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rodikova [14]
2 years ago
11

If sin theta < 0 and tan theta > 0 then

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
7 0

If sin theta < 0 and tan theta > 0 as described in the task content, then, cos theta < 0 and 180<theta <270.

<h3>What is correct about angle theta as described?</h3>

From the task content, it was described that sin theta < 0 and tan theta > 0.

Upon recall of angle quadrants, it follows that only the 3rd quadrant angles have positive tan values and negative sin values. Hence, it follows that the angle theta is in the 3rd quadrant and also has cos theta < 0.

Read more on quadrants;

brainly.com/question/1548800

#SPJ1

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A rectangular gasoline tank can hold 49.0 kg of gasoline when full. what is the depth of the tank (in m) if it is 0.400 m wide b
Arturiano [62]
We know that

<span>ρ = density of gasoline = 737 kg/m³ (at T = 60°F = 15.6°C)
</span>ρ = m/V
ρV = m
V = m/ρ
V = 49.0 kg / 737 kg/m³
<span>V = 0.066 m³ 

[volume of the tank]=L*W*H-----> H=volume/[L*W]----> H=0.066/(0.9*0.4)
H=0.1833 m

the answer is
t</span><span>he depth of the tank is 0.18 m</span>


5 0
3 years ago
Suppose f is a continuous function on [-2, 2) such that
Leviafan [203]

Answer:

2. a and b only.

Step-by-step explanation:

We can check all of the given conditions to see which is true and which false.

a. f(c)=0 for some c in (-2,2).

According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.

b. the graph of f(-x)+x crosses the x-axis on (-2,2)

Let's test this condition, we will substitute x for the given values on the interval so we get:

f(-(-2))+(-2)

f(2)-2

-1-1=-3  lower limit

f(-2)+2

1+2=3 higher limit

according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.

c. f(c)<1 for all c in (-2,2)

even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.

The final answer is then 2. a and b only.

4 0
3 years ago
Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)
Gnom [1K]
<h3>10(n²+n)-6(n²+2)</h3><h3>10n²+10n-6n²-12</h3><h3>10n²-6n²+10n-12</h3><h3>4n²+10n-12</h3>

please mark this answer as brainlist

3 0
2 years ago
Please I need help on this question.
Juli2301 [7.4K]

Answer:

126mm

Step-by-step explanation:

To find the diameter of the circle = circumference divided by pi = 56.52/3.14=18mm.

There are 4 circles = 18mmx4=72mm

Add on the 3x strips = 72+(18x3) = 126mm.

Hope this helps

3 0
2 years ago
3<br> (<br> x<br> +<br> 7<br> )<br> &lt;<br> 7<br> (<br> x<br> +<br> 2<br> )
Gre4nikov [31]
3(x+7)<7(x+2)

Inequality Form: x>7/4
Interval Notation: (7/4, infinity)
5 0
3 years ago
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