Answer:
f) Not possible
Step-by-step explanation:
The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
<h3>
How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
42.40
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 49.88 × 15/100
Discount = 49.88 x 0.15
You save = $7.48
Final Price = Original Price - Discount
Final Price = 49.88 - 7.482
Final Price = $42.40
Answer:
4.33 : 6.49
Step-by-step explanation:
Given endpoints as A(-7,-2) and (2,4) find the length of the segment
d=√ (x₂-x₁) + (y₂-y₁)²
d=√ (2--7)² + (4--2)²
d=√ 9² + 6²
d= √ 81 +36
d=√117 =10.82
The partition is at (-3.4,0.4)
The length from A to the partition will be
A(-7,-2) (-3.4,0.4)
√ (-3.4--7)² + (0.4--2)²
√ 3.6²+2.4²
√18.72 = 4.33
Length of segment from partition to end point B
(-3.4,0.4) , B(2,4)
√(2--3.4)²+(4-0.4)²
√ 5.4² + 3.6²
√42.12
=6.49
The ration that results from the partition of the segment is;
4.33 : 6.49
Answer:
22.7
Step-by-step explanation:
Okay so the situation given shows a right triangle with the two sides being 7.6 and 18.2. So we can find the angle of elevation using tangent, which is tan-1*7.6/18.2. I got 22.66 so 22.7
