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2 years ago

A cyclist travels 7.7 km in 30 minutes. What is his average speed in km/h?

Mathematics

1 answer:

NARA [144]2 years ago

4 0

60 min = 1 hr
30 times 2 = 60 minutes
7.7 times 2 = 15.4 km
15.4 km per hr is the answer

PLEASE MARK BRAINLIEST

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A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and

goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

$F=-kx$

where;

F= force applied on the spring

x = the extension on the spring

k= the spring constant which varies in spring.

The question will need you to calculate the extension on the springs A and B then compare the values obtained.

<u>In spring A</u>

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

$F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x$

Here the spring extension is 15 m

<u>In spring B</u>

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

$F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x$

Here the extension on the spring is 12 m

<u>Compare</u>

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

$=15m-12m=3m$

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3 years ago

Which shows rotational symmetry?

s344n2d4d5 [400]

It is actually the top one on the second picture because if you were to rotate it 180 degrees, it would end up on the same points

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3 years ago

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Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."

BaLLatris [955]

When the dilation is about the origin, the scale factor multiplies every coordinate. That is (considering the x-coordinate) ...
6·k = 3
k = 3/6 = 1/2

The appropriate choice is
1. 1/2

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3 years ago

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6x + 4<br> What tipe of polynomial is this one?

Mkey [24]

Answer:

This is a binomial.

Step-by-step explanation:

Bi means two. Therefore, since this polynomial only has two integers it is a binomial.

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3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Tasya [4]

The coordinates of point F are (15/4 , -5/2)

The coordinates of point G = (-3/4 , -3)

<h3>What is the coordinates about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

E is the mid-point of AB
D is the mid-point of AE
F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1) and B (x2 , y2), Then x = (x1 + x2)/2 and that of y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then E =[(-3 + 6)/2, (-1 + -3)/2]

= (3/2 , -2)

Since F is the mid-point of EB,

E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

= (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then D = [(-3 + 3/2)/2 , (-1 + -2)/2]

= (-3/4 , -3/2)

Note also that:

BC is said to be an horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then y-coordinate of G is = -3

Since DG ⊥ BC

Then DG = vertical segment

So G has similar x-coordinate of D

Then The x-coordinate of G = -3/4

The G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

#SPJ1

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1 year ago