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2 years ago

Write a system of linear equations for the graph below

Mathematics

1 answer:

Scilla [17]2 years ago

3 0

I am not sure if you have any questions or concerns please visit the plug-in settings please log in to see you soon and I am not sure if this time I am not a good time I had the opportunity and I am not able to get to the invoice and I have the invoice to you as

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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

2 years ago

Question 15 Unsaved Which biconditional is NOT a good definition? Question 15 options: A whole number is odd if and only if the

skad [1K]

We see that the second definition is not a good definition. We want both parts to have the same truth value, but we see that we can have two angles created by a ray that are not equal. That means the antecedent is false but the consequence is true, which means it's not an iff statement, and a bad definition in this context.

5 0

3 years ago

Will give brainliest for 5marks

anastassius [24]

Answer:

$230

Step-by-step explanation:

Work hours Monday till Friday:

3.5 + 5 + 2.5 + 4 + 2 = 18 hours

Payment for 5 days:

15*$8 + (18 - 15)*$10 = $150

Payment for Saturday:

5*2*$8 = $80

Total payment:

$150 + $80 = $230

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2 years ago

Read 2 more answers

Points for free cause I'm feeling good today

Oksana_A [137]

Answer:

thanks

Step-by-step explanation:

h1tj26jw6uw6hw6jwyjwy qjg3jwjbwb

4 0

2 years ago

Read 2 more answers

The product of 3 and a number increased by 10 is 28

SCORPION-xisa [38]

Are those all your options? the answer would be 3x+10= 28 but you dont have it as a multiple choice.

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3 years ago