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
what is the value of 3.5(11+1.9(11)+1.6(11)?
Answers
Answer:
The answer is 77
Shapes. I will give brainless answer correctly and tell me the number
Answers
Answer:
It has to be 4 parts because it will to uneven if you cut diagonally.
What is the initial value of the equation shown?
y = −5x + 2
a
−5
b
−2
c
5
d
2
Answers
Answer:
Y = 2
Step-by-step explanation:
if you were looking for y's value
Divide £520 in the ratio 6:7
Answers
6 + 7 = 13
Now we can divide 520 by 13 = £40
Answer = £40.
The ratio of the number 520 in 6: 7 will be 240: 280.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 520 is divided into the ratio 6: 7.
The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.
6x + 7x = 540
13x = 540
x = 540 / 13
x = 40
6x = 40 x 6 = 240
7x = 7 x 40 = 280
Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.
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Determine whether the data in the table can be modeled by a linear equation. Explain.
If possible, write a linear equation that represents y as a function of x
Answers
Answer:
yes, because they're varying in a constante rate
y = -1/2x +3.5
Which lines of A, B, and C are perpendicular?
Answers
Answer:
a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1
Step-by-step explanation:
perpendicular slopes multiplied by each other would be -1
-1/3 * 3 for a and both other lines is -1
that means a is perpendicular to both b and c
2.3² +9 × 4 ÷by 2
plz help
Answers
Answer: 23.29
Step-by-step explanation:
Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?
I really need help with this!
Answers
Answer:
the second bottle
Step-by-step explanation:
To get the amount it costs per ounce, divide the amount of money by the number of ounces.
A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.
therefore, the 16 ounce bottle is cheaper per ounce
If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits
Answers
The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.
The percentage of employee benefits to total gross pay for each worker has to be determined.
Percentage = (total job benefits / gross pay) x 100
Emily: (33,600 / 32,600) x 100 = 103.07%
Jack: (34,700 / 33,700) x 100 = 102.97%
Judy: (33,900 / 33,400) x 100 = 101.5%
Marcel: (34,000 / 32,900) x 100 = 103.43%
A similar question was answered here: https://brainly.com/question/25764815
Please find attached a complete question
30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?
Answers
Answer:
30 parks
Step-by-step explanation:
9÷0.3=30 parks
pls help me answer this 12 to 15 questions
Answers
Answer:
Step-by-step explanation:
See attachment
12. -23C
13. 28.9% Loss
14. Diagram in the attachment. The sides can be calculated with the Pythagorean Theorem. Side = 3.61 cm
15. Use trig relationships. x = 5, y = 8.66
Please help me asap
tyyyyyyy :D
Answers
Answer:
7x + 2y = -6
Step-by-step explanation:
Multiply the equation with 2
2 ( y = -7x/2 - 3 )
2y = -7x - 6
7x + 2y = -6
Solve for y.
y + 3 = 8y + 3
y =
Answers
[tex]y + 3 = 8y + 3[/tex]
Subtract both sides 3
[tex]y + 3 - 3 = 8y + 3 - 3[/tex]
[tex]y + 0= 8y + 0[/tex]
[tex]y = 8y[/tex]
Subtract both sides y
[tex]y - y = 8y - y[/tex]
[tex]0 = 7y[/tex]
Divide both sides by 7
[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]
[tex]y = 0[/tex]
There you go....
Ah
Have a great day ♡
Which equation is equivalent to
A=1/2bh?
A) H=2A/b
B) H= A/2b
C) H= A - 1/2b
D) H= 2A-b
Answers
Answer:
a
Step-by-step explanation:
Please help meee :( Just an answer
Answers
Answer:
p plus 6
Step-by-step explanation:
Use the function below to find f(-2)
F(x)=3x
Answers
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B
Find the slope of the line that passes through (84, 7) and (85, -25). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer: The slope is -32
Explanation:
Start with the slope formula:
m= (y2 - y1) / (x2 - x1)
Substitute point values in the formula
m = (-25 - 7) / (85 - 84)
Simplify each side of the equation
m= (-25 - 7) / (85 - 84) = -32/1
Solve for slope (m)
m= -32
Addy spent $ 15 on supplies to make giant sugar cookies and plans to sell them at her neigthorhood bake sale for $2 each . She wants her profit after paying back expenses to be a least $ a. What inequality vould represent this situation? bRepresent the solution on a number 'ine. How many cookies does she need to sell to make at least 20?
Answers
Answer:
(1.25c) + (1p) ≥ 25
c is the amount of chocolate chip cookies
p is the amount of peanut butter cookies
Step-by-step explanation:
What is the solution for the system of equations?
y = -x +4
y = x- 2
• (3, 1)
• (1, - 2)
• (-2, 1)
• (1, 3)
Answers
Answer:
1, 3
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = x - 2
// Plug this in for variable y in equation [1]
[1] (x -2) + x = 4
[1] 2x = 6
// Solve equation [1] for the variable x
[1] 2x = 6
[1] x = 3
// By now we know this much :
y = x-2
x = 3
// Use the x value to solve for y
y = (3)-2 = 1
PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!
Answers
Answer: The answer is 27.04 square inches.
Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.
Answer:
27.04 in^2
Step-by-step explanation:
hope this helps! :)
A 4-oz. filet of salmon contains 500 mg of potassium. The daily recommended amount of potassium is 3,500 mg. If you ate a 6-oz. filet of salmon, what percent of your daily value did you eat of potassium?
A. 21%
B. 15%
C. 25%
D. 12%
Answers
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
1. How many band members are sixth graders?
band members
2. How many band members are seventh graders?
band members
3. What percentage of the band members are eighth graders?
Answers
Answer:
1=28 students 2=14students 3=40%
Step-by-step explanation:
1. 70 students = 100%
7 students = 10%
28 students = 40%
28 students are sixth graders!
2.70 students = 100%
7 students = 10%
14 students = 20%
14 students are seventh graders!
3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%
40% are eighth graders!
Nancy's nut shop sells cashews for $5.30 per pound and peanuts for $2.80. How many pounds of peanuts must be added to 20 pounds of cashews to make a mix that sells for $3.30 per pound?
Answers
Answer:
80 pounds
Step-by-step explanation:
let 'p' = pounds of peanuts to be added
20(5.3) + 2.8p = 3.3(20 + p)
106 + 2.8p = 66 + 3.3p
40 = 0.5p
p = 80
9. Which of the following is an example of the Commutative Property of Addition? (1 point)
O 12 + 4 = 4 + 12
O 12 + (3 + 2) = (12 + 3) + 2
O 2 + 7 + 0 = 2 +7
O 17+ (-17) = 0
V
10. If p = 8, evaluate 42+p:3. (1 point)
02.
03
06
08
Finish
Cancel
Answers
Answer:
9. the first one ( 12 + 4 = 4 + 12 )
Step-by-step explanation:
the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.
The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The four options
Now,
The commutative property of addition states that changing the order of the addends does not change the sum.
This is the only option that shows the same sum with different orders of addends.
Therefore, by algebra the answer will be 12 + 4 = 4 + 12.
More about the Algebra link is given below.
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need assistance with algebra 2
Answers
Answer:
A. Quadratic, degree 2
Step-by-step explanation:
The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Answers
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)
i need answer for knoledge
Answers
Answer:
I couldn't understand what you actually mean. But, I -think you are trying to ask what is the meaning of Knowledge.
HERE - (definition of knowledge)
facts, information, and skills acquired by a person through experience or education; the theoretical or practical understanding of a subject.
Find the greatest common factor of the
following monomials:
18xy^ 30xy3
NO LINKS
Answers
Answer:
Step-by-step explanation:
6xy^3
45. You decide to market your own custom computer software. You must invest $3,255 for
computer hardware, and spend $2.90 to buy and package each disk. If each program sells
for $13.75, write a system of equations and determine how many disks you must sell to
break even.
Answers
Simplify 3x + 5y + 2x – 4y
Answers
Answer:
5x + yStep-by-step explanation:
3x + 5y + 2x – 4y=> 5x + yConclusion:
Therefore:
5x + yHoped this helped.
[tex]GeniusUser[/tex]
The simplified form of the given expression is 7x+y.
The given expression is 3x+5y+2x-4y.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Group the like terms and simplify, we get
(3x+2x)+(5y-4y)
= 7x+y
Therefore, the simplified form of the given expression is 7x+y.
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