The angle between the legs labeled 
and 
is complementary to the angle with measure 31 degrees, so that angle has measure 90 - 31 = 59 degrees. Then
Answer:
-311
Step-by-step explanation:
Using PEMDAS:
first add (-378 + 3) --> -375
then multiply 8 and 8 --> 64
then add 64 and -375
this equals -311
Hope this helped!!
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Answer:
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
He then ate 16 more jelly beans
This was equal to 37 jelly beans
This is the equation
Now solve for x
Subtract 16 from both sides
Multiply both sides by 3
63 Jelly Beans
Answer:
The amplitude is 4
Step-by-step explanation:
Recall that the amplitude of a harmonic form like this one based on the cosine function is the absolute value of the coefficient that multiplies the function. In our case that coefficient is 4.
So the amplitude of this function is "4".
