<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as,
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
To model this situation, we are going to use the standard linear function:
.
1. Since S represent the total amount of money in the savings account,
. We also know that each week she adds $40 to her account, so the slope of our linear equation will be
; therefore,
. Since she started her account with $750,
.
Lets replace those values in our linear function:
We can conclude that equation that models this situation is: 2. Now to find the total amount after 16 weeks, we just need to replace
with 16 in our equation and simplify:
We can conclude that the amount of money in her account after 16 weeks is $1390
When you cut something in half: let’s say a circle ⭕️
It’s a cut between a shape that is perfectly the same measurement on each side (if you cut a circle in shape, it’s the same size and width)
I hope this helps!
Answer:
60 degrees
Step-by-step explanation:
First we need to know how many degrees are in a parallelogram. We can use the formula 180(n-2) (n is the number of sides)
This works out to 180(4-2)=360 degrees.
Now we can set up the following equation as:
2(120)+2x=360 Subtract 240 from both sides to get:
2x=120 Divide by 2 to get:
x=60 degrees
Therefore we know 2 angles are each 120 degrees and the other 2 are 60 degrees.
Makes sense?
Answer:
Step-by-step explanation:
In a right triangle only, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse of the triangle. (o/h)
The cosine of the angle is equal to the angle's adjacent side divided by the hypotenuse of the triangle. (a/h)
The tangent of the angle is equal to angle's opposite side divided by the adjacent side. (o/a)
In this case, angle A's opposite side is 12, its adjacent side is 35, and the hypotenuse is 37 (o=12, a=35, h=37).
Thus we have: