Answer:
29.7cm²
Step-by-step explanation:
The area of the shaded region = area of rectangle - area of circle
Area of rectangle:
A=lw
=7*5
=35cm²
Diameter of circle is 2.6cm. Radius is half diameter: 2.6/2=1.3cm
Area of circle:
A=πr²
=(3.14)(1.3²)
=5.3066cm²
35 - 5.3066 = 29.6934cm²
The rule says each term is double the previous one. Your terms are ...
... 7, 14, 28
Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.





Isolating variable terms, we get



Therefore, the value of x is equal to 4.
We know that
The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

°
Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.
Hence
the answer is
the distance between the two ships is 8 miles apart
alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles
Answer:
The 1st graph
Step-by-step explanation:
20 = 2t + 12
2t = 8
t = 4
At most she can afford 4 toppings which means she can have 4 toppings to less: t ≤ 4. This is represented in the 1st graph.