Answers
Step-by-step explanation:
by trigonometry,
cos 30 = x/12√3 =√3/2
→ x=18
sin 30 =y/12√3=1/2
→ y=6√3
The values of x and y are 18 and 10.392 respectively.
What are the right triangles?The definition for a right triangle states that if one of the angles of a triangle is a right angle - 90º, the triangle is called a right-angled triangle or simply, a right triangle. In the given image, triangle ABC is a right triangle, where we have the base, the altitude, and the hypotenuse. Here AB is the base, AC is the altitude, and BC is the hypotenuse.
Given right triangle
hypotenuse = 12√3
base = x and height = y
angle of base = 30°
cosФ = b/h
cos30 = x/12√3
x = 12√3 x √3/2
x = 18
and sin30 = p/h
sin 30 = p/12√3
p = 1/2 x 12√3
p = 6√3
p = 10.392
Hence the values of x= 18 and y = 10.392.
Learn more about right triangles;
https://brainly.com/question/29285631
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Related Questions
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answers
Answer:
Step-by-step explanation:
We start at (-7, 7). A translation of 1 unit to the right results in (-6, 7). A translation down from there results in (-6, 4). This is the desired image point.
Should i write a song and post it?
Answers
Answer:
yesssssssssssssss do itttttttt
Answer:
If you want, thats cool
Step-by-step explanation:
Im kinda curious about the song....
thats a nice day
I really help with this ill mark u brainliest pls
Answers
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
What’s the GCF of (45x power of 2) y, and (54xy power of 2)
Answers
Answer:
[tex]9xy[/tex]
Step-by-step explanation:
I suppose you're asking for the GCF of [tex]45x^2y[/tex] and [tex]54xy^2[/tex].
[tex]45x^2y = 3^2 \times 5 \times x^2 \times y\\54xy^2 = 2 \times 3^3 \times x \times y^2[/tex]
The GCF is [tex]3^2 \times x \times y = 9xy[/tex].
z=2 = 27
_____ __
4 12
Answers
Answer:
hmmmmmm
i believe that the answer is _
because of _
(i helped w/ your other one lol)
Step-by-step explanation:
Real I need help ppplllsss
Answers
Answer:
the answer is a or c help it help it helps
Lake Michigan is one of five great lakes in north america.In summertime, lake Michigan recedes about 1/4 foot per hour. Lake Michigan is about 279 ft. In depth.
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, a possible question is "calculate the depth of the lake after certain number of hours (say 2 hours)"
Given
[tex]Rate = \frac{1}{4}ft/hr[/tex]
[tex]Depth = 279ft[/tex]
First, we calculate the depth receded.
If the rate is 1/4ft per hour
Then
The Depth receded in 2 hours is:
[tex]Receded = \frac{1}{4} * 2[/tex]
[tex]Receded = \frac{2}{4}[/tex]
[tex]Receded = 0.5ft[/tex]
The new depth is then calculated as:
[tex]New\ Depth = 279ft - 0.5ft[/tex]
[tex]New\ Depth = 278.5ft[/tex]
Help me please........
Answers
Answer:
(7, -1)
Step-by-step explanation:
Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.
Find the value of x. Round to the nearest tenth. Can you please give me the step by step?
Answers
Answer:
x = -4.4
Step-by-step explanation:
i hope this can explain?
Need help please will give brainliest
Answers
Answer:
x = 60
Step-by-step explanation:
The formula for this kind of question is
Area of sector = x / 360 * pi * r^2 = 24*pi
x/360 * pi * 12^2 = 24 pi
x/360 * pi * 144 = 24 pi the pi s cancel out
x / 360 = 24/144 Multiply both sides by 360
x = 24 * 360/144
x = 60
which list has the angles of ABC in order from smallest to largest ?
Answers
Answer:
Answer choice A (<A,<B,<C)
Step-by-step explanation:
I have attached a rough drawing of this type of triangle (not to scale)
The longest side of the triangle is always the side opposite of the largest angle. Since side AB is the longest, we know that angle C is the largest angle.
This is also true for the smaller angle. The smallest angle is always opposite the shortest side. The shortest side is side BC. The angle opposite this side is angle A, meaning angle A is the smallest.
Hope this helps :-)
25t=12.5
find the value of t
Answers
Answer:
t = 0.5
Step-by-step explanation:
Divide both sides by 25.
t = 12.5/25
t = 0.5
what is 46274648354846374 times 77466
Answers
:)))))))))))))
When our family went out to dinner, the bill came to $55.75. There was 7%
tax and we left a 20% tip. Find the total price.
A.$15.05
B.$40.70
C.$82.75
D.$70.80
Answers
answer this. please.
Answers
Answer:
D
Step-by-step explanation:
I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times
Which of the following represents the lowest speed in miles per hour?
6 miles in 1/8 hour
11 miles in 1/4 hour
16 miles in 3/8 hour
20 miles in 1/2 hour
Answers
Answer:
C . 16 miles in 3/6 hour. Because 3/6 is 1/2. So, the answer would basically be 16 miles in 1/2.
A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?
Answers
Answer:
Dimension = 6 feet × 3 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 6 feet
Distance around the fence (Perimeter) = 18 feet
Dimension of the fence =?
Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:
Length (L) = 6 feet
Perimeter (P) = 18 feet
Breadth (B) =?
Perimeter of rectangle is given by:
P = 2(L + B)
18 = 2 (6 + B)
Clear the bracket
18 = 12 + 2B
Collect like terms
18 – 12 = 2B
6 = 2B
Divide both side by 2
B = 6/2
B = 3
Thus, the breadth of the rectangular fence is 3 feet
Dimension of the rectangular fence is given by:
Dimension = length × Breadth
Length (L) = 6 feet
Breadth (B) = 3 feet
Dimension = 6 feet × 3 feet
Leland swam from the dock east 26 meters. He turned and swam another 10 meters, as shown in the diagram below. 26 m Dock 10 m What is the value of x, the distance Leland swam to return to the dock?
Answers
Answer:
x=12
Step-by-step explanation:
Answer:
24m
Step-by-step explanation:
you can use khan academy to help you out on this kind of stuff
The temperature dropped 6°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was
loc.
Answers
9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.
Answers
Answer: the x should be next to the 107 instead of the 89
Step-by-step explanation:
It’s algebra 6x -9=y show work
Answers
Answer:
6x - 9 = y
x - (-1.5)
x - (-1.5) = y
Step-by-step explanation:
please help me solve 9x-27=
Answers
Answer:
x = 3
Step-by-step explanation:
9x - 27 =?
+27 +27
9x = 27
divide both sides by 9
x = 3
Hope this Helps!!!
write an equation of the line that passes through the given point with the given slope. (-1,4) m=-3
Answers
Answer:
y - 4 = -3(x + 1)
Step-by-step explanation:
Let's use the point-slope formula y - k = m(x - h):
y - 4 = -3(x + 1)
What is the joint relative frequency that a person surveyed likes classical
music and pop music? *
5 points
What Types of Music do you Like?
Classical
Yes
No
Total
Pop
Yes
No
82
42
124
15
61
76
Total
97
103
200
0.41
0.97
Ο Ο Ο Ο
0.76
0.82
Answers
Answer:???
Step-by-step explanation:
PLS help me
this is for class, if you get it right i will give brainliest
Answers
Answer:
Yes
Step-by-step explanation:
a^2+b^2=c^2
7^2+11^2=c^2
49+121=c^2
170=c^2
then square it
c=13
7,11,13 is a pythagorean triple
Answer:
both answers you have put in are correct
Step-by-step explanation:
7^2=49
11^2=121
121+49=170
square root of 170 is the long side
not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)
is it ~13.0384
draw a number line with the solution to :1/4 - 1/2
Answers
Help
Please due now!!!!
Answers
Answer:
3920
Step-by-step explanation:
(9+11)(14•14)
(20)(196)
20 x 196
3920
Answer:
3920
Step-by-step explanation:
According to the question ,
x = 14 ; y = 9 ; z = 2
So, putting the values in the expression [tex](y + 11)( {x}^{z} )[/tex]
[tex] = > (9 + 11)( {14}^{2} )[/tex]
[tex] = > 20 \times 196 = 3920[/tex]
the students have 12 bags of balloon with 24 balloons in each bag they have filled 139 with air. if they use all the bags how many still need to be filled with air
A.67
B.149
C.288
D.365
Answers
Answer:
149
Step-by-step explanation:
12× 24 = 288
228 - 139 = 149
Answer:
B. 149
Step-by-step explanation:
If the students have already filled 139 balloons with air and are going to use all the bags. They would need to fill 149 more balloons.
The first step would be to find the total number of ballons by calculating 12x24 which will give you 288.
From here you would need to subtract the number of ballons that are already filled with air from the balloons that remain which would be 288-139. This would give you a total of 149 balloons that still need to be inflated.
In his last basketball game, Chris attempted a total of 25 shots and made 18 of them.What is the ratio of how many shots missed and how many shots made?
Answers
Answer:
7:18
Step-by-step explanation:
Chris attempted a total of 25 shots
He made 18 shots
Number of shots missed= 25-18
= 7
Therefore the ratio of shots missed and shots made can be calculated as follows
7:18
Hence the ratio is 7:18
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answers
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
