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 you please help solve and find value of x!
Answer:
32º
Step-by-step explanation:
Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.
sin (x) = opp/hyp = 8/15
sin-1(8/15) = x = 0.56253 radians
0.56253 radians * 180/π = 32.23º
Round this to 32º
Help is all I need..
Answer:
[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]
x = +4 +1
x = +5
and
x = -4 + 1
x = -3
Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid 200$ per week and a 6% commission on sales. Enter the amount in dollars of sales for which they earn the same weekly income
Answer:
3750$
Step-by-step explanation:
Let x be the amount in dollars of sales:
125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)
0.02x = 75
x = 3750
[tex]2(x+30)=60[/tex]
SOLVE 23 ASAP PLEASE!!
A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )
_________________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]
Slope = [ 3 ] ÷ [ 4 + 3 ]
Slope = 3 ÷ 7
Slope = 3/7
_________________________________
y - y(A) = Slope × ( x - x(A) )
y - 2 = 3/7 × ( x - ( - 3 ) )
y - 2 = 3/7 ( x + 3 )
y - 2 = 3/7 x + 9/7
y = 3/7 x + 9/7 + 2
y = 3/7 x + 9/7 + 14/7
y = 3/7 x + 23/7
After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?
Answer:
D(h) = 55h - 2000
1670 m
Step-by-step explanation:
Given :
Starting elevation, D = - 2000 m (2000 m below sea level)
Rate, h = 55 m per hour.
The slope - intercept relation :
y = mx + c
m = slope = rate of change
c = intercept
In the scenario given :
-2000 = intercept
55 = rate of change
D(h) = 55h - 2000
After 6 hours :
D(6) = 55(6) - 2000
D(6) = - 1670 m
Which number, best describes
withdrawing $100 from a
checking account?
A:
100
B.
- 100
C. +100
D.
| 100 |
Answer:
B
Step-by-step explanation:
It would be -100 because you would be withdrawing, not adding the amount, or staying with the same amount.
Answer:
B) -100
Step-by-step explanation:
Withdrawing means taking out, and subtracting is taking out a number, so the answer is B.
I need help with this
Answer: 25%.
Step-by-step explanation:
There are 12 marbles in total, with 3 being red. 3 in 12 = 1/4 = 25%.
2×+7=17 find the value of x
Answer:
x = 5
Step-by-step explanation:
Given
2x + 7 = 17 ( subtract 7 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
u don’t have to explain
Answer:
6
Step-by-step explanation:
RQ=x
x/9=4/6
x=(9*4)/6
x=6
Aiden uses 1/6 cup of blue paint for every 1/2 cup of red paint to make purple paint what is the number of cups of blue paint aiden uses for 1 cup of red paint
Answer:
your answer is 2/6 or 1/3 a cup.
Step-by-step explanation:
An electronics company sells computer monitors
and releases a new model every year. With each
new model, the company increases the screen
size by a constant amount. In 2005, the screen
size was 15.5 inches. In 2011, the screen size was
18.5 inches. Which of the following best
describes how the screen size changed between
2005 and 2011?
A) The company increases the screen size by
0.5 inch every year.
B) The company increases the screen size by 1
inches every year.
C) The company increases the screen size by 2
inches every year.
D) The company increases the screen size by 3
inches every year.
The statement that best describes how the screen size changed between 2005 and 2011 is: A) The company increases the screen size by 0.5 inch every year.
Screen size changed between 2005 and 2011Given:
2005= 15.5 inches
2011=18.5 inches
Hence:
2005-2011= 6 years
18.5 inches-15.5 inches=3 inches
Size of screen:
Size of screen=3/6
Size of screen=0.5 increase every year
Therefore the correct option is A.
Learn more about screen size change here:https://brainly.com/question/13261582
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In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?
Α. 88
Β. 82
C. 98
D. 90
Answer:
82°
Step-by-step explanation:
That is the correct answer to put it simply
The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circle be represented as P
Now , the quadrilateral inscribed inside the circle be ABCD
where the measure of m∠A = 98°
The measure of m∠B = 90°
Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary
So , measure of ∠A + measure of ∠C = 180°
On simplifying , we get
98° + x° = 180°
Subtracting 98° on both sides , we get
x = 180° - 98°
x = 82°
Therefore , the measure of x is 82°
Hence , the value of x of the quadrilateral inside circle is 82°
To learn more about circle click :
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Need help please and thanks :)
Answer:
See below.
Step-by-step explanation:
30 + 15c = 10 + 20c
15c - 20c = 10 - 30
-5c = -20
c = 4
When they both catch 4 criminals, they earn the same amount of money.
I need the answer Immediately before it’s due!!!!!!!!
The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.
(a) Compare the populations using measures of center and variation.
(b) Express the difference the measures of center as a multiple of each measure of variation.
Answer:
Kindly check explanation
Step-by-step explanation:
Using the Median (measure of center) and range
Room 212 :
Median = 20
Range = maximum - minimum = (22 - 15) = 7
Interquartile range = Q3 - Q1
Q3 = 21
Q1 = 19
IQR = 21 - 19 = 2
ROOM 214 :
Median = 22
Range = maximum - minimum = (25 - 16) = 9
Interquartile range = Q3 - Q1
Q3 = 23
Q1 = 20
IQR = 23 - 20 = 3
Expand.
Your answer should be a polynomial in standard form
−5q 2 (−q−5)
Answer:
(i think)
5q3+25q2
Step-by-step explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.a
x2+bx+c
5⋅1(q2q)+25q2
Simplify each term
answer- 5q3+25q2
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet
find the value of x
answers
118
62
82
28
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).
simplify (2 3/5-1 2/3)×5/8
Answer & Step-by-step explanation:
Simplify the expression.
Exact Form:
7/12
Decimal Form:
0.583
Hope this Helps!!! :)
If you have any questions contact me in the comment section below!
please show your work
Answer:
B) 40
Step-by-step explanation:
Angle X and the missing angle inside the triangle are equal as the are opposite angles.
Therefore,
180 - 65 - 75 = 40
can some help me with this
(you can pick more than one for each column)
Answer:
no no nlnnlnl
Step-by-step explanation:
no sorryyy
I need help with these
i will give brainliest if you solve #11 please and thank you!!!
Answer:
[tex]A)~ 39.6[/tex] %----------------
[tex]Total~ number~ of~ students:-[/tex]
[tex]42+58+20+84+41+5[/tex]
[tex]=250[/tex]
[tex]soccer=58+41[/tex]
[tex]=99[/tex]
[tex]99/250*100[/tex]
[tex]=0.39*100[/tex]
[tex]=39[/tex]
------------------------
hope it helps...
have a great day!!
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
Answer:
$10.85
Step-by-step explanation:
31 * .65 = 20.15
31 - 20.15 = 10.85
Solve the system of equations.
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 3y = 5
3y = -x + 5
y = -1/3x + 5/3
-x + 6y = 4
-x + 6(-1/3x + 5/3) = 4
-x - 2x + 10 = 4
-3x = -6
x = 2
x + 3y = 5
2 + 3y = 5
3y = 3
y = 1
(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?
Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.
In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.
Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.
A survey of 125 freshmen business students at a local university produced the results listed below. How many students took history and math, but not music? 30 took history; 32 took math; 33 took music; 14 took history but not math; 9 took math and music; 13 took history and music; 2 took all three
Answer:
Total Number of students taking Math and History and not music are 68.
Number of students who took both math and history at the same time is 6.
Step-by-step explanation:
History = 30
Math = 32
Music= 33
Math and Music= 9
History and Music= 13
History and Music and Math = 2
History but not math = 14
We have to find students taking history and math but not music.
Total number of students = 125
From the figure number of students taking Math and History and not music are
=30+6+32= 68
Number of students who took both math and history at the same time is 6.
what difference is there please tell me in a mathematical way
4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
to make her free-throws at this rate, what is the probability that she will make the
next two free-throws in the next game?
Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of her free-throws.
This means that [tex]p = 0.75[/tex]
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.