What are fractions greater than 1/2 but less than one

1 answer:

3 0

We know that 1/2 as a decimal is 0.5. Any decimal/fraction between 0.5 and 1 will be correct. For Example, 0.75 is greater than 0.5 but less then 1. 0.75 as a fraction is 3/4.

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Please please help!!

shepuryov [24]

Answer:

$\large\boxed{x=0\ and\ x=\pi}$

Step-by-step explanation:

$\tan^2x\sec^2x+2\sec^2x-\tan^2x=2\\\\\text{Use}\ \tan x=\dfrac{\sin x}{\cos x},\ \sec x=\dfrac{1}{\cos x}:\\\\\left(\dfrac{\sin x}{\cos x}\right)^2\left(\dfrac{1}{\cos x}\right)^2+2\left(\dfrac{1}{\cos x}\right)^2-\left(\dfrac{\sin x}{\cos x}\right)^2=2\\\\\left(\dfrac{\sin^2x}{\cos^2x}\right)\left(\dfrac{1}{\cos^2x}\right)+\dfrac{2}{\cos^2x}-\dfrac{\sin^2x}{\cos^2x}=2$

$\dfrac{\sin^2x}{(\cos^2x)^2}+\dfrac{2-\sin^2x}{\cos^2x}=2\\\\\text{Use}\ \sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-(1-\cos^2x)}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-1+\cos^2x}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{1+\cos^2x}{\cos^2x}=2$

$\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{(1+\cos^2x)(\cos^2x)}{(\cos^2x)^2}=2\qquad\text{Use the distributive property}\\\\\dfrac{1-\cos^2x+\cos^2x+\cos^4x}{\cos^4x}=2\\\\\dfrac{1+\cos^4x}{\cos^4x}=2\qquad\text{multiply both sides by}\ \cos^4x\neq0\\\\1+\cos^4x=2\cos^4x\qquad\text{subtract}\ \cos^4x\ \text{from both sides}\\\\1=\cos^4x\iff \cos x=\pm\sqrt1\to\cos x=\pm1\\\\ x=k\pi\ for\ k\in\mathbb{Z}\\\\\text{On the interval}\ 0\leq x$

4 0

2 years ago

Infiniti sells 8 different models of cars, with 5 different trim levels and 5 color choices. What is the total amount of options

solniwko [45]

Answer:

200

Step-by-step explanation:

Infiniti sells 8 different models of cars, with 5 different trim levels and 5 color choices.

Now, 8 different models of cars with 5 different trim levels have (8 × 5) = 40 choices.

Similarly, with 8 different models of cars, with 5 different trim levels and 5 color choices, there will be total (40 × 5) = 200 options one could choose. ( Answer )

4 0

3 years ago

Can someone help maths

Mamont248 [21]

First find angle EBC.
The are for a triangle is 180 degrees.
It is a right triangle and has a right angle.
180 - (90 + 50)
180 - 140
angle EBC IS 40
NOW FIND X
The line is 180 degrees.
180 -40 = 140
X = 140 DEGREES

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3 years ago

Number 7 please! I need help badly

melamori03 [73]

Answer:

A computer costs $225 and a printer $150.

Step-by-step explanation:

Let c be the cost of a computer and p the cost of a printer, then:

3c + p = 825

4c + 2p = 1200

Multiply the first equation by -2:

-6c - 2p = -1650