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3 years ago

x-7>27 Sove the inequality and enter your solution as an inequality comparing the variable to a number

Mathematics

1 answer:

pishuonlain [190]3 years ago

8 0

Answer:

x > 34

Step-by-step explanation:

x-7>27

Add 7 to each side

x-7+7 > 27+7

x > 34

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What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1

Lady_Fox [76]

Answer:

sin^-1 (1/2) = 30°

Step-by-step explanation:

* Lets explain how to find the trigonometry functions from the unit circle

- The unit circle is the circle whose radius is 1 unit

- It intersects the four axes at:

# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)

# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)

- The terminal of any angle intersect it at point (x , y) where x² + y² = 1

- If The angle between the terminal side and the x-axis is Ф , then

# The adjacent side of Ф = x

# The opposite side of the angle Ф = y

- In the problem the terminal side lies in the first quadrant

∴ all the trigonometry functions are positive

∵ sin Ф = opposite/hypotenuse

∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1

∴ sin Ф = 1/2 ÷ 1 = 1/2

- To find Ф use the inverse function sin^-1 Ф

∵ sin Ф = 1/2

∴ Ф = sin^-1 (1/2)

∴ Ф = 30°

* sin^-1 (1/2) = 30°

6 0

3 years ago

Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many diffe

Phoenix [80]

Fire, ice, and inhabitants

4 0

3 years ago

Solve: 100times q equals 8.5648

Serga [27]

Divide 100 by 8.5648. answer is : <span> 100÷ 8.6548</span> 11.5542820169

hope it hlps ^-^

8 0

3 years ago

Read 2 more answers

A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. The length of the deck

leva [86]

Let the width be W, then the length is 4W (since the width is 1/4 the length)

The area of the original deck is $W*4W=4W^{2}$

The dimensions of the new deck are :

length = 4W+6
width=W+2

so the area of the new deck is :

$(4W+6)(W+2)= 4W^{2}+8W+6W+12= 4W^{2}+14W+12$

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:

$4W^{2}+14W+12=68+4W^{2}$

$14W+12=68$

$14W=68-12=56$

$W= \frac{56}{14}= 4$

the length is $4W=4*4=16$ ft

Answer: width: 4, length: 16

3 0

4 years ago

Describe the transformation f(x) = 2x + 1 -> g(x) = -8(x + 4) - 1

katrin2010 [14]

f(x) = 2x + 1; Paren graph = x;

The graph was shifted one unit up and stretched 2 times.

g(x) = -8(x+4) - 1 = -8x - 32 - 1 = -8x - 33

The graph was shifted 33 units down and stretched 8 times and flipped 180 degrees.

8 0

3 years ago