Find the measure of each angle indicated. Round to the nearest tenth.
A) 65.20
C) 55.1°
B) 51°
D) 55.70
Answers
Answer:
51
Step-by-step explanation:
=====================================================
The reference angle has AC = 12.3 as the opposite side and BC = 8.4 as the adjacent side. The tangent ratio ties the opposite and adjacent sides together.
--------
tan(angle) = opposite/adjacent
tan(theta) = AC/BC
tan(theta) = 12.3/8.4
theta = arctan(12.3/8.4)
theta = 55.6697828044967
theta = 55.7 degrees approximately
--------
arctan is the same as inverse tangent which is written as [tex]\tan^{-1}[/tex]
make sure your calculator is in degree mode
Related Questions
Double a number decreased by 25.6 is equal to 90 Find the number
Answers
Answer:
Step-by-step explanation:
2x-25,6=90
2x=90+25,6
2x=115,6
x=57,8
Answer:
The number is 57.8
Step-by-step explanation:
Let x = number
2x -25.6 = 90
Add 25.6 to each side
2x-25.6 +25.6 = 90+25.6
2x=115.6
Divide by 2
2x/2 =115.6/2
x =57.8
When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? X equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a 6 42 57 105
Answers
Answer:
The value of r is 105
Step-by-step explanation:
Quadratic equation helps us to solve any quadratic equation. The formula is:
(-b ± √b² - 4ac) ÷ 2a
For the quadratic equation ax²+bx+c
For the equation: X² - 9x - 6:
a = 1, b = -9 and c = -6
Replacing in the quadratic formula:
(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1
= 9 ± √105 / 2
That means, the value of r is 105Answer:
105 is right
Step-by-step explanation:
I took the test
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.) y = 32,000(1.08)x y = 32,000(0.08)x y = 34,560(1.08)x y = 34,560(0.08)x
Answers
Answer:
y = 32,000(1.08)^x
Step-by-step explanation:
The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.
In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)
If we plug these into the equation, we get the equation y = 32,000(1.08)^x
So, y = 32,000(1.08)^x is the correct answer.
Answer:
A
Step-by-step explanation:
on edge 2020
What are the domain and range of the function? f(x)=−4x√x
Answers
Answer:
Domain x ≥ 0 Range y ≤ 0
Step-by-step explanation:
Answer:
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
Step-by-step explanation:
Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For [tex]\sqrt{x}[/tex] to exist, x must be larger than or equal to zero ([tex]x\geq 0[/tex])
So this gives us the description for building the Domain (what is called "set builder notation":
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
Now for the Range, let's look into all the possible values that these [tex]x\geq 0[/tex] values of x can render:
[tex]x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0[/tex]
but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;
[tex]-4\,x\,\sqrt{x} \leq 0[/tex]
Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
(x - y) + 2y + x3, when x = -3 and y=7
plss help
Answers
This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w. d ≥ 36;w < 68;d ≤ 4 + 2w
Which statements must be true about their heights?
Answers
Answer:A,C,F
Step-by-step explanation:edge2020
Answer:
A,C,F
Step-by-step explanation:
If $x \geq 0$ and $y \geq 0$, how many lattice points does the line $y = -2x + 18$ pass through?
Answers
mister Limbu bought a bicycle for Rs2500 and he labelled it's price 20 Percent above the cost price if he allows 10percent disc
ount to a customer, find his profit percent
Answers
Answer: 8%
Step-by-step explanation:
Purchase Price is $2500
Ticket Price is $2500(1 + 20%)
= $2500(1.2)
= $3000
Discounted Price is $3000(1 - 10%)
= $3000(0.9)
= $2700
The profit made is $2700 - $2500 = $200
Profit Percentage is Profit ÷ Purchase Price: [tex]\dfrac{200}{2500}=0.8=\large\boxed{8\%}[/tex]
Mrs. Winthrop went to a store, spent half of her
money and then $ 10 more. She went to a
second store, spent half of her remaining money
and $ 10 more. But she then had no money left.
How much money did she have to begin with
when she went to the first store?
Answers
Answer:
Step-by-step explanation:
Ok so I go to the store
I spend X/2 - 10 and I'm left with x/2
Then I got to store 2 and spend x/2 - 10 again and now have no money left.
So
x/2-10=0
x/2=10
x=20
Before that, she had:
x/2-10=20
x/2=30
x=60
So she started out with $60
She has $60, to begin with when she went to the first store.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs arithmetic operations is called an arithmetic operator.
Operators let do basic mathematical calculations.
+ Addition operation: Adds values on either side of the operator.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
For example 4 + 2 = 6
Let she had x money before the second store.,
So x-x/2–10=0 => x = 20.
Let she had y money before the first store,
where x = y-y/2–10.
So y/2 = 20+10=30
⇒ y = 60
Hence, she has $60, to begin with when she went to the first store.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Find the slope and y-intercept of the line. y = x – 8
Answers
Answer:
y- intercept= -8
slope= 1
Step-by-step explanation:
Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.
Answer:
Y-intercept = -8
Slope = 1
Step-by-step explanation:
The Y-intercept is the constant or the integer in the equation.
So, the y-intercept is "-8".
The slope is the number with which "x" is multiplied with.
So, the slope is 1, because 'x' and '1x' are similar; therefore the slope is 1.
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount
Answers
Answer:
Marked price= RS 1600
Discount= RS 80
Step-by-step explanation:
Let
x= the marked price
Discount= 5%
Discount = 5% of x
=0.05x
Cost after discount = x-0.05x
= 0.95x
Vat=10%
=0.1
Cost of the radio including vat=0.95x + 0.1(0.95x)
=0.95x + 0.095x
=1.045x
Price became rs 1672
Therefore,
1.045x=1672
Divide both sides by 1.045
x= RS 1600
Discount=5% of 1600
=0.05 * 1600
=rs 80
Weather balloons burst at an altitude of 27.5 km. What is the altitude in meters?
Answers
Answer:
27500
Step-by-step explanation:
meters are 100 times more than kilometers hope this helps:)
You want to build supports at each end of a table in the shape of a triangle. What type of triangle would you use to act as the supports: acute, right, or obtuse? Why?
Answers
Answer:
obtuse
Step-by-step explanation:
because obtuse triangle would provide more support that acute or right as its bigger.
36. What is the solution to x+3 = -6?
HELP! answer if you can!
Answers
Answer:
x = -9
Step-by-step explanation:
subtract 3 from both sides
x = -9
Answer:
x = -9
Step-by-step explanation:
x + 3 = -6
Subtract 3 from both sides.
x + 3 - 3 = -6 - 3
x = -9
I DON'T WANT TO BE HOMESCHOOL I WANT REAL SCHOOL SO OPEN BACK UP
Answers
Answer:
I agree.
Step-by-step explanation:
Where I am, our parents had a choice, to chose whether they wanted us to go back to school or to do it online, and my grandma has me down for online, and I hate it so much.
28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and
distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?
Answers
Answer:
2 1/3 cupcakes
Step-by-step explanation:
A cupcake can make 3 four cups of flour
In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes
= 56/24 = 2 1/3 cupcakes
PLEASE HELP Ruri is a 30-year-old math teacher. She has been informed that she is the winner of a grand prize for the lottery. She can choose either a one-time payment of $20 million or $5000 per week for the rest of her life. Which choice would most likely result in the greatest amount of winnings for Ruri? Explain your reasoning.
Answers
Answer:
$5,000 per week
Step-by-step explanation:
Ruri is a 30 year old female.
there are about 4 weeks per month
there are about 52 weeks per year
52*5000 = 260,000
She would get 260,000 per year and lets see how much she would have at 40.
260,000*10
at 40 she would have 2,600,000
2,600,000*10
at 50 she would have 26,000,000
at 50 she already has earned more money that the $20 million.
She should go with the $5000 per week if she would like more money.
MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.
Answers
Answer:
5 5/7
Step-by-step explanation:
Convert it to fractions:
30/7 and 4/3
Now multiply.
120/21
Simplify it:
5 5/7
The length, breadth ND height of box are 32 cm 16cm, 8cm.wht is the maxim length of the string that can be used to measure the sides of the box exactly
Answers
Answer:
8 cm
Step-by-step explanation:
The maximum length of the string will be the greatest common divisor of 32 , 16 , 8
32 = 2 * 2 * 2 * 2 * 2
16 = 2 * 2 * 2 * 2
8 = 2 * 2 * 2
GCD = 2* 2 * 2 = 8
The maximum length of the string = 8 cm
If a+8√5b = (8+√5)÷(8-√5) + (8-√5)÷(8+√5)
Answers
Answer:
3 or at least i think
Step-by-step explanation:
Answer:
a= 138/59 - 8√5b B=69√5/1180 - a√5/40
Step-by-step explanation:
yuh
A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit more cups inside the group if the longest straight line is five cups long, how many cups are there altogether?
Answers
Answer:
The total number of cups in arranged in an hexagonal area = 19 cups
Step-by-step explanation:
The pack the most circles within an area, the arrangement with the densest packing is the hexagonal lattice structure similar to the bee's honeycomb as has been proved Gauss and Fejes Toth.
Therefore, we pack the circles in an hexagonal lattice structure in an assumed hexagonal area where we have;
The longest straight line is five cups the next on either side are four cups and the final line on either side has three cups
The total number of cups = 3 + 4 + 5 + 4 + 3 = 19 cups
The total number of cups = 19 cups.
Which of the following systems of linear equations has a solution of (-4,3)? 1. −4x+2y=22 −y=−3x−9 2. −4x+2y=22 y=−3x−9 3. −4x−2y=22 y=−3x−9 4. −4x−2y=22 −y=−3x−9
Answers
Hey there! I'm happy to help!
SYSTEM #1
-4x+2y=22
-y=-3x-9
We can multiply both sides of the second equation by -1 to see what y equals.
y=3x+9
We can substitute this value for y into the first equation and solve for x.
-4x+2(3x+9)=22
We use distributive property to undo the parentheses.
-4x+6x+18=22
We combine like terms.
2x+18=22
Subtract 18 from both sides.
2x=4
Divide both sides by 2.
x=2
Our x has to be -4 to be the correct answer, so this option is incorrect.
SYSTEM #2
-4x+2y=22
y=-3x-9
We plug this y value into the first equation to solve for x.
-4x+2(-3x-9)=22
We use distributive property to undo the parentheses.
-4x-6x-18=22
We combine like terms.
-10x-18=22
Add 18 to both sides.
-10x=40
x=-4
We have the correct x-value to be the answer, so let's find the y-value by plugging our x-value into one of the equations.
y=-3(-4)-9
y=12-9
y=3
So, the solution of this system of equations is (-4,3), so the correct answer is 2. -4x+2y=22, y=-3x-9
Have a wonderful day! :D
Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.
Answers
Answer:
A
Step-by-step explanation:
Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.
Answer: Correct
Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.
Step-by-step explanation: No clue:)
.You deposit $200 in an account earning 3.5% simple interest. How long will it take for the
balance of the account to be $221?
Answers
Answer:
3 times the percent for the balance to be $221
Step-by-step explanation:
A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft
Answers
Answer:
Hey there!
1 gallon=400 square feet
2 3/8 gallon= 400 (2 3/8) square feet
2 3/8 gallon= 950 square feet.
Let me know if this helps :)
I need major help quickly
Answers
Answer: Hi! The last answer is correct.
4(2) + 4 isn't equal to nine, so it doesn't make sense that Sadie could have scored 4 goals.
Hope this helped!
Answer:
the answer is the last one because if you do 4 times 2 and then add four it would add up to way more than 9.
Step-by-step explanation:
What is the value of 5^4/5^6
Answers
Answer:
1/25 or 0.04
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
5 to the 4th power (5 × 5 × 5 × 5) is 625.
5 to the 6th power (5 × 5 × 5 × 5 × 5 × 5) is 15625.
625/15625 = 0.04.
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
answer these questions with Always,never it sometimes
An exterior angle of a triangle is equal to the sum of its adjacent angle and one remote interior angle
An isosceles triangle is an equilateral triangle
An equilateral triangle is an isosceles triangle
Answers
Answer:
sometimes. exterior angle of a triangle is equal to the sum two remote interior angles. But in a special case when the adjacent angle is equal to the remote interior angle, it is true
sometimes. Only when the isosceles triangle is equilateral
always. This is always true by definition.
Questions attached below ( *︾▽︾) Thanks for the help :)
Answers
Answer:
See below
Step-by-step explanation:
Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.
To create this equation we will need a regression calculator. The equation will be as follows.
y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )
(b) 2025 - 1900 = 126 years,
y = 0.125873(125) - 7.11916 = $ 8.614965
Minimum Wage : $ 8.614965
Attachment 2 : The rest of the problems can be solved similarly...
(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029
(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³
Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ
(b) 9.08292(1.09965)⁶⁰ = [tex]2713.27743\dots[/tex] ( About 2713 recommendations )
6. Find the focus for the parabola.
2x=(y+3)^2+14
Focus: (x,y) =
Answers
Answer: Focus = (7.5, -3)
Step-by-step explanation:
The Vertex form of a horizontal parabola is: x = a(y - k)² + h where
a is the vertical stretch; [tex]a=\frac{1}{4p}[/tex]p is the distance from the vertex to the focus(h, k) is the vertexRewrite the equation in Vertex form to identify a, h, & k:
2x = (y + 3)² + 14
[tex]x=\dfrac{(y+3)^2+14}{2}\\\\x=\dfrac{1}{2}(y+4)^2+7[/tex]
Vertex: (h, k) = (7, -3)
[tex]a=\dfrac{1}{2}[/tex]
Find p and then find the focus: Focus = (h + p, k)
[tex]a=\dfrac{1}{4p}\quad \rightarrow \quad \dfrac{1}{2}=\dfrac{1}{4p}\quad \rightarrow \quad 4p=2\quad \rightarrow \quad p=\dfrac{2}{4}\quad \rightarrow p=\dfrac{1}{2}\\[/tex]
Focus: (7 + [tex]\frac{1}{2}[/tex] , -3) = (7.5, -3)
