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4 years ago

In the triangle below, Four-fifths represents which ratio?

Mathematics

1 answer:

vovangra [49]4 years ago

8 0

Answer:

(A) $sin C =\frac{4}{5}$

Step-by-step explanation:

Opposite,AB = 4,

Hypotenuse,BC = 5

Adjacent, AC = 3.

$sin \theta =\frac{opposite}{Hypotenuse}\\ sin C =\frac{4}{5}$

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Please help me with this

Mashcka [7]

Answer:

5x5 16x6 8x18

Step-by-step explanation:

4 0

4 years ago

Please answer. In parallelogram WXYZ, diagonals WY and XZ intersect at point A. Give WA=x^2-48 and AY=x^2-6x. What is WY? Show y

netineya [11]

The diagonals of a parallelogram are congruent

The length WY is 32

<h3>How to determine the length WY</h3>

Given that:

$WA = x^2 - 48$ and

$AY = x^2 - 6x$

Then, we have:

$x^2 - 48 = x^2 - 6x$ diagonal

Subtract x^2 from both sides

$- 48 =- 6x$

Divide both sides by -6

$x = 8$

The length WY is calculated as:

$WY=2 * WA$

So, we have:

$WY=2 * [x^2 - 48]$

Substitute 8 for x

$WY=2 * [8^2 - 48]$

Simplify

$WY=32$

Hence, the length WY is 32

Read more about parallelograms at:

brainly.com/question/10062747

6 0

3 years ago

Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of the two years Rs.1290 as interest Compound

Natalija [7]

Given info:

Compound Interest = Rs.1290

Rate of Interest = 15% p.a

Time = 2 years

<h3>Formula we have to know:-</h3>

$\dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}$

<u>Where</u>

C.I = Compound Interest

P = Principle

R = Rate of Interest

N = Time

$\textsf{ \underline{Solution-}}\\$

Here

C.I = Rs.1290

R = 15%

N = 2 years

Principle = ?

Now,Calculating the sum (Principle) borrowed by Rachna

$\quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}$

Substituting the given values

$\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}$

$\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}$

$\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}$

$\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}$

$\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}$

$\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}$

$\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}$

$\quad{: \implies{\sf{1290 = P \times {0.3225}}}}$

$\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}$

$\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}$

$\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}$

$\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}$

$\quad{: \implies{\sf{Rs.4000 = P}}}$

$\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}$

$\begin{gathered}\end{gathered}$

<u>Hence,</u>

The sum (Principle) is Rs.4000.

3 0

3 years ago

Find the value of x in the triangle

Fofino [41]

Answer:

x=63

Step-by-step explanation:

55+62+x=180

117+x=180

180-117=63

x=63

4 0

3 years ago

-3(-5)(-4)<br><br> Multiplication and division integers

KATRIN_1 [288]

Answer:

Step-by-step explanation:

-3 - 5 - 4

= -3 + (-5) + (-4)

= -8 + (-4)

= -12

<h3>#Let'slearn</h3>

8 0

3 years ago