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2 years ago

I need help on this please

Mathematics

2 answers:

tatiyna2 years ago

8 0

Answer:

Step-by-step explanation:

The horizontal line BD is a straight line bisected by the vertical line. Since it is a straight line, the two angles ACB and ACD must add up to 180.

So angle ACB is 180 - 98 = 82

iren [92.7K]2 years ago

6 0

Answer:

m∠ACB = 82°

Step-by-step explanation:

m∠ACB = 180° - m∠ACD

∠ACB and ∠ACD are supplementary, which add up to 180°

m∠ACB = 180° - 98°

m∠ACB = 82°

-Chetan K

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2 years ago

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2 years ago

A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find

scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, $O(0,0)$ in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

$x^2=4ay\;\cdots(i)$

where $a$ is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is $A(83, -40)$ and $B(-83, -40).$

There is only one constant in the equation of the parabola, so, use either of one point to find the value of $a$ .

Putting $A(83,-40)$ in the equation (i) we have

$83^2=4a(-40)$

$\Rightarrow a=-43.05625$

So, on putting the value of $a$ in the equation (i), the equation of bridge is

$x^2=-172.225y$

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, $x=\pm 10$ feet, put this value in equation (i) to get the value of y.