Answer:
Step-by-step explanation:
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Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = ≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
= = ( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = ≈ 18.7 cm ( to 1 dec. place )
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
1/4
Step-by-step explanation:
First - Convert all fraction with the Greatest Common Factor of 12
12 1/2 = 150/12
4 1/4 = 51/12
2 2/3 = 96/12
Second - Subtract the patio wood and the total
150/12 - 51/12 - 96/12 = 3/12
Third - Simplify 3/12 to 1/4
1/4 of the total wood is left to build the frame of the birdhouse.
Check the picture below
bear in mind that, the angle is in degrees, thus, when getting the sine, make sure your calculator is in Degree mode