Answer:
A is , 18.1058 B is , 24.91575
Step-by-step explanation:
Answer:
3. 43.96 cm
4. 81.64 ft
Step-by-step explanation:
3. The formula for the circumference of a circle in terms of radius is ...
C = 2πr
When π is approximated by 3.14, this becomes ...
C ≈ 6.28r
The only answer choice even close to 6.28×(7 cm) is the one shown above.
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4. The formula for the circumference of a circle in terms of diameter is ...
C = πd
When π is approximated by 3.14, this becomes ...
C ≈ 3.14d
The only answer choice anywhere close to 3.14×(26 ft) is the one shown above.
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<em>Comment on the solution</em>
For questions like these, you only need to be able to estimate the answer to 1 or 2 significant digits. The answer choices are not so close together as to cause any confusion.
6×7 = 42, so the answer will be a few more than 42.
3×26 = 78, so the answer will be within a few numbers larger than that.
In each case, the answer is the largest value on the list. The other choices differ by a factor of 2, so aren't even close.
Here are all the correct answers in the order they are asked.
1. Sphere - all the points from the center create a rounded space
2. Triangular pyramid - A triangular base and three triangular lateral faces
3. Cube all six faces are squares
4. Triangular prism - two triangular bases and four rectangular lateral faces
5. Cylinder two circular bases and a rounded lateral face
6. Rectangular pyramid -rectangular base and four triangular lateral faces
7. Cone- One circular base 1 rounded space that comes to a point.
8. Rectangular prism - 6 rectangular faces
Answer:
No and Yes.
Step-by-step explanation:
The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:
-1≥ -(-1)+7
-1 ≥ 1+7
-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.
On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:
3>(3/4)(5)-5
3>(15/4)-5
3> -5/4 and this is true, so (5,3) is a solution of y>(3/4)x-5.
Answer:
133 ft
Step-by-step explanation:
Given in the question,
length of the rectangle = 31 ft
width of the rectangle= 20 ft
diameter of semicircle = 20 ft
radius of semicircle = 20/2 ft = 10 ft
Formula to use:
<h3>perimeter of rectangle + perimeter of semicircle</h3>
perimeter of rectangle = 2(l+w)
perimeter of semicircle = 1/2(2πr)
Plug values in the formula above
2(31 + 20) + 3.14(10)
133.4 ft
≈ 133 ft
