Answer:
Area = 64π
Area \: = \pi {r}^{2}Area=πr
2
64 \: \pi \: = \pi {r}^{2}64π=πr
2
{r}^{2} = \dfrac{64\pi}{\pi}r
2
=
π
64π
{r}^{2} = 64r
2
=64
r \: = \: \sqrt{64} = 8r=
64
=8
Radius = 8 units
Finding the Diameter -
Diameter = Radius x 2 = 8 x 2 = 16 .
\bold{Diameter \: is \: 16 \: units}Diameteris16units
f(5) means to replace the x in the equation with 5.
f(5) = 8(5) - 3
f(5) = 40 - 3
f(5) = 37
Answer:
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary
Step-by-step explanation:
y = 45,000 +.05x
Rewriting as
y = .05x +45,000
This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept
.05 is the slope and 45,000 is the y intercept
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary
Answer:
yes.
Step-by-step explanation:
to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².
to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.
we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.
calculation:
a² + b² = c²
a = 8 millimetres
b = 15 millilitres
c = ?
8² + 15² = c²
64 + 225 = c²
64 + 225 = 289.
289 = c²
√289 = c
√289 = 17.
the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.
