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Nuetrik [128]
3 years ago
11

Light travels about 180 million kilometers in 10 minutes. How far does it travel in 1 minute ? How far does it travel in 1 secon

d ?
Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

Step-by-step explanation:

In minute 20 million kilometers

daser333 [38]3 years ago
7 0

Answer:18 million and 300000

Step-by-step explanation:

Since light travels 180 million KM in 10 min, it would travel 180 million/10 in one minute. Thus, we get 18 million. As we know, there are 60 seconds in a min. Thus, there are 60*10=600 seconds in 10 minutes. Thus, 180 million/600 gives 300000

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An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

y=a(x+1)(x-5)=0

This gives

x=-1

y=5

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}

Thus the coordinates of B are:

B=(-1+\frac{2\sqrt{3} }{3},2)

Now this point B lies on the parabola, and therefore it must satisfy the equation  y=a(x+1)(x-5).

Thus

2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)

Therefore

a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}

\boxed{a=-0.3575}

8 0
3 years ago
The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 35. How many feet long is the seg
Ket [755]
Diagram missing.

Question interpreted as:
ABC is a right triangle right angled at A.
BC=17 feet
angle C = 35 degrees.

AC=BCcos(35)=17*0.8192=13.93 feet to the nearest 1/100th of a foot.
7 0
3 years ago
State which theorem you can use to show that the quadrilateral is a parallelogram.​
leva [86]

Answer:

Actually, there are two. They are the Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Angles Theorem.

Step-by-step explanation:

POST means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

POAT means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

A quadrilateral has to meet both of these theorems to be a parallelogram.

6 0
3 years ago
Prove algebraically that the recurring decimal 0.72 =8/11
miskamm [114]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring decimal placed after the decimal point.

let x = 0.7272.... (1) ← multiply both sides by 100

100x = 72.7272... (2)

Subtract (1) from (2) thus eliminating the recurring decimal

99x = 72 ( divide both sides by 99 )

x = \frac{72}{99} = \frac{8}{11}

7 0
3 years ago
Read 2 more answers
Find the volume of the figure. Round to 3 decimal places.
Digiron [165]

Answer:

v= 360

Step-by-step explanation:

v= ( l w h) / 3

v= ( 12 * 6  * 15 ) / 3

v = 1080/ 3

v=360

( happy to help) :)

can i get brainliest.  

5 0
3 years ago
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