Using relations in a right triangle, it is found that the sine of 23 degrees is given by:
D. 5/13.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:
sin(23º) = 5/13.
Which means that option D is correct.
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write 90 cm as percentage of a metre??
Answer: 90%
Step-by-step explanation:
90 cm is 0.9 m
and 0.9 m is 90% of 1 m
Find the argument of the complex number 2 = 4+ 3i to the nearest whole degree.
Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.
The standard format of a complex number is:
[tex]z = a + bi[/tex]
In which:
a is the real part.b is the imaginary part.The argument is given by:
[tex]\theta = \tan^{-1}\left(\frac{b}{a}\right)[/tex]
In this problem, the number is:
[tex]z = 4 + 3i[/tex]
Hence, [tex]a = 4, b = 3[/tex], and:
[tex]\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37[/tex]
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What is the equation in slope-intercept form of the line that passes through the points (-4, 6) and (-2,5) ?
y=20 - 8
y=-30+4
y=-22 +4
y = -x + 8
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]
The ratio of the number of cupcakes to the number of pastries in a box is 7:2. Which table shows the possible amounts of cupcakes and pastries in a box, given the ratio? (2 points)
Question 1 options:
1)
Cupcakes Pastries
7 2
21 6
42 8
84 10
2)
Cupcakes Pastries
7 2
21 6
28 12
35 24
3)
Cupcakes Pastries
7 2
21 17
42 38
84 80
4)
Cupcakes Pastries
7 2
14 4
28 8
56 16
Answer:
I wish I could help but I don't know
Answer:
D is correct
Step-by-step explanation:
Answer this question fast pls
Answer:
Lemons ( 27 ) = Cups ( 9 )
Cups ( 50) = Lemons (30)
Interest and fees
the total cost of a credit purchase.
A. maintain
O B. decrease
C. do not affect
D. increase
Answer:
D. increase
Step-by-step explanation
Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.
Answer:
B
Step-by-step explanation:
Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!
If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)
[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]
helppppppp pleaseeee again im sorry but i dont know any of itttttt.
Step-by-step explanation:
sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =
sqrt(5x × 8x²) - 2×sqrt(5x × x) =
sqrt(40x) × x - 2x × sqrt(5) =
2x×sqrt(10x) - 2x×sqrt(5)
therefore, the last option is correct.
Write a function in any form that would match the graph shown below
Answers:
Vertex form: y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6Pick whichever form you prefer.
=============================================================
Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
The ratio of ronnys tern, dougs rent and ronalds rent is 4:5:8. Their total rent if $3723. What is the cost of each persons rent
Answer:
The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.
Step-by-step explanation:
Firstly, make all ratios into units:
Let Ronny = 4 units, Doug = 5 units,
Ronald = 8 units, Total = $3723
4 units + 5 units + 8 units = 17 units
17 units = $3723
1 unit = $3723 ÷ 17
1 unit = $219
Given that 1 unit is equals to $219. Let find the amounts:
Ronny = 4 × 219 = $876
Doug = 5 × 219 = $1095
Ronald = 8 × 219 = $1752
A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
PLEASE HELP ITS STUDY ISLAND
Answer:
c r/ 3/5
Step-by-step explanation:
i think
The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896
Answer:
1503 years
Step-by-step explanation:
Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.
What is the missing length?
Answer:
Length=12mi
Step-by-step explanation:
Area=123.6mi^3
Width=10.3mi
Length=u
Formula: Area=LxW
Area÷W=u
123.6÷10.3=12
Length=12mi
Hope this helps :)
If right you get brainiest!
A little mermaid can swim 12 miles downstream in the same amount
of time she can swim 8 miles upstream. What is the little mermaid's
speed in still water if the speed of the current is 4 mph?
Answer:
20 mph
Step-by-step explanation:
time = distance / speed
speed up stream = s - 4
speed down stream = s + 4
time up = time down
8 / (s - 4) = 12 / (s + 4)
cross multiply
8s + 32 = 12s - 48
subtract 8v from both sides
32 = 4s - 48
add 48 to both sides
80 = 4s
Divide both sides by 4
20 = s
20mph
19 /5 as a mixed number
Answer:
[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]
Step-by-step explanation:
5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.
Hi. can you help me?
Answer:
Sure
Step-by-step explanation:
First you need to ____
Next you need to ____
Last, put nothing
That's what you did, so I helped you out.
Is dis good
i- I think you forgot to put the picture.
Need help please
Will give Brainliest
Answer:
Step-by-step explanation:
1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )
2) graph
same as 3, 4, 5
6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )
7)
a) 110+92=202+x=c
b) 110+92=202
202+98=300
How many equal parts are there in this image
Answer:
6
It's kind of blury, so I can't really see it.
Answer:
4
Step-by-step explanation:
PLEASE HELP! Economics
Answer:
C is the answer.
Step-by-step explanation:
the US capital account was in surplus and Japanese current account
Find the point on the line y=x that is closest to the point (-4,8)
Answer:
(2,2)
Step-by-step explanation:
Please help me find my gpa I don’t know how
I have a C, A, B the rest are f
Answer:
Your GPA would be 1.5 If you have 6 periods.
Step-by-step explanation:
A = 4 GPA Points
B = 3 GPA points
C = 2 GPA Points
D = 1 GPA Points
F = 0 GPA Points
With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F) + 0 (F) assuming you have 6 periods which adds up to 9. You divide by the number of periods (6) totaling to 1.5 GPA Points.
Which set of side lengths will form a triangle
A: 16ft, 4ft, 21ft
B: 30ft, 30ft, 60ft
C: 12ft, 12ft, 20ft
D: 3ft, 5ft, 10ft
PLS HELP
Answer:
the set of side lengths will be d
In which quadrant does the angle t lie if tan(t)>0 and cos(t)<0?
A) II
B) IV
C) Cannot be determined
D) III
E) I
Quadrant is a quarter of a coordinate plane
The location of angle t is in quadrant 3
The trigonometry equations are given as:
tan(t)>0 and cos(t)<0
The cosine of an angle is negative in the following quadrants
Quadrant 2Quadrant 3The cosine of an angle is positive in the following quadrants
Quadrant 3The intersection of the above points is quadrant 3
This means that the angle is in quadrant 3
Hence, the true option is (D) III
Read more about quadrants at:
https://brainly.com/question/14450464
The graphs show information about the different journeys of 4 people.
a)
Which graph shows a person running then walking?
b)
Which graph shows a person who forgot something
and had to return home?
Answer:
A) b
B) c
Step-by-step explanation:
A) a large distance is covered in a short period of time but then the speed decreases
B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again
Silvia is planning to use a 4-year loan to purchase a car.
• The price of the car is $8,575.
• The amount of interest she will have to pay on the loan is $1,036
Silvia will combine the price of the car and the amount of interest to determine how much she must repay. She will make 48 equal monthly
payments.
Which of the following is the best estimate of each monthly payment Silvia will make?
A. $175
B. $200
C. $225
D. $250
Answer:
B
Step-by-step explanation:
8575 + 1036 = 9611
9611 is the full payment
9611 / 48 months = 200.229
About $200 every month
The best estimate of each monthly payment that Silvia will make is given by: Option B: $200
What to calculate net payable amount after interest is applied?The net payable amount is the sum of main amount to be paid + the amount of interest.
For this case, it is specified that:
The price of the car is $8,575.The amount of interest she will have to pay on the loan is $1,036Thus, we get:
Total payable amount by Silvia for car purchasing = $8575 + $1036 = $9,611
This payable amount is divided in 48 equal parts. The value of each part (the monthly payment amount by Silvia) is:
[tex]\dfrac{9611}{48} \approx 200 \: \rm dollars[/tex]
Thus, the best estimate of each monthly payment that Silvia will make is given by: Option B: $200
Learn more about division here:
https://brainly.com/question/26411682
HELPPP LAST ATTEMPT!!
Answer:
B' (-1,-5)
Step-by-step explanation:
When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.
What is 10 plus 5 to the 3 power minus 1? Order of operation
Step-by-step explanation:
(10+5)³-1 = 3375-1 = 3374.
Which of the following is equivalent to the expression 2/5 divided by 4 ?
A
5/2×4
B
2/5
C
2/5×1/4
D
2/5÷1/4
Answer:
C) 2/5×1/4
Step-by-step explanation:
Dividing by a number is the same by multiplying by the reciprocal of the number.
For Example:
1/2 divided by 3 would be the same as 1/2 x 1/3
So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4
can someone heelp me plz
Answer:
1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.
Step-by-step explanation:
For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.
Help me with this answer please
Answer:
£6.25
Step-by-step explanation:
2.25 x 15 = 33.75
40 - 33.75 = 6.25
Answer:
£6.25
Step-by-step explanation:
Hii,
So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75
To get change, you need to take away the amount you are giving by how much the bill is.
£40 - £33.75 = £6.25
I hope this helped :P