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3 years ago

Solve the following inequality for g. Write your answer in simplest form. -5-3(5g-4)≥2g+6-10

Mathematics

1 answer:

denpristay [2]3 years ago

3 0

Answer:

$g\leq \frac{11}{17}$

Step-by-step explanation:

$-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}$

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Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

Becky accepted a job as an inventory manager after being offered an $800 signing bonus. If she makes $23 an hour, which equation

dusya [7]

Y = 23x + 800 (Apex)

6 0

3 years ago

Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 squar

krok68 [10]

The equation that can be used to determine the dimensions of the base of the doghouse is x² + 4x = 21

<h3> What is the equation?</h3>

A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.

Area of a rectangle = length x width

width = x
length = 4 + x

x (4 + x) = 21

x² + 4x = 21

To learn more about quadratic equations , please check: brainly.com/question/27696091

#SPJ1

5 0

2 years ago

Read 2 more answers

The base of a rectangular prism has an area of 19.4 square meters and the prism has a volume of 306.52 cubic meters. Write an eq

balu736 [363]

Answer:

15.8

Step-by-step explanation:

The formula would be V = Bh, the Base being LxW.

Since we already know the base and volume, we can substitute it into the formula.

306.52 = 19.4(h). Divide by 19.4, and you get 15.8 as your answer.

Hope that helps! Tell me if im worng, im only a student .m.

7 0

4 years ago

How do you factor x^2+11x+10=0?

xz_007 [3.2K]

Answer:

x = -1 or x = -10

Step-by-step explanation:

x^2 + 11x + 10 = 0

x^2 + 10x + x + 10 = 0

x(x + 10) + 1(x + 10) = 0

(x + 1) (x + 10) = 0

x + 1 = 0 or x + 10 = 0

x = -1 or x = -10

8 0

4 years ago