Answer:
x=-1, -6
Step-by-step explanation:
x^2+7x+6=0
factor
(x+1)(x+6)=0
x+1=0, x+6=0
x=0-1=-1
x=0-6=-6
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.
Answer:
4.71
Step-by-step explanation:
Arc length = 2*pi*r-(pi*r)/2
Arc length = 3*2*(3.14)/4 = 4.71
ANSWER
The height of the larger cone is 3cm
EXPLANATION
Since the two cones are similar we can use the scale factor to determine the height of the larger cone.
It was given that, the volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³.
The scale factor for the volume is

The scale factor for the length is
![k = \sqrt[3]{ \frac{27}{8} }](https://tex.z-dn.net/?f=k%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B27%7D%7B8%7D%20%7D%20)

To find the height of the larger cone, we multiply by
According to given information,
Equation of Melinda Earning = 75 + 12x
Equation of Marcus Earning = 15x
Where, x = Number of hours they worked.
Now, we need to calculate when they will have same amount of money, so for that instance they shall equal to each other.
75 + 12x = 15x
15x - 12x = 75
3x = 75
x = 75/3
x = 25
After 25 hours, they will have the money = 15(25) = $375
So, your final answer is $375
Hope this helps!