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aliina [53]
4 years ago
13

Give the convex pentagon, what are the values for x and y?

Mathematics
1 answer:
Dima020 [189]4 years ago
4 0
Now.. if you check the picture below

notice that, "x" and "y" are just "supplementary" angles

so.. what the dickens is "x" anyway?

well, "x" is an internal angle to the pentagon

and \bf \textit{sum of all interior angles in a polygon}\\\\
180(n-2)\qquad 
n=\textit{number of sides}

so.. this polygon is a pentagon, or PENTA=5, 5 sides
so all internal angles add up to 180(5-2) or 180*3 = 540

now, check the angle on the bottom-left-corner, is a right-angle

so... you already have 4 angles given inside

so   x + 80 + 160 + 100 + 90 = 540

solve for "x"

what about "y"?   well, y = 180 - x

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B= the base of the object
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3 years ago
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Convert 150 base 10 to a binary <br>number.
STALIN [3.7K]

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

8 0
3 years ago
Is this a parallelogram
vekshin1

Answer:

Yes because the first pare, the one line's are equal to eachother and the second pare, the two lines are equal to eachother

Step-by-step explanation:

4 0
3 years ago
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Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round
Butoxors [25]
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\bf 90000=65452e^{0.091t}\implies \cfrac{90000}{65452}=e^{0.091t}\implies \cfrac{22500}{16363}=e^{0.091t}&#10;\\\\\\&#10;\textit{taking \underline{ln} to both sides}\qquad ln\left( \cfrac{22500}{16363} \right)=ln\left( e^{0.091t} \right)&#10;\\\\\\&#10;ln\left( \cfrac{22500}{16363} \right)=0.091t\implies &#10;\cfrac{ln\left( \frac{22500}{16363} \right)}{0.091}=t
7 0
3 years ago
Suppose that 24% of the students in the first group answered yes and that 73% of the students in the second group answered yes.
Lera25 [3.4K]

Answer:

Price Discrimination OR Law of Demand; according to the complete question.

Step-by-step explanation:

24% of the students in the first group answered yes.

73% of the students in the second group answered yes.

More students in the second group were willing to pay $75 for the pair of jeans BECAUSE they were told that the normal price was much higher.

From this information, I guess that the first group was told (by the jeans vendor probably) that the $75 was higher than the normal price of the jeans. This will be the reason why a lesser percentage of students in Group A are willing to purchase the pair of jeans.

This is an example of PRICE DISCRIMINATION effect on decision making. Price discrimination is used in product marketing.

The same pair of jeans in Situation A cost higher than the normal price while in Situation B it cost lower than the normal price. Even though the figure given is static at $75 in both cases, the data that follows in the question tells it as 2 different prices; one favourable to the buyers and another not so favourable to the buyers.

The LAW OF DEMAND also applies here. The higher the price, the lesser the quantity demanded (by a group of students) and the lower the price, the higher the quantity demanded.

5 0
3 years ago
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