Answer:
4.69 miles per minute
Step-by-step explanation:
75 ÷ 60 (60 minutes in an hour) = 4.6875
4.6875 rounded to the nearest hundredth is 4.69
Answer:
Step-by-step explanation:
7*(7 + x+1) = 6*(x + 5 + 6) {Intersecting secant theorem}
7 *(x + 8) = 6*(x + 11)
Distributive property,
7x + 56 = 6x + 66
Subtract 56 from both sides
7x = 6x + 66 - 56
7x = 6x + 10
Subtract 6x from both sides
7x - 6x = 10
x = 10
When factoring this expression 20b-16, find the GCF (greatest common factor) among both terms. For this case, it is 4 which is the GCF. Therefore,
20b - 15 is equal to 4(5b - 4)
The factors of the expression are 4 and 5b-4.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
<h2>
Answer:</h2>
a. <-13/2,-13/2>
<h2>
Step-by-step explanation:</h2>
The projection of a vector u onto another vector v is given by;
= 
----------------(i)
Where;
u.v is the dot product of vectors u and v
|v| is the magnitude of vector v
Given:
u = <-6, -7>
v = <1, 1>
These can be re-written in unit vector notation as;
u = -6i -7j
v = i + j
<em>Now;</em>
<em>Let's find the following</em>
(i) u . v
u . v = (-6i - 7j) . (i + j)
u . v = (-6i) (1i) + (-7j)(1j) [Remember that, i.i = j.j = 1]
u . v = -6 -7 = -13
(ii) |v|
|v| = 
|v| = 
<em>Substitute these values into equation (i) as follows;</em>
= ![[\frac{-13}{(\sqrt{2}) ^2}][i + j]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-13%7D%7B%28%5Csqrt%7B2%7D%29%20%5E2%7D%5D%5Bi%20%2B%20j%5D)
= ![\frac{-13}{2} [i + j]](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B2%7D%20%5Bi%20%2B%20j%5D)
This can be re-written as;
= 
= 
So, I'm not quite sure what you're asking, so I'll answer it two different ways.
7.95 + (7.95 * 1.06)
7.95 + 8.247 = $16.197
The second way:
1.06n = 7.95
n = 7.95 / 1.06
n = 7.5
106 Percent of $7.50 is 7.95
