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qwelly [4]
3 years ago
15

Trig With Picture ASAP

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0

Answer:

18

Step-by-step explanation:

V=a^3

a=∛1000=10

volume=1000 cm^3=10*10*10

one side =10 cm

to find the measure of AB (the diagonal)=10√3 =17.32

the smallest dispenser has to be greater than 17.32

the smallest amount is 18

maxonik [38]3 years ago
8 0
The answer is 18 ^^^^
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Do using Pythagoras theorem... Also before doing a question of height and distance always try to make the figure

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Use the two triangles ABC and ABD to first get the base and find the height of the ladder

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Find the median<br> 45. 28 37 30 42 44 35 40
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Answer:

Step-by-step explanation:

The median means the number in the middle, I look at the word median and think mid! So by ordering the numbers from highest to lowest you cross one off from each end back and forth! So you cross off 45, then 28, 44 then 30, 42 then 35 leaving one last number 40!! That is your median :)

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HELP!!! Cheryl writes 7 fewer posts than Kevin on a social media site. Answer the questions to write an algebraic expression. Th
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2 years ago
What are the domain and range of the function f(x)= square rootx-7+9?
FinnZ [79.3K]

Answer:

Domain: [7, ∞)

Range: [9, ∞)

Step-by-step explanation:

1) This question may be easily answered if you are aware of the shape of the graph of sq. root x, and the effect of translations to graphs.

1. x - 7 means that the original graph is translated 7 units in the positive direction of the x-axis (ie. to the right), thus the minimum value for x is also shifted from 0 to 7

2. the + 9 means that the graph is translated 9 units in the positive direction of the y-axis (ie. up), thus the minimum y-value is also shifted from 0 to 9

3. We know that the graph will continue to infinity, both in the x- and y-direction

Thus, the domain would be [7, ∞) and the range [9, ∞)

2) Another way to think about it is to ask yourself when it would make sense for the graph to exist. For this, we must consider that you cannot take the square root of a negative number.

Thus, if we have the square root of (x - 7), for what value of x would (x - 7) be negative? If x = 7:

x - 7 = 7 - 7 = 0

Therefor, any x-value less than 7 will lead to a negative answer, which wouldn't be practical. Any value equal to or greater than 7 will lead to a positive answer, thus the permissible values for x are from 7 to infinity, and so the domain is [7, ∞) (note that square brackets are used for 7 as it is included in the domain, whereas infinity is always closed with round brackets).

If we have already found the domain, then we can simply substitute the values for this into the equation to obtain the range (note that this will work for a square root function, however some functions will have turning points and in this case you must calculate the range based on the turning points as well as the minimum and maximum x-values):

if x = 7: y = sq. root (7-7) + 9

= 9

This is the minimum value for y

if we have x = ∞, then the y value will also be infinitely great, therefor the maximum y-value is also ∞. Thus, the range is [9, ∞).

These questions are much easier to solve however if you are already aware of the basic graph and the effect of dilations, translations and reflections so that you may visualise it better.

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3 years ago
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