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Snowcat [4.5K]
2 years ago
9

A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal

Mathematics
1 answer:
Paraphin [41]2 years ago
7 0

Answer:

omg so many Q's

Step-by-step explanation:

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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
3 years ago
Read 2 more answers
He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t
kiruha [24]

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

 

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

<span>flight = 96.17 miles per hr</span>

6 0
3 years ago
I need help on this question​
wel

Answer:

The attachment is black

Step-by-step explanation:

:/

5 0
3 years ago
Help picture below problem 16
kirill115 [55]

Answer:

Regular Hexagon

Step-by-step explanation:

There are six sides and all sides are equal

8 0
2 years ago
Find the sum: -6 + 3
Andrei [34K]

Negative 6 plus positive 3 equals negative three.

3 0
3 years ago
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