Answer: the correct answer is A. 35, 55
Step-by-step explanation: got it right on my exam today
35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.
What is congruent angle?Congruent angles are the angles that have equal measures.
According to the given question
We have different angles for [tex]sinx[/tex] and [tex]cosy[/tex].
And we have to find "the pairs of angles which has congruent values for sinx and cosy.
Therefore,
35 degree and 55 degree
sin(35) = [tex]sin(\frac{7\pi }{36})[/tex] =0.57
cos(35) = [tex]cos(\frac{11\pi }{36})[/tex] = 0.57
⇒ 35 degrees and 55 degrees are the pair of angles has congruent values for sinx and cosy.
35 degrees and 70 degrees
sin(35) =[tex]sin(\frac{7\pi }{36} ) =0.57[/tex]
cos(70) =[tex]cos(\frac{7\pi }{18} )[/tex] = 0.34
⇒35 degrees and 70 degrees are the pair of angles have not congruent values for sinx and cosy.
35 degrees and 145 degrees.
sin(35)=[tex]sin(\frac{7\pi }{36} )= 0.57[/tex]
cos(145) = [tex]cos(\frac{29\pi }{36} )= -0.8[/tex]
⇒ 35 degrees and 145 degrees are the pair of angles have not congruent values for the sinx and cox.
35 degrees and 55 degrees
sin(35) =[tex]sin(\frac{7\pi }{36} )[/tex]= 0.57
cos(35) = [tex]\frac{x}{y} =\frac{7\pi }{36} = 0.8[/tex]
⇒ 35 degrees and 55 degrees are the pairs of angles have not congruent values for sinx and cosx.
Hence, 35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.
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Rationalize the denominator and simplify √a + 2√y/√a-2√y
Answer:
[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]
Step-by-step explanation:
Simplify each term.
pls help me in my math subject
Answer:
you need all answers????
How many edges does the following shape have?
Answer:
8. hope this helps
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
using the triangle 45o -45o -90o theorem solve this triangle. please
Answer:
k = 24·√2
Step-by-step explanation:
Given that the angles of the triangle are 45° by 45 by 90°, we have;
The given right triangle = An isosceles right triangle by two angles being equal
The given angle of the right triangle = 90°
The given leg of the right triangle = 24
For an isosceles right triangle, both legs are equal, therefore;
The length of the other leg of the right triangle = 24
By Pythagoras theorem, the measure of the side opposite the 90° side, 'k', is given as follows;
k² = (One leg length)² + (The other leg length)²
∴ k² = 24² + 24² = 1152
k = √1152 = 24·√2 ≈ 33.94.
which is the most appropriate
instrument used to measure capacity
Answer:
Spirometer measurement is the most appropriate instrument to use
Step-by-step explanation:
A basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the basket in order to guarantee that there are at least 5 balls of the same color
Find x segment of circles
Answer:
x = 9
Step-by-step explanation:
When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lenfgths of the segments of the other chrod.
That means that
2x = 3 × 6
2x = 18
x = 9
Help me PLEASEEEE AND QUICKKK
Charles bought a box of fruit that contain only oranges and tangerines there were five oranges for every three tangerines in the box there were 20 oranges in the box which of the following proportion can be used to find X the number of the tangerines in the box A. 5/8 = x/20 B. 5/8 = 20/x C. 5/3 = x/20 D. 5/3 = 20/x
Answer:
D
Step-by-step explanation:
Ratio of oranges to tangerines : 5/3
Oranges in box : 20
Tangerines in box : x
Oranges/Tangerine ratio = Oranges/Tangerine in box
5/3 = 20/X
A box contains 12 balls of which 5 are red, and 7 are blue. If 4 balls are drawn from the box, in how many ways can this be done if 1 is red and 3 are blue?
Answer:
175 ways
Step-by-step explanation:
5 balls are red, and 7 balls are blue making a total of 12 balls.
4 balls are drawn from the box,
1 ball is red and 3 balls are blue out of the 4 drawn from the box.
We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.
Since the order is not essential we use combinations to find out
5C1 * 7C3= 5*35 = 175 ways
Set up an equation that can be used to solve the variable.
So sin in math means:
In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. The abbreviation is sin.
Con in math means:
In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.
in this case it has to be a sin. So its either A, or B.
ii think a tho
Answer:
(a)
Step-by-step explanation:
Sin (37) = x/10.3
using trigonometric identity (Sin θ = AC/AB)
x/2
If x = 16, what is the solution?
A 8
B 9
C 14
D 32
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\rm{YOUR\ EQUATION: \dfrac{x}{2}}[/tex]
[tex]\large\text{If x = 16, then substitute it where the x-value is in the given equation}[/tex]
[tex]\rm{NEW\ EQUATION: \dfrac{16}{2}}[/tex]
[tex]\rm{\dfrac{\bold{16}}{{2}}[/tex]
[tex]\rm{= \underline{\bf 8}}[/tex]
[tex]\large\text{Because, 8}\times\large\text{2 gives you 16}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf Option A. 8}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A Dilation has a center (0,0). Find the image of this point for the given scale factor: P (2-4); D 0.5 (P)
Answer:
(1, -2)
Step-by-step explanation:
The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.
For your given point (2, -4) with a scale factor of 0.5:
2 times 0.5 = 1
-4 times 0.5 = -2
Therefore your new point will be (1, -2).
Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. 25 point question btw
Answer:
79 degrees
Step-by-step explanation:
79 degrees is parallel to a. The line below is the same as the line above, since they are parallels, beaning d and b also are both 79 degrees
Answer:
[tex]79^{\circ}[/tex]
Step-by-step explanation:
From vertical angles, [tex]m\angle a=79^{\circ}[/tex]
From corresponding angles, [tex]m\angle b=m\angle a[/tex]
Therefore, we have [tex]m\angle b=m\angle a=\boxed{79^{\circ}}[/tex]
I need help with these question please help me!!
The correct answer is n - 7 = 30
who knows how to solve this problem
a = 3√3
a = 3 × 1.732
a = 5.196
a = 5.2 inches
How many square yards of carpet are needed for a 21x18 living room?
Answer:
13 i think
Step-by-step explanation:
List the inventions of charles Barbbage.
Answer:
1.anlyatical engine
2.difference engine
Answer:
Inventions of Charles Babbage :
ComputerAnalytical EngineDifference enginePilot23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers
Answer:
So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}
Step-by-step explanation:
Here multiplicative property will be used .
a*1/a= 1
1* a/1= a ( reciprocal)
23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to
get the original number.
23/147 yd*147/2 × 3/14*147/2
23/2 yds × 441/28
11 1/2 yds × 15 3/4
So the dimensions are 11 1/2 yds × 15 3/4 11 whole number 1 by 2 multiplied by 15 whole number 3 by 4.
What is the surface area? 17 ft 16 ft 17 ft 19 ft 15 ft
Answer:
1,317,840
17×17=289×16=4,624×19=87,856×15=1,317,840
What is the value of the expression below?
Answer:
7
Step-by-step explanation:
When you are raising a power to a power, you can multiply them:
[tex](49^3)^{\frac{1}{6}}=49^{3*\frac{1}{6}}[/tex] = [tex]49^{\frac{3}{6}}[/tex] = [tex]49^{\frac{1}{2}}[/tex]
When raising a number to the power of 1/2, you are basically finding the square root of the number:
[tex]49^{\frac{1}{2}}[/tex] = [tex]\sqrt{49}[/tex] = 7
What is the value of x in the figure shown below?
C
4.9
D
31°
4
111°
B В
A
4.9
Answer:
Step-by-step explanation:
for missing angle of triangle ABC
let the missing angle be y
31+111+x=180(sum of interior angle of a triangle is 180 degree)
142+y=180
y=180-142
y=38 degree
x=y(being alternate angles)
x=38 degree
mm mmm m m m n b gg mm m m m m m
Answer:
2x-2+2x-2+x+x=50
6x-4=50
6x=54
x=9
hope this helps
have a good day :)
Step-by-step explanation:
sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!
Answer:
(1/2)^2= 0.25 thank you
What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, which numbers you multiplied to find the volume. You may want to use the formula for volume to find the solution.
Answer:
[tex]15,000\:\mathrm{mm^3}[/tex]
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by [tex]V=s^2\cdot h[/tex], where [tex]s[/tex] is the base length and [tex]h[/tex] is the height. Substituting given values, we have: [tex]V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}[/tex]
The volume of a trapezoidal prism is given by [tex]V=\frac{b_1+b_2}{2}\cdot l\cdot h[/tex], where [tex]b_1[/tex] and [tex]b_2[/tex] are bases of the trapezoid, [tex]l[/tex] is the length of the height of the trapezoid and [tex]h[/tex] is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ([tex]\frac{b_1+b_2}{2}[/tex]) multiplied by the trapezoid's height ([tex]l[/tex]).
Substituting given values, we get:
[tex]V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}[/tex]
Therefore, the total volume of the composite figure is [tex]5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}[/tex] (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
[tex]V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark[/tex]
A teacher uses a stem-and-leaf plot to record the typing speeds of her students, in words per minute.
Drag values to the table to show the median and mode of the data she recorde
Which expression is equivalent to x^2-7x+12+(X-3)^2
Answer:
2x²−13x+21
Step-by-step explanation:
Answer: x+4/x-4
Step-by-step explanation:
What is the value of x?
Answer:
it's 19 degrees because it's a 90 degree angle
Answer:
19 degrees
Step-by-step explanation:
90-71=is 19 because it is a 90 degree angle.
What is the value of X?
Answer:
x=20
Step-by-step explanation:
First, find LJ
Angle L = 60 (180 - 30 - 90)
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(L)=adj/hyp
cos(60)=LJ/40√2
LJ = cos(60)*40√2
LJ = 20√2
Now you can use LJ to find x. You also know the value of each angle, 45
x=20√2⋅cos(45)
x=20
Find the measure of the arc.
A
146°
E
ĀC = [ ? ]
Answer:
90°
Step-by-step explanation:
m arc AC = 90°
_____________
The measure of the arc length AC is 90 degrees.
What is an arc length of a circle?The arc length of a circle is the distance between two points on the curve of the circle.
We have,
The arc length and the angles with the center on a circle are equal.
So,
Arc length AC makes a 90-degree angle with the center of the circle.
Now,
Arc AC = 90 degrees.
Thus,
The measure of the arc length AC is 90 degrees.
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You are a manager in one of the branches of a restaurant. The area manager assigned
you to analyze the statistical data of the ages of the customers who eat in your
restaurant. From the survey forms, the following are the summary of their evaluations:
Age - - - - - - - No. of Customers
16–20 - - - - - -32
21–25 - - - - - -40
26–30 - - - - - -15
31–35 - - - - - - 29
36–40 - - - - - - -11
Using the given data, determine how spread out the ages of the customers are using
measures of variability. Find out what ages fall within one standard deviation from the
mean. Knowing this, what range of ages or what age group should the restaurant give
more focus on, and what products do you think should the restaurant come up with to
generate higher sales? Submit a typewritten report detailing your answers, solutions, and
explanations to these questions.
Answer:
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