Answer:
-9
Step-by-step explanation:
2x + 7 = -11
2x = -11 - 7
2x = -18
x = -9
Think of it like this: imagine a frog on some lily pads and if it hops left it gets smaller(negative) and if it hops right it gets bigger(positive) ,(but think of it like numbers) so -14-5 think about the -14 being way down at the left and then you add on the (-5) since the number you are adding is negative it is getting smaller (going farther away from the zero, not closer) so when you add a negative to a negative number you get smaller instead of bigger. Hope that helps
6.0⋅<span>102</span><span>kg m<span>−3</span></span>
Explanation:
In order to find the density of the bowling ball, <span>ρ
</span>, you must determine the mass one unit of volume of this bowling ball would have.
Notice that the problem provides you with the volume of the bowling ball expressed cubic meters, <span><span>m3</span>
</span>, which means that one unit of volume would be <span><span>1 m3</span>
</span>.
Now, you know that a volume of <span><span>0.0050 m3</span>
</span> has a mass of <span>3.0 kg
</span>. You can use this known proportion as a conversion factor to figure the mass of <span><span>1 m3</span>
</span>
<span><span>1<span>m3</span>⋅<span>3.0 kg<span>0.0050<span>m3</span></span></span>=600 kg</span>
</span>
So, you know that one unit of volume has a mass of <span>600 kg
</span>, which means that the bowling ball's density is equal to
<span><span><span>ρ=6.0⋅<span>102</span><span>kg m<span>−3</span></span></span><span>−−−−−−−−−−−−−−−−−</span></span>
</span>
The answer is rounded to two sig figs.
9514 1404 393
Answer:
C) 65°
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(?) = 25/59
? = arccos(25/59) ≈ 64.93°
The indicated angle is about 65°.
_____
You can see that the figure is drawn approximately to scale and that the angle is more than 45°. (The unmarked leg is longer than the given leg.) The only answer choice that is more than 45° is the one shown above.
