In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.
Answers
Answer:
∠J = 60°
Step-by-step explanation:
The Law of Cosines tells you ...
j² = k² +l² -2kl·cos(J)
Solving for J gives ...
J = arccos((k² +l² -j²)/(2kl))
J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)
J = 60°
_____
Additional comment
It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.
Answer:
60
Step-by-step explanation:
Related Questions
If 8.4 million baby boomers out of a total 76 million baby
boomers have already retired, what percentage of this
group will retire in the next 20 years? Round to the
nearest whole percent.
Answers
Answer: Undefined: Needs more data
Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?
1/3x^2 = -3
The solution to the equation is ___?
A) x = 3
B) x = -3
C) x = ±3
D) no solution
Answers
[tex] \frac{1}{3} {x}^{2} = - 3 \\ = > {x}^{2} = - 3 \times 3 \\ = > {x}^{2} = - 9 \\ = > {x} = \sqrt{ - 9} \\ = > x = ±3[/tex]
Answer:
C) x = ±3
Hope you could get an idea from here.
Doubt clarification - use comment section.
The quotient of triple a number less four and five equals two. What is the number?
Answers
Answer:
14/3
Step-by-step explanation:
The quotient of triple a number less four and five equals two. What is the number?
"triple a number" means 3x, if we say x is the "number"
"triple a number less four" means (3x-4)
"quotient of [triple a number less four] and five equals two." means
(3x-4)/5 = 2
3x-4 = 10
3x = 14
x = 14/3
===
Does ((14/3)3 - 4)/5 = 2 ???
(14 - 4)/5
10/5 = 2 YES
What is the number?
Fill with possible values to make the statement true in 2 diffrent ways:
35 is _% of _
Answers
Answer:
35 is 35% of 100 and 35 is 17.5% out of 200
Step-by-step explanation:
Help Me on this math equation
Answers
Answer:
uhhhh what grade level is dis?
Step-by-step explanation:
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 412 cups.
and plz get equation as well
Answers
solve by elimination
Answers
Answer:
x
Step-by-step explanation:
equals 4 you can do rest
Which table of values would produce the graph shown above?
Answers
1). 4x - (2x - 15)
2). -8 + 9x (-4 + 12x)
3). 15 - 14 ( 1 + 4x )
Answers
Answer:
1). 4x - (2x - 15)=> 4x - 2x + 15
=> 2x + 15
2). -8 + 9x (-4 + 12x)=> -8 - 36x + 108x²
3). 15 - 14 (1 + 4x)=> 15 - 14 - 56x
=> 1 - 56x
Step-by-step explanation:
Hoped this helped.
Answer:
[tex]\sf 1)\: 4x-\left(2x-15\right)[/tex]
Apply Distributive property:
[tex]\sf 4x-2x+15[/tex]
Combine like terms:
[tex]\boxed{\sf 2x+15}[/tex]
_____________
[tex]\sf 2)\:-8 + 9x (-4 + 12x)[/tex]
Apply Distributive property:
[tex]\boxed{\sf -8-36x+108x^2d}[/tex]
_______________
[tex]\sf 3)\: 15 - 14 ( 1 + 4x )[/tex]
Apply Distributive property:
[tex]\sf 15-14-56x[/tex]
Subtract numbers:
[tex]\boxed{\sf 1-56x}[/tex]
_______________________________________
PLEASE HELP ASAP!!!!
Answers
Answer:
I think its D? I'm not sure sorry if I get it wrong
use the slope formula to show work
Answers
Answer:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]
1
What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4
Answers
y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find equation of the line that passes through the point (-8,3) and has a slope of -1/4
m=-1/4
Let us find y intercept
3=-1/4(-8)+b
3=2+b
b=1
Hence, y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ2
Suppose the relationship between x and y is proportional. When x is 7 , y is . 147 Identify the constant of proportionality of y to x.
Answers
Answer:
its 21
Step-by-step explanation:
An ice cream shop sells ice cream cones, c, and
milkshakes, m. Each ice cream cone costs $1.50
and each milkshake costs $2.00. Donna has $19.00
to spend on ice cream cones and milkshakes. If she
must buy 5 ice cream cones, which inequality could
be used to determine the maximum number of
milkshakes she can buy?
Answers
Answer:
$7.50+m > $19
The inequality to be used for determining the maximum number of milkshakes she can buy will be in the form of:
[tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]
The inequality in the position or the relationship between two variables in order to make the total either greater than, less than, or greater than equal to, or less than equal to the total amount.
The inequality can be between numbers or algebraic expressions.
In the given case,
Per unit cost of ice cream cone $1.50 Per unit cost of milkshakes $2.00 The total amount for spending is $19.00 Number of ice cream cones bought 5To determine the inequality for the number of milkshakes the inequality will be formed as follows:
The total cost of ice cream cones will be added with the total cost of milkshakes (where m is the number of milkshakes) and the sign used will be greater than or equal to the given amount to be spent.
Therefore, the inequality will be [tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]
To know more about inequality, refer to the link:
https://brainly.com/question/11897796
Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month
Answers
Answer:
C
Step-by-step explanation:
If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.
3. * + 6 = 10 (1 point)
5
044
30
O20
0-20
Answers
Step-by-step explanation:
I think its b.30 but I'm not sure
A grocery store sells 25 crates of peaches for $125. How much does 1 crate cost?
Answers
Answer: One crate of peaches is $5
Step-by-step explanation:
All you do for this question is divide 125 by 25 gives us 5
Answer:
5
Step-by-step explanation:
Just decide 125 by 25 and get the answer :)
PLEASE HELP. I'LL GIVE BRAINLIEST!!!
Mike purchased a car worth $18,000 in the year 2008. It loses its value by 6% per year. What is the value of the car in 2020? Round your answer to the nearest whole dollar, and do not enter any decimals or commas.
Answers
Answer:
8762
Step-by-step explanation:
Exponential decay equation
Initial = 18000
Rate 6% = 0.06
Time = 12
Answer:
$8567
Step-by-step explanation:
In the image the answer is given.
Formula of depreciation is used in the answer.
22= -11k what does k equal
Answers
Answer:
k = -2
Step-by-step explanation:
Divide 22 by -11 as well as -11k by -11
(You have to divide both sides by the number that k is to find your answer)
22 divided by -11 = -2
-11k divided by -11 = k
meaning you would get the answer of k = -2
Help help help help math math math
Answers
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
What is 68 million squared.
Answers
Answer:
4.624e+15
Step-by-step explanation:
I think this is the correct answer may be wrong
Answer:
4.761e+15
Step-by-step explanation:
Lisa is getting paid 96$ per hour, her salary per hour increases by 12%, how much is she getting paid now after in increases by 12% ?
Answers
Answer:
96$/12×100
=8 × 100
=800$
Answer:
After the raise, I believe she is now getting paid 107.52$ per hour,
Step-by-step explanation:
12% of 96$ is 11.52$
11.52$ + 96$ = 107.52$
I am not sure if all calculations are correct, but I hope this helps! :)
please i need help asap
Answers
Answer: d. Shift units up
Step-by-step explanation:
f(x) = 3^x + 2 means that it must go up by two units.
Which list is in order from least to greatest?
Answers
Answer:
6/10 , 5/8 , 2/3
Step-by-step explanation:
The 3rd one
6/10 , 5/8 , 2/3
if you simplify them into fraction it will be :
0.6 , 0.625 , 0.666
Hey y’all , please give me the correct answer.
Answers
Answer:
-s-6>-7
Step-by-step explanation:
Just ask!
Hope this helps. :)
Answer:
-s-6>-7 (top right)
Step-by-step explanation:
s = -18 > means what is on the left is bigger than what is on the right
top right one = - s - 6 > - 7
top right one = - ( - 18) - 6 > -7
top right one = 18 - 6 > -7
top right one = 12 is bigger than -7
all objects with mass have momentum. true or false
Answers
Answer:
False
Step-by-step explanation:
Even though I said that, an object that moves with a velocity has momentum but on the other way around as far the object is at rest the object will have a momentum of zero a.k.a no momentum.
Find the solutions to x2 = 24.
=
O A. x = +4,16
=
O B.
X =
< = +2.1/6
O C. X= = +62
O D. x= 1514
=
Answers
Answer:
[tex]x\approx\pm4.8989[/tex]
Step-by-step explanation:
[tex]x^2=24[/tex]
[tex]\sqrt{x^2}=\sqrt{24}[/tex]
[tex]x=\pm\sqrt{24}[/tex]
[tex]x\approx\pm4.8989[/tex]
i need 20 characters, but the question is the photo
Answers
Answer: The answer is in the first image.
Explanation: The explanation is in the second image.
what would the algebraic expression be for the product of 3 and x increased by 20
Answers
Answer:
3x + 20
Step-by-step explanation:
Product is for multiplication therefore, the product of 3 and x is 3x.
increased = addition
Overall, the product of 3 and x increased by 20 is 3x + 20.
Determine the amount of the ordinary annuity at the end of the given period. (Round your final answer to two decimal places.)
$200 deposited quarterly at 6.9 for 6 years
Dont need steps…just the answer
Answers
Answer: $301.51 [recheck the answer]
Step-by-step explanation:
y = a(1+r/n)^nt
y = 200(1+0.069/4)^4*6
y = 301.505
