The height of this pyramid will be:
√(26^2 - (48/2)^2) = 10cm
So the volume is: V = 1/3 * 48^2 * 10 = 7680 cm^3
Answer:
A = 90°
B = 37°
C = 53°
Step-by-step explanation:
Given three sides of a triangle, the Law of Cosines can be used to find the angles.
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For angle A (the largest), we can use ...
a² = b² +c² -2bc·cos(A)
Solving for A, we get ...
A = arccos((b² +c² -a²)/(2bc)) = arccos((3² +4² -5²)/(2·3·4)) = arccos(0)
A = 90°
We can use a similar equation for angle B:
B = arccos((a² +c² -b²)/(2ac)) = arccos((25 +16 -9)/(2·5.4)) = arccos(4/5)
B ≈ 37°
The sum of angles is 180°, so ...
C = 180° -90° -37°
C = 53°
Answer: You will receive $ 325.5 as interest at the end of 7 years.
Step-by-step explanation:
Given: Principal amount = $750
Rate of interest = 6.2% = 0.062
Time = 7 years
Interest = Principal x Rate x Time
Inetrest = 750 x 0.062 x 7
= $ 325.5
Hence, you will receive $ 325.5 as interest at the end of 7 years.
Answer:
272 cm
Step-by-step explanation:
In order to calculate surface area, you need to find each individual rectangle. Four sides of the rectangle will be your length times height, so 14*4 or 56 cm. As for the other two sides, they would be height times width, so 4*6 or 24 cm. The four sides would add up to 224 cm and the other two would be 48 total. When you add all six sides together, you get 272 cm.
