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3 years ago

Odette knows that segment KN || segment LM. She wants to use the definition of a

Mathematics

1 answer:

aalyn [17]3 years ago

3 0

Answer: slope of segment KL = slope of segment MN

Step-by-step explanation:

we know that a parallelogram always have two pairs of opposite sides that are parallel and therefore the slopes of the opposite sides must be same to be parallel to each other.

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How do i find the volume of a cone with a radius of 9ft and a height of 24ft

ycow [4]

Answer: V≈2035.75ft³

That is a small 3 after ft

HOPE THIS HELPS

8 0

3 years ago

The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of

Varvara68 [4.7K]

Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

P (z < 1) = 0.8413

replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

234 <x <298

That is, the interval would be (234, 298)

6 0

3 years ago

A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,

Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

$Day = 86400\ seconds$

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

$86400/2 = 43200$

$43200/2=21600$

$21600/2=10800$

$10800/2=5400$

$5400/2= 2700$

$2700/2 = 1350$

$1350/2=675$

$675/3=225$

$225/3=75$

$75/3=25$

$25/5=5$

$5/5 = 1$

This implies that:

$86400 = 2^7 * 3^3 * 5^2$

The number of factors d is the solved by:

$d = (a+1)*(b+1) *(c+1)$

Where

$n = 2^a * 3^b * 5^c$

By comparison:

$a = 7$

$b = 3$

$c=2$

So:

$d = (7+1)*(3+1) *(2+1)$

$d = 8*4 *3$

$d = 96$

<em>Hence, there are 96 total ways</em>

7 0

3 years ago

What is the surface area of the figure?

Oliga [24]

Answer:

The total surface area = 582 ft²

Step-by-step explanation:

To find the surface area of it count the number of faces at first

The figure has 8 faces each 2 are equal

1- Two faces with dimensions 4 ft and 15 ft ( base and shaded face)

2- Two faces with dimensions 9 ft and 4 ft

3- Two faces with dimensions 4 ft and 6 ft

4- Two faces with dimensions 15 ft , 9 ft and 6 ft

Area of (1-) = 2(4 × 15) = 120 ft²

Area of (2-) = 2(4 × 9) = 72 ft²

Area of (3-) = 2(4 × 6) = 48 ft²

Area of (4-) = 2[(9 × 9) + (6 × 15)] = 2[81 + 90] = 2 × 171 = 342 ft²

∴ The total surface area = 120 + 72 + 48 + 342 = 582 ft²

5 0

3 years ago

Solve these problems and show your work! ONLY HAND WRITTEN answers will be accepted! When

Dahasolnce [82]

For Kohl’s:

Purchase Price:

$60

Discount:

(60 x 25)/100 = $15.00

Final Price:

60 - 15.00 = $45.00

You would save $15.00 from Kohl’s and pay only $45.00

For Target:

Purchase Price:

$38

Discount:

(38 x 15)/100 = $5.70

Final Price:

38 - 5.70 = $32.30

You would save $5.70 from Target and pay only $32.30

Hope this helps! :)

3 0

3 years ago