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Mumz [18]
3 years ago
15

Three questions! Need help.

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
Answers:
1. Choice A) Reflection symmetry only
2. Choice B) Rotation symmetry only
3. Choice D) Both types of symmetry

-----------------------------------------------------------------------

Explanations:

The letter K can be reflected over a horizontal line through its center. The upper half will fold over to line up with the lower half. So this shows we have reflection symmetry. We cannot rotate K some angle less than 360 degrees to have the letter line up with itself. So it doesn't have rotation symmetry.

The letter S can be rotated 180 degrees to have it line up with itself. Though it can't be reflected over any line to have it line up one half with the other. So that's why we have rotational symmetry only.

The letter H has both reflection and rotation symmetry. We can reflect H two ways. One line is vertical through the center. The other line is horizontal through the center. We can also rotate H 180 degrees to have it line up with its original image.
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zalisa [80]

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

m=\frac{y_2-y_1}{x_2-x_1}

(3, 1) and (6,2)

m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}

y=mx+b

y=\frac{1}{3}x+b

Find b using (6,2):

y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b

y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x

y=\frac{1}{3}x

What will be the value of Y when X = 120?

Substitute 120 for x into y=\frac{1}{3}x

y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

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2 years ago
O GEOMETRY Volume of a sphere The radius, R, of a sphere is 8.3 mm. Calculate the sphere's volume, V. Use the value 3.14 for , a
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EXPLANATION

The volume of a sphere of radius R is,

V=\frac{4}{3}\pi R^3

In this case, the radius of the sphere is 8.3 mm. Using π = 3.14, the volume is,

V=\frac{4}{3}\cdot3.14\cdot8.3^3mm^3=2393.881573\text{ }mm^3\approx2393.9\text{ }mm^3

Hence, the volume of the sphere is 2393.9 cubic millimeters, rounded to the nearest tenth.

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