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kirill115 [55]
3 years ago
11

The length of a rectangle is three times its width. If the perimeter is at most 128cm, what is the greatest possible value for t

he width?
Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

16 cm

Step-by-step explanation:

Let the width be x

The length will be 3 x since the length is three times the width

Perimeter=2(l+w) where l is length and w is width

By substituting 128 cm for perimeter, x for w and 3 x for l then

128=2(3x+x)

128=8x

x=\frac {128}{8}=16

Therefore, the width is 16 cm, the width is 16*3=48 cm

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Please help!! I have tried it on my own and I am stuck
elena55 [62]

Answer:

1. 23.59 feet

2. 32.9°

Step-by-step explanation:

1. See the diagram attached.

The man is 11 feet distance from the bottom of the tree.

And the angle of elevation from the man to the top of the tree is 65°.

Now, we need to approximate the height of the tree,

Using the trigonometry, we can write  

\tan 65^{\circ} = \frac{\textrm {Height of the Tree}}{\textrm {Base Distance}} = \frac{h}{11}

⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)

2. See the diagram attached.

From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.

And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.

Using trigonometry, we can write  

\cos \theta = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{21}{25}

⇒ \theta = \cos^{-1}(\frac{21}{25}) = 32.9^{\circ} (Answer)

8 0
2 years ago
How do I solve question 13 and 14?
xxMikexx [17]

Answer:

13. 13 or 17 (not sure about this, sorry)

14. 28

Step-by-step explanation:

13.

a_{n} = \{a_{0}, a_{1}, a_{2}, a_{3}, a_{4}, ... \} \\

if counting the sequence from a_{0} then a_{4} is 17, but if

a_{n} = \{a_{1}, a_{2}, a_{3}, a_{4}, a_{5}, ... \} \\

counting from a_{1}, then a_{4} is 13.

14.

a_{10} = 1 + 3(10 - 1) = 1 + 3*9 = 28

6 0
3 years ago
...........................
Arisa [49]

Answer:

B) b√a

Step-by-step explanation:

b√a

8 0
3 years ago
A researcher for an airline interviews all of the passengers on five randomly selected flights.
antoniya [11.8K]

Answer

Cluster sampling. See explanation below.

Step-by-step explanation:

For this case they not use random sampling since we are selecting people from flights. Because we select just 5 random flights.

Is not stratified sampling since we don't have strata clearly defined on this case, and other important thing is that in order to apply this method we need homogeneous strata groups and that's not satisfied on this case.

Is not convenience sampling because they NOT use a non probability method in order to select the people from the flights.

So then the only possible method is cluster sampling since we have clusters clearly defined (Passengers from the airlines), and we satisfy the condition of homogeneous characteristics on the clusters and an equal chance of being a part of the sample, since we are selecting RANDOMLY, the 5 flights to take the information.

6 0
3 years ago
Paul teaches math to five classes in sixth grade. He wants to measure the variation in the performances of students of each clas
lapo4ka [179]

Answer:

mean absolute deviation

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

6 0
3 years ago
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