Answer:
y = - 7
Step-by-step explanation:
The equation of a horizontal line is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (5, - 7) with y- coordinate - 7, thus
y = - 7 ← equation of horizontal line
Answer:
Height: 8.471
Volume: 2245.641cm3
Step-by-step explanation:
To solve this problem we need to find the volume of the cone, then the volume of the semi sphere, and then, sum all together.
To obtain the volume of the cone, we need to focus our attention in the triangle that already was given to us, since its height is the same as the height of the cone.
We can use the tan(26,7) since it relates the radius of the cone, and its height.
This gives us. h=9/tan(27,9)= 8.471 cm
The volume of the cone is then. 718.629cm3
The volume of the spehere is 1527.012 cm3
FInally the volumen of the toy is the sum of both volumes previously obtained:
2245.641cm3.
Refer the attached picture for a more detailed procedure.
Answer:
10 square in.
Step-by-step explanation:
The rectangles are similar by a scale factor of 3. We can tell because the quotient of two of the corresponding sides, 18 and 6, is 3 (18/6=3)
That means the width of ABCD is 3 times the width of WXYZ.
Let's say the width of ABCD is x. Then 18*x=90 because that's the area.
x=90/18=5
Now we have the width of ABCD, 5, so to get the width of WXYZ, we divide by 3, which is 5/3.
Now to get the area of WXYZ, we can do 5/3, the width, times 6, the length, which is 30/3=10.
![{6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2](https://tex.z-dn.net/?f=%20%7B6x%7D%5E%7B2%7D%20%20-%2024%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%206%28%20%7Bx%7D%5E%7B2%7D%20%20-%204%29%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%206%20%7B%28%28x%29%7D%5E%7B2%7D%20%20-%20%20%7B%282%29%7D%5E%7B2%7D%20%29%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%206%28x%20-%202%29%28x%20%2B%202%29%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%206%28x%20-%202%29%20%3D%200%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%206%28x%20%2B%202%29%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%206x%20-%2012%20%3D%200%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%206x%20%2B%2012%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%202%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%20%20-%202)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
I'm not sure but 19.2
Step-by-step explanation:
I'm sorry if its wrong