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2 years ago

3x + 25 = 2(4x – 10) solve step by step

2 answers:

8 0

The answer is: X=9 first step is to distribute 2 into 4x and -10 then move the 8x over behind the 3x, then combine 8x and 3x together to get -5x=-20-25 combine -20 and -25 to get -45 then divide -45 by -5 to get x=9

bixtya [17]2 years ago

4 0

Answer:

x=9

Step-by-step explanation:

3x + 25 = 2(4x – 10)

3x + 25 = 8x-20

3x-8x=-20-25

-5x=-45

5x=45

x=9

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Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

2 years ago

Please I need ASAP. First one to answer will get Brainyist.

Rzqust [24]

Answer:

I'm just here for my points sorry bro

4 0

2 years ago

Read 2 more answers

What is the difference? Negative 6 minus (11)

aleksklad [387]

Answer:

-17

Step-by-step explanation:

-6-11=-17

4 0

2 years ago

Suppose you are traveling straight from Los Angeles, California to Albuquerque, New Mexico, stopping overnight in Flagstaff, Ari

Roman55 [17]

D. L.A. to Flagstaff, 465 miles; Flagstaff to Albuquerque, 345 miles

The answer above is correct.

810 - 120 = 690 ; 690 / 2 = 345 mi ( Flagstaff to Albuquerque )

810 - 345 = 465 mi ( L.A. to Flagstaff )

3 0

3 years ago

candice is going to replace the top of a table with a new piece of wood. How many square feet of wood would she purchase? 8ft. ,

lukranit [14]

Answer:

She needs to purchase 50 square feet of wood .

Step-by-step explanation:

we can find the number of square feet of wood needed to purchase by finding the area of the table

The area of the table = area of the triangle + area of the rectangle

Area of the triangle:

Area of the triangle = $\frac{1}{2}(base \times height)$