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zvonat [6]
2 years ago
14

A cone has a slant height of a 26 cm and a radius of 10 cm what is the height of the cone

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
7 0

The height of the cone is 24 cm.

<h3>How is the slant height calculated?</h3>

The distance along the curved surface, measured from the edge at the top to a point on the circumference of the circle at the base, is known as the slant height of an object (such as a cone or pyramid). In other words, the slant height, represented either as s or l, is the shortest distance that may be traveled along the surface of the solid.

Slant height(l)=26cm

Radius(r)=10cm

It is known that, l^{2}=r^{2}+h^{2}

Here, h is the height of the cone.

On substituting the values,

26^{2}= 10^{2}+h^{2}

\\676=100+h^{2}\\

h^{2}=676-100\\

h^{2}=576\\

h=\sqrt{576}\\

h=24

Learn more about height here:

brainly.com/question/1739912

#SPJ4

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Answer:

Question 1- 288.48

Step-by-step explanation:

depending on how they round your answer the number might look different.

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V=24.040625 ~ 24.04

12 x 24.04

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5 0
3 years ago
The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room
tangare [24]
I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
A = lw\\&#10;600 = (x+5)(x+4)\\&#10;600 =  x^{2} + 9x + 20&#10;

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
600 = x^{2} + 9x + 20\\&#10;x^{2} + 9x - 580 = 0\\&#10;(x + 29)(x - 20) = 0\\&#10;x + 29 = 0, \:\: x - 20 = 0\\&#10;x = -29, x = 20

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).
8 0
3 years ago
Read 2 more answers
Evaluate 5x-7 when x=2
Reptile [31]

Answer:

the answer is 3since x is 2 so it becomes 5times 2 minus 7 equals to 3

4 0
1 year ago
Find the values of x and y.<img src="https://tex.z-dn.net/?f=x%20%3D%2034%5Csqrt3%20y%20%3D%2017%5C%5Cx%20%3D%20y%20%3D%2034%2C%
Shalnov [3]

Answer:

The value of "x" is 34 and the value of "y" is 17.

Step-by-step explanation:

"x" is shown as 34 and "y" is shown on the rectangular shape in the number form of 17. If your trying to find the area of the rectangle the area is 578.

5 0
3 years ago
Q4: Write the equation in slope-intercept form of the line that is perpendicular to
forsale [732]

Answer:

5y  = x + 11

Step-by-step explanation:

Given parameters:

  Equation of the line ;

           y  = -5x + 1

  Coordinates = (2, -1)

Find the equation of a line perpendicular;

Solution:

A line perpendicular to  y  = -5x + 1  will have slope that is a negative inverse of the given one.

Equation of a straight line is expressed as;

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y and x are the coordinates

m is the slope

c is the y-intercept

        So, the slope of the new line perpendicular is \frac{1}{5} ;

Now let us find the y-intercept of the new line;

   x = -1 and y = 2

      2  = \frac{1}{5} x (-1) + c

           c  = 2 + \frac{1}{5}   = \frac{11}{5}  

The equation of the new line is;

          y  =  \frac{1}{5}x +  \frac{11}{5}  

or multiply through by 5;

        5y  = x + 11

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