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2 years ago

If tan 0=1/3 find cot 0.

Mathematics

1 answer:

Karolina [17]2 years ago

8 0

Answer: cot 0 = 3

Cotangent is the reciprocal of tangent, so it would be 3/1, which simplified to 3.

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"Lito had some marbles. He gave ½ of his marbles plus 1 to Felix, ½ of the remaining marbles plus 1 to Ces, and ½ of the last re

Nuetrik [128]

let

x-------> total amount of marbles at the beginning

we know that

1) He gave ½ of his marbles plus 1 to Felix

(1/2)*x+1=(x+2)/2 (Felix's marbles)

remaining=x-[(x+2)/2]-----> [2x-x-2]/2------> (x-2)/2

2)½ of the remaining marbles plus 1 to Ces

(1/2)*[(x-2)/2]+1=[(x-2)/4]+1-----> (x+2)/4 (Ce's marbles)

remaining=[(x-2)/2]-[(x+2)/4]-----> [2x-4-x-2]/4------> (x-6)/4

3) ½ of the last remaining marbles plus 1 to Pedro

(1/2)*[ (x-6)/4]+1=[(x-6)/8)+1------> (x+2)/8 (Pedro's marbles)

remaining=[(x-6)/4]-[(x+2)/8]------> [2x-12-x-2]/8-----> (x-14)/8

4)If Lito had 1 marble left for himself

the last remaining is equal to 1

(x-14)/8=1-----> x-14=8------> x=22 marbles

Verify

(x+2)/2 (Felix's marbles)------> (22+2)/2=12

(x+2)/4 (Ce's marbles)------> (22+2)/4=6

(x+2)/8 (Pedro's marbles)---> (22+2)/8=3

Lito's marbles------------------> 1

total=12+6+3+1=22--------> is ok

therefore

the answer is

the total amount of marbles at the beginning was 22

4 0

3 years ago

Need help please ty (:<br> Find x.

MArishka [77]

<h3>Answer: x = 18 (choice B)</h3>

===================================

Work Shown:

Through the inscribed angle theorem, we can say that 2 times the inscribed angle gets us the arc that the inscribed angle cuts off.

2*(inscribed angle) = arc measure

2*(2x+2) = 76

4x+4 = 76

4x+4-4 = 76-4 ... subtract 4 from both sides

4x = 72

4x/4 = 72/4 ... divide both sides by 4

x = 18

8 0

3 years ago

Read 2 more answers

Graph the following function on the axes provided.

Paul [167]

Answer:,

Step-by-step explanation:

7 0

2 years ago

Please actually answer and not just take my points and answer quick this is timed

Arte-miy333 [17]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

$y$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=4x-8$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

$y\geq -\frac{5}{2}x+5$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-\frac{5}{2}x+5$

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

<em>Inequality A</em>

$-8$

$-8$ ----> is true

the ordered pair satisfy inequality A

<em>Inequality B</em>

$-8\geq -\frac{5}{2}(5)+5$

$-8\geq -7.5$ ---> is not true

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system

6 0

2 years ago

HEB sells mangos for $2.50 each. Costco Sells them for $1.75 each but has a

Gnoma [55]

Answer:

$20.833

Step-by-step explanation:

HEB:

Total cost = 2.50m

Costco:

Total cost = 50 + 1.75m

Where,

m = number of mangoes

HEB = Costco

2.50m = 50 + 1.75m

2.50m - 1.75m = 50

O.75m = 50

m = 50 / 0.75

= $20.833

6 0

3 years ago