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Stella [2.4K]
3 years ago
13

62 and a half divided by 150

Mathematics
1 answer:
alex41 [277]3 years ago
3 0
It is 0.4166 (The 6 is repeating)
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Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.
sesenic [268]

Answer:

Step-by-step explanation:

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram  we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

= 3/2.

In the same way

slope of CD = (2 - -4) / (1 - -3)

= 3/2.

So AB and  CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

So the figure is a parallelogram

Finding the perimeter (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB =   sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

= 6sqrt13

or 21.63 unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

8 0
3 years ago
Find the vertices of the hyperbola. Enter the smallest coordinate first.
melisa1 [442]

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1

The vertices of an hyperbola (of the form)  \dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1 are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

4 0
3 years ago
I need help ASAP<br><br>The gray at the bottom are the answers to pick from for question 1
BARSIC [14]
The answer is Expression I just took that . Hopeful that help :)
6 0
3 years ago
Someone help please this is for trigonometry
Softa [21]
Hi there!

Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.

Anyways,

tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75

cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78

For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...

angleC=180-(90+50)
angleC=180-140
angleC=40°
4 0
3 years ago
A proofreader reads 200 pages in 8 hours. How many pages does the proofreader read in 30 minuets
umka21 [38]
If 200/8=25 per hour, then i divided that by 2 to get 12.5 for 30 minutes.
6 0
3 years ago
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