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2 years ago

HELP PLEASE! I PUT AN IMAGE BELOW! PLEASE HELP!

Mathematics

1 answer:

Allisa [31]2 years ago

8 0

$\begin{array}{lcccl} &\stackrel{lbs}{Qty}&\stackrel{\$}{price}&\stackrel{total}{value}\\ \cline{2-4}&\\ \textit{1st candy}&x&0.9&0.9x\\ \textit{2nd candy}&y&0.4&0.4y\\ \cline{1-4} mix&50&0.85&42.5 \end{array}\qquad \qquad \begin{cases} x+y=50\\\\ 0.9x+0.4y=42.5 \end{cases} \\\\[-0.35em] ~\dotfill$ $\stackrel{\textit{using the 1st equation}}{x+y=50\implies y=50-x}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{0.9x~~ + ~~0.4(50-x)~~ = ~~42.5} \\\\\\ 0.9x+20-0.4x=42.5\implies 0.5x+20=42.5\implies 0.5x=22.5 \\\\\\ x=\cfrac{22.5}{0.5}\implies \boxed{x=45}\qquad \qquad \qquad \boxed{\stackrel{50~~ - ~~45}{y=5}}$

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TRIG HW; find missing side by using trignometry

arlik [135]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the above is really helpful if you don't have a brain. :P

for 7 we only need Pythagoras's theorem, know it?

$c^{2}$ = $a^{2}$ + $b^{2}$

out of curiosity.. does the above formula seem "impossible" ? or does it make sense?

$c^{2}$ = $12^{2}$ + $16^{2}$

$c^{2}$ = 144 + 256

$c^{2}$ = 400

c = $\sqrt{400}$

c = 20

x= 20

for 8 we do need the above list of trig functions. we want to find the Hyp x and we know an angle and the adjacent side sooo use Cos .. b/c we can see it's got those parts in it

Cos(60) = 18 / x

I'll show you the algebra we need to use to get this formula so that we can find x

A = B / x ( this is how it looks above )

x = B / A , now just put in the parts

x = 18 / Cos(60) now solve it w/ your calculator.. :P Cos(60) happens to be 1/2 so you could have done this w/o your calculator :/

x = 36

there you go, :)

8 0

3 years ago

How would I prove the congruency of these triangles?

Andre45 [30]

Answer:

SAS

Step-by-step explanation:

line AB = line CD S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

3 0

3 years ago

Read 2 more answers

the gray whale can spend up to 30 minutes underwater. How many times will the whale need to come up for air during a 6hr period

Vinvika [58]

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ The gray whale will need to come up 12 times during the 6 hr period.

Convert 6 hrs to mins:

1 hr = 60 mins

60 x 6 = 360 mins

Divide by 30 to see how many times the whale will need to come up:

360/30 = 12

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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3 years ago

Answer using steps: An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone. The 3 flavors are

xeze [42]

Step-by-step explanation:

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3 years ago

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Tamiku [17]

Step-by-step explanation:

(a-4) (a-5) = a^2 - 9a + 20

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3 years ago