MATHEMATICS HIGH SCHOOL

Please help! :) 20 points

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Answer 1

Answer:

(a) The volume of the brick is 650 cubic centimeters (cm³), and the surface area is 490 square centimeters (cm²).

(b) The painter should base paint quantity on surface area (490 cm²).

(a) To find the volume and surface area of the rectangular prism-shaped brick, we can use the following formulas:

Volume (V) = Length × Width × Height

Surface Area (SA) = 2(LW + LH + WH)

Given the dimensions of the brick:

Length (L) = 13 cm

Width (W) = 5 cm

Height (H) = 10 cm

Now, let's calculate:

Volume (V) = 13 cm × 5 cm × 10 cm = 650 cubic centimeters (cm³)

Surface Area (SA) = 2(13 cm × 5 cm + 13 cm × 10 cm + 5 cm × 10 cm) = 2(65 cm² + 130 cm² + 50 cm²) = 2(245 cm²) = 490 square centimeters (cm²)

So, the volume of the brick is 650 cm³, and the surface area is 490 cm².

(b) The painter should consider the surface area to determine how much paint to buy. Surface area represents the total area that needs to be covered with paint. In this case, it's 490 cm². Buying paint based on the surface area ensures that there's enough paint to cover the entire exterior of the brick.

(c) To find the amount of concrete needed to make the brick, we would use the measure of volume (V). Concrete is typically sold and purchased by volume, and in this case, the volume of the brick is 650 cm³. So, to determine the amount of concrete required, we would use the volume measurement (650 cm³).

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Related Questions

a train traveled at an average speed of 45 miles per hour for 2 hours and 30 miles per hour for 3 hours. what is the total number of miles that the train traveled
If the population of a particular country is growing at 1.6% compounded continuously, how long will it take the population to triple? The population will triple in ______ years if it is growing at 1.6% compounded continuously. (Round up to the nearest year.)
Select the equivalent expression
Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?a.3x + 2y = 10 b.2y + 3x = 10 c.2x + 3y = 10
Please answer this question now

Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting.y = - 3x + 8
6x + 2y =1
Choose the correct answer below.
parallel
only intersecting
perpendicular
coinciding

Answers

Answer:

The lines are parallel

Final answer:

The two lines, y = -3x + 8 and 6x + 2y = 1, are parallel because they both have the same slope of -3.

Explanation:

To determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting, one must look at their slopes. The slope of a line in the form y = mx + b is given by 'm'.

If two lines have the same slope, they are parallel. If the product of their slopes is -1, they are perpendicular. If the lines have the same slope and same y-intercept, they coincide.

{p}The first line given is y = -3x + 8, so its slope is -3.

The second line, 6x + 2y = 1, needs to be rearranged into the form y = mx + b. If you subtract 6x from both sides and divide by 2, you get y = -3x + 0.5. Thus, the slope of the second line is -3 as well.

Since both lines have the same slope of -3, they are parallel.

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12.Last year, the average math SAT score for students at one school was 475. The headmaster then introduced a new teaching method hoping to improve scores. This year, the mean math SAT score for a sample of students was 491. The headmaster concluded that the new teaching method produces higher SAT scores. What is the problem with reporting results this way?

correlation and causality

voluntary response

missing data

loaded question

Answers

Last year, the average math SAT score for students at one school was 475. The headmaster then introduced a new teaching method hoping to improve scores. This year, the mean math SAT score for a sample of students was 491. The headmaster concluded that the new teaching method produces higher SAT scores. The problem with reporting results this way is voluntary response. The information of how the teaching method isnot mentioned.

Answer: voluntary response

I just took the test and got it right

When rolling two standard cubes (6-sided die), what is the probability that you roll sum of 11? Convert your answer to decimal form, then round to 3 decimal places

Answers

Answer:

Step-by-step explanation:

There are only two ways to roll a sum of 11 (5,6),(6,5) out of 36 possible outcomes so

P(11)=2/36=1/18

as a rounded decimal 0.056

The distance between 4 and 17 is _____

Answers

The distance between 4 and 17 is 13 units.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that the two numbers are 4 and 17.

The distance between 4 and 17 is calculated as below:-

To calculate the distance subtract the value 4 from the value 17.

Distance = 17 - 4 = 13 units.

Therefore, the distance between 4 and 17 is 13 units.

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Answer:

The answer is 13

Step-by-step explanation:

The distance between 4 and 17 is 13 because addition

What two numbers add to equal -12 and multiply to equal -28?

Answers

One thing before we start :)

AS you can see both numbers after equation have to be negative,
also we know that 2 same numbers have to add up to -12 and those 2 number after multiplication have to be equal -28

Some theory:

We know that any number which is not negative multiplied by negative will result in negative result, to make it more clear

$(+)*(-)=(-)$

but

$(-)*(-)=(+)$

we have 2 unknown numbers, let's say it's $x$ and $y$

$x+y=-12$
$x*y=-28$

for $x=2$
for $y=-14$

$2+(-14)=2-14=-12$
$(2)*(-14)=-28$

So your answer is 2 and -14 ;)

Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.