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sladkih [1.3K]
3 years ago
5

5

Mathematics
1 answer:
Gwar [14]3 years ago
3 0

Answer:

a) the angle ABC is approximately 106 degrees b) 24

Step-by-step explanation:

1) Using the law of cos

AC*AC= AB*AB+BC*BC-2*AB*BC*cosB

8*8= 5*5+5*5-2*5*5*cosB

64= 50- 50c0sB

cosB= 14/(-50)= -7/25.

B= arccosB= arccos(-7/25)= 106degrees.

2) sinB*sinB= 1- CosB*cosB= 1-49/625= 576/625

sinB= 24/25 (SinB doesn't equal -24/25, because B is between 0 and 180 degrress, so sin B is positive)

3) S= AB*BC*sinB= 5*5*24/25= 24 (area of the rhombus is 24)

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We can set up 2 equations given the information.
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Solve for A in the first equation by subtracting S on both sides.
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Now substitute 50 - S for A in the second equation.

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6 0
3 years ago
Find the diameter of each circle.
Vedmedyk [2.9K]

Answer:

<em>Diameter Length: ( About ) 5.4 km; Option B</em>

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

<em>radius = ( About ) 2.7</em>

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

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5 0
3 years ago
Help! I’ll give extra points:)
Fofino [41]

Answer:

if I'm not wrong I think it's B

3 0
2 years ago
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dedylja [7]

Answer:

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Step-by-step explanation:

Examining the response options:

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5 0
3 years ago
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