PLEASE HELP QUICK, GIVING BRAINLIEST
A cone-shaped hat is shown:
(below)
What is the approximate height of the hat?
3.51 centimeters, because height = Square root of the difference of 18 and 5.7
17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7
18.88 centimeters, because height = Square root of the sum of the squares of 18 and 5.7
4.87 centimeters, because height = Square root of the sum of 18 and 5.7
Answers
This is classic Pythagorean solving:
Side^2 + Side^2 = Hypotenuse^2
The hypotenuse is the longest side of a triangle, and it connects the leg and the base usually. In this triangle, 18 is the hypotenuse -- so since we are solving for the unknown side, the equation is:
a^2 + 5.7^2 = 18^2 -- now solve
a^2 = 18^2 - 5.7^2
a^2 = 291.51
a = sqrt(291.51)
a = 17.07 -- because height is the square root of the difference of the squares of 18 and 5.7
The answer is choice B.
The correct answer is b. 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.
To find the approximate height of the cone-shaped hat, we need to use the Pythagorean theorem. The height of the cone (h) can be found using the formula:
[tex]\[ h = \sqrt{r^2 - a^2} \][/tex]
where r is the slant height of the cone and a is the radius of the base of the cone.
Given that r = 18 cm and a = 5.7 cm, we substitute these values into the formula:
[tex]\[ h = \sqrt{18^2 - 5.7^2} \][/tex]
[tex]\[ h = \sqrt{324 - 32.49} \][/tex]
[tex]\[ h = \sqrt{291.51} \][/tex]
Now, we can approximate the square root of 291.51 to find the height:
[tex]\[ h \approx 17.07 \text{ cm} \[/tex]]
Therefore, the approximate height of the hat is 17.07 centimeters. The other options are incorrect because they do not correctly apply the Pythagorean theorem:
a. 3.51 centimeters: This is the square root of the difference of 18 and 5.7, which does not use the correct formula for the height of a cone.
c. 18.88 centimeters: This is the square root of the sum of the squares of 18 and 5.7, which would be the length of the slant height, not the height of the cone.
d. 4.87 centimeters: This is the square root of the sum of 18 and 5.7, which is not a correct application of the Pythagorean theorem for finding the height of a cone."
Related Questions
If p(x) is a cubic polynomial with zeros at -3,-1, and 2, and p(0)=6, find p(x).
Answers
Answer:
[tex]p(x)=-x^3-2x^2+5x+6.[/tex]
Step-by-step explanation:
If a cubic polynomial has zeros [tex]x_1,\ x_2,\ x_3,[/tex] then it has a form
[tex]p(x)=a(x-x_1)(x-x_2)(x-x_3).[/tex]
In your case, zeros are -3, -1 and 2, then the polynomial is
[tex]p(x)=a(x-(-3))(x-(-1))(x-2),\\ \\p(x)=a(x+3)(x+1)(x-2).[/tex]
If [tex]p(0)=6,[/tex] then
[tex]p(0)=a(0+3)(0+1)(0-2)=6,\\ \\-6a=6,\\ \\a=-1[/tex]
and
[tex]p(x)=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6.[/tex]
please also should work
Answers
Answer:
B 2 < x < 6
Step-by-step explanation:
six times an integer is between 12 and 36. Between does not include so we use < not ≤
12 < 6x < 36
Divide all sides by 6
12/6 < 6x/6 < 36/6
2 < x < 6
Please help with this last question
Answers
remember whenever the line is darkened its either greater than or equal to OR Less than and equal to
Solve the inequality graphically. 4^x > 2^x
A. x > 0
B. x < 0
C. x > 1
D. x < 1
Answers
Answer:
A. x > 0
Step-by-step explanation:
As long as the number (x) is a number greater than 0, the inequality would be correct. Take for example, 1 (a number greater than 0)
4^1 = 4; 2^1 = 2; 4 > 2
Another example is 2
4^2 = 16; 2^2 = 4; 16 > 4
etc.
~
Answer:
A. x > 0
Step-by-step explanation:
see graph
4^x > 2^x
Replace 4 with 2^2
2^2^x > 2^x
a^b^x = a^(b*c) so
2^ 2x > 2^x
If the bases are the same, the exponents must keep the same ratio
2x>x
This is true if x>0
Tom knows that his school 10 out of every 85 students are left-handed. There are 391 students in Tom's school.
How many students in toms school are left-handed?
please show work if you help and i will mark as most BRAINLY THANK YOU GUYS!! ;)
Answers
then I multiplied 4.6 by 10 and got 46
so your and is 46
HURRY 30 POINTS! The diameter of mercury is approximately 4.9x10^3 kilometers. The diameter of Saturn is 1.2x10^5 kilometers. About how many times greater is the diameter of Saturn than the diameter of Mercury?
2.4
24
240
2400
Answers
Answer:
The answer is 2.4
Step-by-step explanation:
Divide 1.2x10^5 by 4.9x10^3 and you should get the answer of 2.44.
Hope this helps
Am I right?
I want to know if I am right
Answers
Answer:
B $13
Step-by-step explanation:
Julie has 16.73 That is approximately 17 dollars
She buys a purse that is 4.12. That is approximately 4 dollars
17 -4 = 13
She will have approximately 13 dollars left
which linear function represents a slope of 1/4
Answers
Answer: The second option represents a slope of 1/4
Step-by-step explanation:
To find slope, select two points along the line and plug them into this equation: (y2-y1)/(x2-x1)
We'll take the two points in the second graph and plug them into the equation above: (4-3)/(4-0)= 1/4
Therefore, the second option represents a slope of 1/4. Hope this helps:)
Answer:
(B) would be the best answer choice
Step-by-step explanation:
Evaluate - 2/5- x + (-9/10) where x = 4/5.
Answers
Answer:
- 2 1/10
Step-by-step explanation:
-2/5 -x -9/10
Let x = 4/5
-2/5 - 4/5 - 9/10
Combine like terms
-6/5 - 9/10
Get a common denominator of 10
-6/5 * 2/2 - 9/10
-12/10 - 9/10
-21/ 10
Change this to a mixed number
10 goes into 21 2 times with 1 left over
-2 1/10
Answer:
- 2 1/10
Step-by-step explanation:
graph the solution set. please help
Answers
Answer:
In the attachment.
Step-by-step explanation:
Rewrite [tex]x\geq-3y-6[/tex] as a [tex]y\geq -\frac{1}{3}x-2[/tex]. Then mark each set with different color and take the intersection of these.
What is sin 60 degree
Answers
Answer: if talking square root, it is sqrt3/2. if talking decimals, it is about 0.87.
Answer:
Sine 60°= √3/2
=1.732/2
0.8660
Step-by-step explanation:
In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
From the triangle shown in the attachment
The sine of an angle =
Opposite/hypotenuse
Sine 60°= √3/2
=1.732/2
0.8660
PLZ HURRY
Which graph represents the function f(x) = 2|x|?
Answers
Answer:c
Step-by-step explanation:
Answer: Hey he got it right it's C
Step-by-step explanation:
On her 30th birthday, Ann Marie opened a new compound interest account with $25,000
to save for her retirement.
The account pays 5% interest annually.
No further deposit is made to the account and no withdrawals are made.
If Ann Marie retires on her 60th birthday and close the account at that time, how much interest would she have earned on her initial $25,000? (Round your answer to the nearest cent).
Answers
Answer:
On her 60th birthday, she would have earned $83048.5.
Step-by-step explanation:
The formula to calculate the compound interest is:
[tex]A=P(1+\frac{r}{100} )^{n}[/tex] --- (1)
where A is Principal and interest, r is the rate of interest and n is the number of years compounded.
For our problem,
P = 25000,
r = 0.05 and
n = 60 - 30 = 30
Substitute these values in (1), we get,
[tex]A=25000(1+0.05)^{30}[/tex]
[tex]=25000(1.05)^{30}[/tex]
= 25000(4.32194)
= 108048.5
Compound Interest = Amount - Principal
= 108048.5 - 25000
= 83048.50
Hence, on her 60th birthday, she would have earned $83048.5.
Answer:
The interest in 30 years be 8305000 cent.
Step-by-step explanation:
Formula
[tex]Amount = P(1+r)^{t}[/tex]
Where P is the principle , r is the rate of interest in the decimal form and t is the time.
As given
On her 30th birthday, Ann Marie opened a new compound interest account with $25,000.
The account pays 5% interest annually.
If Ann Marie retires on her 60th birthday and close the account at that time .
P = $25000
5% is written in the decimal form.
[tex]= \frac{5}{100}[/tex]
= 0.05
r = 0.05
As Ann Marie open account on his 30 th birthday and close it at its 60 th birthday .
Thus
t = 60 - 30
t = 30 years
Put all the value in the formula
[tex]Amount = 25000(1+0.05)^{30}[/tex]
[tex]Amount = 25000(1.05)^{30}[/tex]
[tex]Amount = 25000\times 4.322 (Approx)[/tex]
[tex]Amount = \$ 108050[/tex]
As
Amount = Principle + Interest
Putting the value
$108050 = $25000+ Interest
$108050 - $25000 = Interest
Interest = $83050
As 1 dollar = 100 cent
Convert $83050 convert into cent .
$83050 = 83050 × 100
= 8305000 cent.
Therefore the interest in 30 years be 8305000 cent.
Solve for a in the equation a-17=42
Answers
Answer:
a = 59
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable (a). Add 17 to both sides
a - 17 = 42
a - 17 (+17) = 42 (+17)
a = 42 + 17
Simplify. Combine like terms
a = 42 + 17
a = 59
59 is your answer
~
Solve for a (this means they want you to get "a" by itself in the equation)
So:
a - 17 = 42 Add 17 on both sides to get "a" by itself
a - 17 + 17 = 42 + 17
a = 59
What does this symbol “ mean in math
Answers
I think, it's the symbol of the inches.
3" = 3 inches
or it's the second derivative of the function
[tex]\dfrac{d^2y}{dx^2}=f''(x)[/tex]
HELP I NEED THESE QUESTIONS ANSWERED BEFORE THERE DUE PLZ HELP!!!!!!!
Answers
Answer:
Please, see the answers in the attached files.
Step-by-step explanation:
Please, see the attached files.
Thanks.
Stephen uses \dfrac{2}{25} 25 2 kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1 10 1 kilograms of tofu. How many servings can Stephen make?
Answers
Answer:
13 3/4 servings
Step-by-step explanation:
Stephen has 1 1/10 kg of tofu.
He uses 2/25 kg in each serving.
We will divide to figure out how many servings he can make
1 1/10 ÷ 2/25
We need to change the mixed number 1 1/10 to an improper fraction
1 1/10 = (10*1 + 1) /10 = 11/10
11/10 ÷2/25
Copy dot flip
11/10 * 25/2
275/20
Divide the top and bottom by 5
55/4
We will change this back into an improper fraction
4 goes into 55 13 times with 3 left over
13 3/4
He can make 13 3/4 servings
{EASY POINTS} Write the converse of the conditional statement.
If it is January, then there are 31 days this month.
| Not True False, Converse |
Answers
Answer:
If there are 31 days in this month, it is January
Step-by-step explanation:
The converse of a statement is when you switch the conclusion with the hypothesis. If you do this, you get:
If there are 31 days in this month, it is January.
This is false btw. December has 31 days, and it's not January
The converse of the statement 'If it is January, then there are 31 days this month' is 'If there are 31 days this month, then it is January'. This is done by reversing the order of the 'if' (antecedent) and 'then' (consequent) parts of the statement.
Explanation:The converse of the conditional statement 'If it is January, then there are 31 days this month.' is 'If there are 31 days this month, then it is January.'
In a conditional statement, the order of the 'if', known as the antecedent, and the 'then', known as the consequent, makes up the statement's direction. The converse of a conditional statement simply flips or reverses this order. It's important to note that the truth of the original statement does not guarantee the truth of its converse.
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Salar's Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets cost $3.50 each and he has $15.25 to spend, how many tickets can he buy?
Answers
Answer: 4 tickets
Step-by-step explanation: If $15.25 is Salar’s total and each ticket costs $3.50, we need to use division to figure out how many tickets Salar can purchase. When we divide 15.25/3.50, we get 4.35 (approximately). Salar can’t have .35 of a ticket, so we round down to 4 whole tickets.
[tex]15.25 \div 3.5[/tex]
Or
[tex]152.5 \div 35[/tex]
When simplified, the quotient (answer for a division problem) would be 4.357143.
4.357143 is not a whole number. Let's round it to nearest whole number: 4. After all, Salar can't exactly buy 4.357143 tickets. He would have to tear a ticket.
So, with $15.25, Salar can buy 4 tickets for the play.
Someone help me on my question.
Answers
Answer:
C < A < B
Step-by-step explanation:
Answer:
Step-by-step explanation:The answer is C<A<B and the reason is is because angle A and C are the same and angle B is the largest.
In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
Harry is _ years old, and Jim is _ years old.
Please Help!
Answers
Answer:
Harry is 2 years old and Jim is 6 years old.
Step-by-step explanation:
set up the equations. let harry be h and jim be j.
h+4=j
j+2=2(h+2)
plug in the j from the first equation.
you should get h=2 (harry is two years old)
if h+4=j, 2+4=j. so j=6 (jim is six years old)
Answer:
Harry is 2 years old and Jim is 6 years old.
Step-by-step explanation:
Let x years be Harry's age now and y years be Jim's age now.
1. In 4 years, Harry’s age will be x+4 years. If in 4 years, Harry’s age will be the same as Jim’s age is now, then
[tex]x+4=y.[/tex]
2. In 2 years, Jim's age will be y+2 years and Harry's age will be x+2 years. If in 2 years, Jim will be twice as old as Harry will be, then
[tex]y+2=2(x+2).[/tex]
Solve the system of two equations:
[tex]\begin{array}{l}x+4=y\\y+2=2(x+2).\end{array}[/tex]
Substitute y=x+4 into the second equation:
[tex]x+4+2=2(x+2),\\ \\x+6=2x+4,\\ \\6-4=2x-x,\\ \\x=2[/tex]
and [tex]y=2+4=6.[/tex]
Mario made 6 batches of cookies. His friends asked him to make an extra batch. He used 15 3/4 cups of sugar and needs another 5/8 cup for the extra Batch. How many cups of sugar will Mario use altogether? Show work.
Answers
Answer:
57
Step-by-step explanation:
6x?=5/8x15 3/4
Which system of inequalities is shown? A.y2 B.yx y<2 D.y>x y>2
Answers
Answer: y > x, y > 2
The horizontal line goes through 2 on the y axis. This boundary line is represented by the equation y = 2, since every point on this line has a y coord of 2. The shading above it means that the inequality is y > 2. Every point in the shaded region of y > 2 has a y coord that is larger than 2.
The other inequality is y > x because we shade above the dashed boundary line y = x, which is that slanted dashed line.
Combining the two regions of y > 2 and y > x leads to what is shown.
Final answer:
The question regarding systems of inequalities is incomplete, but linear inequalities like y < x or y > 2 can be graphically represented. The same is true for linear equations, with options A, B, and C all depicting linear forms.
Explanation:
The question which system of inequalities is shown seems to be missing some context or parts, but in general, inequalities can be represented on a graph and used to describe the relationship between variables. When dealing with linear inequalities, such as y < x or y > 2, these can be shown graphically with a line dividing the plane into two regions: one where the inequality is true and the other where it is false. For instance, y < x would be represented by a line that slopes upward to the right, and the region below this line (where y is less than x) is shaded. Similarly, for y > 2, a horizontal line is drawn at y=2, and the area above this line is shaded, indicating where y is greater than 2.
When looking at linear equations, all the options A. y = -3x, B. y = 0.2 + 0.74x, and C. y = -9.4 - 2x are indeed linear, as they can all be written in the form y = mx + b, where m and b are real numbers and represent the slope and y-intercept of the line, respectively.
Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now.
Given that my age is an integer number of years, what is the smallest my age could be?
Answers
Answer: His smallest age could be 16 years.
Step-by-step explanation:
Since we have given that
Four-fifths of his current age is greater than three-quarters of his age one year from now.
Let his present age be x
So, According to question,
[tex]\frac{4}{5}x>\frac{3}{4}(x+1)[/tex]
Take the equality,
[tex]\frac{4}{5}x=\frac{3}{4}(x+1)\\\\\frac{4}{5}x=\frac{3}{4}x+\frac{3}{4}\\\\\frac{4}{5}x-\frac{3}{4}x=\frac{3}{4}\\\\\frac{16x-15x}{20}=\frac{3}{4}\\\\\frac{x}{20}=\frac{3}{4}\\\\x=\frac{3\times 20}{4}\\\\x=15[/tex]
So, [tex]x>15[/tex]
Hence, Nearest and smallest integer greater than 15 is 16 .
Therefore, His smallest age could be 16 years.
Answer:
Answer: His smallest age could be 16 years.
Step-by-step explanation:
Since we have given that
Four-fifths of his current age is greater than three-quarters of his age one year from now.
Let his present age be x
So, According to question,
Take the equality,
So,
Hence, Nearest and smallest integer greater than 15 is 16 .
Therefore, His smallest age could be 16 years.
You are working as an office apprentice for the bksb Newcastle Arena.
The arena is attempting to cut down on some of its running costs. Look at the table below that lists the costs for the previous five years.
Year Costs (£)
Year One 1.4 million
Year Two 1.6 million
Year Three 1.8 million
Year Four 2.5 million
Year Five 1.7 million
What is the mean amount of costs?
Answers
Answer:
Mean = £1.8 million
Step-by-step explanation:
The MEAN is the sum of all the numbers divided by the number of numbers.
There are 5 numbers in totalThe sum is [tex]1.4+1.6+1.8+2.5+1.7=9[/tex] millionHence the mean is [tex]\frac{9}{5}=1.8[/tex] million
How do I factor quadratics?
Answers
Ok so factoring quadratics is fairly easy once you get the hang of it
So we have a quadratic [tex]x^2+x-2[/tex]
My first question would be what 2 numbers multiply to -2 and add to +1
the answer is 2 and -1
Second question what 2 values multiply to get [tex]x^2[/tex]
the answer x and x
your factored form would be [tex](x-1)(x+2)[/tex]
This is as far as i can explain there is a whole lot about quadratics to be learned. You have to ask your teacher on more information
Which of these sets of numbers contain all rational numbers?
A. π, 1/2, -13
B. -3.0541...,√99, 0.14363
C. -6, -√225, 4 7/8
D. √21, 0.75, 0
Answers
The answer is C, -6, -√225, 4 7/8.
Rational means that the number can be expressed as a fraction and integer numerators and denominators. -6 and 4 7/8 can clearly be expressed as a fraction. -6 can be expressed as -6/1 and 4 7/8 can be expressed as 39/8.
-√225 is equivalent to -15, which is rational.
A is wrong because the number includes Pi.
B is wrong because -3.0541 never ends and √99 is irrational.
D is wrong because √21 is also irrational.
The Set C. -6, -√225, 4 7/8 is the only set that contains all rational numbers.
Explanation:The set of rational numbers consists of numbers that can be expressed as a fraction of two integers. To determine which set of numbers contains all rational numbers, we need to check if all the numbers in each set can be expressed as a fraction.
In set A, only 1/2 is a rational number.
In set B, -3.0541... and 0.14363 can be expressed as fractions, but √99 cannot.
In set C, -6, -√225, and 4 7/8 can all be expressed as fractions.
In set D, √21 is not a rational number, while 0 and 0.75 are rational numbers.
Therefore, set C is the only set that contains all rational numbers.
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can someone please answer this or explain it?
Answers
The x in the formula is the depth.
You are given two different depths, replace x with the depths, solve for T, then subtract the to find the difference:
At 1200 meters the temperature is:
T = 4500/1200 = 3.75 degrees
At 3750 meters the temperature is:
T = 4500 / 3750 = 1.20 degrees.
The difference in temperature between the two depths is:
3.75 - 1.20 = 2.55 degrees C.
if x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.
Answers
Answer:
x =7
Step-by-step explanation:
Remark
A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 .... Each term is multiplied by a common number and the term before it. In this case the common term is 3. To get the next term after 9, you multiply 9 by 3.To get the common ratio divide the second term by the first and then the third term by the secondEquation
(x + 2)/(x - 4) = (3x + 6)/ (x + 2)
Solution
I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.
(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.
(x + 2)/(x - 4) = 3/1 Cross multiply(x + 2)*1 = 3*(x - 4) Remove the brackets on the right.x + 2 = 3x - 12 Add 12 on both sides.x + 2 + 12 = 3x - 12 + 12 Simplifyx + 14 = 3x Subtract x from both sides14 = 3x - x2x = 14 Divide by 2x = 14/2x = 7HELP! Find the upper limit for the zeroes 2x^4-7x^3+4x^2+7x-6= 0
A. -1
B. 4
C. 5
Please explain!
Answers
Answer:
x = 2 or x = 1 or x = -1 or x = 3/2 thus from the answers given only A: applies
Step-by-step explanation:
Solve for x over the real numbers:
2 x^4 - 7 x^3 + 4 x^2 + 7 x - 6 = 0
The left hand side factors into a product with four terms:
(x - 2) (x - 1) (x + 1) (2 x - 3) = 0
Split into four equations:
x - 2 = 0 or x - 1 = 0 or x + 1 = 0 or 2 x - 3 = 0
Add 2 to both sides:
x = 2 or x - 1 = 0 or x + 1 = 0 or 2 x - 3 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0 or 2 x - 3 = 0
Subtract 1 from both sides:
x = 2 or x = 1 or x = -1 or 2 x - 3 = 0
Add 3 to both sides:
x = 2 or x = 1 or x = -1 or 2 x = 3
Divide both sides by 2:
Answer: x = 2 or x = 1 or x = -1 or x = 3/2