Answer:
x=147
Step-by-step explanation:
I did the math also hope this helps^w^
Answer:
1) Option B is correct.
The inverse of the function, T⁻¹(x), represents the The height above the surface (in kilometers) when the temperature is x degrees Celsius.
2) T⁻¹(x) = 12.2 - 0.4x
3) T⁻¹(15) = 6.2 m
Step-by-step explanation:
1) The inverse of a function is a function that reverses the effects of the original function on the variable that determines the original function's value.
T(h) = 30.5 - 2.5h
The original function takes the height in kilometres and converts it to temperature at that point in degree Celsius, So, the inverse function will take the temperature in degree Celsius and produce the corresponding height in kilometres.
So, it is the The height above the surface (in kilometers) when the temperature is x degrees Celsius.
The inverse functuon is given as T⁻¹ (x)
2) To obtain T⁻¹(x)
T(h) = 30.5 - 2.5h
We make h the subject of formula
2.5h = 30.5 - T
h = (30.5 - T)/2.5
h = 12.2 - 0.4T
T⁻¹(x) = 12.2 - 0.4x
3) T⁻¹(x) = 12.2 - 0.4x
when x = 15°C
T⁻¹(15) = 12.2 - 0.4(15) = 6.2 m
Answer:
11610
Step-by-step explanation:
First you do the top rectangle which the area for that is 144 which is 4 times 4 times 3 times 3.
Then you do the middle rectangle which the area is 441 which is 7 times 7 times 3 times 3.
Then you do the last rectangle which the area is 11025 which is 15 times 15 times 7 times 7.
Then lastly you add all three areas which is 144+441+11025=11610. So therefore, the answer is 11610.
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.
2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ;
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180</span>°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
I think it’s the one in the top right? cuz the negative would cancel out the 3x then u would have the 7x • 7x aka 7x to the second power
