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viktelen [127]
1 year ago
11

Jessica picks tomatoes in her garden. She fills several bags. This line plot shows the weight of each bag

Mathematics
1 answer:
MAXImum [283]1 year ago
4 0

Given:

one of the heaviest bags weigh:

=\text{  4}\frac{1}{2}\text{ lb}

One of the lightest bag weigh:

=\text{ 3}\frac{1}{4}\text{ lb}

Next, we take the difference in the weights:

\begin{gathered} =\text{ 4}\frac{1}{2}\text{ - 3}\frac{1}{4} \\ \text{= }\frac{9}{2}\text{ - }\frac{13}{4} \\ =\text{ }\frac{18-13}{4} \\ =\text{ }\frac{5}{4} \\ =\text{ 1}\frac{1}{4}\text{ lb} \end{gathered}

Answer:

=\text{ 1}\frac{1}{4}\text{ lb}

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Please help me solve this exercise.!!
Volgvan
<h3>Answer:  -4/3</h3>

=============================================================

Explanation:

Let's square both sides and do a bit of algebra to get the following.

\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\

which is the same as solving

\tan(2x) = \frac{2w}{1-w^2}\\\\

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

8 0
3 years ago
A camp counsellor is fencing off a rectangular play area for the younger campers.
seropon [69]

Answer:

Step-by-step explanation:

a) if she had 16 m of fencing

all possible outcomes

4 by 4

2 by 6  

1 by 7

the greatest should be 4 by4

b) she could alter it to 2 by 6

4 0
2 years ago
a study shows that 70 out of 200 college students read the newspaper. Marysville college has 12600 students. based on the study
Leviafan [203]
12600(7/20)=4410 students
3 0
3 years ago
Read 2 more answers
PLEASE HELP
Leto [7]

Answer:

DA = 285.7 m

Step-by-step explanation:

First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:

AB^2 = BC^2 + AC^2

AB^2 = 300^2 + 400^2

AB^2 = 25000

AB = 500 m

We can find the angle ABC with the tangent relation:

tangent(ABC) = 400/300 = 4/3

ABC = 53.13°

From triangle ABC, we have:

ABC + BCA + CAB = 180°

53.13 + 90 + CAB = 180

CAB = 36.87°

From triangle DAC, we have:

DAC + ACD + CDA = 180

36.87 + 45 + CDA = 180

CDA = 98.13°

Now to find the side of DA, we can use law of sines in triangle DAC:

DA/sin(DCA) = AC/sin(CDA)

DA/sin(45) = 400/sin(98.13)

DA = 400 * 0.7071 / 0.9899 = 285.7258 m

Rounding to nearest tenth, we have DA = 285.7 m

3 0
3 years ago
What is 423.408 rounded to the neatest hundredth
xeze [42]
The hundredth is the second decimal place. You know the rounding rules are where you look at the previous place and if it's 5 or above the number place your rounding to goes up. So the answer is 423.41
4 0
3 years ago
Read 2 more answers
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