Hi there!
For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.
To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.
We get the following:

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.
We get the following:

That's your answer.
Have an awesome day! :)
- collinjun0827, Junior Moderator
Solving for the amount of maturity given that it is compounded monthly for 1 year with an interest of 3%, we have the formula and solution below:
A = P (1+r/n)^rn
A = $5,000 (1.040417)
A =$5202.085
For compounded daily, we have the solution below:
A = $5,000 (1.040443)
A = $5202.215
The difference in amount is shown below:
Difference = $5202.215 - $5202.085
Difference = $0.13
Answer:
10√3 / 3
Step-by-step explanation:
cos 30 = 5 / x
x = 5 / cos 30
= 5 / √3 / 2
= 10 √3
= 10√3 / 3
D would me the answer I just took the assignment
<span>∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
v = km
where k is constant and can be calculated as follow:
when m = </span><span>34.932 , and v = 4.1 ⇒⇒⇒ k = v/m = 0.117371
</span>when m = 47.712<span> , and v = 5.6 ⇒⇒⇒ k = v/m = </span>0.117371
when m = 61.344 , and v = 7.2 ⇒⇒⇒ k = v/m = <span>0.117371
when m = </span>99.684 , and v = 11.7 ⇒⇒⇒ k = v/m = <span>0.117371
∴ v = 0.117371 m
</span>
For v =<span>15.3
∴ m = v/k = 15.3/0.117371 = 130.356 </span><span>gram
</span>The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (<span>round to the nearest tenth</span>)