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Ivahew [28]
4 years ago
14

Jacobs sand bucket has a top diameter of 10 inches and a bottom diameter of 7 inches. the bucket is 12 inches tall. What’s the v

olume
Mathematics
1 answer:
Elanso [62]4 years ago
4 0
We know that
The volume of a circular truncated cone=(1/3)*pi*[r1²+r1*r2+r2²]*h
where
r1=7/2-----> 3.5 in
r2=10/2----> 5 in
h=12 in
volume of a circular truncated cone=(1/3)*pi*[3.5²+3.5*5+5²]*12
volume=688 in³

the answer is
688 in³

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Which statement about the equation is true
8090 [49]
They equal the same so I’m pretty sure it has no solution x
6 0
3 years ago
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a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?
lisabon 2012 [21]

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!

8 0
3 years ago
The hypotenuse of a right triangle is 13.0, and one leg is 9.0 units shorter than the other. Find the dimensions of the figure (
Darina [25.2K]
Let, one leg be x units. 
since the other leg is 9.0 units shorter than the other, 
the measure of the other leg =x-9 
hypotenuse =13.0 units 
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.  
x^2 +(x-9)^2 =13^2 
x^2 + x^2 -18x +81 = 169 
2x^2-18x-88=0 
Divide the whole equation by 2 
x^2 - 9x -44 =0  
Let's use the quadratic formula to find the roots. 
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a  
a=1 b=-9 c=-44 
x= [9±sqrt(81+176)]/2
 =[9±sqrt(257)]/2
 =[9±16.03]/2
 =25.03/2 or -7.03/2
 length of a triangle cannot be negative,
 Therefore, x=25.03/2 =12.52 
 one leg =12.5 units
 other leg =12.52-9 =3.5 units
4 0
3 years ago
Let f(x)= 2x-3/9 and g(x)=9x+3/2<br><br> Find (f o g)(x)<br> Find (f o g)(x)
svlad2 [7]
These seem tough, but they are not that bad. 
(f o g)(x)

That means to take function g when x = x (It just means that you don't need to do anything with the function) and substitute it into function f wherever there is a x value. (So basically g becomes what x equals) 
Here is a visual representation of it.

(f o g)(x) = 2(9x + (3/2)) - (3/9) 

We need to distribute the 2 to everything inside the parenthesis.

(f o g)(x) = 18x + (6/2) - (3/9) 

Let's simplify the fraction on the right and left, then find a common denominator so we can add / subtract the two fractions. 

(f o g)(x) = 18x + (3) - (1/3) 
(f o g)(x) = 18x + (9/3) - (1/3) 

Combine like terms.

(f o g)(x) = 18x + (8/3)

Our final answer is: 
(f o g)(x) = 18x + 8/3

8 0
3 years ago
Help . Describe the graph of a function g by observing the graph of the base function f.
vfiekz [6]

Answer:

yet I don't have ideal of dis okkk

3 0
3 years ago
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