=\frac{\sqrt{3}}{2} where the sine of an angle is the ratio between a right triangle's opposite side to the angle and the hypotenuse. So, in this case, if we had a right triangle with a height of \sqrt{3} units and a hypotenuse of 2 units, the ratio between the two sides will result in the value you provided. This right triangle in particular would be a 30-60-90 triangle.

In the case of a unit circle, it’s the y-coordinate of the point where a 60° angle in the standard position intersects a unit circle and a right triangle is created from that.

5 0
3 years ago
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