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Mamont248 [21]
3 years ago
14

Jim and Carla are scuba diving. Jim started out 12 feet below the surface. He descended 17 feet, rose 3 feet, and descended 8 mo

re feet. Then he rested. Carla started out at the surface. She descended 19 feet, rose 3 feet, and descended another 17 feet. Then she rested. Which person rested at a greater depth? Complete the explanation.
Mathematics
1 answer:
Maslowich3 years ago
5 0

Answer:

Jim reached a greater depth by one foot, as he started 12 feet below the surface.

Step-by-step explanation:

Jim

12 feet+17 feet = 29

29-3 feet (rose 3 feet) = 26

26+8= 34 feet

Carla

0 feet (surface)+ 19 feet= 19

19-3 feet= 16

16+17= 33 feet

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3 years ago
An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t
Over [174]

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

\angle ACB=4^{\circ}  (Alternate interior angles)

For any angle \theta, \tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put AB=532\,,\,\angle C=4^{\circ}

\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet

Distance from the base of the cliff to the point on the ground = 7608 feet

Download pptx
5 0
3 years ago
The sum of the roots of 3x 2 + 11x - 4 = 0 is<br><br> -11/3<br> -4/3<br> 11/3<br> 4/3
givi [52]

Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0             .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

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From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

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Therefore the correct option is 1.

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3 0
4 years ago
Read 2 more answers
MUST ANSWER ALL PARTS!!!!
dsp73
Hello there,

The outlier of the data set is 92. Lets first find everything with the outlier.
Mean: 60.08
Median: 57
Mode: 52 
Range:46

Now let's take out the outlier of the set and see the difference.
Mean: 54.27
Median:56
Mode: 52
Range: 15

So as we can see without the outlier everything is closer together. The outlier shouldn't be included because that makes the entire set screwed up. The data is more accurate without the outlier.

Hope this helps!

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3 years ago
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