Answer:
20.5 , 30.4 , 5.3
Step-by-step explanation:
SOHCAHTOA
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
tanθ = opposite / adjacent
10. tan64° = 42 / x ; x = 42 / tan64° ; x = 20.48476872
12. sin54° = BD / 20 ; BD = 20 * sin54° ; BD = 16.18033989 ;
tan28° = BD / DC ; DC = BD / tan28° ; DC = 30.43079344
13. tan51° = JL / 14 ; JL = 14 * tan51° ; JL = 17.28856019 ;
cos72° = KL / JL ; KL = JL * cos72° ; KL = 5.342458907
First we need to find the length and width of the rectangle.
As seen from the graph, the length is 4 units and the width of rectangle is 3 units. The triangle ABD is a Right Angled Triangle with side BD as the diagonal. BD is also the hypotenuse of the Right Angled Triangle, so we can find its length using the Pythagorean Theorem.
Using the theorem we can write:
Therefore, the diagonal of the rectangle will be 5 units long.So, the answer is option C
You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:


But since we're given
, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Answer:
I can but where are the questions
Percentage of students with GPA between 1.5 and 3.5 is 75% and Percentage of students that don't belong to freshmen is 73.9%.
<h3>How to Calculate the Percentage?</h3>
1) Total number of households with computer = 111,804
Percentage of Cincinnati households with computer = 82.1%
Thus;
Number of Cincinnati households with computer = 82.1% * 111804 ≈ 91791
2) Total number of students = 854
Percentage of students with GPA between 1.5 and 3.5 = 100 - (11 + 14) = 75%
3) Total number of students = 854
Number of freshmen = 223
Thus;
Percentage of students that don't belong to freshmen = 1 - (223/854) = 1 - 0.2611 = 0.7389 ≈ 73.9%
4) We are given;
17% of the 198 seniors are on Academic Watch
10% of 223 freshmen are on Academic watch
Thus;
a) seniors on academic watch = 17% * 198 ≈ 34
b) freshmen on academic watch = 10% * 223 ≈ 22
c) Number of more seniors that freshmen on academic watch = 34 - 22 = 12
Read more about Percentage at; brainly.com/question/843074
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