Answer:
length of BC = 5 1/4 feet
Step-by-step explanation:
Area of a triangle = 1/2×base×height
Area = 4 3/8 square feet
Base = AC= 1 2/3 feet
Height = BC = ?
Area of a triangle = 1/2×base×height
4 3/8 = 1/2 × 1 2/3 × height
35/8 = 1/2 × 5/3 × height
35/8 = 5/6 × height
Height = 35/8 ÷ 5/6
= 35/8 × 6/5
= (35 × 6) / (8 × 5)
= 210 / 40
= 5 1/4 feet
Height = BC = 5 1/4 feet
length of BC = 5 1/4 feet
If 1.5 and 2.5 are the height and base, then just use Pythagorean theorem,
It means you're putting money into your account
Answer:
m<A = 120°
m<C = 45°
Step-by-step explanation:
We can use the triangle sum theorem to find the measures of the angles.
m<A + m<B + m<C = 180°
Then substitute in their given values.
12x + 12 + 15 + 3x + 18 = 180°
Now simplify the equation and you get
15x + 45 = 180°
Continue to solve
15x = 135
x = 9°
Now substitute this value of 9 for the angle expressions of <A and <C
(12 x 9) +12 = m<A
m<A = 120°
(3 x 9)+ 18 = m<C
m<C = 45°
Hope this helps. To check your answer you can add up all the answers to see if it equals 180°.
Answer:
Step-by-step explanation:
The formula for determining the volume of a square based pyramid is expressed as
Volume = 1/3 × base area × height
Since the base is a square, all sides would be equal. The formula for finding the area of a square would be applied. From the information given, length of each side of the square is 12 cm. Therefore,
Base area = 12² = 144 cm²
Height = 10 cm
Therefore,
Volume = 1/3 × 144 × 10 = 480 cm³
