MATHEMATICS HIGH SCHOOL

If the volume of a cube is 27 cubic meters, ﬁnd the surface area of the cube

Answers

Answer 1

Answer:

The formula for surface area of a cube is 6*e*e or 6e squared.

The formula for volume is e*e*e

The answer to your question would be 3 because 3*3*3 then 9*3=27

Answer 2

Answer:

Answer:

54square meters

Step-by-step explanation:

Volume of cube = a^3

27=a^3

a=∛27

a=3

Surface area of cube = 6a^2

Surface area=6*3^2

Surface area=6*9

surface area=54

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During harvesting season at Florida Blue Farms, hand pickerscollect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?

A (0.95h+200)(0.90+22000)

B 0.95(200h)+0.90(22000m)

C 200.95h+22000.90m

D (200h+0.95)(22000m+0.90)

Answers

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: $0.95(200h) + 0.90(22000m)$

Given that

$h \to$ days of hand pickers word

$m \to$ days harvester machine is used

$n_h = 200$ --- pounds of hand pickers

$n_m = 22000$ -- pounds of harvester

$r_h = 95\%$ -- pack out rate of hand pickers

$r_m = 90\%$ -- pack out rate of harvester

The expression to estimate the amount is calculated as:

$Amount = r_h * n_h + r_m * n_m$ --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate

So, we have:

$Amount = 95\% * 200h + 90\% * 22000m$

Express as decimal

$Amount = 0.95 * 200h + 0.90 * 22000m$

Rewrite as:

$Amount = 0.95(200h) + 0.90(22000m)$

Hence, option (b) is correct.

Read more about algebraic expression at:

brainly.com/question/953809

Step-by-step explanation:

its b..........

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what is the exact value of sin 22.5 degrees using the sum, difference, half, or double angle formulas and the exact value chart in the solution.

Answers

$cos 2x=1-2sin^2x \n cos 45^0=1-2sin^2(22,5)^0 \n ( √(2) )/(2) =1-2sin^2(22,5)^0 \to sin(22,5)^0= \frac{ \sqrt{2- √(2) } }{2}$

Esther starts at one corner of a square field and walks 90 feet along one side to another corner of the field. She turns 90° and walks 70 feet, and then walks straight back to where she started. What is the area of the part of the field she walked around?a. 3150 ft²
b. 4900 ft²
c. 6300 ft²
d. 8100 ft²

Answers

Since it is a square field and she walked from one corner to another, each side of the square filed is 90 feet.
Since she walked 70 feet and then straight back to where she started, she has formed a triangle, the legs are 90 and 70 and the hypotenuse (the distance back to the start) is not needed to solve this problem.
So we have a triangle whose length is 90 and whose height is 70
A = $(1)/(2)$ bh or in this case $(1)/(2)$ (90) x (70) or 1/2 of 6300. Answer a. 3150 ft² is half of 6300 and is the correct answer

Each face of cabinet 413s is in the shape of a rectangle. What is the volume of model 413s in cubic feet

Answers

Hopefully this is the question you are talking about!
They want us to find the volume of model 413S in ft³
This isnt tough!
change the side measurements from Inches to Feet
12 in = 1 ft

so therefore:
24 in = 2 ft
72 in = 6 ft
18 in = 1.5 ft

Volume of a cuboid is:
Area of base × height of cuboid
V = 2 ft × 6 ft ×1.5 ft
= 18 ft³
Volume of the cabinet (Model 413S) is 18 ft³

Each side of the model of 413s is rectangular shaped.
So, by this statement we got to know that the model is in cuboid shape.
Hence, its volume will be (length×width×height) cubic feet.

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Answers

Answer:

Step-by-step explanation: hope this helps

How to find length of a triangle given one side and angle

Answers

Answer:

Use trigonometric ratio

Step-by-step explanation:

Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle

To solve for one of the two unknown lengths, use trigonometric ratio

There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)

Sine of the angle given = opposite side ÷ hypotenuse side

Cosine of the angle given = adjacent side ÷ hypotenuse side

Tangent of the angle given = opposite side ÷ adjacent side

Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal

To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given

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