A 50 ft tall tree is casting a shadow while the sun is at an angle of elevation of 63 . to the nearest foot, how long is the tree's shadow?
Answers
Remark
The question is an application of the Tangent Function.
Tan(63) = Opposite / Adjacent
Givens
Opposite side = height of the tree = 50 feet.
Adjacent side = shadow length which we have to solve for.
Solution
Tan(63) = opposite/ Adjacent Add a 1 on the left so you have a proportion.
Tan(63)/ 1 = 60 / adjacent Cross multiply
Adjacent * Tan(63) = 1 * 60
Adjacent = 60 / tan(63)
Adjacent = 60 / 1.963
Adjacent = 30.57 feet.
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I will mark brainliest i need help quick
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The student has an average of 76 on his first 5 quizzes. Remember that average is also known as mean. Mean is calculated by adding the values in a data set and dividing it by the amount of numbers you added.
In this case,the mean is 76. That means five numbers were added and divided by 5 and the quotient was 76.
You can find the dividend by cross multiplying.
The total points he got on his first 5 quizzes was 380.
If he wants to boost his average grade up to an 8 after taking another 5 quizzes, you need to multiply his average goal by the amount of quizzes, which is 10(5+5=10).
His total points after taking all his quizzes(that is, if he reached his goal) should be 800. Because he already took 5 quizzes and got a total score of 380, you're going to subtract 380 from 800 and divide it by the remaining quizzes left, which is 5.
First subtract 380 from 800:
That means his next 5 quizzes need to sum up to a total of 420 points. Since you're trying to find the average of his next 5 quizzes in order to average up to an 80, you need to divide 420 by 5(number of remaining quizzes).
Divide:
Your answer is 84(84%).
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Did you know that there are more stars than grains of sand on any beach? This is true and is really interesting.
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The set representing the evaluation of the function d(m) for m ∈ {0, 1, 2, 3} is {7, 5, 3, 1}.
What is the set of the evaluation?
To evaluate the function d(m) = 7 - 2m for different values of m, we simply need to substitute each value of m from the given set {0, 1, 2, 3} into the function and compute the corresponding d(m) values.
Let's calculate d(m) for each value of m:
For m = 0:
d(0) = 7 - 2(0) = 7
For m = 1:
d(1) = 7 - 2(1)= 7 - 2 = 5
For m = 2:
d(2) = 7 - 2(2) = 7 - 4 = 3
For m = 3:
d(3) = 7 - 2(3) = 7 - 6 = 1
So the set representing the evaluation of the function d(m) for m ∈ {0, 1, 2, 3} is {7, 5, 3, 1}.
Learn more about set of function here: brainly.com/question/29631554
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Answer:
do u have a pic or something
Simplify the product using FOIL. (2x – 7)(5x + 5)
Answers
Answer: 10x - 25x - 35
Step-by-step explanation:
F 2x times 5x = 10x
O 2x times 5 = 10x
I -7 times 5x = -35x
L -7 times 5 = -35
Hope This Helps :)
Answer:
10x^2-25x-35
Explained:
(2x)(5x)=10x^2
(-7)(5)=-35
(-7)(5x)=-35x
(2x)(5)=10x
10x-35x=-25x
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Now, which is bigger? 13/100 or 3/25
Cross multiply and 13/100 is bigger.
13 3
___ X ____
100 25
13×25=325 and 3×100=300. Now you know 13/100 is bigger.
The answer is 13/100