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Setler [38]
2 years ago
11

Find sec θ if θ is in Quadrant IV and sinθ=-1/5

Mathematics
2 answers:
mr_godi [17]2 years ago
7 0
We know that
sec θ=1/cosθ
 if θ is in Quadrant IV--------------> sec θ  is positive, because the cosθ is positive
<span>sinθ=-1/5
</span>sin²θ+cos²θ=1--------------> cos²θ=1-sin²θ-----------> 1-(1/5)²=24/5
cosθ=√(24/5)----> 2√6/√5
secθ=1/cosθ--------> 1/(2√6/√5)---------> √5/(2√6)=√30/12

the answer is secθ=√30/12
Lina20 [59]2 years ago
5 0

Answer:

i got the answer 5(sqrt6)/12

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Fred wants to find 48+34 using compensation.He says you can take 2 from 34 and give it to 48 to make 50.What is the sum?Explain
Montano1993 [528]
It is easier to add 50 to a number than 48 because 50 has a zero in it which makes an addition simpler.

48 + 34 =     borrow 2 from 34 and add to 48

= 50 + 32      50 + 32 is 82

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6 0
1 year ago
Using the side-splitter theorem, which segment length would complete the proportion?
tia_tia [17]

we know that

<u>The Side-Splitter Theorem</u>: States that If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally

so

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\frac{GH}{HE} =\frac{GJ}{JF}

therefore

<u>the answer is</u>

The segment length is GJ

5 0
2 years ago
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Max wrote the number 0.785. After multiplying his number by a power of 10, he arrived at the number 7,850.0. What power of 10 di
kondaur [170]

Answer:

10 to the 4th power

Step-by-step explanation:

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6 0
1 year ago
For which function does f decrease by 15% every time x increases by 1
LenaWriter [7]

Answer:

f(x) = 0.85^{x}

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

f(x) =  {(1 - 0.15)}^{x}

We simplify the parenthesis to get:

f(x) = 0.85^{x}

Therefore the decrease by 15% every time x increases by 1 is

f(x) =  {0.85}^{x}

The second choice is correct.

7 0
2 years ago
During the summer months the water level in Marta's pool decreases by about 1/2 inch each day due to evaporation. Which equation
larisa86 [58]

Answer:

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Step-by-step explanation:

If the water level decreases by 1/2 inch each day, the change in the water level in one day is -1/2 inch.

So, after t days, the total change in the water level can be calculated as:

Total change = -(1/2) * t inches

So, after 30 summer days, the total change is:

Change = -(1/2) * 30 = -15 inches

So the water level of the pool after 30 summer days has decreased by 15 inches.

8 0
2 years ago
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