Mathematics, 20.01.2021 08:10 brillamontijo

Joe and Jane are at a carnival. Joe gets on the large Ferris wheel at the same time Jane gets on the small Ferris wheel. The rides begin at the same time. The large Ferris wheel takes 25 seconds to make one revolution and the small Ferris wheel takes 10 seconds to make one revolution. Part A How many seconds will pass before Joe and Jane are both at the bottom again?Part B How many revolutions will the large ferris wheel take before Joe is at the bottom again? Part C How many revolutions will the small ferris wheel take before Jane is at the bottom again?

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Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Answer from: Quest

Hello!

the answer is:

the correct option is the option b.

$surfacearea=126\pi units^{2}$

why?

to calculate the surface area of the right cylinder, we need to use the following formula:

$surfacearea=2\pi rh+\pi r^{2}$

from the picture we know that:

$h=2units\\r=7units$

so, substituting and calculting we have:

$surfacearea=2\pi rh+\pi r^{2}surfacearea=2*\pi *7*2+2*\pi *7^{2}=28\pi + 98\pi =126\pi units^{2}$

hence, we have that the correct option is the option b.

$surfacearea=126\pi units^{2}$

have a nice day!

Answer from: Quest

Hello!

the answer is:

the lateral area is equal to $352m^{2}$

$lateralsidearea=352m^{2}$

why?

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

$baseperimeter=4s$

$lateralsidearea=\frac{1}{2}baseperimeter*slantheight$

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

$s=8m\\slantheight=22m$

now, calculating the perimeter of the base, we have:

$baseperimeter=4s=4*8m=32m$

then, calculating the lateral area:

$lateralsidearea=\frac{1}{2}baseperimeter*slantheight$

$lateralsidearea=\frac{1}{2}32*22m=352m^{2}$

hence, we have that the lateral area is equal to $352m^{2}$

have a nice day!

Answer from: Quest

8(1/6)

step-by-step explain:

49/6= 48

8 (1/6)

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