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Mars2501 [29]
2 years ago
11

Please help me with this.​

Mathematics
2 answers:
4vir4ik [10]2 years ago
7 0

Answer:

Step-by-step explanation:

Sin(45)=\frac{13}{x}

This must be the correct equation because sin=p/h. Here, perpendicular(p)=13 and hypotenuse(h)=x. So Sin45=13/x is used to find the value.

balandron [24]2 years ago
6 0

Answer:

d)  sin(45°) = 13/x

Step-by-step explanation:

Trig ratios:

sin(x) = O/H

cos(x) = A/H

tan(x) = O/A

where x is the angle, O = opposite side to angle, A = adjacent side to angle, and H = hypotenuse

From inspection, we have been given the measure of the side OPPOSITE to the angle and the measure of the HYPOTENUSE.

angle = 45°

opposite side = 13

hypotenuse = x

Therefore, substitute these values into the sine trig ratio:

⇒ sin(x) = O/H

⇒ sin(45°) = 13/x

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810 stickers.

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Since there are 18 stickers per page, we need to use multiplication to calulate how many stickers we have total.

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Complete the table of values for the equation 9x + 3y = 54.
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A filing cabinet measures 5 feet high 18 inches wide and 2 feet deep. what is the volume of the filing cabinet?
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3 0
2 years ago
A certain bridge arch is in the shape of half an ellipse 106 feet wide and 33.9 feet high. At what horizontal distance from the
nata0808 [166]

Answer:

The horizontal distance from the center is 49.3883 feet

Step-by-step explanation:

The equation of an ellipse is equal to:

\frac{x^2}{a^{2} } +\frac{y^2}{b^{2} } =1

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.

Then, replacing a by 106/2 and b by 33.9, we get:

\frac{x^2}{53^{2} } +\frac{y^2}{33.9^{2} } =1\\\frac{x^2}{2809} +\frac{y^2}{1149.21} =1

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

\frac{x^2}{2809} +\frac{y^2}{1149.21} =1\\\frac{x^2}{2809} +\frac{12.3^2}{1149.21} =1\\\\\frac{x^2}{2809}=1-\frac{12.3^2}{1149.21}\\\\x^{2} =2809(0.8684)\\x=\sqrt{2809(0.8684)}\\x=49.3883

So, the horizontal distance from the center is 49.3883 feet

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