Answer:
B. 22
Step-by-step explanation:
We know tan60=
Let common side be x
Tan = opp/adj= sqrt(3)
Transposing we get :
Now, we know that since the other triangle is a 45-45-90 triangle, we can state that the side adjacent to the given angle = 11 sqrt(2) as the two sides are equal due to the triangle being an isoceles triangle.
Solve for x by using Pythagorean theorem:
Hence answer is B. 22
Answer:
is the c a typo? i do not understand
Step-by-step explanation:
Answer:
[C] 25π square inches
Step-by-step explanation:
<u><em>Given that:</em></u>
<em>the long hand of the clock is about 5 inches long.</em>
<u><em>To Find:</em></u>
<em>What is the approximate area of the clock face?</em>
<u><em>Solve:</em></u>
<em>Formula - </em><em>A =πr²</em>
<em>Note that;</em>
<em>π = 3.14 (about)</em>
<em>Radius - 5 inches</em>
<em>A =πr²</em>
<em>A = 3.14(5)²</em>
<em>A = 3.14(25)</em>
<em>A = 78.5</em>
<em>Now let see the answer choices:</em>
<em>A. 5π square inches ≈ 5(3.14) = 15.7</em>
<em>B. 10 π square inches ≈ 10(3.14) = 31.4</em>
<em>C. 25 π square inches ≈ 25(3.14) = 78.5</em>
<em>D. 100 π square inches ≈ 100(3.14) = 314</em>
<em />
<em>Hence, the answer is [C] 25 π square inches </em>
<em />
<u><em>Kavinsky~</em></u>
Answer:
x =48.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin x = 54 /72
Taking the inverse sin of each side
sin ^ -1( sin x) =sin ^-1 ( 54/72)
x = 48.59037789
To the nearest tenth
x =48.6
Answer:
2√65
Step-by-step explanation:
The difference in the x-coordinates of the two points is 8-(-6) = 14.
The difference in the y-coordinates of the two points is 10-2 = 8.
These distances can be considered to be the lengths of the legs of a right triangle whose hypotenuse is the line segment between the given points. Then the distance between the points is given by the Pythagorean Theorem as ...
... d = √(14² +8²) = √260 = 2√65 ≈ 16.1245
