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photoshop1234 [79]
3 years ago
9

Triangles FIM and LAK below are similar, with mZF =

Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer:

LA = 8

Step-by-step explanation:

Since ∆FIM ~ ∆LAK, therefore, the ratio of their corresponding sides are equal.

Thus:

FI/LA = FM/LK

FI = 4

LA = ?

FM = 6

LK = 12

Plug in the values

4/LA = 6/12

4/LA = 1/2

Cross multiply

LA*1 = 2*4

LA = 8

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3 years ago
Convert 80 km per hour and 120 km per hour to meters per second​
Burka [1]

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

\large \bold {ANSWER}

  • \large \boxed { \large \sf \green{ 80 km/h = 22.22 m/s }}
  • \large \boxed { \large \sf \green{ 120 km/h = 33.33 m/s }}

\large \bold {SOLUTION}

The first thing we must do is convert kilometers to meters. We will do this by multiplying by 1,000, since 1 km corresponds to 1,000 meters.

  • 80*1000 = 80,000
  • 120*1000 = 120,000

Now that we've done that, let's divide the values by 3,600, because an hour is 60 minutes, and each minute is 60 seconds, so 60*60 is 3,600.

\frac{80.0\not0\not0}{3.6\not0\not0}=22.22

\frac{120.0\not0\not0}{3.6\not0\not0}=33.33

Hence, 80 km/h = 22.22 m/s, 120 km/h = 33.33 m/s

8 0
2 years ago
Read 2 more answers
The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E
nexus9112 [7]

Answer:

The projected enrollment is \lim_{t \to \infty} E(t)=10,000

Step-by-step explanation:

Consider the provided projected rate.

E'(t) = 12000(t + 9)^{\frac{-3}{2}}

Integrate the above function.

E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt

E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c

2000=-\frac{24000}{3}+c

2000=-8000+c

c=10,000

Therefore, E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

Now we need to find \lim_{t \to \infty} E(t)

\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

\lim_{t \to \infty} E(t)=10,000

Hence, the projected enrollment is \lim_{t \to \infty} E(t)=10,000

8 0
3 years ago
Having a hard time with this
raketka [301]

Answer:

the correct answer is D

Step-by-step explanation:

because the -9 5/8 is in absolute value marks.

6 0
3 years ago
(36÷6)÷3=36÷(6÷3) true or false​
Jlenok [28]

Answer:

False

Step-by-step explanation:

The left side  2  does not equal to the right side  18 , which means that the given statement is false.

4 0
3 years ago
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