Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
Answer:
Volume: 112 m³.
Surface area: 172 m².
Step-by-step explanation:
The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.
The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.
2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².
Hope this helps!
Answer:
a. €1200;$1667.70
Step-by-step explanation:
a. Number of euros
b. Dollars remaining
Dollars on hand = $1962.00
Less 15 % spent = 0.15 × 1962 = <u> -294.30</u>
Balance remaining = $1667.70
Answer:
300 Square feet
Step-by-step explanation:
Susan built a rectangular fence around her swimming pool.
Length=15ft
Width(or Breadth)=10ft
Height=6ft
To solve this, picture a cuboid with the top and bottom open, that is the key to finding the Surface Area of the Fence.
Surface Area of a Cuboid= 2(LW+LH+WH)
However since the top and bottom are open, the Surface Area becomes
Surface Area of the fence= 2(LW+WH)
=2((15X6)+(10X6)
=2(90+60)=2 X 150 =300
Susan uses 300 Square feet to build her fence.
(125 km) x (1mile / 1.609344 km) = <em>77.6714 miles</em> (rounded)
