Answer:
2411.52 cm³
Step-by-step explanation:
V = (2/3)πr³ Use the equation for volume of a hemisphere
V = (2/3)(3.14)(8)³ Simplify the exponent
V = (2/3)(3.14)(512) Multiply
V = 1071.79 cm³
V = πr² h/3 Now find the volume of the cone
V = (3.14)(8)²(20/3) Simplify the exponent
V = (3.14)(64)(20/3) Multiply
V = 1339.73 cm³
Add both of the volumes together to get the volume of the figure.
1071.79 + 1339.73 = 2411.52 cm³
If this answer is correct, please make me Brainliest!
For the first one his car used 8/340 or 2/85 gallons for one mile.
After the fix, his car 7/350 or 1/50 gallons for one mile.
Then you subtract 1/50-2/85 to get (17-10)/850 or 7/850.
You multiply this by 4 to get 28/850 which is $0.0329411
Since it is asking for cents you multiply by 100 to get approximately 3 cents.
Statement 1: WXYZ is a kite
Reason 1: Given
Statement 2: WX = XY and WZ = YZ
Reason 2: Definition of a kite
Statement 3: XZ = XZ
Reason 3: Reflexive property
Statement 4: Triangle WXZ = Triangle YXZ
Reason 4: SSS Congruence
Statement 5: Angle W = Angle Y
Reason 5: CPCTC
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Extra notes:
* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.
* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.
* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y
* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".
* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"
Step-by-step explanation:
1. -9x - 3 - 3 + 2x
-7x - 6
3. 3 - 4x - 7x - 2
-11x - 1
4. 5x - 1 + 3 + 2x
7x + 2
