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finlep [7]
3 years ago
13

Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15. (5 points)

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0

Answer:

10

Step-by-step explanation:2(10) -5

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PLEASE WILL GIVE 50 POINTS PLEASE ANSWER ​
leva [86]

Answer:

AB = 75

BC = 60

AC = 45

m∠A = 53°

m∠B = 37°

m∠C = 90°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

\sf \tan(A)=\dfrac{60}{45}

Therefore:

  • side opposite angle A = BC = 60
  • side adjacent angle A = AC = 45

To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AC² + BC² = AB²

⇒ 45² + 60² = AB²

⇒ AB² = 5625

⇒ AB = √5625

⇒ AB = 75

To find m∠A:

\implies\sf \tan(A)=\dfrac{60}{45}

\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)

\implies\sf A=53^{\circ}\:(nearest\:degree)

m∠C = 90° (as it is a right angle)

The interior angles of a triangle sum to 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 53° + m∠B + 90° = 180°

⇒ m∠B = 180° - 53° - 90°

⇒ m∠B = 37°

4 0
2 years ago
The radius of Earth is about 3,980 miles. What expression can be used to find the approximate diameter of Earth?
Tatiana [17]
To find the diameter, you use the formula: 2x. we use 2x because the radius is 2 times the diameter.

so, if the radius is 3,980, then we substitute that into the formula.

2(3,980)

this will give us 7960. the diameter is 7960 miles.
3 0
2 years ago
What is the y-value of the point of intersection of y=2sinx-cosx and y=cosx over the interval 0≤x≤pi/2 ? a. 0 b. (square root of
horsena [70]
We have that

<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57

using a graph tool
see the attached figure

the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2

the answer is the option 
<span>b. (square root of 2)/2</span>

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3 years ago
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A pony, tied to the end of a lead, can walk in a full circle, a distance of 56.55 meters. About how long is its lead?
sergejj [24]
B is the correct answer
4 0
3 years ago
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The 200$ camera was on sale 15% off what was the price
Flauer [41]
Answer: $170
15% off 100 is $15 x2 is 30
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