In ΔKLM, l = 660 cm, ∠L=107° and ∠M=18°. Find the length of k, to the nearest 10th of a centimeter.
Answers
Answer:
565.3 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
In triangle KLM:
∠K + ∠L + ∠M = 180° (sum of angles in a triangle)
∠K + 107 + 18 = 180
∠K + 125 = 180
∠K = 55°
We can find the length of k using sine rule:
[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]
Related Questions
A drawing of a surfboard in a catalog shows its length as 8 4 over 9 inches. Find the actual length of the surfboard if 1 half inch length on the drawing corresponds to 3 over 8 foot of actual length. Submit your answer as a fraction using the format, 1 2/3. Do not include units, ft, in your answer.
Answers
Answer: [tex]6\dfrac13\text{ inches.}[/tex]
Step-by-step explanation:
Given: Length in drawing = [tex]8\dfrac49\ \text{inches}[/tex]
[tex]=\dfrac{9\times8+4}{9}\text{ inches}\\\\=\dfrac{72+4}{9}\text{ inches}\\\\=\dfrac{76}{9}\text{ inches}[/tex]
Also, half inch on drawing = [tex]\dfrac38\ foot[/tex] actual length.
1 inch on drawing = [tex]2\times\dfrac38 =\dfrac34\ foot[/tex]
[tex]\dfrac{76}{9}\text{ inches}=\dfrac{76}{9}\times\dfrac{3}{4}\ foot\\\\=\dfrac{19}{3}\text{ inches}\\\\=6\dfrac13\text{ inches}[/tex]
The actual length of the surfboard = [tex]6\dfrac13\text{ inches.}[/tex]
Find the volume of a pyramid with a square base, where the area of the base is 19.8 in 2 and the height of the pyramid is 16.4 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
108.2in^3
Step-by-step explanation:
V=(1/3)Bh
V=(1/3) (19.8) (16.4)
V=108.2in^3
what is the answer for 3y+6=12
Answers
Answer:
y=2
Step-by-step explanation:
12 - 6 = 6
6 also = 3y
6 / 3 = 2
y = 2
CHECK:
(3*2=6) + 6 = 12
6+6 = 12
Correct
Answer:
3y= 12-6 = 3y= 6 divide both sides by 3, the answer is y= 2
Find the number from the expanded form 3* 10^4 + 7 x 10^2 + 5 x 10^0
a)30705
b)375
c)3075
d)3705
Answers
Answer:
A)30705
Step-by-step explanation:
3* 10^4 + 7 x 10^2 + 5 x 10^0
Evaluate the exponent
3⋅10^4+7⋅10^2+5⋅10^0
3⋅10000+7⋅10^2+5⋅10^0
Multiply the numbers
3⋅10000+7⋅10^2+5⋅10^0
30000+7⋅10^2+5⋅10^0
Evaluate the exponent
30000+7⋅10^2+5⋅10^0
30000+7⋅100+5⋅10^0
Multiply the numbers
30000+7⋅100+5⋅10^0
30000+700+5⋅10^0
Evaluate the exponent
30000+700+5⋅10^0
30000+700+5⋅1
Multiply the numbers
30000+700+5⋅1
30000+700+5
Add the numbers
30000+700+5
30705
✓-32
imaginary numbers
Answers
Answer:
√-32 imaginary numbers
[tex] \sqrt{ - 32} \\ = \sqrt{ - 1 \times 16 \times 2} \\ = \sqrt{ - 1} \times \sqrt{16} \times \sqrt{2} \\ =\boxed{ 4 \sqrt{2} i}[/tex]
4√2i is the right answer.Find the area and perimeter
Answers
Answer:
area = 62ft
Step-by-step explanation:
Mary crealed the equation y = 5x - 4 for a table and wondered what the output would be for x = -2. Solve for the outpum
A
y = -14
B
y = -1
y = 14
y = 6
Answers
Reason: just plug in the the x=-2 into the equation y=5x-4, then solve. The picture sets up the equation correctly.
What type of angle is show
Answers
A right angle is 90 degrees, an obtuse angle is larger than 90 degrees and an acute angle is less than 90 Degrees.
The angle shown is smaller than 90 degrees so it is c. Acute
Find the area of the shaded region
Answers
Answer:
area of a circle πr^2
r = 10/2 r = 5
π5^2 = 78.5
area of the square length X width
7 x 7 = 49
78.5 - 49 = 29.5
shaded region = 29.5 square cm
Raul is 75 ft from the world's tallest totem pole in Alert Bay, Canada. It is 173 ft tall. Raul's eyes are 5 ft from the ground, what is the angle of elevation from his line of sight to the top of the totem pole? Round the the nearest degree.
Answers
Answer:
65.9
Step-by-step explanation:
Monday Bellwork Which solution would make this equation have infinitely many solutions? 6(x – 3) + x = 7x +
-18, -9, 18, or 9
Answers
Answer:-18
Step-by-step explanation:
6(x−3)+x=7x−18
Step 1: Simplify both sides of the equation.
6(x−3)+x=7x−18
(6)(x)+(6)(−3)+x=7x+−18(Distribute)
6x+−18+x=7x+−18
(6x+x)+(−18)=7x−18(Combine Like Terms)
7x+−18=7x−18
7x−18=7x−18
Step 2: Subtract 7x from both sides.
7x−18−7x=7x−18−7x
−18=−18
Step 3: Add 18 to both sides.
−18+18=−18+18
0=0
SOMEONE HELP
How do I even solve this?
Answers
Answer:
oh its just the purple over the entire square so that would be 8/32 x 2
Step-by-step explanation:
Simplify (a+b)(a^2-ab+b^2)
Answers
Answer: a^3 - b^3
Step-by-step explanation:
First, solve if x = -3
Next, solve if y = 2
Answers
Answer:
first equation;
when x = -3, y = -4.75
when y = 2, x = 6
second equation:
when x = -3, y = 6.5
when y = 2, x = -6
Round the fraction to the nearest whole number. 3 1/2
Answers
Answer:
4
Step-by-step explanation:
3 1/2= 3.5
5 rounds up, so it'll be 4
Answer:
4 hope this helps
Jada is solving the equation shown below.
Negative one-half (x + 4) = 6
Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).
Answers
multiply both sides of the equation by -2
and
distribute the -1/2 over (x+4)
x - 25% (of x) = 40
solve for x.
Answers
Answer:
x-1/4
Step-by-step explanation: i hope this help
nestor fills a jar with marbles.each marble weighs 1/25 pound .the total weighs of all marbles is 3/5 pound how many marbles are in the jar
Answers
Answer:
Total number of jars will be 15.
Step-by-step explanation:
Given
The weight of each marble = 1/25 pound
The weight of all marbles = 3/5 pound
To determine
How many marbles are in the jar?
Let 'n' be the total number of jars
The total number of jars can be calculated by dividing the weight of all marbles by the weight of each marble.
Thus,
The total number of jars n = [weight of all marbles] / [weight of each marble]
= [3/5] / [1/25]
= [3 × 25] / [5 × 1]
= 75 / 5
= 15
Thus, total number of jars will be: n = 15
Answer:
15 marbles :) hope it helped a bit!
ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.
Answers
Answer:
d. 18
Step-by-step explanation:
Lengths AG and CF of the parallelogram are equal.
i.e AG = CF
where AG = 2x + 10
CF = 5x -2
→ 2x + 10 = 5x-2
(collecting like terms): 5x - 2x = 10 + 2
→ 3x = 12
x=12÷3 = 4
∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18
∴ CF = 18 (answer)
(-0.75X – 8) – (3.5X +5.4)
Answers
Answer:
− 4.25 X − 13.4
Step-by-step explanation:
An 18 foot ladder is leaning against a building. The base of the ladder is 6 feet from the base of the
building. What angle does the ladder make with the ground?
Answers
Answer:
right trianlge i think
Step-by-step explanation:
A flower pot’s base has six sides that are all the same length. Each side measures x−6 units. The base’s perimeter is 78 units.
What is the value of x?
Enter your answer in the box. PLEASE HELP AS SOON AS POSSIBLE
Answers
a) Write 600 as the product of prime factors.
Give your answer in index form.
Answers
Answer:
2^3*5^2*3
Step-by-step explanation:
600=2*2*2*5*5*3=2^3*5^2*3
helpp ill mark u as Brain list
Answers
Give one combination of two factors whose product is 0.72, if one of the factors is a whole number greater than 1.
Answers
Two factors could be, 0.144 and 5
group of friends wants to go to the amusement park. They have $366.50 to spend parking and admission. Parking is $19, and tickets cost $34.75 per person, cluding tax. How many people can go to the amusement park?
Answers
Subtract $19 from total
366.50 - 19 = 347.5
Step 2:
Divide this total by the ticket price
347.50 / 34.75 = 10
Step 3:
You have your answer
10 people can go to the amusement park
Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures?
9°C, -3°C, 22°C, -5°C, 11°C, 15°C
Answers
Answer:
22-(-5)= 27
Step-by-step explanation:
22 is the highest temp. -5 is the lowest.
The range of the given temperatures is 27.
What is the range of the data set?"It the difference between the highest and lowest value of the data set."
For given example,
a set of data about temperatures is,
9°C, -3°C, 22°C, -5°C, 11°C, 15°C
First, we arrange the data values in ascending order.
-5°C, -3°C, 9°C, 11°C, 15°C, 22°C
Here, the lowest temperature = -5°C
the highest temperature = 22°C
So, the range of the data set would be,
R = highest temperature value - lowest temperature value
R = 22 - (-5)
R = 22 + 5
R = 27
Therefore, the range of the given temperatures is 27.
Learn more about the range of the data set here:
https://brainly.com/question/20607770
#SPJ2
120-120= i need help please
Answers
Solve it pls 4 - 7k = 1 - 6k
Answers
4 - 7k + 6k = 1 - 6k +6k
4 - k = 1
4 - k + k = 1 + k
4 = 1 + k
4 - 1 = 1 + k - 1
3 = k
k = 3
answer only if correct:)