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nataly862011 [7]
3 years ago
12

12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant

Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:

Quadrant 2

Step-by-step explanation:

Sin = opp/hyp and opp is positive in quadrants 1 & 2.

Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.

Quadrant 2 is found in both of the scenarios that we need to occur.

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The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of
nalin [4]

A = l × w. Substitute 72 into A and fill in the rest of the equation.

w = l - 1. Plug l - 1 into w

72 = l × (l - 1). Multiply l by (l - 1)

72 = l^2 - l. Subtract 72 from each side.

0 = l^2 - l - 72. Factor.

0 = (l + 8) (l - 9). Set each term equal to zero.

(l + 8) = 0. Subtract 8 from each side.

l = -8. Length cant be a negative number so let's try the other term.

(l - 9) = 0. Add 9 to each side.

l = 9. The length is 9.

Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.

The width is 8 units.

8 0
3 years ago
Please answer the top one <br> x y <br> 4 8<br> 5 9<br> 8 12 <br> 10 14 <br> y=
ser-zykov [4K]
The equation is y=1x+4
3 0
2 years ago
When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is f
valkas [14]

Answer:

The new pressure of the gas is 42 pounds per square inches.

Step-by-step explanation:

When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.

V\propto \frac{1}{P}

We can rewrite the above equation is

\frac{V_1}{V_2}=\frac{P_2}{P_1}  [at constant temperature]

At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.

The volume of the gas is decreased to 31 cubic inches.

Here,

V_1= 93 cubic inches, P_1 = 14 pounds per square inches,

V_2=31 cubic inches, P_2 = ?

\frac{V_1}{V_2}=\frac{P_2}{P_1}

\Rightarrow \frac{93}{31}=\frac{P_2}{14}

\Rightarrow \frac{P_2}{14}=\frac{93}{31}

\Rightarrow {P_2}=\frac{93}{31}\times 14

\Rightarrow {P_2}=42 pounds per square inches

The new pressure of the gas is 42 pounds per square inches.

4 0
3 years ago
Difference in elevation between mount Everest and Dead sea
Snowcat [4.5K]

The difference is 27, 735 ft


5 0
3 years ago
Read 2 more answers
Find the gcf of 200 and 72
Aleks04 [339]

To get the Greates Common Factor (GCF) of 72 and 200 we need to factor each value first and then we choose all the copies of factors and multiply them:

<span><span>72:   22233  </span><span>200:   222  55</span><span>GCF:   222    </span></span>

The Greatest Common Factor (GCF) is:   2 x 2 x 2 = 8

Answer: 8
3 0
3 years ago
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