<h2>
The Pythagorean Theorem</h2>
The Pythagorean Theorem:
- <em>a</em> and <em>b</em> are the two legs in a right triangle
- <em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
- <em>*keep in mind that this theorem applies only to right triangles</em>
<h2>Solving the Question</h2>
We're given:
- Legs = 9 units and 12 units
- Hypotenuse = <em>c</em>
<em />
Plug these measurements into the Pythagorean theorem:
⇒ Combine like terms:
<h2>Answer</h2>
<u>Answer: </u><em><u>h=80 is the final answer. *The answer must be have a positive sign.*</u></em>
Explanation:
<em><u>Switch sides of an equation.</u></em>
<em><u>3/4h=60</u></em>
<em><u>multiply by 4 both sides of an equation.</u></em>
<em><u>4*3/4h=60*4</u></em>
<em><u>simplify.</u></em>
<em><u>3h=240</u></em>
<em><u>divide by 3 both sides of an equation.</u></em>
<em><u>3h/3=240/3</u></em>
<em><u>simplify.</u></em>
<em><u>240/3=80</u></em>
<em><u>80*3=240</u></em>
<em><u>3*80=240</u></em>
<em><u>240/80=3</u></em>
<em><u>h=80</u></em>
<em><u>Hope this helps!</u></em>
<em><u>Thanks!</u></em>
<em><u>Have a great day!</u></em>
Answer:
x = 60°
Step-by-step explanation:
It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,
mAB◠ = 60∘
mBC◠ = 3 (60∘) = 180∘
If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.
x = 1/2 (mBC◠ − mAB◠)
Substitute the known values into the formula.
x = 1/2 (180∘ − 60∘)
= 1/2 (120∘)
= 60∘
Therefore, x = 60∘.
Answer:
1663
Step-by-step explanation:
F = ma
the question said, F and M both are doubled ,so,
2F =2ma
but you can see the result is same !!
so acceleration doesn't change !! so final acceleration is also 2.2 !!