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3 years ago

Which decimal number and fraction are equivalent?

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

If you convert 0.35 is equal to 7/20

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Write an expression that can be used to find the length of JH and an expression that can be used to find the length of GJ.

vovangra [49]

Answer: JH = 9 sin(35)

not sure about GH...

Step-by-step explanation:

4 0

3 years ago

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

Solve the equation. 3x+12 = 5x-21

almond37 [142]

3x+12=5x-21
-5x -5x
-2x + 12 = -21
-12 -12
-2x=-33
x = 16.5

4 0

3 years ago

Which inequality best represents the situation? A pine tree grows at a rate of 1.5 feet per year. James plants a 2-foot tall pin

Aloiza [94]

The answer is C. because 1.5 is the height while x is next to it to show the multiplication of years to height

5 0

4 years ago

Read 2 more answers

A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, x. which equ

nirvana33 [79]

Answer: y = 150 + 2.75x

Step-by-step explanation:

Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:

y = 150 + 2.75x

where,

x = number of square foot.

7 0

3 years ago