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3 years ago

Nine increased by the product of a number and 2 is less than or equal to 27.

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

x≤9

Step-by-step explanation:

9+2x≤27

1) Subtract both sides by 9:

2x≤18

2) Divide both sides by 2:

x≤9

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If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?

blagie [28]

We need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees

7 0

2 years ago

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3.20 × 105 gallons of tar (SG = 1.20) is stored in a 20.0-ft tall storage tank. What is the total mass of the liquid in the tank

lilavasa [31]

Answer:

Mass of the liquid in the tank will be $1.45\times 10^8kg$

Step-by-step explanation:

We have given volume of tar $V=3.20\times 10^5gallon$

1 gallon = 3.785 liter

So $3.20\times 10^5gallon=3.20\times 10^{5}\times 3.785=12.112\times 10^5liter$

Specific gravity = 1.2

Density of water $=1000kg/m^3$

We know that specific gravity $=\frac{density\ of\ liquid}{density\ of\ water}$

$1.2=\frac{density\ of\ liquid}{density\ of\ water}$

Density of liquid $=1200kg/m^3$

So mass of liquid = volume × density

= $12.112\times 10^5\times 1200=1.45\times 10^8kg$

So mass of the liquid in the tank will be $1.45\times 10^8kg$

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3 years ago

Questions:

Nimfa-mama [501]

Bread - 3 choices
Meat - 5 choices
Veggies - 7 choices

1br 1mt 1vg = 3×5×7 = 105

1br 2mt 3 vg = 3×5×4×7×6×5 =12600

7vg 1br = 3×1 = 3

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3 years ago

In a recent semester at a local university, 490 students enrolled in both General Chemistry and Calculus I. Of these students, 6

posledela

I think its 149/ 490. Not sure, but pretty confident. Hope this helps.

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2 years ago

. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the

FromTheMoon [43]

Answer:

The smaller bottle holds 12.5 ml of perfume.

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

<h2>Given</h2>

Two bottles of similar shape;
Larger bottle has volume of 100 ml;
The length of larger bottle is 10 cm;
The length of smaller bottle is 5 cm.

The volume of smaller bottle.

<h2>Solution</h2>

Find the scale factor, the ratio of corresponding dimensions:

$k = 5/10 = 1/2$

We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:

$V_{small}/V_{large} = k^3\\$

Substitute the known values and find the volume of small bottle:

$V_{small}/100= (1/2)^3\\$
$V_{small}/100= 1/8$
$V_{small}= 1/8*100=12.5$

The smaller bottle holds 12.5 ml of perfume.

4 0

1 year ago

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