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4 years ago

Find the Value of x in the problem

Mathematics

1 answer:

UNO [17]4 years ago

4 0

That is 90 degrees, and 5 times 18 = 90, so x = 18

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What is the area of triangle RST?

Paraphin [41]

<u>Answer-</u>

$\boxed{\boxed{\text{Area}_{RTS}=9\ unit^2}}$

<u>Solution-</u>

We know that,

$\text{Area}=\dfrac{1}{2}\times\text{Base}\times \text{Height}$

From the diagram,

RS is the base and UT is the height of the triangle.

Applying distance formula,

$RS=\sqrt{(3+3)^2+(2-2)^2}=\sqrt{(6)^2}=6$

$UT=\sqrt{(-1+1)^2+(2+1)^2}=\sqrt{(3)^2}=3$

Putting the values,

$\text{Area}_{RTS}=\dfrac{1}{2}\times6\times3=9\ unit^2$

7 0

4 years ago

Read 2 more answers

A car is purchased for $28,000. After each year, the resale value decreases by

Dennis_Churaev [7]

$\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &28000\\
r=rate\to 35\%\to \frac{35}{100}\to &0.35\\
t=\textit{elapsed time}\to &3\\
\end{cases}
\\\\\\
A=28000(1-0.35)^3\implies A=28000(0.65)^3\implies A=7689.5
\\\\\\
\textit{which rounds up to }7689$

8 0

3 years ago

What percent of (4n) is 96

AveGali [126]

N x 4 = 96
96/4=24
n=24

4 0

3 years ago

For each of the following pairs of numbers, find the gcd of the two numbers, and express the gcd as a linear combination of the

Oksana_A [137]

Answer:

a. 14 and 14= (-1)56+1(44)

b. 3 and 3= (-4)60+3(81)

Step-by-step explanation:

Case 1: GCD is the highest common divisor for both numbers without reminder

a. GCD of 56 and 42 = 14

b GCD of 81 and 60 = 3

Case 2: Express GCD as a Linear combination.

a. GCD = 14 which is also the difference between 56 and 42

Therefore

14= (-1)56+1(44) expresses 14 as a linear combination of 56 and 44.

b. GCD=3, we need to look for a multiple of 60 and 81 that their differences would be 3

Therefore the multiples are:

For 60 = 240 (60×4)

For 81 = 243 (81×3)

3= (-4)60+3(81) expresses 3 as a linear combination of 81 and 60

4 0

3 years ago

Can someone explain to me I don’t understand it!thank you

Elis [28]

Since the person had $408.98 to begin with and took away/withdrawal ($178.67+$100=$278.67) $278.67 and then added/deposited $214.87....
$408.98-$278.67+$214.87=$345.18

5 0

3 years ago