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Fittoniya [83]
3 years ago
6

Help please

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0
What’s the question??
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Given cos theta=4/9 and csc theta 0 find sin theta and tan theta
Korvikt [17]
The correct question is
<span>Given cos theta=4/9 and csc theta < 0 find sin theta and tan theta
</span>
we know that
csc theta=1/sin theta
if csc theta < 0
then 
sin theta < 0

we have that
<span>cos theta=4/9

we know that
sin</span>² theta+cos² theta=1
so
sin² theta=1-cos² theta-----> 1-(4/9)²----> 1-(16/81)----> 65/81
sin theta=-√(65/81)---->-√65/9

the answer Part a) is 
sin theta=-√65/9

Part b) find tan theta

tan theta=sin theta/cos theta
tan theta=(-√65/9)/(4/9)-----> tan theta=-√65/4

the answer part b) is
tan theta=-√65/4
5 0
3 years ago
Read 2 more answers
Two numbers rolled can be added to get a sum. Find P(sum is even.)
azamat
When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.
6 0
3 years ago
A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfill
ozzi

Answer:

d. The average is equal to 12 ounces.

Step-by-step explanation:

In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:

H_0:\mu=12\\H_a:\mu\neq 12

The correct alternative is d. The average is equal to 12 ounces.

5 0
3 years ago
What is the inverse of the function f(x) = 2x - 10?
ollegr [7]

Answer:

h(x) = x/2 + 5

Step-by-step explanation:

f(x) = 2x - 10

Step 1. Replace f(x) with y.

y = 2x - 10

Step 2. Switch variables x and y.

x = 2y - 10

Step 3. Solve for y.

2y - 10 = x

2y = x + 10

y = x/2 + 5

Step 4. Replace y with h(x)

h(x) = x/2 + 5

4 0
3 years ago
Read 2 more answers
Teil on ronulacr<br>6) Cassie bought 5 bags of chips for $4.90. What is her cost per bag?​
Oliga [24]
$4.90 divided by 5 is .98. The answer is 98 cents each
8 0
2 years ago
Read 2 more answers
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