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SSSSS [86.1K]
3 years ago
15

The width of a desk is 25 inches, or 63.5 centimeters. If a measurement in inches varies directly with a measurement in centimet

ers, what is the length, in centimeters, of a notebook that is 11 inches long? Round your answer to the nearest hundredth, if necessary.
Mathematics
2 answers:
Vladimir [108]3 years ago
6 0
The answer to this is 27.94. I think....

Andrei [34K]3 years ago
3 0

Answer:  Length of notebook in centimeters is 27.94 cm.

Step-by-step explanation:

Since we have given that

The width of a desk = 25 inches

There is given that 25 inches = 63.5 centimeters

As we have given that the measurement in inches varies directly with a measurement in centimeters.

So, we have mention that

If length of notebook  = 11 inches

Let the length of notebook in centimeters be 'x'.

According to question, it becomes,

\frac{25}{63.5}=\frac{11}{x}\\\\25\times x=11\times 63.5\\\\x=\frac{698.5}{25}\\\\x=27.94\ cm

Hence, Length of notebook in centimeters is 27.94 cm.

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if you paid $12000 for stock that was $ 8 per share and then sold all shares for 15000 how much profit did you make ?
quester [9]
You would have a profit of $3,000
4 0
2 years ago
Read 2 more answers
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
inessss [21]
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.
7 0
3 years ago
if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each sh
Elina [12.6K]

Answer:

<u>30 gallons solution 4% and 10 gallons solution 8%</u>

Step-by-step explanation:

<h3>x•4%+y•8%=40•5% </h3>

<em><u>4x+8y=40•5 and x+y=40</u></em>

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)

=> x=40-10=30 (gallons solution 4%)

30 gallons solution 4% and 10 gallons solution 8%

5 0
2 years ago
URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE IN LESS THAN 12 MINS
Anettt [7]

Answer:

28.26m^2 (aka. 28.26 meters squared)

Step-by-step explanation:

The area of a circle is A=pi*r^2 where r is the radius of the circle.

Since r=3, then A=pi*3^2=9pi=28.26

Therefore, the area of the merry-go-round is 28.26 square meters

6 0
2 years ago
PLEASE HELP!!
PSYCHO15rus [73]

<u><em>Answer:</em></u>

The bird is approximately 9 ft high up in the tree

<u><em>Explanation:</em></u>

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

<u>Therefore, we can apply special trigonometric functions</u>

<u>These functions are as follows:</u>

sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}

<u>Now, taking a look at our diagram, we can note the following:</u>

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the <u>tan function</u>

<u>This is done as follows:</u>

tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft which is 9 ft approximated to the nearest ft

Hope this helps :)

5 0
3 years ago
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