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3 years ago

How many inches are represented by 5 degrees on the rim of a 16-inch diameter flywheel

Mathematics

1 answer:

solniwko [45]3 years ago

5 0

2 to the average 5 and times the inequality of 16-inch

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GEOMETRY: PLEASE HELP!!

Aloiza [94]

Answer:

$GF=72$

Step-by-step explanation:

All triangles in the given figure are similar, from SAS. Notice that marked in the diagram, $CD=DE=EF=FA$ .

For triangle $\triangle CGF$ was base $GF$ , leg $CF$ contains three of these marked segments. In triangle $\triangle CHE$ with base $HE$ , leg $CE$ has two of these marked segments. By definition, similar polygons have corresponding sides in a constant proportion. Therefore, the length of GF must be $3/2$ the length of EH. Since the length of EH is given as 48, we have:

$GF=\frac{3}{2}EH, \\\\GF=\frac{3}{2}\cdot 48,\\\\GF=\boxed{72}$

7 0

2 years ago

Solve for x:<br><br> 11x = 6x + 20

notka56 [123]

Answer:

x = 4

Step-by-step explanation:

11x= 6x +20

-6x -6x

(subtract 6x from both sides)

5x = 20

/5x /5x

divide 5x from both sides

x=4

3 0

2 years ago

Read 2 more answers

5. Which of the following statements are always true? (2 points)

gayaneshka [121]

Answer: A & C

Step-by-step explanation: A. Two parallel lines are coplanar.

C. Two planes that do not intersect are parallel.

8 0

3 years ago

Read 2 more answers

What are the x and y-intercepts of the line described by the equation?

tatuchka [14]

Answer: x=4.41 y= -7.35

Step-by-step explanation:

Pretty basic just graph them using Desmos...

Showing your work you would need to get x on one side then y on the other.

Because 3y is positive I personally like to use that one first. The inverse operation of 3y is divide so you divide 3y by 3 and the 3s cancel out. Divide -22.05 by 3 and you get -7.35. Which is your y value.

Finding X is a bit more difficult, you need to divide by -5 which is the obvious inverse operation. So, -22.05/-5 and you get 4.41. Which is your X value.

Any further questions feel free to contact me.

-Vy

5 0

2 years ago

The curved part of this figure is a semicircle.

Nitella [24]

Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

$d = \sqrt{3^2 + 8^2}$

$d \approx 8.544$

The radius is half the diameter.

$r = \dfrac{d}{2} = \dfrac{8.544}{2} = 4.272$

The total area is the area of the triangle plus the area of the semicircle.

$A = \dfrac{bh}{2} + \dfrac{\pi r^2}{2}$

$A = \dfrac{3 \times 8}{2} + \dfrac{\pi \times 4.272^2}{2}$

$A = 12 + 9.125 \pi$ $units^2$

3 0

3 years ago