45 results

degree - A unit of angle measurement, or a unit of temperature measurement

3/10 of a circle equal how many degrees

3/10 of a circle equal how many degrees
A circle is 365 degrees. So [URL='https://www.mathcelebrity.com/fraction.php?frac1=365&frac2=3%2F10&pl=Multiply']we multiply 365 * 3/10 in our search engine[/URL] and get:
219/2
219/2 = [B]109.5 degrees[/B]

4 divided by sin60 degrees

4 divided by sin60 degrees.
We can write as 4/sin(60).
[URL='https://www.mathcelebrity.com/anglebasic.php?entry=60&coff=&pl=sin']Using our trigonometry calculator[/URL], we see sin(60) = sqrt(3)/2.
So we have 4/sqrt(3)/2.
Multiplying by the reciprocal we have:
4*2/sqrt(3)
[B]8/sqrt(3)[/B]

5/12 of a circle what measure in degrees

5/12 of a circle what measure in degrees
A circle measures 360 degrees. We [URL='https://www.mathcelebrity.com/fraction.php?frac1=5%2F12&frac2=360&pl=Multiply']multiply as follows[/URL]:
5/12 * 360 = [B]150 degrees[/B]

7.5 degrees C to -5.21 degrees C. Kayla and Jason were discussing the changes in temperature. Kayla

7.5 degrees C to -5.21 degrees C. Kayla and Jason were discussing the changes in temperature. Kayla said, "Wow, I can't believe the temperature fell 12.71 degrees C." Jason said, "What are you talking about? The temperature only fell 2.29 degrees C." Who is correct
[B]Kayla[/B] is correct. The temperature change TC is:
TC = High Temp - Low Temp
TC = 7.5 - (-5.21)
TC = 7.5 + 5.21 ([I]Since a minus negative is positive)[/I]
TC = 12.71

8 degrees below zero

8 degrees below zero
Below zero is written as a negative:
[B]-8[/B]

A Fahrenheit thermometer shows that the temperature is 15 degrees below zero. Enter the integer that

A Fahrenheit thermometer shows that the temperature is 15 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit.
Below zero means negative in Fahrenheit, so we have:
[B]-15[/B]

A new company president is said to have caused the company "to do a 180." Before the new president,

A new company president is said to have caused the company "to do a 180." Before the new president, the company was losing money. What is the company most likely doing under the new president?
A 180 is a completely different direction. Since 180 degrees means the other way, a half-circle, a switch in direction.
This means if the company was losing money, after doing a "180", they're making money.

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the hor

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.
Height = Distance * Sin(Horizon Angle)
Height = 2500 * [URL='http://www.mathcelebrity.com/anglebasic.php?entry=12&coff=&pl=sin']Sin(12)[/URL]
Height = 2500 * 0.207911691
Height = [B]519.78 feet[/B]

A thermometer has a range of 1.5 degrees of the temperature, what is the maximum and minimum at 87.4

A thermometer has a range of 1.5 degrees of the temperature, what is the maximum and minimum at 87.4 degrees
Range = Max - Min
Divide this by 2 to get the lesser half and larger half:
Half-Range = 1.5/2
Half-Range = 0.75
[U]Our Maximum temperature is:[/U]
Max Temp = Current Temp + Half-Range
Max Temp = 87.4 + 0.75
Max Temp = [B]88.15
[/B]
[U]Our Minimum temperature is:[/U]
Min Temp = Current Temp - Half-Range
Min Temp = 87.4 - 0.75
Min Temp = [B][B]86.65[/B][/B]

A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from a

A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy bears and uses this sample to estimate the mean weight of teddy bears and the sample standard deviation. How many degrees of freedom are there in the estimate of the standard deviation?
DF = n - 1
DF = 10 - 1
[B]DF = 9[/B]

An angle is 30 degrees less than 5 times it's complement. Find the angle.

An angle is 30 degrees less than 5 times it's complement. Find the angle.
Let the angle be a. The complement of a is 90 - a. We're given the following equation:
a = 5(90 - a) - 30 <-- Less means we subtract
Multiplying though, we get:
a = 450 - 5a - 30
a = 420 - 5a
[URL='https://www.mathcelebrity.com/1unk.php?num=a%3D420-5a&pl=Solve']Typing this equation into our search engine[/URL], we get:
a =[B] 70[/B]

An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second

An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
We want to convert revolutions per minute to revolutions per second:
3000 revolutions per minute / 60 seconds per minute = 50 revolutions per second
Using our [URL='http://www.mathcelebrity.com/anglecon.php?quant=50&type=revolution&pl=Calculate']revolutions to degrees calculator[/URL], we get [B]18,000[/B]

At 4am the outside temperature was -28 By 4pm it rose 38° What was the temperature at 4pm

At 4am the outside temperature was -28 By 4pm it rose 38° What was the temperature at 4pm
-28 + 38 = [B]10 degrees (above zero)[/B]

At 7:00 AM, the temperature started dropping 1 degree Celsius per hour until it reached 30 degrees C

At 7:00 AM, the temperature started dropping 1 degree Celsius per hour until it reached 30 degrees Celsius at 12:00 PM. What was the temperature at 7:00 AM?
7:00 AM to 12:00 PM is 5 hours.
1 degree per hour * 5 hours = 5 degrees.
If it's 30 degrees at 12 pm, then it was 30 + 5 = 35 degrees Celsius at 7:00 AM, since it dropped each hour.

At midnight, the temperature was -15 degrees Fahrenheit. By the next morning, the temperature had go

At midnight, the temperature was -15 degrees Fahrenheit. By the next morning, the temperature had gone up to 20 degrees. What was the temperature then?
The student meant to say gone up 20 degrees.
We start with -15.
We add 20
-15 + 20 = [B]5[/B]

Confidence Interval for the Mean

Free Confidence Interval for the Mean Calculator - Calculates a (90% - 99%) estimation of confidence interval for the mean given a small sample size using the student-t method with (n - 1) degrees of freedom or a large sample size using the normal distribution Z-score (z value) method including Standard Error of the Mean. confidence interval of the mean

Confidence Interval for Variance and Standard Deviation

Free Confidence Interval for Variance and Standard Deviation Calculator - Calculates a (95% - 99%) estimation of confidence interval for the standard deviation or variance using the χ^{2} method with (n - 1) degrees of freedom.

Decimal Degree Minutes Seconds

Free Decimal Degree Minutes Seconds Calculator - Convertes decimal degrees to degrees, minutes, seconds or degrees, minutes seconds, to decimal degrees

For the first 10 seconds of the ride, the height of the coaster can be determined by h(t) = 0.3t^3 -

For the first 10 seconds of the ride, the height of the coaster can be determined by h(t) = 0.3t^3 - 5t^2 + 21t, where t is the time in seconds and h is the height in feet. classify this polynomial by degree and by number of terms.
[URL='http://www.mathcelebrity.com/polynomial.php?num=0.3t%5E3-5t%5E2%2B21t&pl=Evaluate']Using our polynomial calculator, we determine[/URL]:
[LIST]
[*]The degree of the polynomial is 3
[*]There are 3 terms
[/LIST]

heat loss of a glass window varies jointly as the window's area and the difference between the outsi

heat loss of a glass window varies jointly as the window's area and the difference between the outside and the inside temperature. a window 6 feet wide by 3 feet long loses 1,320 btu per hour when the temperature outside is 22 degree colder than the temperature inside.
Find the heat loss through a glass window that is 3 feet wide by 5 feet long when the temperature outside is 9 degree cooler than the temperature inside.
Find k of the equation:
6*3*22*k = 1320
396k = 1,320
k = 3.33333 [URL='https://www.mathcelebrity.com/1unk.php?num=396k%3D1320&pl=Solve']per our equation solver[/URL]
Now, find the heat loss for a 3x5 window when the temperature is 9 degrees cooler than the temperature inside:
3*5*9*3.333333 = [B]450 btu per hour[/B]

How many degrees is an acute angle

How many degrees is an acute angle
An acute angle is an angle between 0 and less than 90 degrees:
[B]0 <= a < 90[/B]

if two angles are supplementary and congruent then they are right angles

if two angles are supplementary and congruent then they are right angles
Let the first angle be x. Let the second angle be y.
Supplementary angles means their sum is 180:
x + y = 180
We're given both angles are congruent, meaning equal. So we set x = y:
y + y = 180
To solve for y, we [URL='https://www.mathcelebrity.com/1unk.php?num=y%2By%3D180&pl=Solve']type this equation into our search engine[/URL] and we get:
y = [B]90. <-- 90 degrees is a right angle, so this is TRUE[/B]

Imagine a researcher wanted to test the effect of the new drug on reducing blood pressure. In this s

Imagine a researcher wanted to test the effect of the new drug on reducing blood pressure. In this study, there were 50 participants. The researcher measured the participants' blood pressure before and after the drug intake. If we want to compare the mean blood pressure from the two time periods with a two-tailed t test, how many degrees of freedom are there?
a. 49
b. 50
c. 99
d. 100
[B]a. 49[/B]
Degrees of Freedom = n - 1
Degrees of Freedom = 50 - 1
Degrees of Freedom = 49

n and m are congruent and supplementary. prove n and m are right angles

n and m are congruent and supplementary. prove n and m are right angles
Given:
[LIST]
[*]n and m are congruent
[*]n and m are supplementary
[/LIST]
If n and m are supplementary, that means we have the equation:
m + n = 180
We're also given n and m are congruent, meaning they are equal. So we can substitute n = m into the supplementary equation:
m + m = 180
To solve this equation for m, [URL='https://www.mathcelebrity.com/1unk.php?num=m%2Bm%3D180&pl=Solve']we type it in our search engine[/URL] and we get:
m = 90
This means m = 90, n = 90, which means they are both right angles since by definition, a right angle is 90 degrees.

Polynomial

Free Polynomial Calculator - This calculator will take an expression without division signs and combine like terms.

It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.

It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.

Solve for x

[IMG]https://mathcelebrity.com/community/data/attachments/0/supp-angles.jpg[/IMG]
The angle with measurements of 148 degrees lies on a straight line, which means it's supplementanry angle is:
180 - 148 = 32
Since the angle of 2x - 16 and 32 lie on a straight line, their angle sum equals 180:
2x + 16 + 32 = 180
To solve this equation for x, we [URL='https://www.mathcelebrity.com/1unk.php?num=2x%2B16%2B32%3D180&pl=Solve']type it in our math engine [/URL]and we get:
x = [B]66[/B]

Steve woke up and it was -12 Fahrenheit outside the weatherman said it was supposed to warm up to 20

Steve woke up and it was -12 Fahrenheit outside the weatherman said it was supposed to warm up to 20 degrees. how many degrees will the temperature increase
We start with a temperature of -12F
Warming up means we [U][B]add[/B][/U] degrees to the original temperature.
-12 + 20 = [B]+8F[/B]

Student-t Distribution Critical Values

Free Student-t Distribution Critical Values Calculator - Given an α value and degrees of freedom, this calculates the right-tailed test and left-tailed test critical values for the Student-t Distribution

Sum to Product and Product to Sum Formulas

Free Sum to Product and Product to Sum Formulas Calculator - Given two angles in degrees of u and v, this determines the following:

* Sin(u) ± Sin(v)

* Cos(u) ± Cos(v)

* Sin(u)Sin(v)

* Cos(u)Cos(v)

* Sin(u)Cos(v)

* Cos(u)Sin(v)

* Sin(u + v)

* Sin(u - v)

* Cos(u + v)

* Cos(u - v)

* Tan(u + v)

* Tan(u - v)

* Sin(u) ± Sin(v)

* Cos(u) ± Cos(v)

* Sin(u)Sin(v)

* Cos(u)Cos(v)

* Sin(u)Cos(v)

* Cos(u)Sin(v)

* Sin(u + v)

* Sin(u - v)

* Cos(u + v)

* Cos(u - v)

* Tan(u + v)

* Tan(u - v)

Synthetic Division

Free Synthetic Division Calculator - Using Ruffinis Rule, this performs synthetic division by dividing a polynomial with a maximum degree of 6 by a term (x ± c) where c is a constant root using the factor theorem. The calculator returns a quotient answer that includes a remainder if applicable. Also known as the Rational Zero Theorem

Terry recorded the temperature every hour from 8 AM to 1 PM. The temperature at 8 AM was 19˚. The te

Terry recorded the temperature every hour from 8 AM to 1 PM. The temperature at 8 AM was 19˚. The temperature dropped 4˚ every hour. What was the temperature at 1 PM? Group of answer choices 1 degree
Set up our temperature function T(h) where h is the number of hours since 8 AM:
T(h) = 19 - 4h <-- We subtract 4h since each hour, the temperature drops 4 degrees
The questions asks for the temperature at 1PM. We need to figure out how many hours pass since 8 AM:
8 AM to 12 PM is 4 hours
12 PM to 1 PM is 1 hour
Total time is 5 hours
So we want T(5):
T(5) = 19 - 4(5)
T(5) = 19 - 20
T(5) = [B]-1˚[/B]

The circle has an arc measure of 180 degrees

The circle has an arc measure of 180 degrees - True or False.
False. A Circle has an arc measure of 360 degrees.
A few vital facts about arcs measures, also called central angles:
[LIST=1]
[*]An arc measure [I]< [/I]180° is a minor arc.
[*]An arc measure [I]> [/I]180° is a major arc.
[*]An arc measure [I]= [/I]180° is a semicircle.
[*]An arc measure [I]= 36[/I]0° is a circle.
[/LIST]

The January record high temperature in Austin, Texas is 92 degrees. The January record low temperatu

The January record high temperature in Austin, Texas is 92 degrees. The January record low temperature is -1 degree. What is the difference between the record high and low temperatures?
Difference = High - Low
Difference = 92 - -1
Difference = 92 + 1. <-- Since minus negative equals positive
Difference = [B]93 degrees[/B]

The NJ state education department finds that in a random sample of 100 persons who attended college,

The NJ state education department finds that in a random sample of 100 persons who attended college, 40 received a college degree. What's the 95% confidence interval for the proportion of college graduates out of all the persons who attended college?
[URL='http://www.mathcelebrity.com/propconf.php?bign=100&smalln=40&conf=95&pl=Proportion+Confidence+Interval']Proportion Confidence Interval Test[/URL]
0.304 < p < 0.496 --> [B]30.4% < p < 49.6%[/B]

The ratio of the measures of the 3 angles of a triangle is 1:2:3. What is the measure of the largest

The ratio of the measures of the 3 angles of a triangle is 1:2:3. What is the measure of the largest angle in degrees?
Let the smallest angle be x.
Then we have 3 angles based on the ratio: x, 2x, 3x
We know the sum of the angles of a triangle equals 180. So we have:
x + 2x + 3x = 180
6x = 180
Divide each side by 6:
6x/6 = 180/6
x = 30
The largest angle is 3(30) = [B]90
[MEDIA=youtube]l8Lc6YtK9dg[/MEDIA][/B]

The temperature dropped 2 every hours for 6 hours. What was the total number of degrees the temperat

The temperature dropped 2 every hours for 6 hours. What was the total number of degrees the temperature changed in the 6 hours
2 degrees drop per hour * 6 hours = [B]12 degree drop[/B]

The temperature in Chicago was five (5) degrees Celsius in the morning and is expected to drop by as

The temperature in Chicago was five (5) degrees Celsius in the morning and is expected to drop by as much as 12 degrees during the day. What is the lowest temperature in Chicago for the day?
We start with 5 celsius
A drop in temperature means we subtract
5 - 12 = [B]-7 or 7 degrees below zero[/B]

The temperature is 68. What is the temperature in degrees Celsius

The temperature is 68. What is the temperature in degrees Celsius
We type [URL='https://www.mathcelebrity.com/temperature.php?temp=68&type=Fahrenheit&pl=Convert']68 degrees Fahrenheit into our search engine[/URL] and we get:
[B]20 Celsius[/B]

The temperature when Spencer arrived at school was a very chilly – 4°F. By the time school got out,

The temperature when Spencer arrived at school was a very chilly – 4°F. By the time school got out, the temperature had risen 13°F. What was the temperature when school got out?
-4 + 13 = [B]9 degrees[/B]

triangle sum theorem

The triangle sum theorem states the sum of the three angles in a triangle equals 180 degrees.
So if you're given two angles and need too find the 3rd angle, add the 2 known angles up, and subtract them from 180 to get the 3rd angle measure.

Triangle with perimeter

A triangle with a perimeter of 120.
What degree are the three sides?

Trig Angle conversions

Free Trig Angle conversions Calculator - Converts between degrees, radians, gradians, revolutions, and quadrants.

Trig Measurement

Free Trig Measurement Calculator - Given an angle θ, this calculates the following measurements:

Sin(θ) = Sine

Cos(θ) = Cosine

Tan(θ) = Tangent

Csc(θ) = Cosecant

Sec(θ) = Secant

Cot(θ) = Cotangent

Arcsin(x) = θ = Arcsine

Arccos(x) = θ = Arccosine

Arctan(x) =θ = Arctangent

Also converts between Degrees and Radians and Gradians

Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle

Sin(θ) = Sine

Cos(θ) = Cosine

Tan(θ) = Tangent

Csc(θ) = Cosecant

Sec(θ) = Secant

Cot(θ) = Cotangent

Arcsin(x) = θ = Arcsine

Arccos(x) = θ = Arccosine

Arctan(x) =θ = Arctangent

Also converts between Degrees and Radians and Gradians

Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle

what is 3 degrees below zero

what is 3 degrees below zero
Below zero means negative, so we write this as:
[B]-3[/B]

When Ms. Thelma turned on her oven, the temperature inside was 70 degrees F. The temperature began t

When Ms. Thelma turned on her oven, the temperature inside was 70 degrees F. The temperature began to rise at a rate of 20 degrees per minute. How Long did it take for the oven to reach 350 degrees F?
Figure out how many degrees we have left:
350 - 70 = 280
Let m = minutes
20m = 280
Divide each side by m
[B]m = 14[/B]