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notsponge [240]
3 years ago
8

Given: △FKL, FK= a m∠F=45°, m∠L=30° Find: FL

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.

The Law of Sines tells you

... FL/sin(∠K) = FK/sin(∠L)

Solving for FL, we get

... FL = FK·sin(∠K)/sin(∠L)

... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)

... FL = 2a·sin(105°) ≈ 1.93185a

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Drag each number to the correct location on the table. Not all numbers will be used.
VashaNatasha [74]

The table for the complete ratios between distance and time is shown below.

<h3>What is the Ratio of Distance to Time?</h3>

The ratio of distance to time, given that 280 miles will be covered in 4 hours is: 280/4 = 70 miles per hour.

Thus, for 2 hours: 2(70) = 140 miles distance.

For 350 miles, we would have: 350/70 = 5 hours time.

For 6 hours: 6(70) = 420 miles distance.

For 8 hours: 8(70) = 560 miles distance.

For 700 miles, we would have: 700/70 = 7 hours time.

The complete table is shown in the image below.

Learn more about ratios on:

brainly.com/question/13513438

#SPJ1

6 0
2 years ago
I have two fair dice, each numbered 1 to 6. I add the two numbers together. What is the probability that I get a total of 5
Lostsunrise [7]

Answer:

Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.

Step-by-step explanation:

For the odds of these two numbers coming up at the same time, you multiply the odds of one times the odds of the other. 5/6 × 1/6 = 5/36. So the odds that you'll roll 2 dice total six are 5/36 each time you roll ( or approximately 1 chance in 7).

5 0
4 years ago
The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be us
grin007 [14]

Answer:

The number of girls is at most 9 girls

y ≤ 9

Step-by-step explanation:

The chess clubcab have at most 36 members.

At most means : Less than or equal to 36 members and it is represented by the inequality = ≤

The are 3 times as many boys as girls in the chess club.

Boys = x

Girls = y

Hence,

x = 3y

Which inequality could be used to determine the possible number of girls, x, in the chess club?

Therefore,

x + y≤ 36

3y + y ≤ 36

4y ≤ 36

y ≤ 36/4

y ≤ 9

Girls = y

The number of girls is at most 9 girls

3 0
3 years ago
40k+36=? <br> ivbuivbr vpui34vb[ervb[uir3bv34
kobusy [5.1K]

Answer:

0

Step-by-step explanation:

40k =  - 36

k =  -  \frac{9}{10}

40( -  \frac{9}{10} ) + 36 = 0

- 36 + 36 = 0

4 0
3 years ago
Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an
vovangra [49]

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the  production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years

now, we can use formula

A=P(1+r)^t

here , r is interest rate

so, we can plug values

6.74=3.94(1+r)^{10}

now, we can solve for

\left(1+r\right)^{10}=\frac{337}{197}

r=0.05516

so,

the geometric mean annual percent increase is 5.516%............Answer

7 0
3 years ago
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