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3 years ago

If 5 3 cosα = in the first quadrant, what does cot α equal?

Mathematics

1 answer:

frosja888 [35]3 years ago

8 0

Answer:

5/4

Step-by-step explanation:

To Find :-

cot a .

Solution :-

By question ,

=> cos a = 5/3 = b/h

=> p = √ 5² - 3² = √ 25 -9 = 4

Therefore ,

=> cot a = b/p = 5/4

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Find two positive numbers such that the sum of the first and twice the second is 56 and whose product is a maximum

Svetlanka [38]

Let
x-------> the first number
y-------> the second number
P-----> product

we know that
x+2y=56----------> 2y=56-x-----> y=28-0.5x------> equation 1
P=x*y----> equation 2

substitute equation 1 in equation 2
P=x*[28-0.5x]-----> P=28x-0.5x²

using a graph tool
see the attached figure
the vertex is the point (28,392)
that means
for x=28
the product is 392 (maximum)
find the value of y
y=28-0.5x----> y=28-0.5*28----> y=14

the answer is
the numbers are 28 and 14

5 0

4 years ago

3. If x = 12 which equation is true? 7.11B

galina1969 [7]

Answer:

Step-by-step explanation:

evaluate each

3(20-12)=48

3(8)=48

24=48 FALSE

3(12-12)=3

3(0)=3

0=3 FALSE

2(12-3)=18

2(9)=18

18=18 TRUE

5(12)-3=58

60-3=58

57=58 FALSE

5 0

3 years ago

Read 2 more answers

4. BOLD all polynomials that are in standard fom. Help!!! Easy points

Whitepunk [10]

Answer:

b and d

Step-by-step explanation:

on both of those polinomials the terms are in order from the higest degree towards thhe lowest degree

5 0

3 years ago

a particle is moving on the x-axis, where x is in centimeters. it has velocity v(x) in cm/s, when it is at the co-ordinate x, gi

patriot [66]

Answer:

10cm/s²

Step-by-step explanation:

Acceleration is the change in velocity of an object with respect to time.

Given velocity v(x) to be x³-2x+6

Acceleration = ∆v/∆x

Differentiating the velocity function to get acceleration we have,

Acceleration = dv/dt = 3x²-2

Acceleration of the particle at x = 2 will give;

dv/dt @ x = 2 is 3(2)²-2

= 12-2 = 10cm/s²

5 0

3 years ago

Giving brainily to correct answer!!!!

babymother [125]

A= 1/2 b x h

A = 1/2 8 x 9

A = 1/2 (72)

A= 36

Answer is 32 square cm

(32cm²)

Hope this helped,

Jon

7 0

3 years ago

Read 2 more answers