Find the volume of the attached figure...Help please!!! I'll give brainliest if you explain your answer!!!
Answers
Answer:
- 82.5 cubic inches
Step-by-step explanation:
Given pentagonal prism.
The base is a regular pentagon with side of 4 in and the distance from the center to side 2.75 in.
By connecting the center to each vertex we get 5 equal triangles with side of 4 in and height of 2.75 in.
Find the base area:
- B = 5*1/2*4*2.75 = 27.5
Find the volume:
- V = Bh
- V = 27.5*3 = 82.5
The volume is 82.5 cubic inches
Next, multiply by the height. This shape’s height is 3 inches. 27.5*3 = 82.5.
The volume is 82.5 in^3
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Find the least common multiple of x3 - x2 + x - 1 and x2 - 1. Write the answer in factored form.A. (x + 1)^2(x - 1)
Answers
The value of the fraction is given by equation A = 6 7/12
What is a Fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the simplified fraction be represented as A
Now , let the first fraction be p
The value of p = 12 1/4
Let the second fraction be q
The value of q = 5 2/3
On simplifying , we get
A = p - q
A = 12 1/4 - 5 2/3
A = ( 49/4 ) - ( 17/3 )
Taking the LCM of the denominators , we get
A = [ ( 49 x 3 ) - ( 17 x 4 ) ] / 12
A = ( 147 - 68 ) / 12
A = ( 79/12 )
On further simplification of the fraction , we get
A = 6 7/12
Therefore , the value of A is 6 7/12
Hence , the simplified fraction is A = 6 7/12
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5 2/3 = 17/3
49/4 = 147/12
17/3 = 68/12
14/12 - 68/12 = 79/12
6 5/12
speed of the car have to be to complete the trip in 17 hours?
Answers
The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
What is speed?
The rate of change of position of an object in any direction is called speed.
How do you calculate speed when distance and time is given?
According to the given question
At a speed of 68 miles per hour, the trip will be complete in 15 hours.
⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles
( because, distance = speed × time)
Therefore, the speed of car to complete the trip in 17 hours
=
Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
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Answer:
x = 60
Step-by-step explanation:
t =
15 = k/68
k=1020
~~~~~~~~~~~
17 = 1020/x
x = 1020/17
x = 60
Answers
Complete question :
Answer:
(-5) * (20) * (3)
Step-by-step explanation:
Diving 5 feets deeper = descent = negative 5 Feets
Each time instrument is checked = (60/3) = depth of 20 feets
Number of times instrument is checked = 3
Hence, maximum depth :
Diving 5 feets deeper * Each time instrument is checked = depth of 20 feets * Number of times instrument is checked
(-5) * (20) * (3) = - 60
Answer:
c
Step-by-step explanation:
Answers
NOw, it applied a discount which is 25/60. First, let's find out how much the discount rate.
=> 25 / 60 = 0.42 * 100 = 42% is the discount.
=> 85 dollars * 0.42 = 35.7 is the discount.
=> 85 dollars - 35.7 dollars = 49.3 dollars is now the price.
Answers
B. x-3y=-3
C. 3x+y=-6
D. 6x+2y=2 Two lines are parallel. The equation for the first line is y=-3x+5. Which of the following can't be the equation of the second line?
A. y=-3x+2
B. x-3y=-3
C. 3x+y=-6
D. 6x+2y=2 @Mathematics
Answers
y=mx + b , where m is the slope. If two lines are parallel they have equal slopes. So first step is to transform these equations to common form:
A) y=-3x+2
B) x-3y =-3
-3 y =- x-3 / :(-3)
y = 1/3 x +1, 1/3 ≠ -3
C) 3x + y = -6
y = -3x - 6
D) 6x + 2 y = 2
2y= - 6x+2 /:2
y = -3x +1
Answer:B)
choice A. y=-3x+2 is right so can being the equation of second line
choice B. x-3y =-3
-3y = -3-x
3y = 3+x
y = 3/3 +x/3
y = 1 + x/3 so this equation not can being the equation of second line sure