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3 years ago

What is the area of a rectangle with length √175 in. and width √63 in.?

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

$Area\ of \ rectangle=\ width*length\\\\
Area=\sqrt{175}*\sqrt{63}=\sqrt{11025}=105\\\\
Area\ is\ equal\ to\ 105in^2$

Gwar [14]3 years ago

5 0

I got 105in². When you multiply the two roots, everything goes under one 'roof', and then it's a matter of taking out the perfect squares.
Like: √175 × √63
√(7×5×5) √(3×3×7)
the pairs come out
7×5×3 = 105
Hope that's not toooooo confusing xD

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Is 5.26 a rational or irrational number

kolbaska11 [484]

5.26 is equivalent to 526/1000, which is the ratio of two integers. 526/1000 can, in turn, be reduced to 263/500, which is the same (ratio). Thus, 5.26 is rational.

7 0

4 years ago

The sides of a regular 9-sided polygon have been

Maksim231197 [3]

Answer:

x = 100°

Step-by-step explanation:

As the given shape is a regular polygon, the triangles created by extending the sides are isosceles triangles.

To calculate the base angles of the isosceles triangle, find the interior angle of the regular polygon:

$\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}$

$\textsf{(where }n \textsf{ is the number of sides)}$

Therefore:

$\textsf{Interior angle of a regular nonagon} = \dfrac{180^{\circ}(9-2)}{9}=140^{\circ}$

As angles on a straight line sum to 180°, the base angle of the isosceles triangle is:

= 180° - interior angle

= 180° - 140°

= 40°

Interior angles of a triangle sum to 180°.

⇒ 2 base angles + x = 180°

⇒ 2 × 40° + x = 180°

⇒ 80° + x = 180°

⇒ x = 180° - 80°

⇒ x = 100°

4 0

2 years ago

I need help pleaseeeee

Maksim231197 [3]

Answer:

Step-by-step explanation:

49 degrees + 86 degrees = 135 degrees

line QT=180 degrees

135 degrees + 45 degrees = 180 degrees

8 0

3 years ago

8. The distribution for the time it takes a student to complete the fall class registration has mean of 94 minutes and standard

Alborosie

Answer:

Mean = 94

Standard deviation = 1.12

The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error $s = \frac{\sigma}{\sqrt{n}}$