Answers
Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
[tex]\sin (60^\circ)=\dfrac{h}{12}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}[/tex]
Multiply both sides by 12.
[tex]\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12[/tex]
[tex]6\sqrt{3}=h[/tex]
Therefore, the height of the triangle is [tex]6\sqrt{3}[/tex] cm.
Related Questions
1. In triangle ABC, the measure of ∠ABC is 42°, and the measure of ∠BCA is 113º.
What is the measure of ∠CAB?
How do you know that is the answer?
Answers
Answer:
if I am correct it would be 25 degrees. hope this helps!
Step-by-step explanation:
What is the solution to the inequality-6(p-8)<-12
Answers
Answer:
p < 10
Step-by-step explanation:
-6 (p - 8) < -12
-6p + 48 < -12
- 48 -48
-6p < -60
/-6 /-6
p < 10
YO SOMEBODY HELP PLS IM STUCK
Answers
Answer:
x > 1
Step-by-step explanation:
subtract 6 from both sides
Divide both sides by 2
Write 4/5 as a decimal
Answers
Answer:
4.5 : i think thats the answer i don't know
4/5 as a decimal is 0.8
Hope this helps! Have a great day :)
Type the correct answer in each box. Use numerals instead of words. Bethany collected 200 survey responses regarding recycling behaviors in her city. Of those responses, 174 people responded that they participate in the city’s recycling program. Use this information to complete the statement. Round all answers to the nearest hundredth. The approximate sample proportion is , which means that % of the people surveyed do not participate in the city’s recycling program.
Answers
Answer:
13% did not participate in citys recycling program not sure about the first part
Step-by-step explanation:
Answer:
Step-by-step explanation:
look at the bottom of the pictures to see what number it is
Answers
Step-by-step explanation:
hence the value of y=-9/4and k=-16.
The line m has a slope of 4. What is the slope of a line perpendicular to line m?
Answers
Answer:
-1/4
Step-by-step explanation:
Answer:
In order to make a slope perpendicular, you have to change its sign depending on whether it is negative or positive. And you have to change it upside down (its reciprocal)
Therefore,
-1/4
The measures of the angles of a triangle are shown in the figure below. Solve for x. 620 39°
Answers
Answer:
6.29
hope this helped
Step-by-step explanation:
:)
Ben takes a 45 minute test. After answering 10 questions, the timer indicates that one-fifth of the total time is up. How much time did Ben take to answer the 10 questions *
Answers
it took Ben 9 minutes to answer 10 questions
Can someone help and give me a step by step explanation please?!
Answers
9514 1404 393
Answer:
∠QSR = 78°∠SQR = 51°Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
__
Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
For every 2 apples in kail's orchard,there are 4 pears. In sam's orchard , there are 10 pears for every 5 apple. If the number of pears in proportional to the number of apples, What is constant proportionality
Answers
Answer:
2/5
Step-by-step explanation:
cause u divied
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
1.324
Step-by-step explanation:
Just divide 1324 by 1000 to get your conversion rate which is 1.324
If you check, to convert $1000 into Japanese Yen, by multiplying 1.324 with $1000, you'll get 1324 Yens
9. A 16-ft ladder is leaning against the side of a house. The ladder touches the ground 9 ft away from the house. What angle does the ladder make with the ground?
Round to the nearest WHOLE number.
Note: this is a trigonometry question
Answers
Answer:
Check pdf
Step-by-step explanation:
55.77°
EXPLANATION:In ◣ ABC, (consider the diagram)
cosΦ = b/h = 9/16
cosΦ = 9/16
Φ = 9/16 × cos-¹
Φ = 55.77
Hence, the angle between the ladder and ground is approximately 56°.
Find the area of a circle with radius, r = 7.49m. Give your answer rounded to 2 DP.
Answers
Answer:
Area ≈ 176.24m²
Hope it helps
Please mark me as the brainliest
Thank you
Need this done in 5 minutes
Answers
Step-by-step explanation:
40, 58, 58, 72, 74, 74, 76, 81, 83, 84, 92
1 2 3 4 5 6 5 4 3 2 1
1) A. 74
2) B. 40
3) A. 92
4) A. 58
Brainlist pls!
Find cosθ, tanθ, and cscθ, where θ is the angle shown in the figure.
Give exact values, not decimal approximations.
Answers
Answer:
Cos(θ) = 7/√58 ; Tan(θ) = 3/7 ; Csc(θ) = √58/3
Step-by-step explanation:
First, let's solve for the hypotenuse by using the Pythagorean Theorem.
a² + b² = c²
⇒ 7² + 3² = c²
⇒ 49 + 9 = c²
⇒ 58 = c²
⇒ √58 = c
Now that we know the hypotenuse is √58, we can solve for the trig ratios.
Cos(θ) = adjacent/hypotenuse = 7/√58
Tan(θ) = opposite/adjacent = 3/7
Csc(θ) = hypotenuse/opposite = √58/3
1 4/5 divided by 1 1/5
fraction has to be in its simplest form
Answers
Answer:
14/11
Step-by-step explanation:
cause when u divide you have to switch the second fraction; it's called the reciprocal.
do crossed division and you'll get 14/11.
Answer:
1 1/2
Step-by-step explanation:
1 4/5 ÷ 1 1/5
convert to full fractions:
9/5 ÷ 6/5
9/5 x 5/6 = 45/30 = 1 1/2
A(b) is a function.
. A(b)
A. True
B. False
Answers
Answer:
B
Step-by-step explanation:
NOTE:
it might be wrong since im in geometry, not algebra, i used to know this
PLEASE HELP ME!!! ILL MARK BRAINLIESY
Answers
Answer:
So, the answer is 7 y
Step-by-step explanation:
Both arrows are pointing toward the 7 and it is in y! I have been in 12 grade already so dont worry :)
Use synthetic division to solve
Answers
—————
r+3
41r+21
————
r+3
Hope this helps
The points in the shaded region satisfy three inequalities. y≥1 is one of them. Which of these are the other two inequalities.
30 POINTS IF ANSWER IS RIGHT
Answers
Answer:
A and E
Step-by-step explanation:
Answer:
A and E
Step-by-step explanation:
this. RNNNN no month later answers
Answers
Answer: 5) Decrease 6) -44.4%
Step-by-step explanation: Percent change formula is as follows: final - initial / initial
(10-18)/18 = -8/18 = 0.44444 to turn into a percent multiply by 100 to get 44.4 percent change when rounded
can anyone plz help me with my trigonometry homework
Answers
Answer:
I really dont know
Step-by-step explanation:
the explination is i
The points (-3, -3) and (5, r) lie on a line with slope 3/2
Find the missing coordinate r.
Answers
Answer:
The missing coordinate [tex]r[/tex] is 9.
Step-by-step explanation:
Given the points [tex]P(x,y) = (-3,-3)[/tex] and [tex]Q(x,y) = (5,r)[/tex], the slope of a line passing the two points ([tex]m_{PQ}[/tex]) is determined by equation of secant line:
[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
[tex]m_{PQ} = \frac{r-(-3)}{5-(-3)}[/tex]
If we know that [tex]m_{PQ} = \frac{3}{2}[/tex], then the value of [tex]r[/tex] is:
[tex]\frac{3}{2} = \frac{r+3}{8}[/tex]
[tex]12 = r + 3[/tex]
[tex]r = 9[/tex]
The missing coordinate [tex]r[/tex] is 9.
Need help with the answer please and thank you
Answers
HELP ME PLS NOW I NEED YOU PPLS BRAINS
Answers
The second answer
Answer:
C and D
Step-by-step explanation:
I went to a website (https://mathbitsnotebook.com/JuniorMath/Equations/IQBasicInequalities.htm) and double-checked what the correct answers were. I apologize for the hassle I may have caused you.
1. Find the value of the variable x.
A) 7 √2/2
B) 7 √3/2
C) 14 √3
D) 14/3
Answers
Answer:
[tex] \frac{ \sqrt{7} }{2} [/tex]
Step-by-step explanation:
The triangle is an isosceles triangle. Because the triangle is an isosceles triangle, the height and base of the triangle are equal to eachother.
a² + b² = c²
right now we have c² which is 7
a² + b² = 7
[tex] \frac{ \sqrt{7} }{2} [/tex]
because a² and b² are = to eachother
now im lost dony listen to me lol.
Please help me i need to pass math class
Simplify each expression.
1. (-6p - 8) - (2p - 6)
2. (-8r - 2) + (4r - 3)
3. (-z - 8) - (6z - 5)
4. (-s - 5) + (-2s + 2)
5. (-7s + 4) - (-8s + 4)
6. (-4f + 9) - (8f + 9)
7. (-8f) + (-f + 8)
8. (4p - 4) + (-7p - 7)
9. (7v - 9) - (6v + 9)
10. (-3g) + (5g - 5)
Answers
Question
2
1 pts
José invested $3000 in a 5 yr GIC that paid 3.95%/yr, compounded annually.
Answers
Answer:
this doesn't make any sense
Step-by-step explanation:
couldn’t find an answer any where.
Answers
Answer:
C maybe I not sure
Step-by-step explanation:
Answer:
I think its B but I'm not sure sorry if it's not correct you might have to wait and see if someone else answers