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4 years ago

What is the smallest angle of rotational symmetry that maps a regular octagon onto itself?

Mathematics

1 answer:

Snezhnost [94]4 years ago

6 0

The smallest angle of rotational symmetry that maps a regular octagon onto itself would be 45°.

360/8 = 45

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A random sample of the amounts for 22 purchases was taken. The mean was $42.97, the standard deviation was $22.82, and the m

Illusion [34]

Answer: a) 84 and b ) 2084

Step-by-step explanation:

Given : Sample standard deviation : s= $22.82

(Population standard deviation is unknown ) , so we use t-test.

Critical value or the 95% confidence intervals : $t_{n-1}*=2.0$

Formula to find the sample size :

$n=(\dfrac{t^*\cdot s}{E})^2$

a) E = 5

$n=(\dfrac{(2)\cdot 22.82}{5})^2$

$n=(9.128)^2=83.320384\approx84$

i.e. Required sample size : n= 84

b) E = 1

$n=(\dfrac{(2)\cdot 22.82}{1})^2$

$n=(45.64)^2=2083.0096\approx2084$

i.e. Required sample size : n= 2084

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3 years ago

Which expression shows the area of the base of each pyramid? (One-fourth x) squared in.2 (One-third x) squared in.2 (One-half x)

777dan777 [17]

Answer:

(a) $Area = (\frac{x}{4})^2$

Step-by-step explanation:

The question is incomplete. (See comment for complete question).

From the completed question, we have:

$Total\ base\ length = x$

$n = 8$ --- number of pyramids

Required

An expression for the area of the base

The total base length of the pyramid represents the perimeter of the base.

And since the base is a square, then the following relationship exist.

$Total\ base\ length = 4L$

Where L represents the length of each side.

This gives

$4L = x$

Make L the subject

$L = \frac{x}{4}$

The area of the base is then calculated as:

$Area = L^2$

$Area = (\frac{x}{4})^2$

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3 years ago

Read 2 more answers

Will give brainliest please show your work

Oksanka [162]

Answer:

Step-by-step explanation:

For surface area you wanna find the area of all the sides and then add them up to get surface area

5 0

3 years ago

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Calculate the area of area of a rectangular with a base of 10cm and a height of 6cm

nadya68 [22]

Answer:

<em>60cm²</em>

Step-by-step explanation:

Length = 6cm

Breadth = 10cm

Area of rectangle = l×b

=( 10 ×6)cm

= <u>60cm²</u>

Hope it helps.

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3 years ago

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*will give brainliest*

emmasim [6.3K]

Answer:

Y = 6 and x=6 are perpendicular because they both measure at a 90 degree angle

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3 years ago