Answer:
7.)
Therefore FT is 33 unit.
8.)
Therefore SU is 98 unit.
Step-by-step explanation:
7.)
Given:
ΔFUT ~ ΔFHG
FU = 39
FH = 130
FG = 110
To Find:
FT = ?
Solution:
ΔFUT ~ ΔFHG ............Given
If two triangles are similar then their sides are in proportion.
Substituting the values we get
Therefore FT is 33 unit.
8.)
Given:
ΔSTU ~ ΔFED
ST= 63
FE = 9
FD = 14
To Find:
SU = ?
Solution:
ΔSTU ~ ΔFED ............Given
If two triangles are similar then their sides are in proportion.
Substituting the values we get
Therefore SU is 98 unit.
Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
Answer:
N*B*x/100
Step-by-step explanation:
To determine an equation of the total number of dollars, it is necessary to review the variables that influence
The most important, N that would be the number of shares of A.
The other variable is B, since it would be the price of the shares that were purchased.
Lastly, we have x, since he originally had was A's shares, therefore his increase occurred in A's shares, that is, x.
Therefore, the equation would be:
N * B * x / 100
It is divided by 100 since x is a percentage.
{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}
SEQUENCE: 6, 18, 54, 162
18/6 = 3
54/18 = 3
162/54 = 3
then, r (common ratio) = 3
_________________________________________
RECURSIVE RULE: r = 3
an = a(n - 1) × r [formula]
ANSWER: an = a(n - 1) × 3
_________________________________________
ITERIATIVE RULE: r = 3, a1 = 6
an = a1 × r^(n - 1) [formula] [ ^(n-1) is an exponent]
ANSWER: an = 6 × 3^(n - 1)
The answer is a.0.32 km.
The speed that a tsunami can travel is modeled by the equation is s = 356√d.
It is given:
s = 200 km/h
d = ?
Now, let's substitute s in the equation and find d:
s = 356√d
200 = 356√d
√d = 200 ÷ 356
√d = 0.562
Now, let's square both sides of the equation:
(√d)² = (0.562)²
d = (0.562)² = 0.316 ≈ 0.32
Therefore, <span> the approximate depth (d) of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.</span>
