A student brings whole cherry and cheese danishes to his class for his birthday. The number of cherry danishes he brings is at l
1 answer:
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Answer:
80 units.
Step-by-step explanation:
The rectangle ABCD is drawn and attached in the image below. The diagonal BD measures 100 units, the side BC measures 60 units. We need to find the measure of side DC which is represented by x in the figure.
Note that a Right Angled Triangle DCB is being formed with BD as the hypotenuse and sides BC and DC as its two legs. The Pythagoras Theorem relates the length of hypotenuse and the two legs of the Right Angled Triangle as:
c is the length of hypotenuse = 100
a is the length of one leg = 60
b is the length of second leg = x
Using these values, we get:
Therefore, measure of the side DC is 80 units
For question 4,
Question 5. Option a and question 6. Option j
Step-by-step explanation:
Step 1:
The three basic formula needed to solve these questions are:
Step 2:
Using the above formula, we solve the following values
Step 3:
For question 5, The triangle's angle = 23°, opposite side = BC inches and hypotenuse = 4 inches.
SO BC is 1.5628 inches, rounding this off to the nearest tenth, we get BC = 1.6 inches which is option a.
Step 4:
For question 6, The triangle's angle = 50°, opposite side = QR m the adjacent side = 8.1 m.
SO QR is 9.65277 meters, rounding this off to the nearest tenth, we get QR = 9.7 inches which is option j.