Answer:
m < A = 60º
m < B = 30º
Step-by-step explanation:
The given sides on this triangle are: 6, 
, and 12
Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:
x, 
, 2x
We can line this up with the given sides. If x is 6, then 2x would be 12.
x : : 2x = 6 : : 12
Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.
m < B = 30º
Solving for < A:
Method 1) Sum of Angles in a Triangle
Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.
180º - 90º - 30º = 60º
m < A = 60º
Method 2) Using the second part of the proportion
Since m < A is across from the second largest side, we know that it is equal to ( in this question) or 60º in the angle proportion.
This means that m < A = 60º
Let me know if you have any questions!
Answer:
Step-by-step explanation:
1) y + 4 + 3(y + 2)
Expand:-
Combine like terms:-
__
2) 0.5(x⁴ - 3) + 12
Expand:-
Add/Subtract Numbers:-
___________________
Answer:
4 batches
Step-by-step explanation:
one batch calls for:
3/4 PB
1 1/2 cup SG
1 EGG
3/.75(3/4)= 4
9/1.5(1 1/2)=6
5/1= 5
The maximum number of batches she can make before running out of ingredients is 4
Answer:
<h2>
</h2>
Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
<h3>
</h3>
We have
<h3>
</h3>
Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
x-axis(independent) = 1.5
y-axis(dependant) = 75ft
Step-by-step explanation:
An INDEPENDENT variable is the variable yourself can not change, in this case its time. The DEPENDANT variable is the variable that is changed to affect data you are solving for. Idk if this helps you at all to understand for future references but i hope it did!
