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Delicious77 [7]
10 months ago
7

Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 32° = _____

Mathematics
1 answer:
Advocard [28]10 months ago
5 0

Answer

0.63

Explanation:

Given the expression

tan 32

Using Calculator

tan 32 = 0.6248

Converting to nearest hunderdth

tan 32 = 0.63

hence tan 32 to the nearest hunderdth is 0.63

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Find the domain of the function
Svetradugi [14.3K]

Answer:

<em>The domain of f is (-∞,4)</em>

Step-by-step explanation:

<u>Domain of a Function</u>

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

f(x)=\frac{1}{\sqrt{4-x} }

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0
2 years ago
PLS PLS HELP ME PLS
kolbaska11 [484]

Answer:

All I see is white need to post another

4 0
2 years ago
Lin runs 12 laps around a track in 15 minutes.
nalin [4]

Answer:

1.25

Step-by-step explanation:

15/12

5 0
3 years ago
How many ways are there to put 6 balls in 3 boxes if the balls are distinguishable but the boxes are not?
FromTheMoon [43]

This is essentially asking how many different ways to partition 6 into 3 segments.


I am assuming "no ball in a box" is not allowed.


6 can be partitioned as

(4,1,1), (3,2,1), and (2,2,2)


So, calculate each partition, we get

(6 choose 4) + (6 choose 3)*(3 choose 2) + (6 choose 2) * (4 choose 2)

= 15 + 20*3 + 15*6

=165

5 0
2 years ago
How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
never [62]
There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
6 0
3 years ago
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