4 you will have 2.1 meters of wood left over
Answer:
512 in³
Step-by-step explanation:
The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...
h² +8² = 10²
h² = 100 -64 . . . . . subtract 8²
h = 6 . . . . . . . . . . . . take the square root of 36
Then the volume is found using ...
V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³
The volume is 512 cubic inches.
_____
The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.
Answer:
Some students were asked how many books they were carrying in their backpacks. The data is given in this frequency table. What is the mean number of pens carried by these students in their backpacks?
Pens Frequency
0 4
1 5
2 8
3 4
4 3
5 1
A.2
B.3.5
C.4
D.5.5
Answer:
865
Step-by-step explanation: The set of possibilities are:
Subcommittee is of 4 people according to:
4 teachers 0 other member total possibilities 1
3 teachers 1 teachers C₄,₃ = 4 and other member 6 6*4 = 24
2 teachers 2 C₄,₂ = 4!/2! = 12 2 (om) and C₆,₂ = 6!/4! = 30
30*12 = 360
1 teacher 3 (om) 4 and C₆,₃ = 6!/3! = 120
120*4 = 480
Total ways of committee 1 + 24 + 360 + 480 = 865
The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Cone B is the image of cone A after dilation by a scale factor of 1/2, hence:
Surface area of cone B = 40 km² * (1/2)² = 10 km²
The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2
Find out more on equation at: brainly.com/question/2972832
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