Final answer:
The curved surface area of a cone with a radius of 15 cm and a slant height of 16 cm is 753.982 cm², calculated using the formula A = πrl.
Explanation:
The question asks for the curved surface area of a cone with a given radius and slant height. To find the curved surface area of a cone, we use the formula:
A = πrl
where A is the area, π is pi (approximately 3.14159), r is the radius, and l is the slant height of the cone.
Here, the radius (r) is 15 cm and the slant height (l) is 16 cm. Substituting these values into the formula, we get:
A = π × 15 cm × 16 cm
A = 3.14159 × 15 cm × 16 cm
A = 753.982 cm²
Therefore, the curved surface area of the cone is 753.982 cm².
−2(−5x−4)+2x−2=114
Answer:
x=9
Step-by-step explanation:
-2(-5x - 4) + 2x - 2 = 114
-2(-5x - 4) + 2x = 116
10x + 8 + 2x = 116
12x + 8 = 116
12x = 108
x = 9
The length of a rectangle is 15 and its width is w.
The perimeter of the rectangle is, at most, 50,
Which inequality can be used to find the longes
possible width?
A
30+ 2x < 50
B. 30 + 2w < 50
D. 30+ 2w > 50
C.30 + 2w > 50
A rectangle with sides 15 and w has perimeter
[tex]2p = 2(15+w) = 2w+30[/tex]
We want this quantity to be at most 50, so it must be less than or equal to 50:
[tex]2w+30\leq 50[/tex]
For the record, this implies that
[tex]2w\leq 20 \iff w \leq 10[/tex]
So, the width can be at most 10.
Answer:
2x+30< 50 ...answer : A
Step-by-step explanation:
the perimeter is : P = 2(L+W)
let : L= x given : L=15
P= 2(x+15)
The perimeter of the rectangle is, at most, 50: P<50
2(x+15) < 50
2x+30< 50 ...answer : A
Two thirds of a number is 36. What is the number
2/3x=36
multiply by 3 both sides
2x=108
divide by 2
x=54
The value of the number whose two thirds part is equal to the number 36 is number 54.
What is the fraction number?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
Two thirds of a number is 36. Let suppose the number is x. As it is given that the two third of this number x is equal to the 36.
Thus, we have to multiply the fraction 2/3 to x and equate it to 36.
[tex]x\times\dfrac{2}{3}=36\\x=\dfrac{36\times3}{2}\\x=54[/tex]
Hence, the value of the number whose two thirds part is equal to the number 36 is number 54.
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Is 21/32 greater than 3/4
Answer:
Step-by-step explanation:
It's highly advisable to find and use the LCD in problems like this.
21/32 has the denominator 32; if we multiply numerator and denominator each of 3/4, we get the equivalent fraction 24/32.
Now, compare 21/32 and 24/32. It's pretty obvious that "21/32 greater than 3/4" is false; 24/32 is greater than 21/32, so 3/4 is greater than 21/32.
which of the following values are in the range of the function graphed below? check all that apply
Answer:
Option D. 1
Option E. 1/2
Step-by-step explanation:
we know that
Looking at the graph
The domain is the interval ----> [-1,1]
[tex]-1\leq x\leq 1[/tex]
The domain is all real numbers greater than or equal to -1 and less than or equal to 1
The range is the interval ----> [0,1]
[tex]0\leq y\leq 1[/tex]
The range is all real numbers greater than or equal to 0 and less than or equal to 1
therefore
The values that are in the range are
1 and 1/2
Answer:
D.1
E.[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We have to find the values lie in the range of function in given graph.
Let f(x) be given function
Domain takes along x- axis and range takes along y- axis.
From given graph , we can see that
Domain of function =[-1,1]
It means
[tex]-1\leq x\leq 1[/tex]
Range of function:[0,1]
It means
[tex]0\leq y \leq 1[/tex]
The value of range of given function from 0 to 1.
Hence, option D and E are correct.
D.1
E.[tex]\frac{1}{2}[/tex]
Mary has 12 hair ribbons. 3 of the ribbons are red. What percent of her ribbons are red?
Answer:36%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
3 ribbons/ 12ribbons= 1/12
If You simplify dividing by 3 it becomes =1/4 = 0.25
so.. this is the 25 %
What’s the slope of a line passing through the points (2,0) ,(-6,8)
Answer:
-1
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{0 + 8}{ - 2 - 6} = - \frac{8}{8} = - 1[/tex]
I am joyous to assist you anytime.
Solve by factorisation 2x^2+3x-20
Answer:
(x + 4) × (2x - 5)
Step-by-step explanation:
Begin by writing 3x as a difference 2x^2 + 8x - 5x - 20Factor out 2x from the expression2x × (x + 4) - 5x - 20Factor out -5 from the expression2x × (x + 4) - 5 (x + 4)Factor out x + 4 from the expression (x + 4) × (2x - 5)Hope this helps!!
Answer:
Answer:
(2x−5)(x+4)
Step-by-step explanation:
Factor 2x2+3x−20
2x2+3x−20
=(2x−5)(x+4)
Answer:
(2x−5)(x+4)
Fill in the blank. Using the number line below, the plotted number is
when rounded to the nearest thousand.
Using the given number line, the plotted number is 1000 when rounded to the nearest thousand.
How to round a number to the nearest thousand?
To round a number to the nearest thousand, you need to identify the digit in the thousands place and then decide whether to round up or down based on the digit in the hundreds place.
Now, the nearest number too the plotted dot is 1000.
Thus, we can clearly conclude that the using the given number line, the plotted number is 1000 when rounded to the nearest thousand.
in an isosceles triangle if a base angle has a measure of 55 degrees then the vertex angle must have a measure of 70 degrees as well
Answer:
True
Step-by-step explanation:
The base angles of an isosceles triangle are equal.
The sum of the 3 angles in a triangle = 180°, thus
vertex angle = 180° - (55 + 55)° = 180° - 110° = 70°
Michael saves $423 dollars a month for college.
a. About how much money will he have saved after 4 years?
b. Will your estimate be lower or higher than the actual amount Michael will save? How do you know?
Answer:
(a). $20,000
(b). The estimate will be lower than the actual amount.
Step-by-step explanation:
We have been given that Michael saves $423 dollars a month for college.
(a). We know that 1 year equals 12 months.
4 years = 4*12 months = 48 months.
[tex]\text{Actual amount saved}=\$423\times 48[/tex]
Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:
[tex]423\approx 400\\\\48\approx 50[/tex]
[tex]\text{Actual amount saved}=\$400\times 50[/tex]
[tex]\text{Actual amount saved}=\$20,000[/tex]
Therefore, Michael will save approximately $20,000 in 4 years.
(b).
The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.
Therefore, the estimate will be lower than the actual amount.
At just under 30,000 feet, mount Everest is the world's tallest mountain. Olympus Mon, which is on Mars, is the tallest mountain in the solar system. What is the height of Olympus Mons?
Answer:The volcano has a height of nearly 22 km (13.6 mi or 72,000 ft) as measured by the Mars Orbiter Laser Altimeter (MOLA). Olympus Mons is about two and a half times Mount Everest's height above sea level.
Olympus Mons - Wikipedia
Step-by-step explanation:
Olympus Mons on Mars is the tallest mountain in the solar system, standing over 20 kilometers above its surroundings and nearly 30 kilometers above the lowest points on Mars.
Explanation:The height of Olympus Mons, which is the tallest mountain in the solar system, located on Mars, is incredibly impressive in comparison to mountains on Earth. Olympus Mons towers more than 20 kilometers above its surroundings, reaching nearly 30 kilometers above the lowest elevation areas on Mars. When converted to more familiar units, this equals approximately 22 miles in height, a figure that dwarfs the height of Mount Everest, which stands at 29,029 feet or about 8.848 kilometers.
Colin works for his dad during summer vacation.his dad pays him $5.20 per hour and works 20 hours per week. How much will Colin earn during his 8 week summer vacation
Answer:
$5.20 x 20 = $104.00
$104.00 ×8= $832.00
4. At 840,000 square miles, Greenland is the largest island
in the world. The second-largest island is
New Guinea, at 306,000 square miles. How much large
is Greenland than New Guinea?
Answer:
840,000 / 306,000 = 2.7450980392
So, Greenland is about 2 and 3/4 times larger than New Guinea.
Step-by-step explanation:
Greenland, the largest island in the world, is 534,000 square miles larger than New Guinea.
Explanation:Greenland is 840,000 square miles and New Guinea is 306,000 square miles. To find out how much larger Greenland is than New Guinea, we subtract the area of New Guinea from the area of Greenland:
840,000 - 306,000 = 534,000 square miles
Therefore, Greenland is 534,000 square miles larger than New Guinea.
To determine how much larger Greenland is than New Guinea, one must subtract the size of New Guinea from the size of Greenland. Given that Greenland, the largest island in the world, is 840,000 square miles and New Guinea is 306,000 square miles, you would perform the following calculation:
840,000 - 306,000 = 534,000 square miles
Therefore, Greenland is 534,000 square miles larger than New Guinea.
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What is the value of the expression?
6.4−2.4÷0.1
Enter your answer in the box as a decimal.
HELP ILL GIVE 5 STAR IF ITS RIGHT
Hey!
-------------------------------------------------
Steps To Solve:
~Follow PEMDAS
6.4 − 2.4 ÷ 0.1
~Divide
6.4 − (2.4 ÷ 0.1)
~Simplify
6.4 - 24
~Subtract
(6.4 - 24)
~Simplify
-17.6
-------------------------------------------------
Answer:
[tex]\large\boxed{-17.6}[/tex]
-------------------------------------------------
Hope This Helped! Good Luck!
Answer:
-17.6
Step-by-step explanation:
6.4 - 2.4 ÷ 0.1
6.4 - 24 *Order of operations tells you
to divide first
-17.6 *Subtract
write three numbers that have GCF of 7
Answer:
21, 35 , 49
Step-by-step explanation:
21 = 3 * 7
35 = 5 * 7
49 = 7 * 7
GCF = 7
If y represents a number, then write an expression for negative two times the sum of y and 7
The required expression would be -2(y+7) represents which is negative two times the sum of y and 7.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given that y represents a number.
To determine the expression for negative two times the sum of y and 7.
As per the given statement,
So the expression would be -2(y+7).
Hence, the required expression would be -2(y+7) represents which is negative two times the sum of y and 7.
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The sum of two numbers is −103. One number is 59 less than the other. Find the numbers.
Answer:r
Step-by-step explanation:
let x and y this numbers : x +y = -103 and x = y +59
so : y+59 +y = -103
2y +59 = -103
2y +59-59 = -103-59
2y = -162
y = -162/2
y = -81 but x = y +59
so : x = -81+59
x = -22
The two numbers satisfying the given condition is -22 and -81.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have sum of two numbers is -103. One number is 59 less than the other.
Assume that the first number is [x]. Then, another number would be (x - 59).
We can write -
x + (x - 59) = - 103
2x - 59 = - 103
2x = - 103 + 59
2x = - 444
x = - 22
Another number would be -
x - 59 = - 22 - 59 = - 81
Therefore, the two numbers satisfying the given condition is -22 and -81.
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What quadrilateral has exactly one pair of parallel opposite sides?
A trapezoid has exactly one pair of parallel sides.
I hope I was helpful! :)
4. Pablo buys a mattress set for 15% of the
regular price and uses a coupon for 20%
off the reduced price. If Pablo paid
$1,223.32 for the mattress set after the
incentives, what was the regular price of
the mattress set?
Answer:
I am not sure but the answer might be: $1688.1816
Step-by-step explanation:
I just need the answers you don’t have to explain for number 4
Answer: (a) 3 (b) -4 (c) 8 (d) 8i (e) 11
Step-by-step explanation:
For a cubed root, you need three like terms on the inside to make one on the outside.
[tex]a)\quad \sqrt[3]{27}\quad = \sqrt[3]{3\cdot3\cdot3}\quad =\large\boxed{3}\\\\b)\quad \sqrt[3]{-64}\quad = \sqrt[3]{-4\cdot-4\cdot-4}\quad =\large\boxed{-4}[/tex]
For a square root, you need two like terms on the inside to make one on the outside. Reminder that √-1 = i
[tex]c)\quad \sqrt{64}\quad = \sqrt{8\cdot8}\quad =\large\boxed{8}\\\\d)\quad \sqrt{-64}\quad = \sqrt{-1\cdot8\cdot8}\quad =\large\boxed{8i}\\\\e)\quad \sqrt{121}\quad = \sqrt{11\cdot11}\quad =\large\boxed{11}[/tex]
Use the graph shown to fill in the blank.
When x = -3, then y = a0.
Answer: -6
Step-by-step explanation:
When X = - 3, then Y = -6
Slope is 2.
Answer:
When x = -3, then y = -6
Step-by-step explanation:
We need to find out the value of y when x=-3
From the graph we look at the value of y
x is the input of the graph and y is the output .
In x axis the positive numbers on the right side and negative numbers on the left side . In y axis the positive numbers at the top and negative numbers at the bottom.
Given x=-3, Lets find the value of
At x=-3 the graph is at the bottom of x axis
Draw a line down at x=-3 , the line meets the graph at -6
So at x=-3 the value of y is -6
When x = -3, then y = -6
find the decimal that is equivalent to 7/12
Answer: 0.58333333333333
Step-by-step explanation: To find the decimal that is equivalent to 7/12, remember that fractions are division problems so we can divide the numerator by the denominator.
Numerator = 7
Denominator = 12
7 ÷ 12 = 0.58333333333333.
Answer:
_
.583
Step-by-step explanation:
In order to convert 7/12 to a decimal you must divide 7/12. The answer won't be a rational number, but will be a repeating decimal. You end up with .583 with 3 repeating. To show that this is repeating, you must put a little bar over the 3 (Because the 3 is the only repeating number) like so:
_
.583
I hope I was helpful!
The subject of the formula below is y.
y = x-8
Rearrange the formula to make x the subject.
Pls help
Answer:
x = y + 8
Step-by-step explanation:
Given
y = x - 8 ( add 8 to both sides )
y + 8 = x
Final answer:
To make x the subject of the equation y = x - 8, simply add 8 to both sides of the equation to get x = y + 8, which is the rearranged equation.
Explanation:
To rearrange the equation y = x - 8 to make x the subject, you need to isolate x on one side of the equation. Here are the steps to do so:
Add 8 to both sides of the equation to get y + 8 = x.
Once you have done that, the equation is already solved for x, and the new equation with x as the subject is x = y + 8.
This process is common in algebra when solving linear equations or finding the equation of a line, similar to when you want to determine the line of best fit in a set of data points. For example, in the equation y = 9 + 3x, rearranging to solve for x would involve subtracting 9 from both sides and then dividing by 3.
What is the solution to the linear equation? StartFraction 2 Over 5 EndFraction plus p equals StartFraction 4 Over 5 EndFraction plus StartFraction 3 Over 5 EndFraction p. + p = + p p = 1 p = 2 p = 8 p = 10
For this case we must solve the following equation:
[tex]\frac {2} {5} + p = \frac {4} {5} + \frac {3} {5}[/tex]
Since the denominators on the right side of the equation are equal, then we add the fractions:
[tex]\frac {2} {5} + p = \frac {4 + 3} {5}\\\frac {2} {5} + p = \frac {7} {5}[/tex]
We subtract [tex]\frac {2} {5}[/tex]on both sides of the equation:
[tex]p = \frac {7} {5} - \frac {2} {5}\\p = \frac {7-2} {5}\\p = \frac {5} {5}\\p = 1[/tex]
Thus, the value of p is 1.
Answer:
[tex]p = 1[/tex]
The solution to the linear equation is; p= 1.
Solution to linear equationsThe equation given in the task content is;
2/5 + p = 4/5 + 3/5On this note, By isolating the unknown variable, p, we have;
p = 4/5 + 3/5 -2/5By taking the LCM, we have; p = (4+3-2)/5
P = 5/5p = 1Read more on solving linear equations;
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5b + 2= 17 two step equation
Answer: 5b = 15
Step-by-step explanation:
5b + 2 = 17
- 2 -2
5b = 15
The two steps are:
step 1 : 5b = 17 - 2
step 2 : b = 15/5
Given,
5b + 2= 17
Now,
The equation given two us is in linear form with one variable .
So,
Simplifying the equation,
5b + 2= 17
Take 2 from LHS to RHS
5b = 17 - 2
5b = 15
b = 15/5
b = 3
Thus the value of b is 3 .
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A bottlenose dolphin can swim 2.68 meters per second. Find the dolphin speed in miles per hour
Answer:
The dolphin speed in miles per hour is 6
Step-by-step explanation:
we know that
1 mi=1,609.34 m ------> 1 m=1/ 1,609.34 mi
1 h= 3,600 sec ----> 1 sec=1/3,600 h
we have
[tex]2.68\frac{m}{sec}[/tex]
Convert to mi/h
[tex]2.68\frac{m}{sec}=2.68\frac{(1/1,609.34)}{(1/3,600)}=6\frac{mi}{h}[/tex]
Answer:
6
Step-by-step explanation:
In the diagram below angle AED=(4n-20)° and angle BEC=(2n-16)°. What is the measure of angle CED in degrees
(See picture)!!
Check the picture below.
so, bearing in mind that vertical angles are equal, thus ∡AED = ∡BEC, and we know that ∡BEC = 52 = ∡AED, so those two angles added up are 104°.
now, a circle has a total of 360°, if we take away those 104° from the red angles, what's leftover is just 256°, well, the green angles there are also vertical angles and thus twins, so each one will take half of 256°.
∡BEA = 128° = ∡CED.
In the number 76,129, which digit
has the least value?
Answer:
1
Step-by-step explanation:
It would be 1 because it is the least number there
Can you help me find the rate of change???
we can alsoways find the slope by simply using two points off the table, bearing in mind that slope goes by different names
rate of change
average rate of change
delta difference
rise over run
however is the same cat disguised in different costumes.
[tex]\bf \begin{array}{|cc|ll} \cline{1-2} time&distance\\ \cline{1-2} 15&2\\ 30&4\\ 45&5\\ 60&6\\ \cline{1-2} \end{array} \begin{array}{llll} \\[1em] \leftarrow \\\\ \leftarrow \end{array}\qquad \qquad (\stackrel{x_1}{30}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{60}~,~\stackrel{y_2}{6})[/tex]
[tex]\bf \stackrel{\textit{\large average rate of change}}{\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{60}-\underset{x_1}{30}}}\implies \cfrac{2}{30}\implies \cfrac{1}{15}}[/tex]