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SSSSS [86.1K]
3 years ago
5

Please help !! Geometry homework. Will mark brainliest answer !

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0

For this case we have:


By trigonometric property we have:


Cosine(\alpha)=\frac{AdjacentLeg}{Hypotenuse}

Where:


Adjacent Leg = 12\\Hypotenuse = 13\\\alpha= x

Substituting:


Cosine(x)=\frac{12}{13}

Clearing x we have:


x =Cosine^{-1}(\frac{12}{13})

Thus, the equation is: x =Cosine^{-1}(\frac{12}{13})

Answer:


x =Cosine^{-1}(\frac{12}{13})


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Anastasy [175]

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Explanation:

The problem statement tells you the meaning of t. It is minutes after Riko leaves. 0 ≤ t < 52.5 is the answer to the question regarding the interval Riko is behind Yuto. It means Riko is behind Yuto for 52.5 minutes after she leaves their house.

t will not be negative because time moves forward. Here, we're only counting time <em>after Riko leaves the house</em>. A negative value for t would refer to a time before Riko leaves the house, which is irrelevant in this problem.*

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* One might argue that Riko is behind Yuto for all values of time <em>after Yuto leaves the house</em>, which would be for -21 < t < 52.5. The concept of "behind Yuto" has no meaning except in that interval.

6 0
3 years ago
Read 2 more answers
at a concession stand 9 slices of pizza and 5 soft pretzels cost $33.25. If 4 slices of pizza and 6 soft pretzels cost $19.50. W
jok3333 [9.3K]

Answer:

The cost of soft pretzel is $1.25

Step-by-step explanation:

Let $x be the price of one slice of pizza and $y be the price of one soft pretzel.

1. 9 slices of pizza cost $9x and 5 soft pretzels cost $5y. Together they cost $33.25, then

9x+5y=33.25.

2. 4 slices of pizza cost $4x and 6 soft pretzels cost $6y. Together they cost $19.50, then

4x+6y=19.50.

3. Solve the system of two equations:

\left\{\begin{array}{l}9x+5y=33.25\\4x+6y=19.50\end{array}\right..

Multiplythe first equation by 4, the second equation by 9 and subtract them:

4(9x+5y)-9(4x+6y)=4\cdot 33.25-9\cdot 19.50,\\ \\36x+20y-35x-54y=133-175.5,\\ \\-34y=-42.5,\\ \\y=\$1.25.

Then

4x+6\cdot 1.25=19.50,\\ \\4x=19.50-7.50,\\ \\4x=12,\\ \\x=\$3.

6 0
4 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

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Evaluate the expression XY FOR X=8 and Y=4
vovangra [49]

Answer:

32

Step-by-step explanation:

XY means x times y

and x = 8 or x is 8

and y = 4 or y is 4

so 4 times 8 is 32

so

XY = 32

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