a. find the tangent ratio of angle FKG
b. find the tangent ratio of angle BKG
c. find the tangent ratio of angle KDF
d. find the tangent ratio of angle BCK
e. find the XY coordinates of point g with the center k
use the image to find the answers for each part mathematics high school done
Answers
Answer:
a. tan∠FKG = √3
b. tan∠BKG = 1
c. [tex]tan\angle KDF = \dfrac{1}{\sqrt{3} }[/tex]
d. tan∠BCK = 1
e. The coordinates of the point g is (4, 4·√3)
Step-by-step explanation:
a. The trigonometric ratio for tan is given as follows;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}[/tex]
Therefore, we have;
[tex]tan\angle FKG = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = tan(60^{\circ}) = \dfrac{sin(60^{\circ})}{cos(60^{\circ}) } = \dfrac{\dfrac{\sqrt{3} }{2} }{\dfrac{1}{2} } = \sqrt{3}[/tex]
b.
[tex]tan\angle BKG = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = tan(45^{\circ}) = \dfrac{sin(45^{\circ})}{cos(45^{\circ}) } = \dfrac{\dfrac{1 }{\sqrt{2} } }{\dfrac{1}{\sqrt{2} } } = 1[/tex]
c.
[tex]tan\angle KDF = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = tan(30^{\circ}) = \dfrac{sin(30^{\circ})}{cos(30^{\circ}) } = \dfrac{\dfrac{1 }{2 } }{\dfrac{\sqrt{3} }{2 } } = \dfrac{1}{\sqrt{3} }[/tex]
d. In right triangle, ΔBKC, ∠BCK = ∠BKC = 45°
∴ tan(∠BCK) = tan(45°) = 1
e. The x-coordinate of the point g is 4
The y-coordinate of the point g is 4 × tan(60°) = 4·√3
The coordinates of the point g is (4, 4·√3).
Related Questions
During his first three months with the Houston Astros, Yordan Álvarez's batting average was represented by three hundred seventeen thousandths.
What is the value of the digit in the hundredths place written using numerals and expanded notation?
0.3 and (3 x110)
100 and (1 x 100)
0.01 and (1 x1100)
0.007 and (7 x11000)
Answers
Answer:
The correct option is;
0.01 and (1 × 1/100)
Step-by-step explanation:
The given parameters includes;
The batting average of Yordan Alvarez's = 0.317
Therefore, we have;
The digit in the hundredths place = 0.01
The expanded notation for the value of the hundredth place is given by the product of the digit and the place value digit as follows;
The expanded notation = 1 × 1/100.
What is the answer???
Answers
Answer:
side IG < side HI < side GH
(greatest to least)
Step-by-step explanation:
angle with respect to appropriate side
angle GHI < angle HGI < angle HIG
Drag and drop the correct answers
to show the area of the shaded
parts. DOK 2
Given that the radius of the circle is
2 yd.
Answers
Step-by-step explanation:
Area of first triangle = 1/2bh
the base of the triangle = the radius of the semi-circle = 2yd
height = 5yd
Area = 1/2(5yd)(2yd)
A = 5yd(yd)
A = 5y^2d^2 squared units.
since the second triangle also has the same dimensions as the first triangle
hence:
Area of the second triangle = 5y^2d^2 squared units.
Area of semi-circle = πr^2
Area = π(2yd)^2
A = 4πy^2d^2 squared units
Which angle in ABC has the largest measure?
Answers
Answer:
Angle B
Step-by-step explanation:
Angle B because the measure of angle B is 12 . Angle A has a measure of 7 and angle C has a meausre of 10 which both measures of the angles are less than angle B. Think of it like this... 17 people (7+10) went to a Bakery. There were only 7 cupcakes and 10 sweet potato pies. To start with there were 35 cupcakes and 35 sweet potato pies. 7 people ordered cupcakes and 10 people ordered sweet potato pie. There were 18 left of the 2 deserts. 18 is greater than 7 and 10. That´s why angle B is the angle that has the largest measure. 12 is greater than 7 and 10. If there were only 7 milkshakes left and 10 people wanted a milkshake, only 7 people would be able to get a milkshake. 3 people wouldn´t be able to get a milkshake
So angle B is the correct answer.
Answer: angle b
Step-by-step explanation:
A linear function has a y-intercept of 4 and passes through the point (-6 , 1 ) what is the slope of this line
Answers
Answer: m= 1/2
Step-by-step explanation:
It rises +3 and shifts right 6, and if simplified gives you 1/2.
25 points for right answers
Answers
A square table has a perimeter of 16 feet.
Which of these is the length of a side of
the table?
Answers
Answer:
4
Step-by-step explanation:
16/4=4 (16 is the perimeter divided by the 4 equal sides since it is a square)
A can of drink costs 32p. The cost of the drink has increased to 38p.
Jenny calculates that this is a percentage increase of 19%
Is Jenny's percentage correct?
PLZ SHOW WORKING OUT
Answers
Answer:
Jenny's percentage isn't correct
Step-by-step explanation:
You'd have to divide first:
38 / 32 = 1.1875 = (rounded) 1.19%
The percentage increase is 1.19%
Answer:
the percentage is 100 because you add 32 and 38 and equals 100 if you were to subtract you would have got 6%
If 3g - 11 + 3y, what is the value of y when g is 12?
Answers
Answer:
25 + 3y
Step-by-step explanation:
3g - 11 + 3y when g = 12
~Substitute
3(12) - 11 + 3y
~Simplify
36 - 11 + 3y
~Combine like terms
25 + 3y
Best of Luck!
Answer:
y=25
Step-by-step explanation:
I think this may be the answer but I'm not sure.
1.037 word form. Just some help
Answers
Answer:
one and thirty-seven thousandths
or simpler one point zero three seven
Step-by-step explanation:
Michael has 6 dimes. He plans to give 5 dimes to his cousin. He can use the expression 6 - 5 to find how many dimes he will have left. Cross out integer chips to model 6 – 5. - -
Answers
Answer:
1 dime? I don't see an integer chip or whatever.
Step-by-step explanation:
royce drove 42 miles in 60 minutes. at this rate, how far will royce travel in 1 minute
Answers
Explanation:
42/60 = 0.7
Find the 91st term of the arithmetic sequence 5,−14,−33,...
Answers
Answer:
-54
Step-by-step explanation:
Answer:
Let's simplify
91st(5)−14−33
Step-by-step explanation:
step-by-step
=455st−47.
I hope my answer helped
TRUE or FALSE: Darrell writes 15 text messages in 5 minutes. That is the same rate as 30 text messages in 15 minutes.
True
False
Answers
Answer:
false false false
Step-by-step explanation:
hope this helps :]
point of the circumference
Answers
Answer:
(-14, 4)
Step-by-step explanation:
I graphed it on Desmos Graphing calculator. This is a great resource. Hope this helps!
Step-by-step explanation:
( - 14, -4)
is a right answer
Each month, Ellie spends 6 hours in tap class at her dance studio. If each month she spends 30% of her class time in tap class, what is the total number of hours she spends in dance classes each month? Show your work or explain how you found your answer in complete sentences.
Answers
Answer:
high so I think your answer might be so says each month at least $26 and tap class at her dance studio if each when she spends 30 of her class time in tap class how is the total number of hours spent it in dance class each month show your work or explain how he found your answer in a sentence so basically divide 30 by 6 and then you get your answer which is 5
Given the figure above, determine
Answers
Answer:
20 degrees
Step-by-step explanation:
Ans in attachment
hope it helps :)
plz mark as brainliest
Hellpp!!! will award brainliest for the first correct answer
Answers
Answer:
a) (-2,-1)
b) (-3,0) (-1,0)
Step-by-step explanation:
It tells you on the graph
Answer:
a) I think the turning point is max or min correct? If so, the min of the function is (-2, -1) AKA the vertex
b) I also think the roots are just another way to say the x-intercepts so in that case, the roots are (-1, 0) and (-3, 0)
Step-by-step explanation:
I hope that helps!
I WILL GIVE BRAINLIEST SOLVE THESE PROBLEMS.
1) A store has hats for $9 each on a square table. The table is covered in hats and each hat uses 1 square foot of space. If the table is 5 feet square, how much would all the hats on the table cost?
2) A cube shaped tank has edged lengths of 1/2 foot. Sheldon used the expression s^3 = V to find the volume, What was the volume of the tank in cubic feet?
Answers
2.) The answer for this problem is (I don’t know, sorry)
drop the craziest thing you have ever done the best answer gets to be the top brainliest let it begin plus u gt 50
Answers
Okay so not super crazy but one night me, my brothers, my cousin, and a few friends from our campground stayed up all night and walked in the rain. Not the crazy part though obviously. It was pouring and we got to the complete opposite side of the camp and through the woods and thought it was a good idea to go to the 'abandoned bathrooms" at like 2 in the morning. So we walked through the woods and made it there, we then found that someone boarded it up so you couldn't enter the bathrooms anymore. My older brother found a crowbar on the ground and beat the hecc out of the boys side boards until we could go in. We went in and messed around for a bit. We didn't make it home until the early hours of the morning. It was really fun and we got to scare my cousin lol
Jennifer bought 3 shirts for $48.00. At the same rate, how much would Jennifer pay for 10 shirts?
Answers
Answer:
160.00
Step-by-step explanation:
48 divided by 3 is 16, 16 times 10 is 160.
Answer:
160 bucks
Step-by-step explanation:
48/3=16
16x10=160.
160 bucks
George is tracking the growth of his tomato plant. It is currently 13 cm tall and grows 2 cm per day.
18. Write an equation to represent this situation.
19. How tall will the plant be after 2 weeks?
Answers
Answer:
growth = 2 x day
^growth based off what day it is
^how much it grows per day
^ day at hand
2x14 (2 weeks)= 28 cm
?
Select the correct answer.
Which graph represents a direct variation?
Answers
Answer:
it has to be c
Step-by-step explanation:
Answer:
c is the correct answer
Step-by-step explanation:
What is the value of x in the right triangle?
90
26
10
37
O 127
O 90
O 53
Answers
HURRY PLEASE I DONT WANT TO FAIL
Answers
Answer:
2 is A. no solution
3 is C. 6
Step-by-step explanation:
Solve the rational equation quantity 3 times x minus 5 end quantity divided by 7 equals four sevenths. A: f(n) = f(n − 1) ⋅ 0.3 + 25, n > 0 B: f(n) = 100 − f(n − 1) ⋅ 0.3 + 25, n > 0 C: f(n) = f(n − 1) ⋅ 0.7 + 25, n > 0 D:f(n) = 100 − f(n − 1) ⋅ 0.7 + 25, n > 0
Answers
Answer:
2.8 < x -0
Step-by-step explanation:
You sold a total of 56 student and adult tickets for a total of $328. Student tickets cost $5 and adult tickets cost $8. How many student tickets were sold?
Answers
Answer:
The number of student ticket sold is 40
Step-by-step explanation:
Given;
total number of tickets sold,= 56 tickets
total amount the tickets were sold, = $328.
cost of student tickets, = $5
cost of adult ticket, = $8
Let the number of student ticket sold = x
Let the number of adult ticket sold = y
To determine the number of student tickets sold, we will have the following equations;
x + y = 56 ------ equation (1)
5x + 8y = 328 -----equation (2)
from equation (1), y = 56 - x
Substitute the value of y in equation (2);
5x + 8y = 328
5x + 8(56 - x) = 328
5x + 448 - 8x = 328
5x - 8x = 328 - 448
- 3x = - 120
x = 120 / 3
x = 40
Therefore, the number of student ticket sold is 40
If f(x)=2x and g(x) = x+5 then (fg)(x)=
Answers
Step-by-Step-Explanation:
(fg)(x)=(f(x))(g(x))
(fg)(x)=(2x)(x+5)
(fg)(x)=2x^2+10x
yard
1
Rachel is making a bracelet and a necklace for her friend. She needs
3
5
of wire to make a bracelet and yard of wire to make a necklace. She
6
estimates that she will need about yards of wire.
9
Which best explains her estimate?
Answers
Help me please not tryna fail !
Answers
Answer:
x=27
∠JLK=2x+1=2(27)+1=55
Step-by-step explanation:
∠A+∠K=180
3x+13+∠K=180
∠K=167-3x
∠K+∠L+∠J=180
167-3x+39+2x+1=180
207-x=180
x=27
∠JLK=2x+1=2(27)+1=55
Don't worry, you aren't gonna fail. Take a deep breath and relax. Geometry is tricky but you got this. Have a nice night.
Answer:
x = 27°∠JLK = 55°Step-by-step explanation:
∠AKL is exterior angle and as per property it is equal to sum of two non-adjacent angles:
∠AKL = ∠ KJL + ∠JLK3x + 13° = 39° + 2x + 1°Solving for x
3x - 2x = 39° + 1 - 13x = 27°And finding the value of ∠JLK:
∠JLK = 2x + 1 = 2*27° + 1° = 55°