In ΔJKL, j = 10 in., k = 7 in., and l = 6.58 in. Find m∠J.
A. 38º
B. 95º
C. 44º
D. 25º
Answers
Answer:
B. 95°
Step-by-step explanation:
Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.
__
j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle
J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J
J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)
J ≈ 94.797° ≈ 95°
The measure of angle J is about 95°.
_____
Additional comment
Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)
Related Questions
Which expression is equivalent to 52.2
O
(2.50) + 2
(2 • 26) + 2
O
(z.50) + (z. 2)
O (z • 2) + 26
Answers
Answer:
Anwer is (z.50)+(z.2) since expanding it is z.52
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. 4m,13m,4m
Answers
Answer:
B
Step-by-step explanation:
Select the graph that matches the equation y = 2
4
7
x − 3.
Answers
Answer:
B
Step-by-step explanation:
Since the y-intercept is -3 look for the graph that has the point (0,-3)
From the diagram below, choose the correct letter for each of the following parts of
a circle:
a) a major arc
b) a minor sector
c) a major segment
F
A
D
B
E
E
Answers
Answer:
A) F
B) B
C) C
Step-by-step explanation:
F is a major arcB is a minor sector C is a major segmentscircle AB represents sectors
circle CD represent segments
circle EF represent arcs
Olivia is buying a car for £3650. She pays a deposit of £500. What percentage of the price is the deposit?
Answers
Answer:
500 ÷ 3650 = 0.13698630136986 = 13.698630136986%
Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation,and it is not likely causal. it is a strong positive correlation, and it is likely causal.
Answers
Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.
What do correlation coefficients tell us?Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.
If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.
Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.
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Jacob wants to find the volume of a roll of paper towels.
Which composition produces a solid with the same shape and dimensions as the roll of paper towels?
A.
a difference between two cylinders with the same height and different radii
B.
a difference between a hemisphere and a cylinder with the same radius
C.
a difference between two cylinders with the same radius and different heights
D.
a difference between two hemispheres with the same center
Answers
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A, the difference between two cylinders with the same height and different radii.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Since the shape of a paper towel is like a cylinder, therefore, the composition that produces a solid with the same shape and dimensions as the roll of the paper towel is a difference between two cylinders with the same height and different radii.
Hence, the correct option is A.
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Please simplify this!
Answers
Answer:
May be the answer is 5 . I don't think it's the answer .
Write a recursive formula for the explicit formula.
A(n)=5+(n− 1)(-4)
Answers
Answer:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
Step-by-step explanation:
Recursive formula allows us to find the value of a specific term based on the previous term.
Explicit formula allows us to find the value of a specific term based on its position.
Given explicit formula: [tex]a(n)=5+(n-1)(-4)[/tex]
[tex]\implies a(1)=5+(1-1)(-4)=5[/tex]
[tex]\implies a(2)=5+(2-1)(-4)=1[/tex]
[tex]\implies a(3)=5+(3-1)(-4)=-3[/tex]
[tex]\implies a(4)=5+(4-1)(-4)=-7[/tex]
From inspection of the sequence, we can see that to get the next term, we need to subtract 4 from the previous term.
[tex]5 \underset{-4}{\longrightarrow} 1 \underset{-4}{\longrightarrow} -3 \underset{-4}{\longrightarrow} -7[/tex]
Therefore, the recursive formula is:
[tex]a_n=a_{(n-1)}-4[/tex]
For a recursive formula, we also need to give the value for [tex]a_1[/tex] .
Therefore, the final recursive formula for the explicit formula is:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1.5 litres of water into the container. Will the water come over the top of the container? Explain your answer and show all your working.
Answers
Answer:
Cylinder[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 6 cmh = 18 cm[tex]\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}[/tex]
Cube[tex]\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}[/tex]
Given:
x = 8 cm[tex]\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}[/tex]
Volume available to be filled with waterVolume of cylinder - volume of cube
= 684π - 512
= 1532.75204 cm³
1 litre = 1000 cm³
⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³
As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will not come over the top of the container.
A circle with circumference has an arc with a 15 degree angle. What is the length of the arc?
Answers
Answer:
(15/360)*whatever the circumferance is
Step-by-step explanation:
Length of arc = 2π * radius * angle/360
And 2π * radius= circumference
Therefor we can replace that in the eqaution so we can do
circumference *angle/360=lengnth of arc
Sam is thinking of retiring from his job after many years of faithful service. during the last 35 years at his job, his annual salary averages to $37,991. every month, his bills total $1,755. how much money would sam need each month to supplement his monthly social security benefit (assuming his annual benefit is 42% of his salary average) and still be able to pay his bills? a. at least $81.23 b. at least $425.32 c. at least $1,410.92 d. at least $3,019.67
Answers
Using proportions, the amount of money that Sam would need each month to pay his bills is of:
b. at least $425.32.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, his annual social security benefit is of 42% of $37,991, hence:
A = 0.42 x 37991 = $15,956.22.
Hence the monthly amount is given by:
M = 15956.22/12 = $1,329.68
He needs $1,755 monthly, hence the amount he needs is of at least:
An = 1755 - 1329.68 = $425.32.
Which means that option b is correct.
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Graph a line to represent the linear equation y=32x−6.
Answers
Answer:
The slope is 32 while the y-intercept is (0,-6)
Step-by-step explanation:
.......
6x + 12 = 3+3x
I'll give 25 points...
Answers
Step-by-step explanation:
Question:-6x + 12 = 3+3x
Answer:- 6x + 12 - 3 - 3x=0
6x-3x+12-3=0
3x+9=0
3x=-9
x=-9/3
x=-3
Hope this helps you
Have a nice day
Answer:
x = -3
Step-by-step explanation:
6x + 12 = 3+3x
6x + (12-12) = (3-12)+3x
(6x-3x) = (3x-3x)-9
3x/3 = -9/3
X=-3
Helppppppp meeeeeeeeepleaseeeeee
Answers
Answer:
5600x10=56000
56000=B ten thousands
Answer:
Ten Thousands
Step-by-step explanation:
5,600x10=56000
So the 5 will be in the ten thousand place if u get a chart/
ignore the numbers on the chart
4-2×=×+8 what is the result
Answers
Answer:
x = -4/3
Step-by-step explanation:
4 - 2x = x + 8
4 - 3x = 8
-3x = 4
x = -4/3
!!!!!!points!!!!!!!!
Answers
A. Substitute x = 3 into the equation of the line of best fit.
B. Estimate of the inventory on day 3 is: 3 (in hundreds).
What is the Equation of a Line of Best Fit?The equation of the line of best fit models the relationship between two variables, which can be used for making estimates or predictions.
The equation of the line of best fit given is: f(x) = -1/3x + 4, where:
x = days after delivery f(x) = inventoryA. To estimate the inventory after day 3, substitute x = 3 into the equation of the line of best fit.
B. Plug in x = 3 into f(x) = -1/3x + 4
f(3) = -1/3(3) + 4
f(3) = 3
Estimate of the inventory on day 3 is: 3 (in hundreds).
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Solve for x. Write both solutions, separated by
a comma.
6x² + 5x6 = 0
Answers
Answer:
x = 0.7401 ± 0.7401i, x = 0
Step-by-step explanation:
(6 • (x^2)) + 5x^6 = 0
(2•3x^2) + 5x^6 = 0
5x^6 + 6x^2 = x^2 • (5x^4 + 6)
x^2 • (5x^4 + 6) = 0
x^4 = -6/5 = -1.200
x = ∜ -6/5
⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.
→ x = 0
→ x = 0.7401 ± 0.7401i
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answers
Answer:
The correct answer is the last one, [tex]\frac{\pi }{6}[/tex].
Step-by-step explanation:
Assuming you need this urgently so I won't explain.
Hope this helps:) Goodluck!
Answer:
5π/6, 7π/6
Step-by-step explanation:
Solving :
cos⁻¹ (-[tex]\frac{\sqrt{3} }{2}[/tex])
cos⁻¹ (-cos30°)
cos 30° is negative in Quadrant II and Quadrant III
Value in QII :
cos (180° - 30°)cos (150°)5π/6Value in QIII :
cos (180° + 30°)cos (210°)7π/6The answer is 5π/6, 7π/6
You just found a coupon for 35% off! what is 3 the new price of the shoe before taxes?
Answers
The new price of the shoe before taxes will be $ 35.75.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
It cost Nike $55 to make the "Kyrie 5".
You just found a coupon for 35% off.
Then the new price of the shoe before taxes will be
⇒ (1 - 0.35) x 55
⇒ 0.65 x 55
⇒ $ 35.75
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PLEASE HELP SUPER EASY bottom question please!!
Answers
Answers:
The histogram is shown below.7/10 of the class passed the assignment.============================================================
Explanation:
Part 1
Sort the data values to get
51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100
Now let's say we had these intervals
51-6061-7071-8081-9091-100Notice each interval is 9 units wide.
The 5 scores 51,54,58,60,60 are in the interval 51-60, which means the first interval has a bar that's 5 units tall.
The scores 62,70 are in the interval 61-70, which means the second bar is 2 units high.
Keep this process going to create the histogram shown below.
It looks like you have the right idea, but your class interval widths aren't the same each time.
Because the class interval widths can change, this means other histograms are possible. Just be sure to stick to one interval width.
-----------------------------------
Part 2
Set A = set of scores that are 70 or larger, i.e. those who passed
Set A = {70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}
Set B = set of all scores in the class
Set B = {51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}
There are 14 items in set A and 20 in set B
This means 14/20 = 7/10 of the students passed.
On the same coordinate plane, mark all points (x, y) that satisfy each rule.
y = -3 -X
Show Graph!!!
100 Points!!!!!
Answers
Answer:
y=3x-2
For plotting graph we have to put some x values in above equation then we get y Ans
when x=0,y=-2
when x=1,y=1
when x=2,y=4
when x=-1, y=-5
when x=-2, y=-8
Step-by-step explanation:
Answer:
y=3x-2
Step-by-step explanation:
Evaluate v(x)=12−2x−5 when x=−2,0, and 5.
Answers
Answer:
Step-by-step explanation:
v(x)=12-2x-5
v(-2)=12-2(-2)-5
=11
v(0)=12-2(0)-5
=7
v(5)=12-2(5)-5
=-3
The daily cost of manufacturing x comic books at a small custom printing shop is C(x)=2x+325, and the number of comic books assembled in y hours is x(y)=35y. The composition function, C(x(y)), identifies the cost of assembled comic books in a y-hour day. Which mathematical expression represents C(x(y))?
A- 70y+11,375
B- 70y+325
C - 70x+325
D - 70x+11,375
Answers
The mathematical expression represents C(x(y)) will be C(x(y)) = 70y + 325. Then the correct option is B.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The daily cost of manufacturing x comic books at a small custom printing shop is C(x) = 2x + 325, and the number of comic books assembled in y hours is x(y) = 35y.
The composition function, C(x(y)), identifies the cost of assembling comic books in a y-hour day.
Then the mathematical expression represents C(x(y)) will be
C(x(y)) = 2(35y) + 325
C(x(y)) = 70y + 325
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ECA is a semi equilateral triangle at C,
where EÂC= 30°
B is point on [AC] such that BC = 2cm
and BE = 3cm.
Calculate AE.
Answers
Answer: its 50
Step-by-step explanation:
express 5x - 2y - 12 = 0 in y=mx + b form and state the slope and y-intercept
Answers
Answer:
Step-by-step explanation:
5x-2y-12=0
5x-2y+12-12=0+12
5x-2y=12
5x-5x-2y=12-5x
-2y=12-5x
(-2y)/-2=(12-5x)/-2
y=5/2x-6
slope= 5/2x up 5 over 2
y-intercept is -6
What will cost to make 1000 copies if the cost of one copy is $0.041 ?
Answers
Answer:
$41
Step-by-step explanation:
1 copy costs $0.041
If I need 1000 copies, I need to multiply
$0.041 × 1000 = $41
1000 copies will cost $41
Answer:
$41
Step-by-step explanation:
The cost of 1000 copies is 1000 times the cost of 1 copy.
1000 × $0.041 = $41.00
The cost to make 1000 copies is $41.
How much paint is needed for the entire outside of this prism ???
SEE PICTURE ATTACHED!!!
Answers
Answer:
132
Step-by-step explanation:
surface area of a triangular prism
132 ft is needed for the entire outside
its a 3 4 5 right triangle
10 is the height
What is the answer please?
Answers
Step-by-step explanation:
answer 3 is correct.
the result is clearly shifted (translated) and then enlarged (dilation).
the dimensions of the side lengths all follow the same scale factor (2).
Help!! Which is the best reason why step 1 is a good first step in the solution shown?
Answers
Answer:
Multiplying by 3 isolates x on one side of the equation.
Step-by-step explanation:
When solving an algebraic equation, you want to isolate the variable on
one side of the equation. By isolating the variable, you can see what the
variable is equal to.
Hope it helps, have a fantastic day.