Answer: radius = 5.83 cm height = 8.12 cm
Step-by-step explanation:
First, let's find the circumference of the 210° section of the circle.
[tex]C=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\C=2\pi(10)\bigg(\dfrac{210^o}{360^o}\bigg)\\\\\\C=\dfrac{35}{3}\pi[/tex]
The circumference of the the cone is [tex]\dfrac{35}{3}\pi[/tex] . We can use this to find the radius .
[tex]C=2\pi r\\\\\dfrac{35}{3}\pi=2\pi r\\\\\\\dfrac{35\pi}{3\cdot 2\pi}=r\\\\\\\dfrac{35}{6}=r\\\\\\5.83=r[/tex]
When you fold the 210° section into a cone, the slant height is the original radius of 10. We can use the radius and slant height of the cone to form a right triangle with the height. Use the Pythagorean Theorem to find the height.
radius² + height² = slant height²
[tex]\dfrac{35}{6}^2\ +\ h^2=10^2\\\\\\.\qquad \quad h^2=10^2-\bigg(\dfrac{35}{6}\bigg)^2\\\\.\qquad \quad h=\sqrt{\dfrac{6^2(10)^2-35^2}{6^2}}\\\\\\.\qquad \quad h=\sqrt{\dfrac{2375}{36}}\\\\\\.\qquad \quad h=8.12[/tex]
find three consecutive even integers whose sum is 54
4.9x 10^2 as a decimal number????
Answer:
490.0...
Step-by-step explanation:
4.9 x 10^2
(squared)
4.9 x 10 x 10
the easiest way to do this is to move the decimal 2 places to the right, as
10 x 10 = 100
4.9 x 100 = 490.0...
simplify (-4x^5)(4x^2)
Answer:
-16x^7
Step-by-step explanation:
Multiply -4 by 4 and x^5 by x^2:
(-4)(4)(x^5)(x^2) = -16x^7
Answer:
14
Step-by-step explanation:
What is the distance formula
Answer:
the firdst image in the uper left corner
Step-by-step explanation:
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\:\:}}[/tex][tex]\\[/tex]
Cheers!
what is the answer to 3(5)
Answer: 15
Step-by-step explanation:
3x5=15
although a meteorite might travel millions of kilometers to reach earth the particles of iron in a meteorite are identical to the particles of iron an iron skillet because iron is a
pure substance
metalloid
mixture
compound
10 points!:)
Answer:
pure substance! I checked.
Step-by-step explanation:
In chemistry, a substance is pure if it has a homogeneous chemical composition. ... Examples of pure substances include iron, steel, and water. Air is a homogeneous mixture that is often considered to be a pure substance.
what is 8 ninths plus 7 fifteenths
Answer:
122/90 or 1 32/90
Step-by-step explanation:
8/9 and 7/15 have the common denominator of 90.
Step 1:
8/9 + 7/15
Step 2:
80/90 + 42/90
Step 3:
122/90
Answer:
122/90 or 1 32/90
Hope This Helps :)
To obtain the graph of y = (x - 8)2, shift the graph of y = 2____ units.
Answer:
y = 2(8-x)
Step-by-step explanation:
you just swich around the numebers and the( ta da)
Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.
Answer:
Positive
Step-by-step explanation:
-13 plus positive 20 equals positive 7
Help wanted! what is 20 divided by 5 times 1?
its 4,
=(20/5)1
= (4)1=4
Answer:
4
Step-by-step explanation:
20÷5x1
20÷5=4
4x1=4
Please show all work and not just the answers.
note: -2.5 is equivalent to the fraction -5/2
==============================================
Explanation:
For now, let's just think of a single number line. If for example we had the values 3 and 7 on it, then 5 would be the midpoint. We find this by adding 3 and 7 to get 10, then cutting in half to get 5.
The value 5 is two units away from both endpoints 3 and 7.
Now let's move onto the 2D xy grid. We'll use the same idea to get the midpoint. Though we'll work on x and y separately. Note how the x axis is basically a number line, and so is the y axis as well. Together those two number lines help pinpoint an exact location.
----------
The endpoints G(-11,4) and H(-1,-9) have x coordinates of -11 and -1. They add to -11+(-1) = -12. Cut this in half to get -12/2 = -6. This is the x coordinate of the midpoint.
Repeat for the y coordinates. G and H have y coordinates of 4 and -9. They add to 4+(-9) = -5 which cuts in half to get -5/2 = -2.5 which is the y coordinate of the midpoint.
Put together, the midpoint is located at (-6, -2.5)
If the midpoint is labeled M, then segments MG and MH are the same length. The midpoint cuts segment GH in half.
Suppose PQ has P(a,b) and midpoint M(c,d). What is an expression for PM? Use the expression for PM to find an expression for PQ.
PM= ________
Answer:
[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]
Step-by-step explanation:
Relevant data provided as per the requirement of question is shown below:-
M(c,d)is a midpoint of PQ
PM = MQ
The expression for PM to find an expression for PQ is shown below:-
Where,
[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]
Which is equals to MQ
and
[tex]MQ = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
For more clarification, the diagram has been presented below:-
I______I______I
P M Q
(a,b) (c,d)
a=14; what does 15+5+a equal
Answer:
34
Step-by-step explanation:
So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:
15 + 5 + 14
15 + 5 = 20
20 + 14 = 34
All you do is replace a with 14 then add 15, 5 and 14 getting 34.
HOPE IT HELPED
The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall
Answer:
3.98964 inches
Step-by-step explanation:
We are given;
Mean; μ = 4 inches
Standard deviation; σ = 0.01 inch
Probability = 15% = 0.15
Formula to calculate z-value is given by;
z = (X - μ)/σ
Now, since we are given the probability to be below 0.15,thus;
From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.
Thus, plugging in the relevant values into the z score equation gives;
-1.036 = (x - 4)/0.01
Cross multiply to give;
-0.01036 = x - 4
x = 4 - 0.01036
x = 3.98964 inches
I'm rather stuck on this question
Answer:
m<a = 30°
m<b = 90°
m<c = 60°
Step-by-step explanation:
Angles a, b, and c are all angles on a straight line.
Angles on a straight line add up to 180°.
Therefore, a + b + c = 180°
Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:
Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°
m<a = [tex] \frac{1}{6} * 180 = 30 [/tex]
m<b = [tex] \frac{3}{6} * 180 = 90 [/tex]
m<c = [tex] \frac{2}{6} * 180 = 60 [/tex]
Determine the statement that is logically equivalent to this conditional statement.
If you have a small lawn to mow, then you do not live in a mansion.
A)
If you have a small lawn to mow, then you live in a mansion.
B)
If you do not have a small lawn to mow, then you live in a mansion.
If you live in a mansion, then you do not have a small lawn to mow.
D)
If you do not live in a mansion, then you have a small yard to mow.
Answer:
C) If you live in a mansion, then you do not have a small lawn to mow.
Step-by-step explanation:
Statement is
If you have a small lawn to mow, then you do not live in a mansion. "If p then q"Equivalent statement as per the rule should be:
1. Not p or q2. q or not p3. If not q then not pOptions to identify equivalent statement
A) If you have a small lawn to mow, then you live in a mansion.
FalseB) If you do not have a small lawn to mow, then you live in a mansion.
FalseC) If you live in a mansion, then you do not have a small lawn to mow.
True as per rule 3 aboveD) If you do not live in a mansion, then you have a small yard to mow.
FalseCorrect answer is option C)
m DEF = 144° and m GEF = 69°. Find m DEG
Answer:
Angle DEG = 75 degrees
Step-by-step explanation:
Step 1:
m DEF - m GEF = m DEG
Step 2:
144 - 69 = 75
Answer:
75 degrees
negative two minus negative 5
Answer:
3
Subtract the smaller number from the greater number.
You get -3, right?
Remeber the key rule- negative minus negative is positive.
Maude and Ahmed each drove their cars for 4.6 hours. In that time, Maude drove 230 miles. Ahmed drove 10 miles per hour slower than Maude drove. Write an equation that can be used to determine the distance, y, in miles, that Ahmed drove in h hours. Use your equation to determine how many more miles Maude drove in h hours than Ahmed drove. Show your work.
Answer:
y = 4.6 * (230 -10) ... 1,012 - Ahmed ... 1058 - Maude
3995.996 to the nearest hundreth
Answer:
Step-by-step explanation:
3995.996 to the nearest hundredth
9 is in the hundredths place
to the right is 6 and it is higher than 5
therefore it is 3996
Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the concession stand. Their total was $49.00. How many people went to the movies?
Answer:
4 people
Step-by-step explanation:
Let's first write an equation.
We want to find the number of tickets t
The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.
$49 = $8.50t + $15
Solve for t, first subtract $15 from both sides.
$49 - $15 = $8.50t
$34 = $8.50t Divide both sides by $8.50
$34/$8.50 = $8.50t/$8.50
$34/$8.50 = t
4 = t
4 tickets meaning 4 people went.
Solve for y
y - 5x = 11?
Answer:
y=16
Step-by-step explanation:
y = 11-5x
= 16
y = 16this is the answer
xxxx delete answer xxxx
6 + x is an example of _____. a variable an expression a constant a formula
Answer: a formula
Step-by-step explanation:
Its easy, just because you see that there is a variable, but there is also a formula. The answer could be a formula. If it was all letters, the answer would be variable, but its not. The answer is a formula.
Answer:
B. An Expression
Step-by-step explanation:
An expression is one term or a combination of multiple terms using an addition or subtraction sign.
Hope I was able to help you!
Find two rational numbers between -1 and 0
Answer:
-1/2 and -3/4
Step-by-step explanation:
rational numbers are numbers that can be expressed in a fraction
Which of the following fractions is an improper fraction?
2/3
6/11
21/25
8/7
Answer:
8/7
Step-by-step explanation:
The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.
|7 – x| + |3x| when x = 2
Answer:
Answer= 11
Step-by-step explanation:
|7 – (2)| + |3 (2)|
|5| + |6| = 5 + 6 = 11
which coordinate pair represents the reflection of poin A across the y-axis
Answer:
i need and image
Step-by-step explanation:
35 over 11 rounded to the nearest tenth
PLEASE HELP YOU WILL BE MARKED BRAINLIEST
Find the factored form of the expression. Check your answer. 6x2 + 54
Answer:
6⋅(x+3)⋅(x−3)
Step-by-step explanation:
A 13/16
A -inch-long bolt is used in a machine. What is the length of the bolt written as a decimal?
Answer:
13/16 = 0.813
Step-by-step explanation: