Answer:

Step-by-step explanation:
Let that number be
. We can build an equation, and solve for
.
less than half of
is
.
more than
is
.
We are given that the two quantities are equal, so we have that
.
Adding
to both sides gives
.
Multiplying both sides by
gives
.
Subtracting
from both sides gives
.
Multiplying both sides by
gives
.
So, the number is
and we're done!
The check is left as an exercise to the reader.
Answer: No
Step-by-step explanation:-
Labeled diameter on the bolt = 0.35 inch
The observed diameter of the bolt= 0.33 inch


For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(30°) = 5/x
Solving for x, we get ...
x = 5/sin(30) = 5/0.5
x = 10
_____
It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.
Answer:
1. Anne = 21 Bobby=35, 450, 70+40+30=140
Step-by-step explanation:
- 1 21÷3=7
- 7×5=35
- 7-2=250
- 5=250
- 1=50
- 2×50+7×50=100+350=450
- 450
- we can see that it's multiplied by 10, so 70+40+30=140