Complete the following equation using <, >, or =
100% ___ 1
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We suppose that we have a standard equation of the form:
To make a perfect square trinomial, we need to complete the square.
Therefore, the value of c is:
Using this definition for this case, we have:
Therefore, the perfect square trinomial is:
Answer:
The value of k is:
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Answer: There is no answer because this is a multi step question.
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Step-by-step explanation:
A singular unit in this problem can be found by doing 25.00/2.
This is 12.50. You then use this to answer all the questions.
1.A) She earns 12.50 per hour.
1.B) (Idk if this is right but I'm answering the question) Kate will never have more then Jocelynn if they work the same amount of hours because Jocelynn is simply paid more.
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ANSWER: 35% of 60 is 21 I'll let you figure out the rest.
Final answer:
The magician can hold his breath 35% longer than before, which equates to 81 seconds. This is accomplished by calculating 35% of the initial 60 seconds (21 seconds), and then adding this to the original 60 seconds.
Explanation:
The subject of this question is how to calculate percentages. In this case, we are given that the magician could initially hold his breath for 60 seconds and after employing a new technique, he can now hold his breath for 35% longer than the initial time. To find this out, we need to calculate 35% of 60 and add it to 60.
- First, calculate 35% of 60: 0.35 * 60 = 21 seconds
- Then add that result (21 seconds) to the initial time (60 seconds): 60 + 21 = 81 seconds.
Therefore, using his new technique, the magician can now hold his breath for 81 seconds.
Learn more about Percentages here:
#SPJ3
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The total area of the complete lawn is (100-ft x 200-ft) = 20,000 ft².
One half of the lawn is 10,000 ft². That's the limit that the first man
must be careful not to exceed, lest he blindly mow a couple of blades
more than his partner does, and become the laughing stock of the whole
company when the word gets around. 10,000 ft² ... no mas !
When you think about it ... massage it and roll it around in your
mind's eye, and then soon give up and make yourself a sketch ...
you realize that if he starts along the length of the field, then with
a 2-ft cut, the lengths of the strips he cuts will line up like this:
First lap:
(200 - 0) = 200
(100 - 2) = 98
(200 - 2) = 198
(100 - 4) = 96
Second lap:
(200 - 4) = 196
(100 - 6) = 94
(200 - 6) = 194
(100 - 8) = 92
Third lap:
(200 - 8) = 192
(100 - 10) = 90
(200 - 10) = 190
(100 - 12) = 88
These are the lengths of each strip. They're 2-ft wide, so the area
of each one is (2 x the length).
I expected to be able to see a pattern developing, but my brain cells
are too fatigued and I don't see it. So I'll just keep going for another
lap, then add up all the areas and see how close he is:
Fourth lap:
(200 - 12) = 188
(100 - 14) = 86
(200 - 14) = 186
(100 - 16) = 84
So far, after four laps around the yard, the 16 lengths add up to
2,272-ft, for a total area of 4,544-ft². If I kept this up, I'd need to do
at least four more laps ... probably more, because they're getting smaller
all the time, so each lap contributes less area than the last one did.
Hey ! Maybe that's the key to the approximate pattern !
Each lap around the yard mows a 2-ft strip along the length ... twice ...
and a 2-ft strip along the width ... twice. (Approximately.) So the area
that gets mowed around each lap is (2-ft) x (the perimeter of the rectangle),
(approximately), and then the NEXT lap is a rectangle with 4-ft less length
and 4-ft less width.
So now we have rectangles measuring
(200 x 100), (196 x 96), (192 x 92), (188 x 88), (184 x 84) ... etc.
and the areas of their rectangular strips are
1200-ft², 1168-ft², 1136-ft², 1104-ft², 1072-ft² ... etc.
==> I see that the areas are decreasing by 32-ft² each lap.
So the next few laps are
1040-ft², 1008-ft², 976-ft², 944-ft², 912-ft² ... etc.
How much area do we have now:
After 9 laps, Area = 9,648-ft²
After 10 laps, Area = 10,560-ft².
And there you are ... Somewhere during the 10th lap, he'll need to
stop and call the company surveyor, to come out, measure up, walk
in front of the mower, and put down a yellow chalk-line exactly where
the total becomes 10,000-ft².
There must still be an easier way to do it. For now, however, I'll leave it
there, and go with my answer of: During the 10th lap.
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B. 82°
C. 90°
D. 98°
E. 116°
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Explanation:
The quadrilateral is inscribed in the circle which means every corner point (A,B,C,D) is on the circle. No part of the quadrilateral is outside the circle.
One property of inscribed quadrilaterals is that the opposite angles add to 180 degrees. So,
A+C = 180
B+D = 180
We know that
A = 64
B = 6x+4
C = 9x-1
Let's use angles A and C to find x
A+C = 180
64+9x-1= 180
9x+63 = 180
9x+63-63 = 180-63
9x = 117
9x/9 = 117/9
x = 13
Which helps us find angle B
B = 6x+4
B = 6*13+4
B = 78+4
B = 82 degrees
Then we can finally find angle D
B+D = 180
82+D = 180
82+D-82 = 180-82
D = 98 degrees
Answer:
choiced c 98
Step-by-step explanation: