The angle θ = 133π/72 radians is equivalent to 332.5° degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To convert radians to degrees, use the following formula:
Angle in degrees = angle in radians × 180°/π
Here's how to apply this formula to the given angle:
θ= 133π/72 radians
θ in degrees = (133π/72) × 180°/π
θ in degrees = (133/72) × 180
θ in degrees = 332.5°
Therefore, the angle θ = 133π/72 radians is equivalent to 332.5° degrees.
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Solve for Y please!!!
Lacie is filling a bucket with water. Which is the best unit for Lacie to use to describe the amount of water in a full bucket? A. millimeters B. milliliters C. liters D. meters
Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?
THIS IS A 3-STEP QUESTION PLEASE ASWER ACCORDINGLY! THANKS !!!
3 sisters are each 2 years apart in age. The youngest sister is Emily, the middle sister is Samantha and the oldest sister is Lauren. Together their combined ages are 42. How old is each sister?
a. Define the variable(s).
b. Write an equation for this situation using one variable.
c. Solve the equation for the ages of the 3 sisters.
The volume of a cones is 6 pie, if a cylinder has the same diameter and height as the cone what is it's volume?
Sam bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 38 cards left. How many cards did Sam start with?
by definition, empirical is equal to
number of successful trials/ total number of trials
Step-by-step explanation:
answer plz I reallllllly need it it is proportion
John is walking home with his younger brother, Don. Their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet. John decides to walk along two sides of the lot, While don takes the diagonal path home. About how much farther does john walk than don?
The distance that John walk more than Don is 356.60 ft.
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
Given that John is walking home with his younger brother and their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet.
Since John is walking on the sides, the lenght covered by John will be the sum of the sides.
Sum of the sides of the rectangle = 500 ft + 800 ft
Sum of the sides of the rectangle = 1300 ft
Further, Don is walkin on the diagonal, the lenght covered by Don will be the diagonal of the rectangle.
(Diagonal)² = (500 ft)² + (800 ft)²
(Diagonal)² = 250000 ft² + 640000 ft²
Diagonal² = 890000 ft²
Diagonal = 943.39811 ft
The distance that John walk more than Don is:
Distance = 1300 ft - 943.39811 ft = 356.60 ft
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Which of the following are miscellaneous taxes? Gasoline tax License plate fees Hunting license fees Inheritance tax Marriage license fees
Its all five of them
Jack decided to save 15% of his monthly allowance of $15.00. How much is he saving each month?
*show work*
Jack saving 2.25 $ each month
We have given that monthly allowance of jack is 15$
He decides to save 15% of his monthly allowances
We have to calculate the saving of each moth.
Therefore,
we have to find the 15% in decimal form,
What is the formula for finding the percentage in decimal form:
[tex]decimal form =\frac{x}{100}[/tex]
Where x is in %
Therefore,
15%=15/100=0.15
Jack want to save 0.15 from his monthly allowance of 15$
Therefore,
15(0.15)=2.25
Therefore,
Jack saving 2.25 $ each month.
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1/4 of 24 on tape diagram
The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7 inches?
Answer with Step-by-step explanation:
The volume of cylinder is given by
V=πr²h
Where r is the radius and h is the height
The volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches.
50.265=π×2²×4
⇒ π=50.265/16
Now when r=3 inches and h=7 inches
V=π×3²×7
[tex]V=\dfrac{50.265}{16}\times 9\times 7\\ \\V=199.336[/tex]
Hence, volume of the cylinder when the radius is 3 inches and the height is 7 inches is:
199.336 cubic inches
an acute angle is in a right triangle with cos 9/10. What is the value of sec?
the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in terms of its speed v. Estimate the stopping distance if the brakes are applied when the car is traveling at 71 miles per hour.
The estimated stopping distance when the car is traveling at [tex]71\ miles\ per\ hour[/tex] is approximately [tex]{91.84}\ feet[/tex].
To find the mathematical model that relates the stopping distance [tex]\( d \)[/tex] to the speed [tex]\( v \)[/tex], given that stopping distance is directly proportional to the square of the speed, we can write:
[tex]\[ d = k v^2 \][/tex]
where [tex]\( k \)[/tex] is the proportionality constant.
Given that the car required [tex]90\ feet[/tex] to stop when its speed was[tex]70\ miles \ per\ hour[/tex], we can use this information to find [tex]\( k \)[/tex]
Convert the speed from miles per hour to feet per second (since [tex]1 \ mile = 5280 \ feet\ and\ 1\ hour = 3600 \ seconds[/tex]):
[tex]\[ 70 \text{ mph} = 70 \times \frac{5280}{3600} \text{ fps} = 102.67 \text{ fps} \][/tex]
Now, substitute [tex]\( v = 102.67 \) fps[/tex] and [tex]\( d = 90 \) feet[/tex] into the equation:
[tex]\[ 90 = k \times (102.67)^2 \][/tex]
Calculate [tex]\( (102.67)^2 \)[/tex]
[tex]\[ (102.67)^2 = 10545.84 \][/tex]
[tex]\[ 90 = k \times 10545.84 \][/tex]
Solve for [tex]\( k \)[/tex]
[tex]\[ k = \frac{90}{10545.84} = 0.00853 \][/tex]
Now, substitute [tex]\( k \)[/tex] back into the model:
[tex]\[ d = 0.00853 v^2 \][/tex]
Estimate the Stopping Distance at [tex]71 \ miles\ per\ hour[/tex]
Convert [tex]71 \ miles\ per\ hour[/tex] to feet per second:
[tex]\[ 71 \text{ mph} = 71 \times \frac{5280}{3600} \text{ fps} = 103.87 \text{ fps} \][/tex]
Now, calculate the stopping distance [tex]\( d \)[/tex] at this speed:
[tex]\[ d = 0.00853 \times (103.87)^2 \][/tex]
[tex]\[ d = 0.00853 \times 10781.14 \][/tex]
[tex]\[ d = 91.84 \][/tex]
Suppose consumers will purchase q units of a product at a price of StartFraction 200 Over q EndFraction plus 3 dollars per unit. What is the minimum number of units that must be sold in order that sales revenue be greater than $9000? The minimum number of units sold must be greater than nothing.
Explain why 1/12+1/12+1/12 is the same as 1/4
Explanation of why 1/12+1/12+1/12 equals 1/4 through adding fractions with common denominators.
Adding fractions:
Convert all fractions to have a common denominator.
Add the numerators together.
Keep the denominator the same.
Therefore, 1/12 + 1/12 + 1/12 = 3/12 = 1/4.
how to measure the length in meters of a poster. explain
What does the graph of f(x)=-(x-3)^2+11 look like
Answer:
opens downward with a vertex of (3,11)
Step-by-step explanation:
just took the test
it takes 45 minutes for 4 people to paint 5 walls. How many minutes does it take for 6 people to paint 4 walls?
So I was doing my math homework and I got stuck on this one... Can anyone please help
Which expression is equivalent to(4+6i)^2
the answer is -20+48i
Tamera earned an A on 5/8 of her spelling tests.Of those spelling tests,she earned a perfect score on 1/5 of them.
On what fraction of tamera's total spelling tests did she earn a perfect score?
If Tamera took 32 spelling test,on how many did she earn a perfect score?
Answer:
1/8
4
Step-by-step explanation:
She got an A on 5/8 of all tests.
She got a perfect score on 1/5 of the 5/8.
1/5 * 5/8 = 5/40 = 1/8
She took a total of 32 tests.
1/8 * 32 = 4
Answer:
1/8
4
Explain how to write thirteen divided by thirty-three as a divison expression AND as a fraction!
During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she drink in total?
Sasha drank a total of 51⁄2 cups of water by converting the pints to cups and then adding the half cup she drank on the way home.
To calculate the total amount of water Sasha drank, we need to add the volume of water she drank during practice and the volume she drank on the way home. However, we first need to convert the measurements so that they are in the same unit.
There are 2 cups in a pint, so 21⁄2 pints of water is equivalent to 5 cups of water (since 2 pints = 4 cups and 1/2 pint = 1 cup). Adding the additional 1/2 cup she drank on the way home gives us:
5 cups (from 21⁄2 pints)+ 1/2 cup (drank on the way home)
5 + 1/2 = 51⁄2 cups in total
Therefore, Sasha drank a total of 51⁄2 cups of water.
Find two solutions to each equation in the interval -90°<θ<270°
cos θ = 0.766
tan θ = -5
cot θ = 2
sin θ = -0.31
sec θ = (18/11)
csc θ = 6
Three golfers, Vijay, Ernie, and Phil , during five years had a total of 221 top-10 finishes. Ernie had 13 more top-10 finishes than Phil. Vijay had 16 more top-10 finishes than Phil. Determine the number of top-10 finishes for each golfer.
Which of the following is an unbiased question?
Which do you prefer, a nice, luxury Audi or a basic Ford?
Would you rather take a vacation to the mountains or to the ocean?
Which would you prefer, a chicken sandwich or a juicy, tasty burger?
Most people say they would prefer a new governor over the current one, what do you think?
A state park is designed in a circular pattern as shown. A park ranger drives along the circular path from the ranger station to the nature center and then from the nature center to the petting zoo. How far does he drive to the nearest tenth of a mile?
A) 1.7 miles
B) 2.3 miles
C) 3.7 miles
D) 4.7 miles
Answer:B
Step-by-step explanation:
Given:Ranger Station to Nature Center = 90°Nature Center to petting zoo = 40°Petting Zoo to Tennis Court = 120°Tennis Court to Pool = 65°Pool to Ranger Station = 45°radius = 1 milearc length = 2πr angle/360°Ranger station to nature center.arc length = 2 * 3.14 * 1 mile * 90°/360°arc length = 2 * 3.14 * 1 mile * 0.25arc length = 1.57 milesNature center to Petting Zooarc length = 2 * 3.14 * 1 mile * 40°/360°arc length = 2 * 3.14 * 1 mile * 0.11arc length = 0.70 miles1.57 miles + 0.70 miles = 2.27 miles or 2.3 miles CHOICE B
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