Answer: 2908.92435 inches.
Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.
Step-by-step explanation for shape 2:
Using the formulas:
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for A:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1
2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435
Step-by-step explanation for total volume: 2908.92435 inches.
1. 5/6
2. 2/3 x 5/6
3. 2/3 x 5/6 = 10/18
Multiply the numerators— 2 x 5 = 10
Multiply the denominators—3x 6= 18
4. 10/18 = 5/9
Find the greatest common factor of 10 and 18 which is 2.
Divide the numerator by 2– 10/2 = 5
Divide the denominator by 2– 18/2 = 9
I hope this helps!
4 embroidered uniforms= $5 fee for each 4 embroidered uniform and $25 for each uniform. 5 x 4 = 20. 25 x 4 = 100. 100 + 20= 125. He paid $120 for the embroidered uniform.
Answer:
<h2>-223,948</h2>
Step-by-step explanation:
The formula of a sum of terms of a gometric sequence:
a₁ - first term
r - common ratio
We have
Calculate a₁. Put n = 1:
Calculate the common ratio:
9514 1404 393
Answer:
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}
Step-by-step explanation:
"Alternate" means the angles are on opposite sides of the transversal.
"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.
"Exterior" means the angles are outside the parallel lines.
"Interior" means the angles are between the parallel lines.
"Corresponding" means the angles are in the same direction from the point of intersection.
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}
