Can you be more specific? Do I find or simplify?
You want the total volume of a cuboid 1" × 10" × 38" and a cylinder 1" in diameter by 12" long.
Volume of a cuboid:
.. V = l*w*h
.. = (38")*(10")*(1")
.. = 380 in³
Volume of a cylinder:
.. V = (π/4)*d²*h
.. = (3.14/4)*(1")²*(12")
.. = 9.42 in³
Total volume = Volume of cuboid + Volume of cylinder
.. = 380 in³ +9.42 in³
.. = 389.42 in³
The volume of the coat rack is approximately 389.42 in³.
Answer 56 so if you multiply the numbers given you will get the answer 56 :)
Answer:
the first one i believe
Step-by-step explanation:
hope this helps
Answer:
m∠B = 157°
Step-by-step explanation:
Cyclic quadrilateral is the quadrilateral whose vertices lie on the edge of the circle
In the cyclic quadrilateral each two opposite angles are supplementary (the sum of their measures is 180°)
∵ Quadrilateral ABCD is inscribed in a circle
- That means its four vertices lie on the edge of the circle
∴ ABCD is a cyclic quadrilateral
<em>Each two opposite angles in the cyclic quadrilateral are supplementary (The sum of their measures is 180°)</em>
∵ ∠B and ∠D are opposite angles in the quadrilateral ABCD
∴ m∠B + m∠D = 180° ⇒ opposite ∠s in a cyclic quadrilateral
∵ m∠B = (6x + 19)°
∵ m∠D = x°
- Substitute them in the rule above
∴ (6x + 19) + x = 180
- Add the like terms in the left hand side
∴ (6x + x) + 19 = 180
∴ 7x + 19 = 180
- Subtract 19 from both sides
∴ 7x = 161
- Divide both sides by 7
∴ x = 23
<em>Substitute the value of x in the expression of the measure of ∠B to find its measure</em>
∵ m∠B = 6(23) + 19
∴ m∠B = 138 + 19
∴ m∠B = 157°