Answer:
2/3
Step-by-step explanation:
Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3
9514 1404 393
Answer:
F. 30·tan(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between the opposite and adjacent sides in a right triangle.
Tan = Opposite/Adjacent
tan(52°) = BD/DL
BD = DL·tan(52°)
The boat-to-dock distance is ...
30·tan(52°) . . . . matches F
Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
Hey there!
In a rhombus, opposite angles are congruent. This means that 2y is equal to y+34. Let's set up an equation to solve for y.
2y=y+34
We subtract y from both sides.
y=34
Therefore, y=34°
I hope that this helps! Have a wonderful day!
Answer:
If the sine of an angle equals to {2}/{5}, then the tangent of the angle could be:
<em>5.
</em>
Step-by-step explanation:
- The sine of an angle is equal to the length of the opposite leg over the hypotenuse.
- <em>HINT: SOHCAHTOA</em>
<u>To find the adjacent leg (a): </u>
Using the pythagorean theorem: 
- <em>a </em>and <em>b</em> are the lenght of the sides and <em>c </em>is the hypotenuse
we know one side and the hypotenuse. Therefore plugging into the formula we get:

where <em>a</em> is the adjacent leg of the triangle, solving for a we get:



<u>To find the tangent of the angle: </u>
Since tangent is opposite leg over the adjacent leg:
tan θ = 