Triangle PDQ has:
Side "p" is opposite Angle P
Side "d" is opposite Angle D = 45º + 23º = 68º
Side "q" is opposite Angle Q
Use the Law of Cosines:
d² = p² + q² − 2 • p • q • cos(D)
d² = (4.24)² + (4.24)² − 2 • (4.24) • (4.24) • cos(68º)
d² = 2(4.24)² − 2(4.24)² • cos(68º)
d² = 2(4.24)² • [ 1 – cos(68º) ]
<span> d = 4.74 ft
</span>Hope this helps
Answer: A.4/25
Step-by-step explanation:
Number of trials that were performed = 50
Number of times a blue balloon was chosen = 22
Number of times a yellow balloon was chosen = 7
Number of times an orange balloon was chosen = 8
Number of times a purple balloon was chosen = 13
The estimated probability of choosing an orange balloon from the bag will be the number of times that an orange balloon was chosen divided by the total number of trials. This will be:
= 8/50
= 4/25
Are you even in middle school or high school?lol
The surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
<h3>Calculating surface area</h3>
From the question, we are to calculate the surface area of the rectangular prism
Surface area of a rectangular prism can be calculated by using the formula,
Surface area = 2(lw + lh + wh)
Where l is the length
w is the width
and h is the height
In the given diagram,
l = 21.5 mm
w = 4 mm
h = 5 mm
Putting the parameters into the equation, we get
Surface area = 2(21.5×4 + 21.5×5 + 4×5)
Surface area = 2(86 + 107.5 + 20)
Surface area = 2 × 213.5
Surface area = 427 mm²
Hence, the surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
Learn more on Surface area here: brainly.com/question/1310421
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21 customers because add 21+21 and u get 42
