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2 years ago

36/c=45/10 please help me

Mathematics

1 answer:

Lelechka [254]2 years ago

5 0

Answer:

c = 8

Step-by-step explanation:

36/c = 45/10

36 * 10 = 45 * c

360 = 45c

c = 360/45

c = 8

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Find the exact value of the given expression. sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

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3 years ago

What is the exponential expression 24^1/3

guapka [62]

Answer:

2.884499

Step-by-step explanation:

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2 years ago

Help help help math math math

pogonyaev

Answer:

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Step-by-step explanation:

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2 years ago

leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a

Georgia [21]

The answer is $x = \frac{-7+ \sqrt{193} }{4}$ .

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is $A = \frac{a*h}{2}$ , where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula $A = \frac{a*h}{2}$ :
$36 = \frac{(2x+3)(3x+6)}{2}$
⇒ $36*2=6 x^{2} +12x+9x+18$
$72=6 x^{2} +21x+18$

Let's both sides divide by 3:
$24=2 x^{2} +7x+6$
⇒ $2 x^{2} +7x-18=0$

This is the quadratic formula ( $a x^{2} +bx+c=0$ ) for which
$x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ or
 $x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}$ .
We will use only $x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ , because the length cannot have negative value.

From the equation $2 x^{2} +7x-18=0$ , we know that
a = 2
b = 7
c = -18

Thus, $x = \frac{-7+ \sqrt{193} }{4}$ :
 $x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}$

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3 years ago

20% of a is 11. what is a?

Oksana_A [137]

Answer:

a=55

Step-by-step explanation:

20%/100=0.2

a=11/0.2

a=55

5 0

3 years ago