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Inessa05 [86]
3 years ago
14

Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure

of ∠ACB is determined to be 38.833°. Find the distance between points A and B (to the nearest meter).
Mathematics
1 answer:
nignag [31]3 years ago
8 0

Answer:

= 70 Meters

Step-by-step explanation:

We can use the sine rule as follows:

Angle ABC=180-(70.5+38.833)

=70.667°

Using the sine rule and sides AB, AC and angles ABC and ACB:

b/Sin B=c/Sin C

Replacing with the values above we get:

AC/Sin ABC= AB/Sin ACB

105.6/Sin 70.667=AB/Sin 38.833

AB=(105.6 Sin 38.833)/Sin 70.667

=70.17 meters

The distance between the two points to the nearest meter is 70 meters

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A hackberry tree has roots that reach a depth of
Degger [83]

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is  

(6.4167 +18.28) = 24.6967 meters (Answer)

5 0
3 years ago
Find the mean 3,4,4,2,5,7,2
stich3 [128]
Thats 3.85714285714 because if you add the numbers and divide by the numbers they are it’ll be 3.85714285714
7 0
2 years ago
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!
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Step-by-step explanation:

7 0
2 years ago
a beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your
erastova [34]

Answer:

A beach ball is a sphere, so we will need to know how to find the volume of a

sphere. V = 4Pi * (r ^ 3 / 3)

We have the diameter, but not the radius. To find the radius, it is half of the

diameter.

10÷2=5 Now let's plug it in.

4T(5³/3) Let's solve.

4pi = 12.56

5³= 125

125÷3= 41.67 (repeating 6) 41.67x12.56=523.3752

523.33 cubic inches is the volume of

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5 0
2 years ago
0.8y+0.25= -0.4<br><br> Solve for y
disa [49]

Answer:

y = -13/16

Step-by-step explanation:

<u>Given:</u>

0.8y+0.25= -0.4

<u>To Find:</u>

Solve for y

<u>Solution:</u>

Multiply both sides by 100

0.8y\cdot \:100+0.25\cdot \:100=-0.4\cdot \:100

Simplify

80y+25=-40

Subtract 25 from both sides

80y+25-25=-40-25

Simplify

80y=-65

Divide both sides by 80

\frac{80y}{80}=\frac{-65}{80}

Simplify

y=-\frac{13}{16}

Thus, y = -13/16

or in decimal form it equal y = -0.8125

<u><em>~Lenvy~</em></u>

7 0
2 years ago
Read 2 more answers
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