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almond37 [142]
3 years ago
7

What is the fraction of 44 out of 160?

Mathematics
1 answer:
olga2289 [7]3 years ago
4 0
44/160 simplified to 22/80 simplified again to 11/40 which is simplest form
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The coordinates of quadrilateral ABCD are A(-1,-5), B(8,2), C(11,13), and D(2,6). Using coordinate geometry, prove that quadrila
Sliva [168]

Answer:

The quadrilateral ABCD is a rhombus.

Step-by-step explanation:

A rhombus is a quadrilateral having equal sides.

If ABCD is a rhombus then,

AB = BC = CD =  DA

It is provided that the coordinates of the rhombus ABCD are:

A = (-1, -5)

B = (8, 2)

C = (11, 13)

D = (2, 6)

Use the distance formula to compute the lengths of AB, BC, CD and DA.

The distance formula is:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

Compute the length of AB:

AB=\sqrt{(8-(-1))^{2}+(2-(-5))^{2}}=\sqrt{130}=11.4

Compute the length of BC:

BC=\sqrt{(11-8)^{2}+(13-2)^{2}}=\sqrt{130}=11.4

Compute the length of CD:

CD=\sqrt{(2-11)^{2}+(6-13)^{2}}=\sqrt{130}=11.4

Compute the length of DA:

DA=\sqrt{(2-(-1))^{2}+(6-(-5))^{2}}=\sqrt{130}=11.4

Thus, the lengths AB, BC, CD and DA are equal, i.e. all sides are of length 11.4.

Hence proved that the quadrilateral ABCD is a rhombus.

7 0
3 years ago
Round 9.39 to the nearest whole number.
k0ka [10]

Answer:

9.00

because 9.39 is closer

8 0
3 years ago
Rewrite the expression with a rational exponent as a radical expression.
tatiyna

Answer:

First option is correct.

\sqrt[10]{4}

Step-by-step explanation:

Given:

The given expression is (4^{\frac{2}{5}})^{\frac{1}{4}}

We write the given expression with a rational exponent as a radical expression such as.

=(4^{\frac{2}{5}})^{\frac{1}{4}}

Simplify the above equation by multiplication of powers.

=(4^{\frac{2}{5}\times \frac{1}{4}})

=(4^{\frac{1}{5}\times \frac{1}{2}})

=(4^{\frac{1}{5\times 2}})

=(4^{\frac{1}{10}})

=\sqrt[10]{4}

Therefore, The answer is =\sqrt[10]{4}.

4 0
3 years ago
A triangle has two side lengths of 7 and 12. what value could the length of the third side be?
erik [133]

Answer:

13.9

Step-by-step explanation:

7^2 + 12^2 = c^2

49 + 144 = 193

square root 193

and it’s 13.9

6 0
3 years ago
Read 2 more answers
An unbiased sample is one in which every member of the group has an equal chance of being chosen.
elena-14-01-66 [18.8K]
This is true, because everyone has a fair chance
8 0
3 years ago
Read 2 more answers
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