Answer:
n = -14
Step-by-step explanation:
-3(n+9)=15
Distribute -3 to (n+9):
-3n - 27 = 15
Add 27 to both sides:
-3n = 42
Divide both sides by -3:
n = -14
Answer:
a. 96 square units
Step-by-step explanation:
The figure is a rectangle with width AB = (20-12) = 8 units and height BC = (20-8) = 12 units.
The area of the rectangle is (8 units)×(12 units) = 96 square units.
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:
Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Answer:
1256000
Step-by-step explanation:
My example:
Find the radius of the sphere by substituting 4.5? ft^3 for V in the formula in Step 1 to get: V=4.5? cubic feet.= (4/3)?(r^3)
Multiply each side of the equation by 3 and the equation becomes: 13.5 ? cubic feet =4?(r^3)
Divide both sides of the equation by 4? in Step 4 to solve for the radius of the sphere. To get: (13.5? cubic feet)/(4?) =(4? )(r^3)/ (4?), which then becomes: 3.38 cubic feet= (r^3)
Use the calculator to find the cubic root of 3.38 and subsequently the value of the radius “r” in feet. Find the function key designated for cubic roots, press this key and then enter the value 3.38. You find that the radius is 1.50 ft. You can also use an online calculator for this calculation (see the Resources).
Substitute 1.50 ft. in the formula for SA= 4?(r^2) found in Step 1. To find: SA = 4?(1.50^2) = 4?(1.50X1.50) is equal to 9? square ft.
Substituting the value for pi= ?= 3.14 in the answer 9? square ft., you find that the surface area is 28.26 square ft. To solve these types of problems, you need to know the formulas for both surface area and volume.
