Answer: 4 a - 3 b
Step-by-step explanation:
Since, the perimeter of the triangle = sum of all the three side of the triangle.
Here, two sides of the triangle are 2a + b and a - 9b,
And, the perimeter of the triangle = 7 a - 11
Let third side = x
Therefore, 2 a + b + a - 9 b + x = 7 a - 11 b
⇒ 3 a - 8 b + x = 7 a - 11 b
⇒ x = 7 a - 11 b - 3 a + 8 b
⇒ x = 4 a - 3 b ( by operating like terms)
Answer:
Volume = 100 cm³
Surface area of the square pyramid = 145 cm²
Step-by-step explanation:
Given:
Perpendicular height = 12cm
Square length = 5cm
Find:
Volume
Surface area of the square pyramid
Computation:
Area of base = side²
Area of base = 5²
Area of base = 25 cm²
Volume = (1/3)(A)(h)
Volume = (1/3)(25)(12)
Volume = 100 cm³
Surface area of the square pyramid = A + 1/2(P)(h)
Perimeter square pyramid = 4(s)
Perimeter square pyramid = 4(5)
Perimeter square pyramid = 20 cm
Surface area of the square pyramid = 25 + 1/2(20)(12)
Surface area of the square pyramid = 145 cm²
Answer:
∠WXY = 107°
Step-by-step explanation:
In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.
Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.
I hope this helps :))
Answer:
A. $6.65
Step-by-step explanation:
To find how much 1/6 is you divide $7.98 by 6 and so the answer is $1.33. Now multiply $1.33 by 5 to get 5/6 or get the answer $6.65.
X = 7, -3, 2
(x - 7)(x + 3)(x - 2) = 0
(x - 7)(x^2 + x - 6) = 0
x^3 - 6x^2 - 13x + 42 = 0
