A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD re
gayaneshka [121]
Answer:
356 cm².
Step-by-step explanation:
Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;
Area of rectangle = width × length = 6 × 4 = 24 cm².
Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;
Area of a circle = (radius)^2 × π.
Area of a circle = (11)^2 × π = 380.13 cm².
Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.
That is; 380.13 cm² - 24 cm² = 356.13 cm².
<h3>
The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300</h3>
Step-by-step explanation:
The weight of the car is given as:
P(C) = x² + 10 x + 200
The weight of the truck is given as:
P(T) = x³ + x + 100
Now, the combined weight of both vehicles is given as
= Weight of Car P(C) + Weight of Truck P(T)
P(W) = x² + 10 x + 200 + x³ + x + 100
= x³ + x² + (10 x + x)+ (200 + 100)
= x³ + x² + 11 x + 300
⇒ The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300
Answer:
5/6
Step-by-step explanation:
x > 1
x = 2,3,4,5,6
( quantity of 2,3,4,5,6)/(total)
5/6
Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
<em><u>Recall:</u></em>
- The midsegment of a triangle joins two sides of a triangle at their midpoint.
- The third side is the base of the triangle.
- Triangles have three midsegments.
- Based on the midsegment theorem, the length of the midsegment = ½(third side).
The picture given shows a triangle with two midsegments: AB and BC
AB = the distance Ashley will kayak.
BC = the distance Christopher will kayak.
XY = 5 mi (base)
XZ = 6 mi (base)
Applying the midsegment theorem, find AB and BC.
AB = ½(XZ)
AB = ½(6)
AB = 3 mi
BC = ½(XY)
BC = ½(5)
BC = 2.5 mi
Thus, the distance Ashley will kayak more than Christopher = AB - BC
= 3 mi - 2.5 = 0.5 mi.
Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Learn more about the midsegment theorem on:
brainly.com/question/12234706
