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Blizzard [7]
3 years ago
11

A cyclist travels 5.8 km in 30 minutes. What is his average speed in km/h?

Mathematics
1 answer:
Mila [183]3 years ago
6 0

Answer:

11.6km/hr

Step-by-step explanation:

You need to double 30 minutes to get an hour, so do the same with the distance.

5.8*2=11.6 km

11.6km/hr

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Sheng owns the company Sandy Shores, which packages bottles of sand in two
LenKa [72]

Answer:

The maximum amount of sand in ounces that the company allows for each bottle is 25.5 ounces.

Step-by-step explanation:

The amount of sand that the company Sandy stores allows in each small bottle is determined by the amount of sand required for the bottle size plus the error in the amount of sand for the bottle size.

Now since each small bottle contains 25 ounces of sand and the error in the amount of sand contained in the bottle is 0.5 ounces, the amount of sand contained in the bottle = required amount ± error.

For the minimum amount, we subtract the error and for the maximum amount, we add the error.

Since the maximum amount is required, we have,

Maximum amount = required amount + error

required amount = 25 ounces and error = 0.5 ounces. So,  Maximum amount = 25 ounces + 0.5 ounces = 25.5 ounces.

So, the maximum amount of sand in ounces that the company allows for each bottle is 25.5 ounces.

6 0
3 years ago
What is the y-intercept of the function /(x) = -2/9x + 1/3
IgorC [24]

Answer:

Step-by-step explanation:

f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3

8 0
3 years ago
The base of an isosceles triangle is 5 and it's perimeter is 11. The base of a similar isosceles triangle is 10.What is the peri
Andreas93 [3]

Answer: the perimeter of the larger triangle is 22 units

Step-by-step explanation:

The diagram of both triangles is shown in the attached photo. The isosceles triangles are triangle ABC and triangle DEF

Perimeter of triangle ABC = 11

For an isosceles triangle, the other two sides are equal. If one equal side is x, then the sum of the two equal sides is x+x = 2x

Perimeter of triangle = sum of the lengths of the 3 sides. Therefore,

11 = 5 + 2x

2x = 11-5 = 6

x = 6/2 = 3

The base of the similar triangle is 10. It means that it is 2 times the base of the smaller triangle. That means the scale factor is 2. Therefore,

If the perimeter of the small triangle is 11, the Perimeter of the larger triangle will be 2 × perimeter of the smaller triangle. This becomes

2 × 11 = 22 units.

It can also be determined by adding the length of each side

3×2 + 3×2 + 5×2 = 6+6+10 = 22 units

5 0
3 years ago
Read 2 more answers
Writing a geometry proof seems to take a very specific kind of skill along with a specialized vocabulary. Yet you have also seen
ANTONII [103]

In geometry proofs, we commonly use step-by-step logic to figure out the proof. This is commonly used in Computer Science for understanding how computers work, process, and store information(I speak from personal experience). This is also commonly used in Law. You use this in Law as a lawyer to deduce information using step-by-step logical processes and logic, otherwise it's just wishful thinking. So, Law also uses the same reasoning skills used in Geometry proofs.

3 0
3 years ago
What is the GCF of (8x-6) <br><br>sos T-T
makvit [3.9K]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the G.C.F. of 8x-6.

\triangle~\fbox{\bf{KEY:}}

  • G.C.F. stands for Greatest Common Factor.

So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:

\longmapsto\bf{Factors\;of\;8x:} 1, 2, 4, 8, x

\longmapsto\bf{Factors\;of\;-6:} -1, 1, 2, -3, 3, -6, 6

So the GCF is:

2

Now, we can also factor it out by placing it outside the parentheses ():

2(4x-3)

See, we factored it out by dividing both terms of the expression by the G.C.F.

\ddot\bigstar Remember this...

\fbox{\bf{We\;factor\;out\;the\;G.C.F.\;by\;dividing\;all\;the\;terms\;of\;the\;expression\;by\;it}}

Hope this helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students :)

6 0
2 years ago
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