PLEASE HELP ! find the value of x.

Please help AS LEVEL c2 tell me how to work out

Korolek [52]

$\bf [1-tan(\theta)][2sin(\theta)+1]=0\implies 
\begin{cases}
1-tan(\theta)=0\\\\
1=tan(\theta)\\\\
tan^{-1}(1)=\theta\\\\
\qquad \frac{\pi }{4},\frac{5\pi }{4}\\
----------\\
2sin(\theta)+1=0\\\\
2sin(\theta)=-1\\\\
sin(\theta)=\frac{-1}{2}\\\\
sin^{-1}\left(-\frac{1}{2} \right)=\theta\\\\
\qquad \frac{7\pi }{6},\frac{11\pi }{6}
\end{cases}$

3 0

4 years ago

Divide 15 root 20 by 6 root 125

nata0808 [166]

Answer:

15√20/6√125

=√20/√5

=2

Step-by-step explanation:

7 0

4 years ago

The percentage increase in the area of a rectangle if each of its sides is increased by 20% is.

SVETLANKA909090 [29]

The percentage increase in the area of a rectangle is 44% if each of its sides is increased by 20%.

<h3>What is a rectangle?</h3>

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

New length = (120x/100) m

New breadth = (120y/100) m

New area = (6x/5 × 6y/5) m²

The difference between the original area = xy

new area 36xy/25

Percentage increase = (11xy/25 1/xy x 100)

= 44%

Thus, the percentage increase in the area of a rectangle is 44% if each of its sides is increased by 20%.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ4

8 0

2 years ago

SHOE COLLECTION: Marquise, Bron'Tavious, and JayDarius each have a shoe collection of Nike Air Vapor Max shoes. Marquise has two

Natasha_Volkova [10]

Answer:

(a) The number of shoes that Marquise has is 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has is 20 pairs of shoes

(c) The number of pairs of shoes that JayDarius has is 35 pairs of shoes

Step-by-step explanation:

The given information are;

The number of shoes that Marquise has = 2 × The number of pairs of shoes that Bron'Tavious

The number of pairs of shoes that JayDarius has = The number of pairs of shoes that Bron'Tavious + 15

The total number of pairs of shoes they have all together = 95 pairs of shoes

Let the number of pairs of shoes that Bron'Tavious has = X. Therefore, we have;

The number of shoes that Marquise has = 2 × X

The number of pairs of shoes that JayDarius has = X + 15

The total number of pairs of shoes they have all together = X + X + 15 + 2 × X = 95

X + X + 15 + 2 × X = 95

4 × X + 15 = 95

4 × X = 95 - 15 = 80

X = 80/4 = 20

∴ X = 20

(a) The number of shoes that Marquise has = 2 × X = 2 × 20 = 40

The number of shoes that Marquise has = 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has = X = 20

The number of pairs of shoes that Bron'Tavious has = 20 pairs of shoes

(c) The number of pairs of shoes that JayDarius has = X + 15 = 20 + 15 = 35

The number of pairs of shoes that JayDarius has = 35 pairs of shoes.

5 0

3 years ago

Somebody help me please

elena-14-01-66 [18.8K]

Answer:

40

Step-by-step explanation:

The triangle on the right is smaller than the one on the left, so the numbers on the right triangle are smaller. The numbers are being multiplied by 5 because...

side 5 times 5 = side 25 on the left triangle

side 6 times 5 = side 30 on the left triangle

so...

side 8 time 5 = side 40 on the left triangle which is the answer

3 0

3 years ago