Answer: $76 will be the total for one and a half ours for a repair.
Step-by-step explanation:
28 + 16hh
hh = half hour
1 and a half hours = 3 half hours
28 + 16(3)
28 + 48 = 76
Answer:
FS = 48
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so
FB = 2 BS = 2 × 16 = 32
Then
FS = FB + BS = 32 + 16 = 48
Answer:
The improper fraction is 39/4.
Step-by-step explanation:
9 3/4 = 36 + 3 / 4
= 39/4
Thus the improper fraction is 39/4.
Hope I helped!
Answer:
9.5 ft
Step-by-step explanation:
The perimeter is equal to
P =2(l+w)
29.6 = 2(5.3+z)
Divide each side by 2
29.6 /2 =2/2(5.3+z)
14.8 = 5.3 +z
Subtract 5.3 from each side
14.8-5.3 = z
9.5 =z
As given by the question
There are given that the vector:

Now,
From the formula to find the unit vector in same direction is:

Then,
![\begin{gathered} \vec{u}=\frac{\vec{v}}{\lvert\vec{v}\rvert} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\lvert\vec{2i}+\vec{3j}\rvert} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\lvert\sqrt[]{2^2+3^2}\rvert} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7Bv%7D%7D%7B%5Clvert%5Cvec%7Bv%7D%5Crvert%7D%20%5C%5C%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%7D%7B%5Clvert%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%5Crvert%7D%20%5C%5C%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%7D%7B%5Clvert%5Csqrt%5B%5D%7B2%5E2%2B3%5E2%7D%5Crvert%7D%20%5Cend%7Bgathered%7D)
Then,
![\begin{gathered} \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{2^2+3^2}} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{4+9}} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{13}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%7D%7B%5Csqrt%5B%5D%7B2%5E2%2B3%5E2%7D%7D%20%5C%5C%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%7D%7B%5Csqrt%5B%5D%7B4%2B9%7D%7D%20%5C%5C%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%7D%7B%5Csqrt%5B%5D%7B13%7D%7D%20%5Cend%7Bgathered%7D)
Then,
Rationalize the denominator:
So,
![\begin{gathered} \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{13}} \\ \vec{u}=\frac{\vec{2i}+\vec{3j}}{\sqrt[]{13}}\times\frac{\sqrt[]{13}}{\sqrt[]{13}} \\ \vec{u}=\frac{\vec{\sqrt[]{13}(2i}+\vec{3j})}{13} \\ \vec{u}=\frac{2\sqrt[]{13}}{13}i+\frac{3\sqrt[]{13}}{13}j \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%7D%7B%5Csqrt%5B%5D%7B13%7D%7D%20%5C%5C%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B2i%7D%2B%5Cvec%7B3j%7D%7D%7B%5Csqrt%5B%5D%7B13%7D%7D%5Ctimes%5Cfrac%7B%5Csqrt%5B%5D%7B13%7D%7D%7B%5Csqrt%5B%5D%7B13%7D%7D%20%5C%5C%20%5Cvec%7Bu%7D%3D%5Cfrac%7B%5Cvec%7B%5Csqrt%5B%5D%7B13%7D%282i%7D%2B%5Cvec%7B3j%7D%29%7D%7B13%7D%20%5C%5C%20%5Cvec%7Bu%7D%3D%5Cfrac%7B2%5Csqrt%5B%5D%7B13%7D%7D%7B13%7Di%2B%5Cfrac%7B3%5Csqrt%5B%5D%7B13%7D%7D%7B13%7Dj%20%5Cend%7Bgathered%7D)
Hence, the unit vector is shown below: