What we know is that the sum of a triangle's internal angles are 180º, and a straight angle makes 180º.
first, we have to find the third internal angle(let's call it n) so that we can use it to find the exterior angle.
(3x + 20) + (4x + 5) + n = 180
simplify:
7x + 25 + n = 180
7x + n = 155
n = 155 - 7x
Now we can add it to the external angle to find x.
(155 - 7x) + (8x + 15) = 180
simplify:
170 + 8x - 7x = 180
170 + x = 180
x = 10
Now we can substitute it to the external angle.
8 x 10 + 15 = 95
the exterior angle is 95º.
This problem boils down to 5/6 - 1/4
To subtract these fractions you need a common denominator.
I'll use 12
The first fraction becomes 10/12 and the second fraction becomes 3/12
10/12-3/12 = 7/12
So Jacob is 7/12 of a foot taller than Linda.
Also note than since 12 inches = 1 foot, you could say Jacob is 7 inches taller than Linda
To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:
yo=-(Voy)t+gt²/2
2. You have that:
Voy=VoxSin(30°)
Voy=(12 m/s)(Sin(30°))
Voy=6 m/s
t=5.6 s
g=9.8 m/s²
2. When you susbtitute these values into the formula, you obtain:
yo=-(6 m/s)(5.6 s)+(9.8 m/s^2)(5.6 s)²/2
yo=120.06 m
Therefore, the answer is: 120.06 m
The dimensions of the smaller box are half those of the larger box. This means that:
*Length of smaller box= length of larger box/2= 24/2= 12cm.
*height of smaller box= height of larger box/2= 30/2= 15cm.
*width of smaller box= width of larger box/2= 10/2= 5cm.
What must be true is the expression will actually be adding 10 + (+ x), because of the two marks you have to make when subtracting by a negative.
The subtraction sign is also the negative sign. So in this case, the expression is also saying -x, which means there is two negative signs.
A double negative is a positive, so in this case the x will be turned to a positive integer.
If this is still too confusing, she can plug in a number to replace x. Let’s try it with -2:
Ex. 10 - (-2)= 12.
The two negative signs turn into one positive sign, AKA an addition sign. So, the above expression can be simplified as 10 + 2, or 12.
