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3 years ago

Which inequality is true?

Mathematics

1 answer:

AlladinOne [14]3 years ago

3 0

Answer: The answer is -0.5<-0.25

Step-by-step explanation:

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Prove that 1/sin^2A -1/tan^2A= 1

Vika [28.1K]

Answer:

Step-by-step explanation:

$LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS$

Hint: 1 - Cos² A = Sin² A

4 0

2 years ago

(Which is the simplified form of the expression ? 3(7/5x+4)-2(3/2-5/4x)

Illusion [34]

Answer:

let's see what to do buddy....

Step-by-step explanation:

$3( \frac{7}{5}x + 4) - 2( \frac{3}{2} - \frac{5}{4}x) \\ \\ = \frac{21}{5}x + 12 - 3 + \frac{5}{2}x \\ \\ = \frac{(21 \times 2) + (5 \times 5)}{10} x + 9 = \\ \\ \frac{42 + 25}{10} x + 9 = \frac{67}{10}x + 9 = 6.7x + 9$

5 0

2 years ago

Yuki´s guppies have begun to have babies . She started with 5 guppies. One week later,yuki counted twice as many guppies in the

Sati [7]

Answer:6 weeks

Step-by-step explanation: 5, 10, 20, 40, 80, 160

8 0

3 years ago

A road map of the state of Texas has a scale of 0.5 miles in =50 miles. If the distance between two points in the state is 600 m

tamaranim1 [39]

Answer:

6 miles

Step-by-step explanation:

Let's set up a ratio:

$\frac{0.5}{50}=\frac{x}{600}$

We can use "cross multiplication" to solve for x

Cross multiplication is multiplying the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction.

$0.5*600=50x$

$300=50x$

Divide both sides by 50 to isolate x

$x=6$

8 0

2 years ago

Part A

Nitella [24]

Answer:

P = 300

r = 0.15

n = 12

A(t) = 300(1.0125)^12t

Step-by-step explanation:

Given that:

Total credit taken for book purchase = $300

Annual Interest rate = 15% compounded monthly

Time or period = 4 years

P(1 + r/n)^nt

P in the expression above means the principal amount which is the total credit spent on book purchase = $300

r = annual interest rate on Emma's account = 15% = 15/100 = 0.15

n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12

Hence,

P = $300 ; r = 0.15 ; n = 12

Substituting into the equation :

P(1 + r/n)^nt

Simplified expression written in terms of t:

Final amount, A after t years

A(t) = 300(1 + 0.15/12)^12t

A(t) = 300(1 + 0.0125)^12t

A(t) = 300(1.0125)^12t

3 0

3 years ago