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alex41 [277]
3 years ago
15

76km/hr=_______________________________m/s

Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0

Answer:

21.1111 m/s

Step-by-step explanation:

____ [38]3 years ago
6 0
The answer is 21.1111 m/s
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Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

============================================================

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

4 0
2 years ago
Latoya had a large collection of basketball cards. she gave half to her friend,Erin. And 1/4 to her brother. She now has 75 card
Kipish [7]

For this case, the first thing we must do is define variables.

We have then:

x: initial amount of cards

We now write the equation that models the problem:

x - (\frac{1}{2}) x - (\frac{1}{4}) x = 75

(\frac{1}{4}) x = 75\\x = 75 * 4\\x = 300

Therefore, the initial amount of cards is 300

Answer:

Latoya had 300 cards at the beginning

5 0
3 years ago
Read 2 more answers
need some help with geo, could you explain how to do it as well so i know next time not needed but helpful
Setler [38]
You can do this by finding the lengths of RT , RS and ST using the distance formula

RT = sqrt ((0- -5)^2  + (4 - -6)^2)
      = sqrt (5^2 + 10^2)  = sqrt 125

RS =  sqrt ((-3- -5)^2 +  (-2 - -6)^2))
       = sqrt  ( 2^2 + 4^2)  = sqrt 20

ST  = sqrt 125 - sqrt 20

RS / ST  = sqrt 20 / (sqrt 125-sqrt 20)

so the ratio RS:ST = 2:3

Its B
5 0
3 years ago
Consider the reduction of the triangle.
jasenka [17]

Answer:

What is the scale factor? 1/10

What is the length of A? 1

What is the length of B? 8.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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