Answer:
Trigonometry Examples
Since π3 is in the first quadrant, the reference angle is π3 .
Since π3 is in the first quadrant, the reference angle is 60 degrees
Step-by-step explanation:
HOPE THIS WILL HELP YOU
help please fast .. this is in the class
Answer:
3 is correct answer
Step-by-step explanation:
root 2 and pi are irrational numbers
Find the area of the shaded shape. Write the area in square units
Answer:
Area = 224 square yards
Step-by-step explanation:
Width = 3.5 squares
Length = 4 squares
Multiply to yards (x4)
Width = 14 square yards
Length = 16 square yards
Area = Width*Length
Area = 14 * 16
Area = 224 square yards
What is the area of this figure?
Answer:
35 cm^2
Step-by-step explanation:
First find the area of a square by multiplying its side lengths together: 5 * 5 = 25 cm^2.
Now find the area of the triangle by multiplying the base by the height and dividing by 2: 4 * 5 / 2 = 10 cm^2.
Therefore the total area of the figure is 25 + 10 = 35 cm^2.
Which two values of x are roots of the polynomial below?
x^2 + 5x + 7
A. x = 5
B. x = -5-√-3 /2
C. x = -5+√-3 /2
D. x = 1/2
E. x = 5+√17 /2
F. x = 5-√17 /2
Answer:
B. and C.
Step-by-step explanation:
1. Set the polynomial equal to zero:
x² + 5x + 7 = 0
2. Plug the given values of a, b, and c into the quadratic formula:
[tex]x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}[/tex]
3. Solve the square root:
[tex]x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-5+-\sqrt{25-28} }{2(1)}[/tex]
[tex]x=\frac{-5+-\sqrt{-3} }{2(1)}[/tex]
4. Simplify the rest:
[tex]x=\frac{-5+-\sqrt{-3} }{2}[/tex]
5. Separate the solutions:
[tex]x=\frac{-5+\sqrt{-3} }{2} , x=\frac{-5-\sqrt{-3} }{2}[/tex]
Thus, options B and C are the answers.
hope this helps!
Amari pays $7,440 in taxes on his income of $46,500. What percentage of his income is going toward taxes???
Thank you so much!
Answer:
16 percent
Step-by-step explanation: 16 percent of 46500 is 7440
solve the given equation state the number and type of roots x^2+x-12=0
Answer:
Step-by-step explanation:
x 1= 3 x 2=−4
14. During math class, Hallie created the following
riddle to ask her father at dinner.
I am thinking of a number such that 3 less than
twice that number is the additive inverse of 7.
What is the number?
Which inverse operations in the correct
sequence will solve the riddle?
A. Add 3; then multiply by 2.
B. Add 3; then divide by 2.
C. Multiply by 1/2;then subtract 3.
D. Multiply by 1/2;then divide by 3.
Answer:
A
Step-by-step explanation:
work backwards so do the opposite of what they told you
example: - you do +
multiply, you do divide etc etc
Sheila is 1.7 m tall her son is 109 cm tall how many meters taller is Sheila than her son
Answer:
61 cm or 0.61 m
Step-by-step explanation:
1. One meter is 100 cm, so you multiply 1.7 meters by 100 to get 170 cm.
2. Now that they are in the same units, to get their difference in height, you subtract Sheila's height from her son's (170 - 109) and get 61 cm.
3. Convert it back to meters by dividing by 100 and you get their difference in height in meters, 0.61 m.
Answer:
0.61
Step-by-step explanation:
One cenimeter is equivalent to 0.01 meter.
109cm • 0.01 = 1.09m
1.7m - 1.09m = 0.61m
Sheila is 0.61m taller than her son
The grades on a language midterm at Loyola are roughly symmetric with u = 69 and standard deviation = 4.0. Vanessa Scored 65 on the exam.
Answer:
the question can be understand but the question is not telling what to find
it is comfugen to answe're the question
Corrine picked 1/4 gallon of blackberries. She poured the berries equally into 4 containers. What fraction of a gallon is in each container?
Answer:
1/16
Step-by-step explanation:
In the starting, Corrine had 1/4 gallon of blackberries. Now, she poured the berries equally into 4 containers. Therefore, the amount of berries in each container is:1/4 : 4=1/16
Thus, each container has 1/16 of a gallon of blackberries.
Answer:
1/16 th of a gallon in each container.
Step-by-step explanation:
That would be 1/4 divided by 4.
1/4 / 4
= 1/4 * 1/4
= 1/16.
Question 2 (Essay Worth 10 points)
(03.02, 03.03, 03.04 MC)
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of
money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 10,125(1.83)*
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years
r (number of years) 1
2
3
4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
2
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.
6.
What is the perimeter of a regular pentagon with a side length of 4.9 cm?
4.9 cm
29.4 cm
14.7 cm
24.5 cm
Answer: The answer would be 4.9 :)
Step-by-step explanation:P=24.5cm
P=5a=5·4.9=24.5cm
=4.9
what did the sewer workers boss say to him when he went on vacation?
Answer:
Have a great tret
Step-by-step explanation:
I dont know what
is it
The function h(T)= 200- 16t represents the height of a ball dropped from 200 feet.
How far had the ball traveled after falling for 7 seconds?
Answer: 112 feet
Step-by-step explanation:
What is the perimeter of the woods, in miles? Round
you
answer to the nearest tenth.
The perimeter of the woods is 26 miles if each grid represents one mile in the figure.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know the perimeter of the rectangle = 2(length + width)
As we can see closely in the figure the perimeter of the wood is actually a perimeter of a rectangle if we shift vertical and horizontal lines to make it a complete rectangle.
Let's suppose each grid is expressing one mile.
So the length of the rectangle = 9 miles
The width of the rectangle = 4 miles
The perimeter of the woods = 2(9+4) = 26 miles
Thus, the perimeter of the woods is 26 miles if each grid represents one mile in the figure.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ1
Ciera can swim 400 meters in 1 minute and 20 seconds. What is Ciera’s average rate in meters per second?
Answer:
5 meters per second.
Step-by-step explanation:
There are 60 seconds in 1 minute:
1 minute 20 seconds = 60 seconds + 20 seconds = 80 seconds.
Divide the amount of meters swam (400) with the total amount of seconds used (80) to get the average meters per second:
(400 meters)/(80 seconds) = 5 meters/second.
5 is your answer.
~
Answer:
5 MPS
Step-by-step explanation:
If Ciera can swin 400 meters in 1 minute and 20 seconds,
400 meters = 1 minute 20 seconds (1 1/3 minutes).
Divide both sides by 1 1/3.
400/ 1 1/3 = 300
Since it asks in seconds, divide by 60.
300/60=5
Rapunzal travels 27 miles per hour. How long does it take her to travel 3 miles. Nearest tenth
Answer:
6.4 minutes or 384 seconds
Answer asap and only if yk 100% its correct
NEED HELP ASAP PLEASEEE
Answer:
.......C........
Step-by-step explanation:
......
Evaluate the following:
csc(theta)
25/7
sec(theta)
25/24
cot(theta)
24/7
CosФ=24/25
Sin Ф=7/25 CoseceФ=25/7
TanФ=7/24 cotФ=24/7
SecФ=25/24
Which of the following is a negative aspect of wind power?
A. It does not generate waste and has little impact on the ecosystem
B. There is no emission of greenhouse gases
C. It is more expensive than traditional fossil fuel power stations
D. It takes more coal-fired power stations to produce as much energy
Answer:
C is the answer, as wind turbines are more expensive
Nick bought a sweater for $16.75 and $28.92. estimate how much Nick spent on the sweater and pants.question 2 if Nick paid with $50 how much money will he receive in change?
1. Round to the nearest whole dollar and add: 17 + 29 = $46
Estimated he spent about $46
2. subtract the two amounts from 50:
50-16.75 - 28.92 = $4.33 change back
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
17.51
Step-by-step explanation:
this is a right triangle, so sohcahtoa applies
we want x
relative to the angle, x is opposite of it and 25 is adjacent to it (the hypotenuse is the other side)
the formula that combines opposite and adjacent is tan
tanθ = opposite/adjacent
tan(35°) = x/25
multiply both sides by 25 to isolate x
tan(35°) * 25 = x
x ≈ 17.51
If you wanted to make $1219 by investing $4206 of 10 years in an account that pays simple interest, what interest rate you would need to achieve your goal? rate(%):
Answer:
2.90 % rate
Step-by-step explanation:
Simple intrest (si) = $1219
Principal (p) = $4206
time (t) = 10yrs
rate (r) = ?
Now using formula,
r = ix100/p×t
r = 1219×100/4206×10
r = 2.90 ( in calculator it will show 2.898 if the third digit is more than 5 after the decimal in the second number 1 is added so it will be 2.90)
What is the measure of angle y in this figure?
Answer:
163
Step-by-step explanation:
Opposite degrees are equal in two lines. (Vertical Angles)
Answer:
y = 163°
Step-by-step explanation:
The measure of angle y is 163 ° because vertical angles are congruent and congruent angles have the same measure.
please answer correctly don't answer a link thanks. FUNDAMENTAL PRINCIPLE OF COUNTING.
The answer is [tex] {2}^{5} [/tex] or 32.
The best way to represent this is with a binary tree. Each split represents a choice, and each line represents a possible outcome. Choice #1 at the top of the tree has 2 possible outcomes. The second level repeats that process with 2 possible choices and 4 possible outcomes, this repeats for all 5 levels giving us 32 possible outcomes at the bottom.
2)There will be eight outcomes.
Sample space : {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calculate his average speed for the whole journey
Answer:
Probably 128 km/h, but maybe 98.5 km/h. See below.
Step-by-step explanation:
What does "at the same time" mean?
If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 1.25 hour = 2.5 hour
average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h
If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 2 hour = 3.25 hour
average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h
What is some Non examples of a logarithmic function?
Answer:
In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0
Step-by-step explanation:
Answer: negative numbers and the number 0 are non logarithmic functions
Step-by-step explanation:
Which expression is equivalent to (2x^4y)^3?
Answer:
8x^{12}yx^{3}
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you
- Matthew
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
1 - 60
2 - 120
3 - 60
4 - 120
5 - 60
6 - 120
7 - 60
8 - 120
Step-by-step explanation:
Via supplementary angles, you can conclude that angle 5 is 60. Because of vertical angles, angle 8 is 120 and angle 7 is 60. Because of alternate exterior angles, angle 1 is congruent to angle 7 and angle 2 is congruent to angle 8, meaning angle 1 is 60 and angle 2 is 120. Because of vertical angles, angle 3 is 60 and angle 4 is 120.