3 years ago

What value of x makes this equation true?

Mathematics

1 answer:

yulyashka [42]3 years ago

7 0

Answer: C

Step-by-step explanation:

1.2x-10=0.2x+14

subtract 0.2x

1.0x-10=14

add 10

x=24

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Proof that :<br><img src="https://tex.z-dn.net/?f=%20%7Bsin%7D%5E%7B2%7D%20%5Ctheta%20%2B%20%20%7Bcos%7D%5E%7B2%7D%20%5C%3A%5Cth

Arisa [49]

Answer:

Solution given:

Right angled triangle ABC is drawn where <C= $\theta$

we know that

$\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}$

$\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC}$

Now

left hand side

$\displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta$

Substituting value

$(\frac{AB}{AC})²+(\frac{BC}{AC})²$

distributing power

$\frac{AB²}{AC²}+\frac{BC²}{AC²}$

Taking L.C.M

$\displaystyle \frac{AB²+BC²}{AC²}$ ....[I]

In ∆ABC By using Pythagoras law we get

$\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}$

AB²+BC²=AC²

Substituting value of AB²+BC² in equation [I]

we get

$\displaystyle \frac{AC²}{AC²}$

Right hand side

<h3><u>proved</u></h3>

8 0

3 years ago

Read 2 more answers

What is the next step for this construction?

mr_godi [17]

what`s the construction about???

put some image so that i can help

3 0

3 years ago

At maturity, a stalk of corn is 76.56 inches tall. It took 2392.5 hours to reach that height. What was the rate of growth per ho

aalyn [17]

76.56 / 2392.5 = 0.032 inches/hr

4 0

3 years ago

If jana drives 6 hours at a speed of 60 miles/hour and 9 hours at a speed of 62 miles/hour, what is her average speed in miles/h

sergejj [24]

Answer:

c) (61.20)

Step-by-step explanation:

6*60=360

9*62=558

6+9=15

360+558=918

918/15=61.2

3 0

4 years ago

Working alone, shayna can harvest a field in 8 hours. John can harvest the same field in 16 hours. How long would it take them i

Alinara [238K]

(1/8)x + (1/16)x = 1
(2/16)x + (1/16)x = 1
(3/16)x = 1
x = 16/3 = 5.33333 hrs

7 0

3 years ago