Answer:
solution :
in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC.
now ,
in rt angle tirangle ADC,
angleACD=45 degree, angle DAC=45 degree now,
in triangle ABD,
angle BAD+angleABD+angleADB=180 DEGREE (sum of the sngle of triangle)
angle BAD+75+30=180
angle BAD=180-165 therefore,angle BAD=15
angle BAC =15+45=60
Area of triangle ABC=1/2×AB×AC×SIN 60
=1/2×10.2×14×√3/2
=61.83cm³ ans
Answer:
$110
Step-by-step explanation:
1. The total cost:
<em>(3 * 65) + (2 * 70) + (1 * 55)</em> -> cost of dresses + jeans + earrings
Total: 195 + 140 + 55 = <em>390</em>.
2. Money leftover:
<em>500 - 390</em> = $110.
1,500
2,400
1,100. Sue’s paper is 1,100 kilograms
then Bob’s paper
Answer:

Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>
From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

<h3>Area of each circular section:</h3>
From the figure, we know that
and the radius is
. So, the are would be calculated with this formula:

Replacing all values:

Remember that 
Therefore, 
Now, the total are of the figure is:

Therefore the area of the symmetrical pool is 