Answer:
42.5 units^2
Step-by-step explanation:
We can split up this shape into smaller ones.
First we can start with the large rectangle on top
We know its 9 by 3.5
9x3.5=31.5
The large rectangle is 31.5, at the end we'll add them all together
Next we can work on the small triangle on the bottom left
Area= bh/2
Both the base and height are 2, 2x2=4 4/2=2, The area of that triangle is 2
Now we can work on the triangle on the bottom right. This time the base is 5
5x2=10 10/2=5, The area of that triangle is 5
Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.
Now we know the small square is 2 by 2. 2x2=4 The square's area is 4
Now we add them all up.
31.5+2+5+4=42.5
Answer:
describe the relationship between what
Step-by-step explanation:
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
</span>
we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°
Answer:
$16.25 $15.95 $15.75
Step-by-step explanation:
because a 15% tip is $3.00
