Answer:
![width=10\sqrt{15}\ in](https://tex.z-dn.net/?f=width%3D10%5Csqrt%7B15%7D%5C%20in)
Step-by-step explanation:
-A rectangle's area is given by:
![A=lw\\\\l=length\\w=width](https://tex.z-dn.net/?f=A%3Dlw%5C%5C%5C%5Cl%3Dlength%5C%5Cw%3Dwidth)
Given A=
and
, we substitute in the formula to solve for the width as follows:
![A=lw\\\\30\sqrt{3750}=3\sqrt{250}\times w\\\\w=\frac{30\sqrt{3750}}{3\sqrt{250}}\\\\w=10\frac{\sqrt{3750}}{\sqrt{250}}\\\\=10\times \sqrt{\frac{3750}{250}}\\\\=10\sqrt{15}\ in](https://tex.z-dn.net/?f=A%3Dlw%5C%5C%5C%5C30%5Csqrt%7B3750%7D%3D3%5Csqrt%7B250%7D%5Ctimes%20w%5C%5C%5C%5Cw%3D%5Cfrac%7B30%5Csqrt%7B3750%7D%7D%7B3%5Csqrt%7B250%7D%7D%5C%5C%5C%5Cw%3D10%5Cfrac%7B%5Csqrt%7B3750%7D%7D%7B%5Csqrt%7B250%7D%7D%5C%5C%5C%5C%3D10%5Ctimes%20%5Csqrt%7B%5Cfrac%7B3750%7D%7B250%7D%7D%5C%5C%5C%5C%3D10%5Csqrt%7B15%7D%5C%20in)
Hence , the rectangle's width is ![10\sqrt{15}\ in](https://tex.z-dn.net/?f=10%5Csqrt%7B15%7D%5C%20in)
Answer:
the slope is 60
Step-by-step explanation:
the slope is the number multiplying the x value, or t in this case.
K = ln (153/147)/7
k =
<span>
ln
(<span>
<span>
1.0408163265)/7
k = </span></span></span>0.040005334584
y(t) = a * e ^ k*t
y(2017) = 147 * e^ <span><span><span>0.040005334584
</span>
</span>
</span>
* 26
y(2017) = 147*e^
<span>
<span>
<span>
1.0401386992
</span>
</span>
</span>
y(2017) = 147*
<span>
<span>
<span>
2.8296094512
</span>
</span>
</span>
<span>y(2017) = 415.95 NOT very sure of that answer
</span>
Answer:
vertex = (3,24) Axis of symmetry = 3
Step-by-step explanation:
Use the vertex formula to find x: x=-b/2(a)
x= 12/2(2) = 3 (this is your axis of symmetry)
Substitute 3 for x in the equation to get y: y = 42
Once you have both x and y you have your vertex.
Answer:
Measure of angle b is 42 degrees
Step-by-step explanation:
Since angle b is part of a right angle, we can see that part of the right and blue is 48 degrees, and the other part is b. So, we can do 90-48 to get 42 degrees.