All categories

4 years ago

Two cyclists, 40 miles apart, start riding toward each other at the same time. One cycles 3 times as fast

Mathematics

1 answer:

Dmitry [639]4 years ago

3 0

Answer:

15 mph

Step-by-step explanation:

The cyclists will cover distance at a rate proportional to their speed. So, the distance ratio is ...

faster cyclist distance : slower cyclist distance = 3 : 1

Then the faster cyclist covers 3 : (3+1) = 3/4 of the total distance, or (3/4)(40 mi) = 30 mi.

That distance took 2 hours for the faster cyclist, so the speed was ...

speed = distance/time = 30 mi/(2 h) = 15 mi/h

You might be interested in

Is the ratio 4 to 7 the same as 7 to 4 ?

Olin [163]

Answer:

uhhhhh Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 7/4. Two other ways of writing the ratio are 7 to 4, and 7:4.

Step-by-step explanation:

just math

5 0

3 years ago

Read 2 more answers

In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in

Agata [3.3K]

$\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$

Considering the diagram. $\angle B$ is shown to be acute, so $\boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$ .

Angles in a triangle add to 180°, so $m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)$ .

Using the law of cosines,

$AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}$

3 0

1 year ago

A new Youth Sports Center is being built in Hadleyville, The perimeter of the rectangular playing field is 430 yards. The length

cricket20 [7]

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

given data

length of the field = 5 yards

Perimeter of the rectangular field = 430 yards.

solution

we consider here length of the field = L

and width of the field = W

as we know length of the field 5yards less than quadruple the width

so here

L = 4W - 5 .....................................1

and

Perimeter (P) will be here

P = 2(L + W) ............................................2

put here equation 1 value

430 = 2(4W - 5 + W)

solve it we get

W = 44

so here put value in eq 1 we het

L = 4W - 5

L = 4(44) - 5

L = 171

so, length of the field is 171 yards

6 0

4 years ago

Determine if the two triangles are congruent.

Ratling [72]

Answer: I think the answer might be HL, I'm not sure though.

4 0

3 years ago

What is the common ratio of the sequence below?

notsponge [240]

The common ratio is (B)1/4

4 0

3 years ago