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worty [1.4K]
3 years ago
8

I need to check my answer

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0
66/7.50 = 8.80 answer
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If 0°<0<90° and sin0=12/13, find cos0 using trigonometric identities.
Aleks04 [339]

here's the solution,

we know :

\sin( \theta)  =  \dfrac{perpendicular}{hypotenuse}

So,

\dfrac{p}{h}  =  \dfrac{12}{13}

so.. let the perpendicular be 12x and hypotenuse be 13x

now,

by applying pythagoras theorem,

  • b {}^{2}  = h {}^{2}  - p {}^{2}

where,

  • b = base
  • h = hypotenuse
  • p = perpendicular

So,

  • b {}^{2}  =  ({13x})^{2}  -  ({12x})^{2}
  • b  {}^{2} = 169x {}^{2}  - 144x {}^{2}
  • {b}^{2}  = 25x {}^{2}
  • b  = 5x

so,

  • \cos( \theta)  =  \dfrac{b}{h}

  • \cos( \theta)  =   \dfrac{5x}{13x}

  • \cos( \theta)  =  \dfrac{5}{13}

hope it helps !!

3 0
3 years ago
MArsha joged 7.8 miles. Erica jogged 0.5 tyimes as far . HOw far did erica jogged
tangare [24]

you would do 7.8 times 0.5 and would get 3.9. You would add 7.8 and 3.9 and get 11.7 That is your answer

 

3 0
4 years ago
How am I supposed to answer this question if it doesn't tell me how many gallons the energy-saving showerhead uses compared to t
Gre4nikov [31]

Answer:

A, or 16 gallons

Step-by-step explanation:

First, you have to analyze what the function means. It tells you that x is the number of minutes in the shower, so now we have y=3(minutes in shower). Logically, 3 has to be gallons per minute so that the equation makes sense, since you're multiplying 3 by minutes in the shower. It also uses the same phrasing in the beginning of the problem when it says "A standard shower head in Jen's house dispenses 5 gallons of water per minute." Now, it's 3 gallons of water per minute (x). That means y has to be overall gallons. So, now the equations is overall gallons=3 gallons per minute. If she uses the shower for 8 minutes we can plug in for x. So now the equation is overall gallons=3 gallons times 8 minutes, or overall gallons=24 gallons. With the new shower head, 24 gallons is used. Now to find for the old shower head. 5 gallons per minute times 8 minutes = 40 gallons. Now we subtract to find out how many gallons Jen saves each day. 40-24=16. She saves 16 gallons.

6 0
3 years ago
Answer the following about estimating 502/8 .
djyliett [7]
(a) The first answer is “A” because 480 / 8 is = 60

(b) a the answer is also “A” because 502 / 8 = 62.5, so it is a underestimate
5 0
2 years ago
Read 2 more answers
At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $38. Tori bought three pairs of gloves and five
igor_vitrenko [27]

Answer: The price for the gloves were $5 each and the price of the hats were $7 each.

Step-by-step explanation:

2g + 4h = 38    solve by elimination

3g  + 5h = 50

-3(2g + 4h) = 38(-3)           -6g -12h=  -114

2 (3g + 5h)= 50(2)                 6g + 10h =100

                                             0 + -2h= -14

                                                      h= 7

-6g -12(7)=-114

-6g -84 = -114

      + 84    +84

-6g =-30

g= 5

7 0
3 years ago
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