Write an expression that can be used to find the length of JH and an expression that can be used to find the length of GJ.
Answers
Answer: JH = 9 sin(35)
not sure about GH...
Step-by-step explanation:
The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.
The expression required to fine the length of GJ is,
[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]
The length of the [tex]GJ[/tex] is 5.162 units.
What is right angle triangle?A right angle triangle is the triangle in which measure of one of the angle is equal to the 90 degrees.
The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.
Given information-
In the given triangle shown in the figure,
[tex]\angle JGH=35[/tex]
The angle [tex]\angle HJG[/tex] is right angle, which is equal to the 90 degrees.
As the sum of all the angles of a triangle is equal to the 180 degrees. Thus,
[tex]\angle JGH+\angle HJG+\angle GHJ=180\\[/tex]
Put the values,
[tex]35+90+\angle GHJ=180\\125+\angle GHJ=180\\\angle GHJ=180-125\\\angle GHJ=55[/tex]
In the given triangle, the side [tex]GJ[/tex] is the opposite side of the triangle and [tex]GH[/tex] is the hypotenuse side of the triangle.
Thus the length of the [tex]GJ[/tex] for the right triangle can be given as,
[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]
This is the required expression,
[tex]GJ=\sin 35\times9\\GJ=0.574\times9\\GJ=5.162[/tex]
Thus the length of the [tex]GJ[/tex]5.162 units.
The expression required to fine the length of GJ is,
[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]
The length of the [tex]GJ[/tex]5.162 units.
Learn more about the sides of a right triangle here;
https://brainly.com/question/14517390
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Step-by-step explanation:
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Work out the circumference of this circle.
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Answer: 52.7856cm
Step-by-step explanation:
Circumference of a circle = 2πr
Note that radius = Diameter / 2 = 16.8/2 = 8.4cm
Circumference = 2πr
= 2 × 3.142 × 8.4
= 52.7856cm
Therefore, the circumference of the circle is 52.7856cm
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Answer:
1. 1/4
2. 43/10 or 4 3/10 either are correct.
3. 67/12 or 5 7/12 either are correct.
Step-by-step explanation:
I hope this helped.
Tan(x)-sqrt (3)=0, I know that one of the solutions should be pi/3, but I don’t know how to get to that, does anyone know how to solve this?
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Answer:
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Step-by-step explanation:
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Answer:
I believe it would be 4.563 x 10^8
A plane takes off and climbs steadily for 15 minutes until it reaches 30,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which takes 15 minutes at a constant rate
Answers
[tex]2v^{2} +14=104[/tex]
Answers
Step-by-step explanation:
[tex]2 {v}^{2} + 14 = 104 \\ 2 {v}^{2} = 104 - 14 \\ 2 {v}^{2} = 90 \\ {v}^{2} = 90 \div 2 \\ {v}^{2} = 45 \\ v = \sqrt{45} [/tex]
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Answers
Answer:
30%
Step-by-step explanation:
The functiona f(x) and g(x) are shown on the graph.
What is g(x)?
f(x)
10
-5
g(x)
A
-10
A. 9(x) = -x2 - 4
B. g(x) = -x + 4
c. g(x) = (-x)² - 4
D. g(x) = (-x)2 + 4
Answers
Answer:
A. g(x) = -[tex]x^{2}[/tex] - 4
Step-by-step explanation:
f(x) is flipped, so [tex]x^{2}[/tex] becomes -[tex]x^{2}[/tex].
After being flipped, the graph is move down 4 units.
Therefore, g(x) = -[tex]x^{2}[/tex] - 4
An engineer designs a structure that is is 21 feet long and 3
yards high. What is the ratio of length to height?
Answers
Answer:
7:3
Step-by-step explanation:
Convert one of the measurements to the other before attempting to solve the question.
1 yard = 3 feet
Multiply both sides by 3 to get:
3 yards = 9 feet
Therefore the ratio would be
21:9
Simplify to 7:3 length to height.
Find the area of a parallelogram. If base = 15 cm; height= 5 cm
Answers
Base * Height = area
Which graph represents the function f(x) = 1/3 |x|?
Answers
Answer:
b
Step-by-step explanation:
An airplane is preparing to land at an airport. It is 42,000 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
Answers
Answer:
7 minutes
Step-by-step explanation:
From the question :
Descent = ascent
Initial height * descent rate = initial position * ascent rate
Plane on ground is at an initial position or height of 0
42000 - 3300t = 0 + 2700t
Where, t = time
-3300t - 2700t = 0 - 42000
-6000t = - 42000
t = 42000 / 6000
t = 7 minutes
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Answer:
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What do a rectangle and a rhombus have in common? Select all that apply.
Their angle measures add to 360°.
They have four right angles.
They have four congruent sides.
The opposite sides are parallel.
Answers
The opposite sides are parallel.
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When working in trigonometry, you typically measure angles in
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Answer:
Radians
Hope that helps!
Step-by-step explanation:
angle not necessarily drawn to scale
Answers
Answer:
pretty sure its 67
Step-by-step explanation:
straight line=180 and that one angle is a right angle
basically 90+23+x=180
x=67
You flip a coin. What is P(not tails)? 50%
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help with questions 10-13 plz!!
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Answer:
._. ;
._. ;
._. ;
.16 with the 6 repeating to a fraction
Answers
1/6
1/6
What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Answers
The question is incomplete. The complete question is :
A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m
Solution :
From the figure, we apply the Pythagoras theorem.
Finding the lengths of the two side walks :
1st Step
In the square section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+15^2}$[/tex]
[tex]$=\sqrt{450}$[/tex]
= 21.21 m
2nd step
In the rectangular section,
The length of the diagonal is given by :
[tex]$D=\sqrt{15^2+8^2}$[/tex]
[tex]$=\sqrt{289}$[/tex]
= 17 m
3rd step
Therefore, the total length of the two diagonals of the two section is
= 17 + 21.21
= 38.21 m
or 38.2 m
Answer: it's D (38.2nm)
Step-by-step explanation:
Mark is going to an awards dinner and wants to dress appropriately. He has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of Mark's possible outfits are listed below.
Ir we take outfits 1, 2, 5, and 6 as a subset of the sample space, which of the statements below describe this subset?
Choose all answers that apply:
(Choice A)
The subset consists of all the outfits that do not have a white shirt.
(Choice B)
The subset consists of all the outfits that have either a blue shirt or a black shirt.
(Choice C)
The subset consists of all the outfits that have a black shirt.
(Choice D)
The subset consists of all the outfits that have a white shirt.
Answers
Solution:
Outfit Shirt Slacks Tie
Outfit 1 Blue Black Red
Outfit 2 Blue Grey Red
Outfit 3 White Black Red
Outfit 4 White Grey Red
Outfit 5 Black Black Red
Outfit 6 Black Grey Red
We take the outfits 1, 2 , 5 and 6 as a subset of the sample space.
So these 1, 2, 5 and 6 consists either a blue shirt or a black shirt.
The subset consists of all the outfits that do not have a white shirt.
So the correct options are :
1. (Choice A)
The subset consists of all the outfits that do not have a white shirt.
2. (Choice C)
The subset consists of all the outfits that have a black shirt.
M∠ACB = 52° , find m∠CBE =________°
Answers
Answer:
(1) It is given that line AB is tangent to the circle at A.
∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)
Thus, the measure of ∠CAB is 90º.
(2) Distance of point C from AB = 6 cm (Radius of the circle)
(3) ∆ABC is a right triangle.
CA = 6 cm and AB = 6 cm
Using Pythagoras theorem, we have
BC2=AB2+CA2⇒BC=
√
62+62
⇒BC=6
√
2
cm
Thus, d(B, C) = 6
√
2
cm
(4) In right ∆ABC, AB = CA = 6 cm
∴ ∠ACB = ∠ABC (Equal sides have equal angles opposite to them)
Also, ∠ACB + ∠ABC = 90º (Using angle sum property of triangle)
∴ 2∠ABC = 90º
⇒ ∠ABC =
90°
2
= 45º
Thus, the measure of ∠ABC is 45º.
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
a) 2x+(x+36)=90
Step-by-step explanation:
b) A1+A2=90°. (A=angle)
2x+(x+36)=90
2x+x+36=90
3x+36=90
3x=90-36
x=54/3
x=18
then A1=2x=2*18=36°
A2=x+36=18+36=54°
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Answers
Answer:
175 dollars
Step-by-step explanation:
from that word problem the equation that i was able to get out of it was
1225/ 7
^ the travel allowance and how much days they are going to be there
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i hope this helps you! please stay safe and have a good day :)
Answer:
Um, the answer for that is 175.
Step-by-step explanation:
all you need to do is divide $1,225 by 7 which is 175.
In circle S with m RST = 104°, find the angle
104°, find the angle measure of minor arc RT
T
S
R
Answers
Answer:
104
Step-by-step explanation:
:)
Newton has a population of 23 000. The population decreases exponentially at a rate of 1.4% per year. Calculate the population of Newton after 5 years.
Answers
Answer:
Step-by-step explanation: 1.4 x the amount of years = 7 then 23000 divided by 7 = 3,285.7