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givi [52]
3 years ago
5

If tan x is equal to 3/4 find the value of sin x + cos x/ cos x (1 - cos x) ​

Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

35/4 =8¾

Step-by-step explanation:

using pythagoras theorem

hyp²=opp²+adj²

recall that tanX= opp/adj

taking our opposite side to be 3 and the adjacent side to be 4 , the hyp² = 3²+4²

hypotenuse = 5

recall also that , sinX = opposite /hypotenuse

= 3/5

CosX= adjacent /hypotenuse

=4/5

so we've known tanx = 3/4 cosX = 4/5 sinx= 3/5

substitute these values into your equation

it will give us 3/5 + 4/5 divided by 4/5 ×(1-4/5)

=35/4 = 8¾

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Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression r
lawyer [7]

Answer:

2x⁴+x³-x²+54x+56

Step-by-step explanation:

Given the expression length of dylan room =  (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;

Area of rectangle = Length *Width

Area of the rectangle =  (x² – 2x + 8)(2x² + 5x – 7)

Area of the rectangle  = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)

= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)

expanding the bracket

= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56

Collecting the like terms;

= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56

= 2x⁴+x³-x²+54x+56

Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56

6 0
3 years ago
Read 2 more answers
Point A has coordinates (6,4) and point B has coordinates (2,7) write AB as column vector. Plz plz plz
Olenka [21]

Answer:

\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}

Step-by-step explanation:

<u>Column Vector</u>

Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.

It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).

The vector directed from A to B is found by subtracting its corresponding coordinates:

\overrightarrow{AB }=

\overrightarrow{AB }=

Now we express the vector as a one-column matrix as follows:

\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}

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2 years ago
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Fynjy0 [20]

Umm...... Okay then..?

7 0
3 years ago
Need some help with this
polet [3.4K]

Answer:

use p e m d a s

Step-by-step explanation:

p=parenthesis

e=exponents

m=multipltly

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3 years ago
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Answer:

55+55+52+52=214

I HOPE IT WILL HELP YOU. YOU ARE WELCOMMMMMMME.

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