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taurus [48]
3 years ago
10

What is the square root of 49/900

Mathematics
1 answer:
Radda [10]3 years ago
6 0
0.00777777777 I think
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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

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2 years ago
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Given g(x)=4-2(3-x), what is the value of g(1)​
avanturin [10]

Answer:

g(1) = 0

Step-by-step explanation:

To evaluate g(1) , substitute x = 1 into g(x), that is

g(1) = 4 - 2(3 - 1)

      = 4 - 2(2)

      = 4 - 4

      = 0

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The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid?
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Answer:

Step-by-step explanation:

Its about 42.67

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20 (p-3) is the anwser
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