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3 years ago

6

Express as a product:

sin^2\alpha" align="absmiddle" class="latex-formula">

1 answer:

Basile [38]3 years ago

3 0

Answer:

(1 - 2sinα)(1 + 2sinα)

Step-by-step explanation:

1 - 4sin²α ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

1 - 4sin²α

= 1² - (2sinα )²

= (1 - 2sinα)(1 + 2sinα)

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A section of a deck is shaped like a trapezoid. For this section, the length of one base is 35 feet, and the

Sindrei [870]

Answer:

Step-by-step explanation:

a = 35 feet

b = 54 feet

h = 28 feet

$Area=\frac{[a+b]*h}{2}\\\\=\frac{[35+54]*28}{2}\\\\=\frac{89*28}{2}\\\\=89*14\\\\$

= 1246 square feet

3 0

3 years ago

Use multiplication to find three equivalent ratios<br> 11 : 9

dlinn [17]

11 : 9

×2 ×2

22 : 18

11 : 9

×3 ×3

33 : 27

11 : 9

×4 ×4

44 : 36

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3 years ago

24) sin x = 1/3<br> Find cos x.

liq [111]

Answer:

$\frac{2\sqrt{2} }{3}$

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

$\sqrt{9-1}=\sqrt{8}=2\sqrt{2}$

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

$\frac{2\sqrt{2} }{3}$

6 0

3 years ago

Read 2 more answers

Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont

Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

<em><u>The question is </u></em>

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

$0\ kWh \leq x < 400\ kWh$

The price is equal to

$y=\$30$

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

$x\geq 400\ kWh$

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

$y=0.097x$

<em>Find the range</em>

For x=400 kWh

$y=0.097(400)=\$38.8$

so

$y\geq \$38.8$

The range is the interval -----> [38.8, infinite)

7 0

3 years ago

What of the following types of angles are congruent

kifflom [539]

I’d like to answer the but What angle ??

4 0

3 years ago