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Viefleur [7K]
3 years ago
11

Item 5 A spotlight on the ground shines a beam of light to the top of a tree that is 12 m tall. The beam of light makes an angle

of 40° with the ground. What is the distance from the spotlight to the base of the tree, rounded to the nearest meter? 10 m 14 m 16 m 19 m PreviousFinish

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

14 m

Step-by-step explanation:

We are given that

Height of tree=AB=12 m

\theta=40^{\circ}

We have to find the distance from the spotlight to the base of the tree.

We know that

tan\theta=\frac{perpendicular\;side}{base}

\frac{AB}{BC}=tan40

\frac{12}{BC}=tan40

BC=\frac{12}{tan40}=14.3\approx 14

Hence, the distance from the spotlight to the base of the tree=14 m

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Bezzdna [24]

Answer:

9 11/12

Step-by-step explanation:

Solve 7 2/3-1 2/4+3 6/8

We are to the above fractions

7 2/3 - 1 2/4 + 3 6/8

The Lowest Common Denominator = 24

(7 - 1 + 3) + ( 2/3 - 2/4 + 6/8)

9 + (16 - 12 + 18/24)

9 + 22/24

9 11/12

8 0
3 years ago
In order to select ne board members the french club heald a election 3 members voted in the election. And 7 did not vote what pe
igor_vitrenko [27]

Answer:

30% members have voted.

Step-by-step explanation:

Given:

Number of members voted = 3

Number of members didn't vote = 7

We need to find what percentage of people voted.

Solution:

First we will find the total number of members in the election.

Now we can say that;

The total number of members in the election is equal to sum of Number of members voted and Number of members didn't vote.

framing in equation form we get;

The total number of members in the election = 7+3=10

Now we will find the percentage of people voted.

So we can say that;

Percentage of members voted can be calculated by dividing Number of members voted from The total number of members in the election and then multiplying by 100 we get;

Percentage of members voted = \frac{3}{10}\times100 = 30\%

Hence 30% members have voted.

8 0
3 years ago
The Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 2
jek_recluse [69]

Answer:

At the 0.05 level of significance,  the claim made by Blue Diamond is true

Step-by-step explanation:

Given that the Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts.

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Chi square is calculated as (Obs_exp)^2/Expected

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sergiy2304 [10]

Answer:

= 24.5

Step-by-step explanation:

1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5

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Answer:

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Step-by-step explanation:

8 0
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