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3 years ago

A racquetball club membership costs $22.50 per month. What would a year’s membership cost?

Mathematics

2 answers:

dsp733 years ago

8 0

Answer:

270 dollars for a year, so 22.50 times 12

Volgvan3 years ago

7 0

Answer: $250

22.50 x 12 = $250

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Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago

What is the definition of "constant of proportionality"? Define or show an expression to prove your answer

Feliz [49]

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

(G o o g l e)

Step-by-step explanation:

I hope this helps!

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3 years ago

Can someone please help me with this question ?

____ [38]

The cost of water would be $615 as he needs 3 acre-feet of water for 205 acre/ft

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3 years ago

8x + 8 = 180 help me please

Alex_Xolod [135]

Answer:

Step-by-step explanation:

8x=180-8

8x=172

8x/8=172/8

x=21.5

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3 years ago

Read 2 more answers

-6+14 =12-8x what is x

navik [9.2K]

8=12-8x
-4=8x
-4÷8=8x÷8
-0.5=x

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3 years ago