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3 years ago

Help me pls..........

Mathematics

1 answer:

CaHeK987 [17]3 years ago

3 0

Answer:

x = 72 , y = 108

Step-by-step explanation:

2x and $\frac{x}{2}$ are adjacent angles on a straight line and sum to 180° , that is

2x + $\frac{x}{2}$ = 180 ( multiply through by 2 to clear the fraction )

4x + x = 360

5x = 360 ( divide both sides by 5 )

x = 72

--------------------------

$\frac{x}{2}$ = $\frac{72}{2}$ = 36

$\frac{x}{2}$ and $\frac{y}{3}$ are vertically opposite and are congruent , then

$\frac{y}{3}$ = 36 ( multiply both sides by 3 )

y = 108

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the algebraic expression 6(2x)+9x+3 represents the area of a rectangle .what is the the area of the rectangle when x =3 feet

sashaice [31]

Answer:

66. Assuming after you substituted 3 in place of x, you followed order of operations, or PEMDAS.

Step-by-step explanation:

6(2x) + 9x +3 = area

6 (2(3)) + 9(3) + 3 = area

6 x 6 + 27 + 3 = area

36 + 30 = 66

area = 66

5 0

3 years ago

A recipe calls for 1 1/2 cups of sugar. Alexis only has measuring cups that measuring cups that measure 1/4 cup. how many times

marishachu [46]

Change 1 1/2 into improper faction

1 1/2 = 3/2

Change 3/2 to quarters

3/2 = 6/4

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To get 6/4 cups 
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3 years ago

suppose for an angle theta in a right triangle cos theta = C. Sketch and label this triangle, and then use it to write the other

VARVARA [1.3K]

Answer:

$sin\theta = \sqrt{1-C^2}$

$tan\theta = \dfrac{\sqrt{1-C^2}}{C}$

$cot\theta = \dfrac{C}{\sqrt{1-C^2}}$

$sec\theta = \dfrac{1}{C}}$

$cosec\theta = \dfrac{1}{\sqrt{1-C^2}}$

Step-by-step explanation:

Given that:

$\theta$ is an angle in a right angled triangle.

and $cos\theta = C$

To find:

To draw the triangle and write other five trigonometric functions in terms of C.

Solution:

We know that cosine of an angle is given by the formula:

$cosx =\dfrac{Base}{Hypotenuse}$

Here, we are given that $cos\theta = C$ OR

$cos\theta = \dfrac{C}{1}$

i.e. Base = C and Hypotenuse of triangle = 1

Please refer to the right angled triangle as per given statements.

$\triangle PQR$ , with base PR = C units

and hypotenuse, QP = 1 unit

$\angle R$ is the right angle.

Let us use pythagorean theorem to find the value of perpendicular.

According to pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

$1^{2} = C^{2} + QR^{2}\\\Rightarrow QR = \sqrt {1-C^2}$

$sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta = \dfrac{\sqrt{1-C^2}}{1}\\\Rightarrow sin\theta = \sqrt{1-C^2}$

$tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan\theta = \dfrac{\sqrt{1-C^2}}{C}$

$cot\theta = \dfrac{Base}{Perpendicular}\\\Rightarrow cot\theta = \dfrac{C}{\sqrt{1-C^2}}$

$sec\theta = \dfrac{Hypotenuse}{Base}\\\Rightarrow sec\theta = \dfrac{1}{C}}$

$cosec\theta = \dfrac{Hypotenuse}{Perpendicular}\\\Rightarrow cosec\theta = \dfrac{1}{\sqrt{1-C^2}}$

5 0

3 years ago

A square is inscribed in a quarter of a circle,calculate the quarter circle.

Anna [14]

Answer:

Step-by-step explanation:

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2 years ago

[Inequalities] Please help and thanks.

sergeinik [125]

At least means it can be larger than or equal to.

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No more than means less than or equal to:

X <= $7

3 0

3 years ago

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Help me pls.......... ​

Help me pls..........