MATHEMATICS HIGH SCHOOL

Find the surface area of the cylinder formed by the net. Use 3.14 for π.

Answers

Answer 1

Answer:

Answer:

138.23

Step-by-step explanation:

2·π·4·1.5+2·π·42
estimated to 138.23

Answer 2

Answer:

Answer:17.27

Step-by-step explanation: add subtract and multiply.

Related Questions

Please someone help me with this, it’s due today
Please help . Easy 7th grade work , I’ll give brainliest
Write the equation of the line in slope-intercept form that has: slope: -1 point: (2, -3) *
Jillian ran 40 miles in one week. Her friend Lacey ran the distance that Jillian ran. How many miles did Lacey run? Express your answer in simplest form.
Choose the equation of the horizontal line that passes through the point (1, -5). A.y = -5 B.x = 1 C.y = 1 D.x = -5

Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.Two lines that intersect at right angles are perpendicular.
The statement is not reversible.
Yes; if two lines intersect at right angles, then they are perpendicular.
Yes; if two lines are perpendicular, then they intersect at right angles.
Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Answers

The correct answer is:

Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Explanation:

If two lines intersect at right angles, they are by definition perpendicular.

If two lines are perpendicular, they, by definition intersect at right angles.

This means that two lines are perpendicular if and only if they intersect at right angles.

Final answer:

The definition of perpendicular lines is indeed reversible and can be expressed as a biconditional statement: 'Two lines intersect at right angles if and only if they are perpendicular'. Each condition functions as both a necessary and sufficient condition for the other.

Explanation:

Yes, the definition of perpendicular lines is reversible. This can indeed be expressed as a true biconditional statement. A biconditional statement is one in which each condition is necessary and sufficient for the other, or in simpler words, both conditions imply each other. In context, this biconditional statement would be: Two lines intersect at right angles if and only if they are perpendicular.

Here's how it works: If two lines are intersecting at right angles, by definition, they are perpendicular. Conversely, if two lines are perpendicular, they would necessarily intersect at right angles. Therefore, each condition is both a necessary and sufficient condition for the other, hence it's a true biconditional statement.

The concept of perpendicularity is crucial in various areas of mathematics, including geometry and trigonometry as it helps in understanding the spatial relationships between different lines and shapes.

Learn more about Perpendicular Lines here:

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Kris bought a new fur coat for $8,000. She must pay 5% sales tax and 7% excise tax. The furrier is shipping the coat so kris must also pay a $15 insurance charge. What is the total purchase price of the coat?

Answers

0.05 x 8000 = 400
0.07 x 8000 = 560
8000 + 560 + 400 = 8960
8960 +15 = 8,975
Total Price = $8,975

Well, first we have to find out what 5% and 7% of 8,000 is and then add the three numbers up.
.05*8,000=400
.07*8,000=560
400+560+8,000=8960
And finally, we add that extra fee.
8960+15=$8,975
Hope it Helps!!! :)

GEOMETRY. PLEASE CHECK MY ANSWER! THANKS.Mario’s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10 vertices. How many edges did the gemstone have?

A. 23 edges
B. 22 edges
C. 25 edges
D. 20 edges****

Answers

I'd solved it in the pic, and the answer is D. 20

This is simple.
we should have a knowledge of the Euler's Theorem/Euler's Formula
F+V=E+2
Basically states that:
# of Faces+ # of Vertices= # of Edges+2
12 + 10 = E + 2
(-2) + 22 = E + 2 (-2)
20 = E

Yep, The answer is D. 20 edges

What is the solution of log3x − 5 16 = 2?

the base is 3x - 5, and the argument is 16

Answers

Answer:

x=3

Step-by-step explanation:

The given equation is $\log_(3x-5)16=2$

The relation between logarithmic function and exponential function is given by

$\text{If }y=b^x\text{ then }x=\log_b(y)$

On comparing, we get

b = 3x-5

y = 16

x = 2

Hence, using the relation, we have

$16=(3x-5)^2$

Take square root both sides

$\pm√(16)=3x-5$

On simplifying

$3x-5=\pm4\n\n3x=\pm4+5\n\nx=(1)/(3)(5\pm4)\n\nx=(1)/(3)*1,(1)/(3)*9\n\nx=(1)/(3),3$

For x = 1/3

$3x-5\n\n=3\cdot (1)/(3)-5\n\n=-4$

Base cannot be negative.

Hence, the value of x is 3

Hello,

log (16)=2 in base 3x-5
==>16=2^(3x-5)
==>2^4=2^(3x-5)
==>4=3x-5
==>3x=9
==>x=3

Plan 1 . A flat rate of $7 per month plus $2.50 per video viewed Plan 2. $4 per video viewed What type of functions model this situation? Explain how you know?

Answers

Answer:they are both linear because Their slopes are constant.

Step-by-step explanation:

$6300 is invested , part of it at 12%, and part at 6%. For a certain year, the total yield is 564.00. How much was invested at each rate?

Answers

x - first part of the investment (12% rate)
y - second part of the investment (6% rate)

Total investment: $x + y = 6300$
Total yield: $564 = x*0,12 + y*0,06$

Based on that we can calculate x and y:
$\left \{ {y=6300-x} \atop {0,12x+0,06(6300-x)=564}} \right.$

$\left \{ {y=6300-x} \atop {0,12x+378-0,06x=564}} \right.$

$\left \{ {y=6300-x} \atop {0,06x=186}} \right.$

$\left \{ {y=6300-x} \atop {x=3100}} \right.$

$\left \{ {y=3200} \atop {x=3100}} \right.$

Answer: $3100 was invested at 12% and $3200 at 6%.

If you have any questions, please let me know!