Answer:
TO VERIFY :-
[tex]\csc \theta \times \cos \theta \times \tan \theta = 1[/tex]GENERAL TRIGONOMETRIC FORMULAES :-
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex].[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]SOLUTION :-
L.H.S. =
[tex]\csc \theta \times \cos \theta \times \sin \theta[/tex]
[tex]=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}[/tex]
[tex]=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}[/tex]
[tex]=> 1[/tex]
R.H.S. = 1
∴ L.H.S. = R.H.S. (Proved)
Can someone pls help me find X and Y
Answer:
y = 35°
z = 90°
Step-by-step explanation:
the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent
therefore, y = 35°
the third angle of the triangle on the left is 180-(90+35) = 55
therefore, this angle is vertical with the angle opposite it which is also 55°
to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°
7 marbles are in a bag 2 marbles are red and the rest are black how many marbles in bag are black
Answer:
5 marbles are black.
Step-by-step explanation:
7-2=5
5y + 1 = 31 what’s the solution of y
Answer:
y = 6
Step-by-step explanation:
5y + 1 = 31
Subtract 1 from each side
5y + 1-1 = 31-1
5y = 30
Divide by 5
5y/5 = 30/5
y = 6
Answer:
y = 6
Step-by-step explanation:
5y means 5 multiplied by something. 5y + 1 equals 31. So 5 multiplied by 6 equals 30 + 1 = 31, which is the given answer.
What is the value of x?
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
A triangle on the coordinate plane has vertices (-8,3), (3,9) and (9,3). What is the area, in square units, of the
triangle?
Answer: 51 sq units
Step-by-step explanation:
after plotting the vertices, the height of the triangle is 6 and the base is 17
A = 1/2(6)(17)
A = 51 sq units
solve the inequality 24<5x-1
Answer:
5 < x
Step-by-step explanation:
24<5x-1
Add 1 to each side
24+1<5x-1+1
25 < 5x
Divide by 5
25/5 < 5x/5
5 < x
Answer:
X>5.
Step-by-step explanation:
First you swap sides, so 5x-1>24. Then simplify to 5x>25, divide 25 by 5 to get 5.
Please help!
A car salesman sells 1 car on his first day, 2 cars on his second day, 4 cars on his third day, and so on, so that every day after the first, he sells twice as many cars as the day before. How many days does it take him to sell a total of at least 1000 cars?
Answer:
10
Step-by-step explanation:
every day he doubles the number of sold cars compared to the previous day.
so the sequence goes along the powers of 2 :
1
2
4
8
16
32
64
128
256
512
1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.
but - maybe we reached the total of 1000 cars already before that.
as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.
e.g. 8 = 4 + 2 + 1 + 1
64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1
therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.
so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.
It takes 11 days for the salesman to sell at least 1000 cars.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.
The inequality is : a(1-rⁿ)/(1-r) ≥ 1000
In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:
1(1-2ⁿ) ≥ 1000
1-2ⁿ ≥ 1000
2ⁿ ≤ 999
Now we can take the log base 2 of both sides
n ≤ log₂(999) +1
n ≤ 9.97+1
n ≤ 11
As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.
Learn more about inequalities here:
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How do you tell if a table is linear
Answer:
If x, y increase at a constant rate, it is linear.
Step-by-step explanation:
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
3=6
4=8
5=10
6=12
graph 1
Step-by-step explanation:
M⁵ = what when m = ⅔
Answer:
Step-by-step explanation:
M^5
(2/3)^5
2^5/3^5
32/243
Answer:
0.13
Step-by-step explanation:
M ^5
Divide 2/3
Equals 0.6667
0.6667 ^ 5
Equals 0.13 Rounded
a triangle flower bed has one angle of 64 degrees. the other two angles are congruent to one another. what are the measures of the two unknown angles?
Answer:
58 degrees
Step-by-step explanation:
well we know that every angle in a tringle adds up to 180 degrees.
so we know that 64 + angle 1 + angle 2 = 180
180-64=116
and since they are congruent (same value as one another) you just divide 116 by 2 and boom!
116/2=58
both are 58 degrees
Emma made 25 cookies. She gave cookies to her mom. Then, she split the remaining cookies evenly among 4 friends. Which expressions represent this scenario? Select all that apply. A (25+c)÷4 B 25÷4−c C 25−c4 D 25−4c E 25−c÷4 F (25−c)÷4 PLEASE HURRY
Answer: F. (25 − c) ÷ 4
Step-by-step explanation:
Emma had 25 cookies and gave c cookies to her mom and then divided the rest evenly amongst her 4 friends.
The cookies she shared to her friends are the 25 cookies minus the number of cookies she gave her mom which is:
= 25 - c
This (25 - c) was divided by 4 with each portion given to a friend so the total each friend got was:
= (25 - c) / 4
The air you breathe is 1/5 oxygen. What percent of the air is made up of other gases?
Answer:
80%
Step-by-step explanation:
1/5 is about 20%, so the remaining 4/5 is the remaining 80% of the air
Toni participates in a 10-mile charity walk. For each mile she walks, a sponsor will donate $9 to the charity. The graph
represents the function that models the amount of money the sponsor will donate given the number of miles, x, Toni
walks.
Answer:9 times 10 equal 90 $
Step-by-step explanation:
dèez nuts in your mouth lol
Answer:
free
Step-by-step explanation:
points .-.
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A passenger and a freight train start toward each other at the same time from
two points 300 miles apart. If the rate of the passenger train exceeds the rate
of the freight train by 15 miles per hour, and they meet after 4 hours, what
must the rate of each be?
The rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
Let's denote the rate of the passenger train as "P" and the rate of the freight train as "F". We are given that the passenger train's rate exceeds the freight train's rate by 15 miles per hour. Therefore, we can write the following equation:
P = F + 15
We are also given that the two trains start from points that are 300 miles apart and meet after 4 hours. We can use the formula distance = rate × time to set up two equations:
Distance covered by the passenger train: P × 4
Distance covered by the freight train: F × 4
Since they meet each other, the sum of their distances should add up to 300 miles:
P × 4 + F × 4 = 300
Substituting P = F + 15 into the equation, we can solve for F:
(F + 15) × 4 + F × 4 = 300
4F + 60 + 4F = 300
8F = 240
F = 30
Now that we have the rate of the freight train, we can substitute it back into the equation P = F + 15 to find the rate of the passenger train:
P = 30 + 15
P = 45
Therefore, the rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
For such more questions Train Rates
https://brainly.com/question/28139363
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Mia´s family arrived at their destination at 6:00 p.m after a 2-hour trip on a plane.
what time did Mia´s family leave?
Answer:
4:00 p.m is corrcet
Step-by-step explanation:
if my grade is a 91, and i get a 60 on a quiz, what will my grade change to?
HELP ASAP!!! NO LINKS!!! WILL REPORT!!!
Answer:
Step-by-step explanation:
Use trig ratios to solve for x. Side x is adjacent to the reference angle of 61 degrees, and the side that measures 59 is opposite the reference angle. This is the tangent ratio:
[tex]tan61=\frac{59}{x}[/tex] and
[tex]x=\frac{59}{tan61}[/tex] so
x = 32.7
1.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–2, –1); maximum
B. (–2, –2); maximum
C. (–2, –1); minimum
D. (–2, –2); minimum
Answer:
D. (–2, –2); minimum
Step-by-step explanation:
It’s D you got to see the lowest part of the graph and you will call it mini except if the graph was going down you will call that point maximum.
Answer:
D. (-2, -2); minimum
Step-by-step explanation:
The vertex is the where the curve turns up/down which divides the figure into two halves.
From the given graph, the graph turns up at (-2, -2) , the graph moves down, therefore, the vertex (-2, -2); minimum.
Hope this will helpful.
Thank you.
Can you find the surface area if it has a height of 5cm.
Answer:
767
Step-by-step explanation:
what is 713.49 written in standard form?
Answer: Seven hundred thirteen point forty-nine.
Step-by-step explanation: Hope this helps ;)
4x + 3 + (-3) + 7x - 6x
Answer:
5x
Step-by-step explanation:
Answer:
2x+3 is it simplified
Step-by-step explanation:
BE
What is the rate of change of the function represented by the table?
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5
2
5
3
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4
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Enter the exponential function using t (for time) as the independent variable to model the situation. Then find the value of the function after the given amount of time. A new savings account is opened with $200 and gains 3.1% yearly for 8 years. The exponential function that models the situation is . After 8 years, the savings account has $ . , , , and .
Answer:
[tex](a)\ f(8) = 200(1 + 3.1\%)^8[/tex]
(b) After 8 years, the savings account has $255.32
Step-by-step explanation:
Given
[tex]a = 200[/tex] ---- initial (i.e. when t = 0)
[tex]r =3.1\%[/tex]
[tex]t = 8[/tex]
Solving (a): Model the situation
For growth, an exponential function is represented as:
[tex]f(t) = a(1 + r)^t[/tex]
This gives:
[tex]f(8) = 200(1 + 3.1\%)^8[/tex]
Solving (b): The solution to (a)
We have:
[tex]f(8) = 200(1 + 3.1\%)^8[/tex]
Express percentage as decimal
[tex]f(8) = 200(1 + 0.031)^8[/tex]
[tex]f(8) = 200(1.031)^8[/tex]
[tex]f(8) = 200*1.2766[/tex]
[tex]f(8) = 255.32[/tex]
Given: f (x) = 3x^2 + 2x – 1
Find: f (-2)
100 POINTS
which of the following best describes the general situation in post war America
A. low unemployment
B. Great Depression
C. population decrease
D. equality for all
A. low unemployment
I hope this answer helps you...
If f(x) 2(3x) 1, what is the value of f(2)?
(NR) Natural Resources:Question 7
What are natural resources?
Yuhh I need help anyone??
f ( 4 ) = - 10
___________
g ( x ) = 2 , x = 0