Zayn puts garland around a square window. He

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

QUICK! WHAT IS THIS ANSWER?

FromTheMoon [43]

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

we want to expand the following expression:

$\displaystyle - \frac{1}{4} ( - 8x + 12y)$

well to do so we consider distributive property thus distribute:

$\displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y)$

reduce fraction which yields:

$\displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y) \\ \\ \displaystyle 2x + ( - 3y)$

simplify Parentheses:

$\displaystyle \boxed{ 2x - 3y}$

in the expression there's a common factor of 4 therefore factor it out:

$\displaystyle 9.4a - 4.4 \\ \\ \displaystyle \boxed{4(9a - 4)}$

3 0

3 years ago

What do we mean when we say that a distribution is symmetric?

rusak2 [61]

Answer:

values of variables occur at regular frequencies and the mean , median and mode occur at the same point

Step-by-step explanation:

i found this on google sorry if it is a writing prompt so copy/paste if it is

<3

8 0

3 years ago

MEC makes a big family tent in the shape of a symmetrical triangular prism. The floor of the tent is 5 m long and 2.5 m wide. Th

SVEN [57.7K]

Answer:

15,236 sq in

Step-by-step explanation:

First, you have to split the net into three rectangles and two triangles

step 1

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

2 x 1,408 sq in = 2,816 sq in.

step 2

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

2 x 4,692 sq in = 9,384 sq in

Now find the area of the middle rectangle

lw - (69 in) (44 in) = 3,039 sq in.

then add all the areas together

2,816 + 9,384 + 3,036 = 15,236 sq in

Hope this helps :)

3 0

3 years ago

Write an equation in slope-intercept form for the line that goes through points (1.4, 0) and (1, –2).

RUDIKE [14]

Answer:

y=5x-7

Step-by-step explanation:

1. find slope

1-1.4

is 5

2. find y intercept

y-0=5(x-1.4)

y=5x-7

4 0

3 years ago

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