Answer:
Yes
Step-by-step explanation:
put point (3,28) in the above equation
28=19+3(3)
28=28
[tex]\LARGE{\text{please\:refer\:to\:the\:"explanation"\:section\:of\:this\:ans}}[/tex]
Calculations ↓
An easy way to check whether or not a point lies on a line is to plug in the x-coordinate in lieu of x and the y - coordinate in lieu of y As follows :
x - coordinate : 3
y=19+3(3)
y - coordinate : 28
28 = 19 + 9
28 = 28 [tex]\Large\checkmark[/tex]
LHS = RHS
Hence the point (3, 28) does lie on the line y = 19 + 3x[tex]\footnotesize{\text{hope\:helpful}}[/tex]
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
Answer:
I'm assuming where you wrote x2, you meant 2x.
Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3
At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.
sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2
cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2
tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3
To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.
Step-by-step explanation:
BRAIN LY FAST
MARK A BRAINLESS
[tex]\sin\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\\\tan\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}\\[/tex]
To find sin(x/2), cos(x/2), and tan(x/2), we need to use the half-angle identities for trigonometric functions.
Given: csc(x) = 4 for 90° < x < 180°
Step 1: Find sin(x). Since csc(x) is the reciprocal of sin(x), we have:
csc(x) = 1/sin(x) = 4
Now, find sin(x):
sin(x) = 1/csc(x) = 1/4
Step 2: Find cos(x). To do this, use the Pythagorean identity:
[tex]sin^2(x) + cos^2(x) = 1\\cos^2(x) = 1 - sin^2(x) \\= 1 - (1/4)^2 \\= 1 - 1/16 \\= 15/16[/tex]
Now, find cos(x):
[tex]\cos(x) = \pm \sqrt{\frac{15}{16}}[/tex]
Since x is in the second quadrant (90° < x < 180°), cos(x) is negative. So,
[tex]\cos(x) = - \sqrt{\frac{15}{16}}[/tex]
[tex]= -\sqrt{15} / 4[/tex]
Step 3: Find tan(x). To do this, use the identity:
[tex]\tan(x) = \frac{\sin(x)}{\cos(x)}\\\tan(x) = \frac{\frac{1}{4}}{-\frac{\sqrt{15}}{4}}\\\tan(x) = -\frac{1}{\sqrt{15}}[/tex]
Now, let's find sin(x/2), cos(x/2), and tan(x/2) using the half-angle identities:
Half-angle identities:
[tex]\sin \left ( \frac{x}{2} \right ) = \pm \sqrt{\frac{1 - \cos x}{2}}\\\cos \left ( \frac{x}{2} \right ) = \pm \sqrt{\frac{1 + \cos x}{2}}\\\tan \left ( \frac{x}{2} \right ) = \frac{\sin \left ( \frac{x}{2} \right )}{\cos \left ( \frac{x}{2} \right )}[/tex]
Step 4: Find sin(x/2):
[tex]\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{1 - \cos x}{2}}\\\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{1 + \frac{\sqrt{15}}{4}}{2}}\\\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{4 + \sqrt{15}}{8}}\\\sin \left( \frac{x}{2} \right) = \pm \frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\sin \left( \frac{x}{2} \right) = \pm \frac{\sqrt{4 + \sqrt{15}}}{2}[/tex]
Step 5: Find cos(x/2):
[tex]\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 + \cos(x)}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 + \left(-\frac{\sqrt{15}}{4}\right)}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 - \frac{\sqrt{15}}{4}}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{4 - \sqrt{15}}{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\cos\left(\frac{x}{2}\right) = \pm\left(\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\right)[/tex]
Step 6: Find tan(x/2):
[tex]\tan \left ( \frac{x}{2} \right ) = \frac{\sin \left ( \frac{x}{2} \right )}{\cos \left ( \frac{x}{2} \right )} = \pm \frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}[/tex]
So, the values are:
[tex]\sin\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\\\tan\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}\\[/tex]
Note: The ± symbol indicates that there are two possible solutions due to the quadrant restrictions.
To know more about functions:
https://brainly.com/question/31062578
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Complete Question is:
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x /2 ) = ? cos ( x /2 ) = ? tan ( x /2 ) = ?
How would I graph this?
Answer:g(x) = f(x) + 1.5
Step-by-step explanation: The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.
please help on this i’ve looked to try to find the answer and no one had done it
Answer:
Inf solutions.
Step-by-step explanation:
1/2 (b+14) = b+14/2
Simplify
b+14 = b+14
B=b
Since the answers are equal on both sides there are infinite solutions,
4. A rational number is any number that can be expressed as the quotientor fraction of two integers, p and q
a. True
b. False
8) Find the % of change.
Original price: $185
New price: $160
(Explanation too)
Answer:
15.6% gives you 24.96 which is almost the equivelenth of 160-185
Step-by-step explanation:
take the number and try to find a percent that works.
The graph shows the distance, y in miles, of a moving train from a station for a certain period of time, x, in hours: A graph titled Distance Vs Time is shown with Time in hours labeled on x-axis and Distance from Station in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y-axis shows the numbers 0, 50, 100, 150, 200, 250, 300, 350, 400. The graph shows a straight line joining the ordered pairs 0, 100, and 1, 150, and 2, 200, and 3, 250, and 4, 300. What is the speed (in miles per hour) of the train?
Answer:
50
Step-by-step explanation:
I just did it with my friend.
CAN SOMEBODY HELP ME CAUSE I DO NOT UNDERSTAND
How many minutes are there from 14h10 pm to 15h50 pm, the same day?
Answer:
100 minutes
Step-by-step explanation:
subtract 14h10 from 15h00
this will equal 50
then add the remaining 50minutes from 15h00
Jasmine has a 2-gallon bucket. How
many 1-quart containers will it take
to fill Jasmine's bucket?
Hi!
Your answer is 8 1-quart containers.
There are 4 quarts in a gallon.
If there is a 2-gallon bucket, and she needs to fill it using 1-quart containers, we simply multiply the number of quarts in a gallon (4) by the number of gallons total (2).
2 x 4 = 8
What is the solution to the equation -3(h + 5) + 2 = 4(h + 6) - 9
Answer:
The solution would be h=-4
Step-by-step explanation:
By distributing, we are able to find this answer.
please help with this question
1) K=17°
2)Jk=2.84yd
3)KL=2.71yd
4 cm
14 cm
5 cm
9cm
☆Explanation:
¤ We that area of a Rectangle = length × breadth
¤ Here, it is said to find the area of the given figure.
Now,
Area of first Rectangle = length × breadth
= 9 cm × 4 cm
= 36 cm²
Again,
Area of the second Rectangle = length × breadth
= 14 - 4 × 5
= 10 × 5
= 50 cm²
Finally,
Area of the figure = Area of first Rectangle + Area of second Rectangle.
= 36 cm² + 50 cm²
= 86 cm²
Hope it helpsPLS HELP FAST THIS IS DUE NOW
Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint. Select all of the true statements.
1. each can of paint will cover 1/20 of Dalia's room
2. painting 1/2 of Dalia's room requires 10 cans of paint
3. Dalia's entire room requires 20 cans of paint
4. 3 cans of paint will cover 60% of Dalia's room
5. Dalia's entire room requires 5 cans of paint
THANK YOU WILL ADD BRAINLIEST FOR RIGHT ANSWER
Answer:
4. 3 cans of paint will cover 60% of Dalia's room
5. Dalia's entire room requires 5 cans of paint
Step-by-step explanation:
If Dalia has painted 1/10 of her room with 1/2 can of paint, then she will paint 2/10 of her room with 1 can of paint (since there are 2 halves in a whole).
2/10 = 1/5 ⇒ 1 can of paint covers 1/5 of the room.
Therefore, to paint the entire room, she will need 5 cans of paint.
60% of 5 cans of paint = 0.6 × 5 = 3
Therefore, 3 cans of paint will cover 60% of the room.
Can yall pls help me its due im 1 hour
Answer:
option 1 is correct
PLEASE HELP
Which graph best represents this function?
Answer:
D is the correct answer
Step-by-step explanation:
A is not correct because it does not meet the fourth criteria, B is not correct because it doesnt meet the second criteria, C is not correct because it does not meet the third criteria, D IS CORRECT because it meets the fourth criteria.
Find the value of x Using parallel cut by the transversal (show your work)
Answer:In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
Step-by-step explanation: : 3
Please help now, I will give Brainliest!!! :D
Peter is 19 years old. He lives at home with his parents and goes to college part time. He recently started working as a server, working 40 hours per week.
Where Peter lives, the minimum wage for tipped and non tipped employees is $7.25 per hour.
In the average week, he serves 90 tables whose typical bill is $21 with an average tip of 15%.
How much money does he make in a typical week??
Answer: $573.50
Step-by-step explanation:
40hrs x $7.25 per hour= $290 per week$21 x 0.15 = $3.15$3.15 x 90 tables per week = $283.50$283.50 + $290 = $573.50I need help please is this question i needed ;-;. What amount in dollars would Peter save on a $64 coat that is on sale for 30 off?. please help or else mom will kill me ;-;
Answer:
He would save $19.20.
Step-by-step explanation:
30% = 0.3
64*0.3 = 19.2
There he saves $19.20 on the coat.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
25
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=7
B=24
7x7=49
24x24=576
Add,
576+49=625
Last,
Take the square root of 625
The square root of 625 is 25
c=25
To Check if the hypotenuse is correct:
[tex]a^2+b^2=c^2[/tex]
[tex]7^2+24^2=25^2[/tex]
7x7=49
24x24=576
25x25=625
49+576=625
625=625,
Therefore the hypotenuse is 25.
If Shawn can read 60 pages in 3/4 hour. What is the unit rate? And how do I use the unit rate to determine the number of pages Shaun can read in 1 h? And what is the Answer??
Answer:
80 pages
Step-by-step explanation:
Divide 60 by 3 to get 20 because this is how many pages he can read in 1/4 hour. Then multiply that by 4 to get 80, which is how many pages he can read in a full hour.
Find the area of this shape. Show work pls. Round to the nearest hundredth.
Answer:
35 ft²
Step-by-step explanation:
The shape is a triangle and its area is given by the formula below:
Area of triangle= ½ ×base ×height
Do note that the height has to be the perpendicular height, which is 5 ft in this case.
Area of triangle
= ½(14)(5)
= 35 ft²
2
3
4
5
6
the step function f(x) is graphed.
5
4+
3+
2+
1+
-5-4-3-2-1
#
-2+
-3+
1
92
2 3
8
9
4 5 X
10
What is the value of f(1)?
0
1
2
4
Answer:
4
Step-by-step explanation:
Describe a set of transformations that would map Red Triangle to the Blue Triangle.
can someone help me please?? :))
====================================================
How I got that answer:
The interval 0 < t < 30 has the midpoint of 15 since (0+30)/2 = 15
The interval 30 < t < 60 has the midpoint 45 because (30+60)/2 = 45
We add up the endpoints and then divide by 2 to get the midpoint.
Repeat this for each of the intervals mentioned.
From top to bottom, the midpoints are:
154575105Notice we add 30 to each midpoint to get the next one. This is directly due to the fact that each interval is 30 units wide (eg: 90-60 = 30).
Multiply each midpoint by the corresponding frequency for a given row.
15*7 = 10545*27 = 121575*12 = 900105*4 = 420Then add up those products.
105+1215+900+420 = 2640
Lastly, we divide this over the sum of the frequencies 7+27+12+4 = 50 to get 2640/50 = 52.8
The average time spent on homework is estimated to be about 52.8 minutes
Note that the majority of the the students (27) are in the 30 < t < 60 interval, so the mean of 52.8 fits this interval perfectly. It's closer to the right endpoint of the interval due to the fact the other 12+4 = 16 students are above this, and they make up the second most majority compared to the 27.
The reason why 52.8 is an estimate rather than the actual mean is because we are estimating each interval by picking out the midpoint each time. The midpoint is at the direct center, so it's the best guess we can do.
HELP PLEASE : )
Simplify the expression:
6/3(13−18)+2^4÷6
Answer:
-7.33
Step-by-step explanation:
Answer:
-7.333
Step-by-step explanation:
To solve this you have to use B O D M A S theorem and we have to solve the given expression according to the theorem.
That is,
B ⇒ Brackets
O ⇒ Of
D ⇒ Division
M ⇒ Multiplication
A ⇒ Addition
S ⇒ Subtraction
Let us solve it now.
[tex]\frac{6}{3} (13-18)+2^{4}[/tex] ÷ [tex]6[/tex]
2 ( -5) + 16÷ 6
-10 + 2.667
-7.333
1. You live in New York and travel by express subway to work 4 times a week for a cost of $15.00 each day. You can get an unlimited week pass for $34. How much can you save by buying the pass?
Answer:
$26
Step-by-step explanation:
4 times a week, $15 a day
It means that he have to pay $60 a week for travelling
$60-$34 = $26
By buying the pass I can save $26 a week
Answer:26 DOLLARS saved
Step-by-step explanation:
Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0. A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.
The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
What is the length of FH in the right triangle below?
Answer:
7
Step-by-step explanation:
apply the Pythagorean theorem
[tex]10 {}^{2} = ( \sqrt{51} ) {}^{2} + x {}^{2} \\ 100 = 51 + x {}^{2} \\ 100 - 51 = x {}^{2} \\ 49 = x {}^{2} \\ x = 7[/tex]
Steps to solve an equation are shown below. Which properly justifies step 4? Given: 2x + 9 = 4x + 15
Answer:
The answer is
→ No property
Step-by-step explanation:
Given equation: [tex]2x + 9 = 4x + 15[/tex]
What were supposed to do: Which properly justifies step 4.
Solve:
[tex]2x + 9 = 4x + 15[/tex]
Step 1: We must subtract 4x on both sides.
[tex]2x+9-4x=4x+15-4x[/tex]
[tex]= -2x+9=15[/tex]
Step 2: We must subtract 9 on both sides.
[tex]-2x+9-9=15-9[/tex]
[tex]= -2x=6[/tex]
Step 3: We must divide both sides by -2.
[tex]\frac{-2}{2} = \frac{6}{-2}[/tex]
[tex]= x = -3[/tex]
Result:
[tex]x=-3[/tex]
There is no Step 4.
Vigorous intensity physical activity target heart rate ranges between
A. 80-9096
B. 70-80%
C. 75-8596
D. 65-75%
Answer:
70% to about 85% of your maximum heart rate
Step-by-step explanation: