Answer:
No
Step-by-step explanation:
NO...... any two sides added together must be GREATER THAN the third side .... 2 + 8 is NOT greater than 19
Answer:
the answer is x=15 cm
Step-by-step explanation:
here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm
Now,
AC=BD
or, 3x-20 = x+10 [ diagonals of a rectangle are equal]
or, 2x = 30
or, x= 15 cm
I HOPE IT WILL HELP YOU!!!
Let's begin ! ^_^
You have got informations in your problem that you just have to translate in a "mathematic language".
Company A :
"$40 membership fee and $2 per video stream."
Thanks to that, you can guess :
c = 40 + 2s
Now let's do the same thing to the company B.
Company B :
"charges a one-time $20 membership fee and $4 per video stream."
Therefore, c = 20 + 4s.
I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :
{c=40+2s ( Option B)
c=20+4s.
Second step : For how many video streams will the cost be the same for both companies?
We just have to solve the system :) And there is only one variable, the letter "s".
We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :
=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
=> s = 10
Verification :
Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.
Company B :
=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60
As you have seen, the costs are the same for both companies.
We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.
In short, the answer would be : 10.
Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.
Hope this helps !
Photon
Answer:
A. (4.78, 6.90)
Step-by-step explanation:
Using the following formulas the lower and upper limits of the Interval are calculated
Lower limit = mean - (standard deviation /√sample size)* Zr
Upper limit = mean + (standard deviation /√sample size)* Zr
Zr depends on confidence interval and can be found in a z table
Zr for 90% = 1.645
then
Lower limit = 5.84 - (4.98 /√60)* 1.645 = 4.78
Upper limit = 5.84 + (4.98 /√60)* 1.645 = 6.90
ANSWER
We can divide in to two rectangles as in the attachment.
We then find the area of each rectangle and add together.
The area of the bigger rectangle is


The area of the smaller rectangle i


Hence the area of the figure is

