Ask.
Find the area of quadrilateral ABCD. (Hint: the diagonal divides the quadrilateral into two triangles.]
А
7.84
4.57
3.42
horas
D
4.39
С
A. 14.89 units
B. 11.09 units
C. 17.46 units
D. 18.22 units?
![Ask.Find The Area Of Quadrilateral ABCD. (Hint: The Diagonal Divides The Quadrilateral Into Two Triangles.]7.844.573.42horasD4.39A.](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/GQOOl4Lbl4yd3m2o7fJr5E87h2QOrFGu.png)
Answers
Answer:
[tex]A) 14.89~ units[/tex]
Step-by-step explanation:
[tex]AD=C=3.42~, AC=d=4.57, ~CD=a=4.39[/tex]
[tex]S=\frac{C+d+a}{2} =\frac{3.42+4.57+4.39}{2} =6.19[/tex]
[tex]Using ~ heron's~ formula:[/tex]
[tex]Area~ of ADC~is:[/tex]
⇒ [tex]\sqrt{s(s-c)(s-d)(s-a)}[/tex]
⇒ [tex]\sqrt{6.19(6.19-3.42)(6.19-4.57)(6.19-4.39)}[/tex]
⇒ [tex]\sqrt{6.19*2.77*1.62*1.8}[/tex]
⇒ [tex]\sqrt{49.9986}[/tex] ⇒ [tex]7.071[/tex]
[tex]Area ~of ~ ABD ~is:[/tex]
⇒ [tex]\sqrt{s(s-d)(s-b)(s-a)}[/tex]
⇒ [tex]\sqrt{8.35(8.35-7.84)(8.35-3.42)(8.35-5.44)}[/tex]
⇒ [tex]\sqrt{8.35*0.51*4.93*2.91}[/tex]
⇒ [tex]\sqrt{61.0937}[/tex] ⇒ [tex]7.816[/tex]
[tex]So, Area ~ of ~quadrilateral~ ABCD ~ =[/tex]
[tex]A=Area ~of ~ADC+Area ~ of ABD:[/tex]
[tex]A=7.071+7.816[/tex]
[tex]A=14.89 ~units^2[/tex]
-----------------------
hope it helps...
have a great day!!
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Step-by-step explanation:
I hope it helps
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Answer:
The probability of spinning red is [tex]\frac{1}{3}[/tex], the probability of spinning a 1 is [tex]\frac{1}{6}[/tex], the probability of spinning an odd number is [tex]\frac{1}{2}[/tex], and the probability of spinning a 9 is 0.
Step-by-step explanation:
Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]. Since there are only one 1 tile, the probability of spinning a 1 is [tex]\frac{1}{6}[/tex]. Since there are three odd numbers, the probability of spinning an odd number is [tex]\frac{1}{2}[/tex]. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.