Answers
Answer:
First step, find the missing angle (you will need this later on)
We know that the sum of all angles in a triangle equals to 180°, so
180° - 65° - 40° = 75° *that's your angle (next to the point L)
Now, identify each side (as shown in my drawing attached to this message)
The law of sines tells us that
(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.
So,
pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)
*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.
*Notice that the sine of the angle relates to the length of the coloured sides
Calculate the following: sin 75, sin 40, sin 65.
Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.
Thus, sin 40 < sin 65< sin 75
Which corresponds to (from smallest to largest):
blue side, yellow side, pink side
*Now, write your answer in a mathematical format (using J,L,K points)
blue = JL (explanation: it connects the two points, LJ is also a valid answer)
yellow = LK
pink= JK
ANSWER: JL, LK, JK
Step-by-step explanation:
Use the Law of Sines *because you don't have a right angle triangle.
Related Questions
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 1012 inches by 1012 inches. Is he correct? Use the drop-down menus to explain your answer.
Stephan
Choose...
have enough wood to make the tray because he has
Choose...
square inches, which is
Choose...
than he needs to make the tray,
Choose...
square inches.
Answers
Answer:
i. No, Maurice statement is wrong
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width. Since the piece of wood has a shape of a rectangle,the area of the piece of wood = length × width = 18 × 12 = 216 square inchesAccording to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches. The base has the shape of a square, so that; the area of the base = length × width = = 1012 ×1012 = 1024144 squared inchesThis shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
(PLS HELP AND FAST!!!!) 1. A single, standerd number cube is tossed. What is the probality of getting a number GREATER then 3? A. 2/3 B. 1/3 C. 1/6 D. 1/2.
WILL GIVE 100 POINTS IF CORRECT!!! ):D
Answers
Answer:
D
Step-by-step explanation:
assuming a 6 sided die half of the die is above 3 so 1/2
- 16 + ( - 12 ) - ( - 40 )
Answers
Answer:
12
Step-by-step explanation:
Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go
Step-by-step explanation:
Solution ,
Firstly we need to understand that
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( - )
( - ) × ( + ) = ( - )
( + ) × ( - ) = ( - )
Question:
- 16 + ( - 12 ) - ( - 40 )
here ( + ) × ( - ) = ( - )
= - 16 - 12 - ( - 40 )
here ( - ) × ( - ) = ( + )
= - 28 + 40
here the ( + ) has greater variable so....
= + 12
hence 12 is the answer....
Help with functions!! Thank you!!
Answers
Answer:
(s - t)(x) = 4x^2 - x - 5
(s + t)(x) = 4x^2 + x + 5
(s * t)(-1) = 16
Step-by-step explanation:
(s - t)(x) is simply the same as s(x) - t(x)
(s + t)(x) is simply the same as s(x) + t(x)
(s * t)(x) is simply the same as s(x) * t(x)
(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5
(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5
(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16
what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 Round to the nearest place
Answers
Find the missing values. Leave answers in simplified radical form.
Answers
Answer:
See below ~
Step-by-step explanation:
Q3
r = 8 / sin 45°r = 8 / (1/√2)r = 8√2t = 8 / tan 45°t = 8 / 1t = 8
Q4
f = 9√3 / sin 60°f = 9√3 / (√3/2)f = 18o = 9√3 / tan 60°o = 9√3 / √3o = 9#3
tan45=8/t1=8/tt=8Simiilary
cos45=8/rr=8√2#4
sin60=9√3/f√3/2=9√3/f1/2=9/ff=18And
cos60=0/181/2=0/18o=18/2=9You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.
H
o
:
μ
=
57.7
H
a
:
μ
≠
57.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Answers
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = 4.17.The p-value is of 0.0004.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 57.7, that is:
[tex]H_0: \mu = 57.7[/tex]
At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:
[tex]H_a: \mu \neq 57.7[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]
t = 4.17.
What is the p-value?We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.
More can be learned about the t-distribution at https://brainly.com/question/16162795
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A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.
What is the height of the prism?
2.9 m
6.525 m
11.23 m
21.83 m
Answers
Answer. 2.9
PLEASE ANSWER
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Answers
Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.
What are similar triangles?Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.
Find out more on similar triangles at: https://brainly.com/question/2644832
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* Given the following expressions:
I.
[tex] - \frac{5 }{8} + \frac{3}{5} [/tex]
||.
[tex] \frac{1}{2} + \sqrt{2} [/tex]
|||.
[tex]( \sqrt{5} ) \times ( \sqrt{5} )[/tex]
IV.
[tex]3 \times ( \sqrt{49} )[/tex]
Answers
Answer:
sorrry i forget you man ..... or bro .....
Find the slope, if it exists, of the line containing the pair of points (1, -2) and (1, - 4).
Answers
Answer:
no answer
Step-by-step explanation:
1, -2 ; 1, -4 : -4-2/1-1 = no solution
Help pretty please?.?.?? Prize is 20 points :)
Answers
Answer:
7
Step-by-step explanation:
Because 2x-4 equals -8
“Explain why you can have different values when evaluating an algebraic expression”
Answers
Porque Las expresiones algebraicas son combinaciones de variables , números, y por lo menos una operación aritmética.Para evaluar una expresión algebraica, reemplace la variable o variables con valores conocidos y luego utilice el orden de las operaciones .Para su conveniencia, puede usar paréntesis cuando introduzca valores negativos en las variables.
ENGLISH:
Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.
To evaluate an algebraic expression, replace the variable(s) with known values and then use the order of operations.
For your convenience, you can use parentheses when entering negative values in variables.
Baseballs are sold 8 to a box. The
league is planning on having 18
games. If they need 3 balls for
each game, how many boxes will
they have to buy?
Answers
18x3= 24
24x8= this will give you your answer
x^2 +8 x+ y^2-12 y =14 what is the center and radius
Answers
Answer:
Step-by-step explanation:
he density of gold is 19.3 g/cm3. What is the volume of a 13 g gold nugget? (Density: D = )
.25 cm3
.67 cm3
1.48 cm3
2.50 cm3
Answers
m =13
D= m/v
V=m/D
=13/19.3
=0.67cm3
Answer is No 2
need help with my aleks
Answers
Answer:
x = 66
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
x + 35 + 79 = 180 , that is
x + 114 = 180 ( subtract 114 from both sides )
x = 66
Graph the image of rectangle CDEF after a translation 2 units right and 10 units down.
Answers
Answer:
Graph these points:
(-6, -6)
(0, -6)
(0, -1)
(-6, -1)
which equation represents a line that passed through (2,-1:2) and has a sloe of 3
Answers
The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18
How to determine the equation of the line?The points are given as:
(x1, y1) = (2, -12)
The slope is given as:
m = 3
The equation of the line is calculated using:
y = m(x - x1) + y1
So, we have:
y = 3(x - 2) - 12
Open the bracket
y = 3x - 6 - 12
Evaluate
y = 3x - 18
Hence, the equation of the line is y = 3x - 18
Read more about linear equations at:
https://brainly.com/question/1884491
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1.4
Arrange the number of voters in 2016 - election
per province in ascending order.
5
Calculate the percentage of votes in the 2016-election that went
to "Other" in the National Results, if the total number of voters was
26 660 276.
Answers
Answer:
that would be 57
Step-by-step explanation:
because im smart
Find the area of the right triangle.
Answers
Answer:
Step-by-step explanation:
Comment
The area of a right triangle is the product of the two smaller legs divided by 2.
Givens
Horizontal Leg = 4 units.
Vertical Leg = 8 units
Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...
Solution
Area = 4 * 8 / 2
Area = 32 / 2
Area = 16
Answer
Area = 16
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answers
Answer:
31 degrees
Step-by-step explanation:
90-59
=31
~rere
Answer:
<b = 31 °
Step-by-step explanation:
When the sum of two angles is equal to 90 degrees, they are called complementary angles
So . .
Because the sum is 90 subtract!
90 - 59 = 31<b = 31 °
Urgent help,
Translate the following words into equations step 2 solve the equation.
8 more than a number is equal to 15
The product of 7 and a number is 35
Answers
Answer:
x+8=15
-8. -8
x=7
7x=35
7. 7
x=5
Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.
Nurses need to calculate the drip rate, D, in drops per minute for infusions.
They use the formula D =dv/60n where
d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.
A nurse wants to double the time an infusion runs for.
Describe precisely how D changes if n is doubled but d and v do not change.
Answers
Answer:
D is halved
Step-by-step explanation:
Given :
D = -dv/60nIf n is doubled :
D' = -dv/60(2n)D' = -dv/120nD' = D/2When n is doubled, D (the drop factor) is half of its original value.
10)
Ross has (8x-5) tickets for Chuck E Cheese. He is going to play today and wants to buy
a prize that is (15x+1) tickets. How many tickets must be win to have enough tickets to buy the
prize?
Answers
Answer:
(7x + 6) tickets
Step-by-step explanation:
Tickets Ross has : 8x - 5
Tickets Ross needs : 15x + 1
To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.
15x + 1 - (8x - 5)15x + 1 - 8x + 5(7x + 6) ticketsMust ticket win
Prize-Previous amount15x+1-(8x-5)15x+1-8x+515x-8x+1+57x+6 ticketsComplete the long division problem on your own sheet of paper. Then, fill in the digits.
Answers
Answer:
52
Step-by-step explanation:
5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0
Graph x = 4 help please!!! :(
Answers
Answer:
x = 4 would be a vertical line along with the value x=4
Step-by-step explanation:
The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.
Simplify 22-2(12/4+2*3)/3+7
Answers
Answer: 23
Step-by-step explanation:
A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .
The system has ___________ solution(s). y = 2x + 6 4y = 8x + 24
Answers
Answer:
Step-by-step explanation:
4(2x + 6) = 8x + 24
8x + 24 = 8x + 24
infinite many solutions
Write the equation of the conic section shown below.
Answers
Answer:
f(x) = -5/81( x^2 -2x - 80)
Step-by-step explanation:
The zeroes are -8 and 10 so we can write :
f(x) = -a(x - 10)(x + 8)
( negative is because the parabola opens downwards).
The maximum value is at the vertex = 5.
f(x) = -a(x^2 - 2x - 80)
= a[(x - 1)^2 - 1 - 80)
= a(x - 1)^2 - 81a
As the vertex is at f(x) = 5
81a = 5 so a = 5/81
So the equation is
f(x) = -5/81( x^2 -2x - 80)