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3 years ago

Cot(pi/2-x)/Cosx

1 answer:

5 0

hello :
<span>Cot(pi/2-x)= tanx
</span><span>Cot(pi/2-x)/Cosx = tanx/cosx =tanx ×(1/cosx) = tanx ×secx
</span>because 1/cosx = secx

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Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube

SOVA2 [1]

Answer:

h=8

Step-by-step explanation:

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7 0

3 years ago

If the distance from A (5,6) to B (1, b) is twice the distance from B to

Nimfa-mama [501]

Answer:

The possible values of $b$ are -2.944 and -9.055, respectively.

Step-by-step explanation:

From statement we know that $AB = 2\cdot BC$ . By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:

$AB = 2\cdot BC$

$\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}$ (1)

Where:

$x_{A}$ , $x_{B}$ , $x_{C}$ - x-Coordinates of points A, B and C.

$y_{A}, y_{B}, y_{C}$ - y-Coordinates of points A, B and C.

$(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}$

Then, we expand and simplify the expression above:

$x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})$

$x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}$

If we know that $x_{A} = 5$ , $y_{A} = 6$ , $x_{B} = 1$ , $y_{B} = b$ , $x_{C} = 1$ and $y_{C} = -3$ , then we have the following expression:

$1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}$

$b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132$

$3\cdot b^{2}+36\cdot b +80 = 0$

This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:

$b_{1} \approx -2.944$ , $b_{2} \approx -9.055$

In consequence, the possible values of $b$ are -2.944 and -9.055, respectively.

8 0

3 years ago

The extremes in the proportion 3/4=15/20 are

ollegr [7]

<span>In the form of a/b = c/d in proportions in math, the outer terms are called the extremes and the inner terms are called means. In the given 3/4 = 15/20, the outer terms or the extremes are 3 and 20.</span>

3 0

4 years ago

What is the value of x in the triangle?

never [62]

Answer:

a) 10√2 is correct answer

6 0

3 years ago

PLEASE HELP ,,,,1. If AMNP is an equilateral triangle, find the values of x<br> and y.

PSYCHO15rus [73]

An equilateral triangle is a triangle in which all three sides have the same length $.$

⭆ 14 = 3x - 4

⭆ 3x = 14 + 4

⭆ 3x = 18

⭆ x = 18/3

⭆ x = 6

In equilateral triangle, all three internal angles are also same and each are of 60°.

⭆ 5y - 5 = 60

⭆ 5y = 60 + 5

⭆ 5y = 65

⭆ y = 65/5

⭆ y = 13

★ Final answer :

x = 6
y = 13

<h3>Hope It Helps!</h3>

8 0

4 years ago

Read 2 more answers