Find the measure of the reference angle for each angle. Part 3
16. θ = -15°
17. θ = 220°
Answers
Answer:
16. 15°
17. 40°
Step-by-step explanation:
Please see attached picture for full solution.
Related Questions
To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet
Answers
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometryCircumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]
where d is the diameter and r is the radius.
ApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given that we are riding a Ferris wheel and have traveled 157 feet.
Step 2: SolveLet's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:
[Circumference Formula] Substitute in known variables (take π ≈ 3.14):[tex]\displaystyle\begin{aligned}157 & = 2(3.14) r\end{aligned}[/tex]Divide both sides by 2(3.14) [Division Property of Equality]:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\\end{aligned}[/tex]Rewrite the result:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\\end{aligned}[/tex]Simplify:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\r & = \boxed{ 25 }\end{aligned}[/tex]
∴ the radius of the Ferris wheel is equal to 25 feet.
Answer*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274
The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.
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Learn more about circles: https://brainly.com/question/15306477
Learn more about Geometry: https://brainly.com/question/23669892
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Topic: Geometry
Unit: Circles
Answer:
50 feet
Step-by-step explanation:
trust
Edith wants to make a paperweight at pottery class. She wants the paperweight to have a pyramid-like shape with a base area of 120 square centimeters, and she wants it to weigh 400 grams. The density of the clay she is using is 1.6, point, 6 grams per cubic centimeter.
What should be the height of the paperweight?
Answers
Answer: 6.25
Step-by-step explanation:
I took the quiz on Khan Academy and it’s right.
The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?
Answers
Answer:
ethanol
Step-by-step explanation:
The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.
The enthalpy of combustion of the unknown compound is
ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol
To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,
e% = ( | ΔHx - ΔH | / ΔHx ) x 100%
where ΔHx is the enthalpy of combustion of the probable compound.
The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol
Compound Enthalpy of combustion (kJ/mol) Deviation
Methane - 890.7 43.8%
Ehylene -1411.2 9.3%
Ethanol -1368.6 6.5%
According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.
Read more on Brainly.com - https://brainly.com/question/12081414#readmore
Answer: ethanol
Step-by-step explanation:
Got it right on edge
3x^2 - 4x + 9x - x^2
Answers
Answer:
2x^2 +5x
Step-by-step explanation:
3x^2 - 4x + 9x - x^2
Combine like terms
3x^2 -x^2 -4x+9x
2x^2 +5x
Answer:
Just combine like terms:
2x^2+5x
Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?
Answers
Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]
Therefore:
Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]
[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]
Answer: length of pencil is 9.8 inches.
Step-by-step explanation:
The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is
d = √(l² + w² + h²)
Where
d = diagonal = length of pencil
w = width = 4 inches
h = height = 4 inches
l = length = 8 inches
Therefore,
d = √(4² + 4² + 8²) = √96
d = 9.8 inches
Which of the pairs of angles are vertical angles and
thus congruent?
Answers
Answer:
When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.
Step-by-step explanation:
Answer:
A+G
Step-by-step explanation:
:D
x
[tex] {x}^{2} - 12x + 36 = 0[/tex]
Answers
During a science investigation six students divided 15 pounds of potting soil equally write an equation that shows how many pounds is a potting soil each student received between which two whole numbers does your answer lie
Answers
Answer: it lies between 2 and 3.
Step-by-step explanation:
You equation should be like this because what you wrote is not an equation.
15/6= p where P is the number of pounds each student received.
p=2.5
I have been stuck on this for a while
Answers
Answer:
Actually the answer would be 120.
4.16×48=200
3/5×200=120.
120 people out of five play.
find angle C! please and thankyou
Answers
Answer: it's around 40
Step-by-step explanation:
What is the area of the triangle (I need this today pls help)
Answers
Answer: 24 units^2
(12*4)/(2)=24
Step-by-step explanation:
Answer:
Step-by-step explanation:
4*12/0.5=96
25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5
Answers
Answer:
no solutions
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
Subtract 13 from each side
(X-2)^2/3 + 13-13 = 5-13
(x-2) ^2/3 = -8
Raise each to the 3/2 power
(x-2) ^2/3 ^3/2= -8^3/2
(x-2) = (-512) ^1/2
We cannot take the square root of a negative number and remain in the real number system
There are no solutions
Answer:
No real solutions
Imaginary/complex solutions:
x = 2 +/- 16sqrt(2)i
Step-by-step explanation:
(X-2)^2/3 + 13 = 5
(X-2)^2/3 = -8
(X - 2)² = (-8)³
X - 2 = +/- sqrt(-512)
No real solution
x = 2 +/- 16sqrt(2)i
(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5
[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5
(-512)^⅓ + 13 = 5
-8 + 13 = 5
5 = 5
A culture started with 2,000 bacteria. After 2
hours, it grew to 2,200 bacteria. Predict how
many bacteria will be present after 19 hours.
Round your answer to the nearest whole
number.
und to four
P = Aekt
Enter the correct answer
DONE
O
?
Answers
Answer:
2450
Step-by-step explanation:
First you will divide;
200÷4=50
Then you multiply;
50×9=450
Last you add;
2000+450=2450
Hope this helps :D
Answer:
4949 is your answer
Step-by-step explanation:
Robin is 11 years old. Her mother, Gwen, is 2 years more than 3 times Robins age. How old is Gwen?
Answers
Answer:
35
Step-by-step explanation:
11 × 3 = 33
+ 2 = 35
Robin is 11 (11)
Gwen is 2 years (+2) more than 3 times (×3) Robins age
Answer:
35.
Step-by-step explanation:
Hello there!
Solve the given equation to find Gwen's age:
3(11)+2
33+2
35
:)
A) y=1.1x+23
B) y=1.25x+20
C) y=1.25+40.67
D)y+1.4+40.67
Answers
Answer:
I believe C is the correct answer because the graph starts above 40 on y axis and D is incorrect because of the y + not y=
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .
Answers
Complete Question:
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
250(1+0.018/2)^2t
Use the given expression to complete the statements below.
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
1st Blank:
Product
Sum
Quotient
Square
2nd Blank:
Quotient
Product
Difference
Sum
3rd Blank:
Compounding Periods
Years
Months
Answer:
First blank: product
Second blank : Sum
Third blank : years
Step-by-step explanation:
The expression :
250(1+0.018/2)^2t
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
The first blank represents product which adopts the use of the bracket () symbol
The second blank is the sum of one and the rate of increase depicted with the addition '+' sign
The third blank represents years which is the period of time in years for which the money was kept in the scholarship account
Theater a sells popcorn in a rectangular prism theater B sells popcorn in a similar tub both cost five dollars which theater gives you a better deal find the volume of theater is popcorn
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimensions of tubs used by theatre A and B is missing.
However, I'll solve the question as follows.
First, it should be noted that the tub with highest volume gives the best deal.
This is so because both pop corns go for the same price of $5 and the tub with the highest volume contains more popcorn.
The volume of a rectangular prism is calculated by
Volume = Length * Breadth * Height
Take for instance, the dimension of tub A is length = 4cm, breadth = 5cm and height = 6cm
And the dimension of tub B is length = 3cm, breadth = 7cm and height = 5cm
The volume of tub A (theatre A) = 4cm * 5cm * 6cm
Volume = 120cm³
The volume of tub B (theatre B) = 3cm * 7cm * 5cm
Volume = 105cm³
Because the volume of tub A is greater than that of tube B, then tube A offers the best deal
If you apply this steps in your question, you'll arrive at the right answer.
You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?
Answers
Answer:
2 m/s=90 meters/45 seconds
Find the vertex of the parabola. Write your answer as an ordered pair.
y equals 2 x squared plus 3
Answers
Answer:
(0,3)
Step-by-step explanation:
When X=0, Y=3
Tara and her parents want to save at least $40,000 for college in 8 years. Which statement describes the most effective savings plan for Tara and her parents to meet their goal?
Answers
Answer:
the answer is b
Step-by-step explanation:
Answer:
B on edgen 2020
Step-by-step explanation:
What is the perimeter of a cross section perpendicular to face QRST of the cube show below
Answers
Answer:
Please provide an image of what you are talking about. That way we can help you more
Answer:
the answer is 8 units
of the cube shown
conner has a bag of coloured tiles. there are 1 green, 3 black, 5 blue and 6 red. he reaches into the bag and chooses 1 tile without looking. what is the probibility that the tile is not red?
Answers
Answer:
Um, i'm not the best but I'm trying my best, but I think it is 66%
Step-by-step explanation:
Hope this helps
the formula for area of a circle is a = πr2. the radius r of the circle may be expressed as
Answers
Answer:
The formula to find a circle's area π (radius)2 usually expressed as π⋅r2 where r is the radius of a circle. The area of a circle is all the space inside a circle's circumference.
Step-by-step explanation:
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius . What is the slope-intercept form of the equation of ? Show your work.
Answers
Corrected Question
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.
Answer:
y=0.62x+2
Step-by-step explanation:
In the attached circle drawn using Geogebra
Center is at point A(0,2)Point B on the circumference has coordinates (1.7,3.05)Radius of the circle=2 UnitsGradient of AB, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)[/tex]
[tex]m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62[/tex]
Line AB intercepts the y-axis at y=2, therefore: b=2
The slope-intercept form of the line AB (in this case) is therefore:
y=0.62x+2
For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.
You can try one of your own!!
Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?
A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above
Answers
Answer:
I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right
Step-by-step explanation:
HOPE THIS HELPS
Why is the perimeter of the parallelogram?
Answers
Answer:
the perimeter is 32 squares
Step-by-step explanation:
Easy math triangle question , please help picture attached
Answers
Answer:
x = [tex]\sqrt{120}[/tex] ≈ 10.95
Step-by-step explanation:
Use Pythagorean Theorem a²+b²=c²
6²-4²=a²
36-16=a²
a²=20
a=[tex]\sqrt{20}[/tex]
[tex]\sqrt{20[/tex]²+10²=c²
20+100=c²
c²=120
c= [tex]\sqrt{120}[/tex] ≈ 10.95
Given the domain {-2,1,5} what is the range for relation 4x+y=3
Answers
Answer:
(-2,11) (1,-1) (5,-17)
Step-by-step explanation:
the range of this relation is 11,-1,-17
there are 8 beech trees 4 oak trees 17 cedar trees and 11 other trees
what present of beech trees are there out of the 40
Answers
Answer:
1/5
Step-by-step explanation:
8 beech trees out of 40
8/40 = 1/5
A salad recipe calls for 1 cups of chopped tomatoes. The recipe calls for 4 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?
Answers
Answer:
You need 4 cups.
Step-by-step explanation:
If you have 1 cup of tomatoes, and you need 4 times the amount of lettuce, you multiply 1 times 4. Giving you 4 cups of lettuce.
