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kondor19780726 [428]
3 years ago
6

Find two consecutive odd integers such that 65 more than the lesser is four times the greate

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0
Let the lesser number be x  and y the greater. Then

x + 65 = 4y ,  Also

y - x =  2
Adding:-

y + 65 = 4y + 2
63 = 3y
y = 21
and
x = 21-2 = 19

Answer the 2 odd numbers are 19 and 21.


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An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area
vodomira [7]
Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
2π(30) + 2*120 = 60π + 240 m = 428.5 m

The area of the oval is 
π(30²) + 60*120 = 900π + 7200 m² = 1.0027 x 10⁴ m²

Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
Circumference = 120π + 120 m = 497 m
Area = 3600π + 7200 m² = 1.851 x 10⁴ m²

Answer:
If the semi circles are placed on the 60-m sides of the rectangle, then
Circumference = 60π + 240 m, or 428.5 m
Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
Circumference = 120π + 120 m, or 497 m
Area = 3600π + 7500 m², or 1.851 x 10⁴ m²


3 0
4 years ago
The Correct Answer Is?
Alekssandra [29.7K]
Hello!

n<span>≤-1/2 means that n is less than the open circle, because an open circle means the variable can not be equal to that point. so your answer is: D

I hope this helps, and have a nice day.
</span>
8 0
3 years ago
Can u solve these 4 me?
Ber [7]

So for this:

(-1/3+-0.3/3+1) ^2

(-1/3-0.1+1)^2

(1-1.3/3)^2

(1-0.433333)^2

0.566667^2

Answer: 0.321111

0.32

8 0
3 years ago
Which of the following points are solutions to the inequality below?
Yakvenalex [24]
So, in order to find out which ordered pairs are the solutions to the given inequality above, we just have to plug in the given values.
Lets take option A.
2 > -3(0) + 2
2 > 0 + 2
2 > 2 ---- 2 is not greater than 2, which makes this ordered pair not a solution to the given inequality.
So, do the same with the rest of the ordered pairs.
So the ordered pairs that are the solutions would only be options C, E and F. Hope that answer helps. 
5 0
3 years ago
1.17375 rounded to nearest tenth​
Elden [556K]

Answer:

1.2

Step-by-step explanation:

Since we are rounding it by the tenth, it means we are rounding to the 1st digit to the right of the decimal.

We know 7 is greater then 5 meaning we round up

.1 + .1 is equal to .2 meaning its 1.2

If you still don't understand, I recommend you talk to your teacher

5 0
3 years ago
Read 2 more answers
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