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3 years ago

What is the solution of the equation?

Mathematics

1 answer:

nadya68 [22]3 years ago

8 0

Answer:

q = 4

Fully simplifying this equation gives you answer (A) q = 4

Hope this helps!

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A ball is dropped from a height of 14 ft. The elasticity of the ball is such that it always bounces up one-third the distance it

Korvikt [17]

Answer:

Hello,

742/27 (ft)

Step-by-step explanation:

$h_1=14\\\\h_2=\dfrac{14}{3} \\\\h_3=\dfrac{14}{9} \\\\h_4=\dfrac{14}{27} \\\\$

$d=14+2*\dfrac{14}{3} +2*\dfrac{14}{9} +2*\dfrac{14}{27} \\=14*(1+\dfrac{1}{3}+\dfrac{2}{9} +\dfrac{2}{27} )\\=14*\dfrac{53}{27} \\=\dfrac{742}{27} \\$

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3 years ago

Jan wants to build a circular pond in his backyard. On the blueprint, the diameter of the pond is 15.5 in. The blueprint has a s

cestrela7 [59]

Answer:

Step-by-step explanation:

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3 years ago

Simplify the expression csc(-x)/1+tan^2x)

Charra [1.4K]

Assuming ya meant $\frac{csc(-x)}{1+tan^2(x)}$

to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos

for the pythaogreaon identity
$cos^2(x)+sin^2(x)=1$
divide both sides by $cos^2(x)$
$1+tan^2(x)=sec^2(x)$ since $\frac{sin(x)}{cos(x)}=tan(x)$
subsitute
$\frac{csc(x)}{sec^2(x)}$

recall that $csc(x)=\frac{1}{cos(x)}$
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore $csc(-x)=\frac{1}{cos(-x)}=\frac{1}{cos(x)}=csc(x)$
so we get

$\frac{csc(x)}{sec^2(x)}$
decompose them into $\frac{1}{cos(x)}$ and $\frac{1}{sin^2(x)}$ to get $\frac{\frac{1}{cos(x)}}{\frac{1}{sin^2(x)}}$
multiply by $\frac{sin^2(x)}{sin^2(x)}$ to get
$\frac{sin^2(x)}{cos(x)}$
we can furthur simlify to get
$(\frac{sin(x)}{cos(x)})(sin(x))=tan(x)sin(x)$
the expression simplifies to tan(x)sin(x)

5 0

3 years ago

Read 2 more answers

AGAIN BRAINLIESTTT IM SORRY JUST HELPP<br><br> What is the square root of 10?

Paul [167]

Answer:

the square root of 10 is 3.16

3 0

2 years ago

Read 2 more answers

Which of the following is the quotient of the rational expressions shown here?

alisha [4.7K]

Answer:

x^2 /(x^2 -36)

Step-by-step explanation:

x/(x-6) ÷ (x+6) /x

Copy dot flip

x/(x-6) * x/(x+6)

x^2/ ( x-6)(x+6)

This is the difference of squares( a-b)(a+b) = a^2 -b^2

x^2 /(x^2 -36)

7 0

3 years ago