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brilliants [131]
2 years ago
14

How do u do this question step by step​

Mathematics
1 answer:
Nutka1998 [239]2 years ago
6 0

Answer:

CRT = 18

TRV = 72

V = 18  

see attachment

Step-by-step explanation:

CRT = 90 - C = 90 - 72 = 18

TRV = 90 - CRT = 90 - 18 = 72

V = 90 - C = 90 - 72 = 18  

RTC =TUS = SXW

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What two numbers are located 5/8 of a unit from 1/6 on a number line
velikii [3]
Step 1
Find the common denominator.
5/8  and 1/6---------> would be  2³*3----> 24

step 2
multiply (5/8) by (3/3)  and (1/6) by (4/4)
5/8-----> 15/24
1/6-----> 4/24

step 3
find the numbers
4/24+15/24------> 19/24
4/24-15/24-------> -11/24

the answer is
the two numbers are
19/24 and -11/24

see the attached figure

5 0
3 years ago
Find dy/dx if y =x^3+5x+2/x²-1
stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

\qquad\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\

According to the given question, we have –

  • f(x) = x^3+5x+2
  • g(x) = x^2-1

Let's solve it!

\qquad\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2)  \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5)  -  ( x^3+5x+2) 2x}{(x^2-1)^2 }\\

\qquad\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\

\qquad\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\

\qquad\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\

\qquad\pink{\therefore  \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}}  =  \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\

7 0
2 years ago
How many revolutions will a car wheel of diameter 22 in. make as the car travels a distance of one mile
Marianna [84]

It would be take upto 999 revolutions.

<em>Let try to solve it,</em>

Let n represent number of revolutions.

We are asked to find the number of revolutions it will take for a car wheel of diameter 30 in. to travel a distance of one mile.

1 mile = 63360 inches.

We will use circumference of circle formula to solve our given problem.

Circumference = pi*d , where, D represents diameter of circle.

Now, we will set the product of n and circumference of circle equal to 63360 inches as:

pi*22*n= 63360

n= 63360*7/ 22*22

n= 443520/444

n= 998.91

Therefore It would be take upto 999 revolutions.

Learn more about Circumference of circle on:

brainly.com/question/18571680

#SPJ4

8 0
1 year ago
Which is equivalent to 2564?<br> O4<br> o 12<br> o 64<br> O 192
Lisa [10]

Answer:

64

Step-by-step explanation:

256^3/4 =( 4^4)^3/4=4^3=64

4 0
3 years ago
Solve the equation.<br> (10x + 5) + (6x − 1) = 180<br><br> A. 9<br> B. 11<br> C. 17<br> D. 23
cluponka [151]
(10x+5) + (6x-1)=180
10x+5+6x-1=180
16x+4=180
16x+4=180
16x=180-4
16x=178
x=11
3 0
3 years ago
Read 2 more answers
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