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Semmy [17]
3 years ago
6

Solve the triangle using law of cosines

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

What triangle..........?

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The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4
dsp73

Answer:

Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5  where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch.  Now, solve for 'r':

Subtract 49.3 from both sides:  4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

6 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
3 years ago
"Scenario: You have to pay your share of the rent today. The total rent for your apartment is $1762.50. You have two roommates t
topjm [15]

Answer:

You would be required to pay $587.50

Step-by-step explanation:

Divide $1762.50 by three:

You get $587.50

To find how much you have left:

Subtract 587.50 from 668.72:

You'd be left with

$81.22

3 0
3 years ago
Read 2 more answers
A soccersoccer playerplayer who makesmakes 2020​% of herher free kicksfree kicks is asked to kickkick free kicksfree kicks until
BlackZzzverrR [31]

Answer:

Yes.

This probability experiment represents a binomial experiment.

Step-by-step explanation:

A binomial probability experiment is the discrete probability distribution of the number of successes in a sequence of n independent experiments. It has only two outcomes - either yes or no.

For this case it is a binomial probability experiment because the only outcomes available are: she either misses the free kick or gets it.

8 0
3 years ago
Alice walks 6/10 mile everyday. How many miles does she walk in 5 days ?
wlad13 [49]
She walks 3 miles,cause think about it if 6/10 of a mile is .6 or 60% then you times that by 5 and you get three.

7 0
3 years ago
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