When instructed to find the length of HJ in right
triangle HJG, Alex wrote the equation
HJ
HJ
sin 28° = while Marlene wrote cos 62°
20
20
Are both students' equations correct? Explain
why.
H
+
20
28
O
G
Answers
See attachement for the diagram of the triangle
Answer/Step-by-step explanation:
To find the length of HJ, we can use different equations as follows:
✔️Recall: SOHCAHTOA
Let's take <G as the reference angle = 28°
Opposite side to reference angle = HJ
Hypotenuse = 20
Apply SOH.
Thus:
Sin 28° = opp/hyp
Sin 28° = HJ/20 (Alex's equation is correct).
Solving further, we would have:
HJ = Sin 28 * 20 ≈ 9.4
✔️Another way is by using <H as the reference angle.
m<H = 180° - (90° + 28°) (sum of triangle)
m<H = 62°
Adjacent side to reference angle (<H) = HJ
Hypotenuse = 20
Apply CAH:
Cos 62° = Adj/Hyp
Cos 62° = HJ/20 (Marlene's equation is correct)
Solving further, we would have,
HJ = Cos 62° * 20 ≈ 9.4
As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.
Related Questions
help please this is due by tonight
Answers
Answer:
0.27
Step-by-step explanation:
[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]
[tex]2)\ A_2 = 14 * 24 = 336[/tex]
[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]
A piece of land is 3 miles wide. It is 4 1/6 times as long as it is wide. How long is the piece of land?
Answers
Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]
Step-by-step explanation:
Given
A piece of land is 3 miles wide
It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide
Suppose width be b
So, length becomes [tex]\frac{24+1}{6}b[/tex]
Also, [tex]b=3\ \text{miles}[/tex]
[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]
Enter an expression equivalent to (2x^2- 4x + 5) + (x^2+ 3x – 7) using the fewest possible number of terms.
Answers
5x - 2
step-by-step explanation:
parentheses
(2x^2 - 4x + 5) + (x^2 + 3x - 7)
4x - 4x + 5 + 2x + 3x - 7
add like terms
5x - 2
What is the angle and the answer pls help this is a quiz grade
Answers
Answer:
27°
Step-by-step explanation:
The two lines are parallel, causing them to be equal
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The following two polynomials are added: (5x 3 −3x 2 +7x)+(4x 3 + ? +7x)=9x 3 −2x 2 +14x
Find the value of the question mark.
Answers
Answer:
x²
Step-by-step explanation:
-2x²- (-3x²) = x²
_______
What are the first five terms of the sequence defined by the given function?
f(n) = 2n − 8
A. 2, 8, 14, 20, 26
B. -6, -4, -2, 0, 2
C. 2, -4, -10, -16, -22
D. -6, -8, -10, -12, -14
Answers
Answer: B. -6, -4, -2, 0, 2
Step-by-step explanation: Use the attachment to help you with your answer.
Anyways, have an amazing day!
What is the first step in simplifying the expression below ?
3 + 4 (6 - 8)^2
O 3 Plus 4
O 3 Plus 16
O 6 Minus 8
O Multiply -2 by itself
O Multiply by 4
Answers
6 minus 8
Answer:
Step-by-step explanation:
The very first step is to take (6 - 8) = - 2 Do the brackets first.
Now square the result (-2)^2 = 4 Multiply by 4
4*4 = 16 These fours are different. The first is the brackets, The second is what is out side the brackets.
Last step: 16 + 3 The answer is 19.
19 is not what you asked for, but it's a good idea to see how to continue.
GIVING BRAINLIST! $ CHOSE ANY!
Answers
Answer:
36in for the 1st one
Step-by-step explanation:
Answer:
36 in- mild
Hope this helps!!
The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet. A model rocket is launched off the ground at an initial velocity of 80 feet per second. Part A: Write a function that can be used to describe the flight of the model rocket. Part B:What domain makes sense for this function in context?
Answers
Answer:
A) g(t) = - 16*t² + 80*t
B) domain is ( 0 ≤ t ≤ 5 )
Step-by-step explanation:
A) for the model rocket
h = 0 and v = 80 feet/sec
Then the equation g(t) = -16*t² + v*t + h
became
g(t) = - 16*t² + 80*t + 0 g(t) = - 16*t² + 80*t
B) The equation g(t) = - 16*t² + 80*t is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t) then the biggest value for t = 5 from
-16*t² + 80*t ≥ 0
-16*t ≥ -80 16*t ≤ 80
t ≤ 5
And the domain is ( 0 ≤ t ≤ 5 )
Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is
Answers
Answer:
3/25 for type B, 1/25 for type AB, and 4/25 for both
Step-by-step explanation:
O goes to 22
A goes to 20
B goes to 6
AB goes to 2
22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.
A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to burn down to a height of 1.2 inches?
Answers
Answer:
6 hours
Step-by-step explanation:
6 inches burns at rate .8 inches in 1 hour
to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle
4.8 inches / .8 inches in 1 hour = 6 hours
Manny walked around basketball court. The courtis 27m long and 17 m wide. What is perimeter of court
Answers
Answer:
The perimeter of the court is 88 m
Step-by-step explanation:
To find the perimeter: (27 x 2)+(17 x 2) length*2 + width*2
Hope this helps :)
The number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+16t, where t is the number of hours since the store opens in the morning. What is the average rate at which this number changes during the first t hours that the store is open
Answers
Answer:
30-2t^2+16t/t
Step-by-step explanation:
What is the equation of the vertical line through the point (4, 0)?
x = 0
y = 4
x = 4
y = 0
Answers
x = 4
y = 0
explanation:
(4, 0)
(x, y)
Answer:
x = 4
Step-by-step explanation:
I took the test and it was right :)
What’s the correct answer
A.1
B.2
C.3
D.4
E.5
Answers
What is the exact value of tan(300°)?
Answers
Answer:
The exact value of tan 300° is ⏩ - √3
Hope it will help :)❤
Which figures will have a volume that is greater than 100 cubic units? Select two options.
A. a rectangular prism with dimensions of 4 by 5 by 4
B. a rectangular prism with dimensions of 2 by 12 by 6
C. a rectangular prism with dimensions of 1.5 by 8 by 8
D. a triangular prism that is 6 long and has a triangular face with a base of 4 and a height of 12
E. a cube with side length 4.
Answers
Answer:
B and D
Step-by-step Explanation:
I don't know if this is correct yet but if it's right then great if not then I'm sorry!
Can I get brainliest please?
pls help me tysmmm~
!!
Answers
Answer:
It is 6,4 or 4,6
Step-by-step explanation:
solve for x and solve for y
Answers
Answer:
gvaaliyar steshan steshan
in class slope and y intercept 50 points
Answers
Answer:
Slope =-3, y intercept =4
Step-by-step explanation:
y2-y1/x2-x1 = slope
4-(-2)/0-2=6/-2 or -3
y intercept is where line crosses y axis so it is 4.
Answer:
Slope: -3, y-intercept: 4
Explanation:
=> In order to find slope when a graph is given, the formula would be: [tex]\frac{rise}{run}[/tex](pronounced as "rise over run")
Rise = change in y-value = -3
Run = change in x-value = 1
Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-3}{1}[/tex] also could be written as -3
=> Now, to find the y-intercept, find a value on the graph where the line touches the y-axis, that's where x = 0, which would be your y-intercept;
Here the line touches the y-axis at "y = 4", this is also where x = 0;
therefore y-intercept = 4
Hope this helps!
Kaden will toss two dice. What is the probability of one die landing on a number less
than 3, and the other landing on a number greater
than 5?
A.1/6
B.1/12
C.1/9
D.1/18
Answers
Answer: b
Step-by-step explanation:
HELP0ppppppppppppppp
Answers
Answer:
C)
Step-by-step explanation:
in order to understand which triangle would lie on the given line we should figure out the slope of the given line first
remember that,
[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
from the graph let's take two points where the line passes i.e (0,0) and (4,6)
substitute:
[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]
simplify substraction:
[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]
reduce fraction:
[tex] \displaystyle m = \frac{3}{ 2} [/tex]
now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle
[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]
reduce fraction:
[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]
since the tan ratio of the third triangle equal to the slope of the line
hence, our answer is c
Dawson is covering a large cylinder with brown paper. He'll need to find the volume of the cylinder in order to determine how much paper he needs.
True
False
Answers
It is to true!!!!!!!!!!!!!!!!!!!!!!!!
Dameon wants to move to a new apartment in his neighborhood. The data shows the monthly rate for the one bedroom apartments in his neighborhood. What is the monthly rent for his apartments?
Answers
Answer:
1,010
Step-by-step explanation:
Answer:
1010
Step-by-step explanation:
HELP ME ASAP I NEED HELP SO BAD
Answers
Answer:
x = -3
Step-by-step explanation:
5x + 4y = 1
y = 1 - x
• Substitute (1 - x) into y:
5x + 4(1 - x) = 1
• Distribute:
5x + 4 - 4x = 1
• Combine like terms:
x + 4 = 1
• Subtract the 4 to solve for x:
x = -3
I'll give brainiest just please help
Answers
Answer:
1.9
Step-by-step explanation:
just put it into he calculator, because with 3 above the square root.
Answer:
Approximately 1.9 (rounded to the nearest tenth)
Step-by-step explanation:
First, we are left off with the equation:
[tex]y^{3} = 7[/tex]
We know we want to solve for y. So, let's do the opposite of what is being done to y. In other words, let's find the cube root of [tex]y^{3} = 7[/tex].
[tex]\sqrt[3]{y^3} = \sqrt[3]{7}[/tex]
Then, the [tex]\sqrt[3]{y^3}[/tex] just simplifies to y. On the other side, we cannot find the cube root of 7 in our minds, so that is why it tell us to use a calculator. So...
y = 1.9
Therefore, the cube root of 7 is around 1.9. Hope this helps!
which equation represents a line that has a slope of
po y
and a y-intercept at (0, 6)?
Answers
Answer: 0 is y intercept and 6 is x intercept.
Step-by-step explanation:
<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?
Answers
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
i really need help ASAP!!
answer needs to be in simplest radical form.
find n.
Answers
Answer:
Step-by-step explanation:
You can use sen30° to solve it:
Since Sen=Opposite side / diagonal
Sen30° = OS/D
1 / 2 = x / [tex]2\sqrt{3}[/tex]
2x = [tex]2\sqrt{3}[/tex]
x = [tex]\sqrt{3}[/tex]
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