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3 years ago

6

In the triangle below, what is the length of the side opposite the 60° angle?

1 answer:

Andrews [41]3 years ago

7 0

Step-by-step explanation:

$\tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3}$

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Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in packages of 4 and lizard lures in p

tatuchka [14]

Answer:

Marion bought 6 frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let $f$ represent frog lures and $l$ represent lizard lures.

The total packages Marion bought is

$f+l=14...eqn1$

If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

$4f+6l=72...eqn2$

We make $f$ the subject in equation 1 and put it into equation 2 to get;

$f=14-l...eqn3$

We put equation 3 into equation 2 to get;

$4(14-l)+6l=72$

$\Righttarrow 2(14-l)+3l=36$

We expand the bracket to get;

$28-2l+3l=36$

$-2l+3l=36-28$

$l=8$

We put $l=8$ into equation 3 to get;

$f=14-8$

$f=6$

Therefore Marion bought 6 frog lures and 8 lizard fishing lures.

6 0

2 years ago

Simone wrote that 2+5.8=6.

hjlf

1+5.8= 6.8
0.2+5.8=6

5 0

2 years ago

Read 2 more answers

The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Fin

NISA [10]

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, $\mu=8.04 g$

Standard deviation, $\sigma=0.08g$

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of machine components

$P(Xx_2)=0.03$

$P(X$

=0.03

From z- table we get

$P(Z1.88)=0.03$

Therefore, we get

$\frac{x_1-8.04}{0.08}=-1.88$

$x_1-8.04=-1.88\times 0.08$

$x_1=-1.88\times 0.08+8.04$

$x_1=7.8896$

$\frac{x_2-8.04}{0.08}=1.88$

$x_2=1.88\times 0.08+8.04$

$x_2=8.1904$

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

5 0

2 years ago

Tony fills his car with gas. His tank holds 14.0 gallons of gas. He pumps 8.37 gallons into the tank. If his car averages 27.6 m

shutvik [7]

Answer:

5 miles

Step-by-step explanation:

14 - 8.37 means his car still had 5.63 gallons

27.6/5.63 = 4.9

7 0

2 years ago

Sue scored a total of 35 points in 2 games she scored 6 X as many points in the second game as the first time how many points di

faust18 [17]

Answer:

1x+6x=35 7x=35 x=35 divided by 7 x=5 first game 5x6=30 second

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers