Given:
In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
To find:
The value of ∠K to the nearest 10th of a degree.
Solution:
According to the Law of Sine:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
Using the Law of Sine, we get
[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]
[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]
[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]
[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]
[tex]\sin K=0.961349[/tex]
[tex]K=\sin^{-1}(0.961349)[/tex]
[tex]K=74.0182[/tex]
[tex]K\approx 74.0[/tex]
Therefore, the measure of angle K is 74.0 degrees.
Find the area of the circle. Use 3.14 for x.
Answer:
A = 8,820.24 yd²
Step-by-step explanation:
[tex]A = \pi r^{2}[/tex]
r = diameter ÷ 2
r = 106 ÷ 2 = 53
A = (3.14)(53)²
A = (3.14)(2809)
A = 8,820.24 yd²
Answer:
8,820.26 yd²
Step-by-step explanation:
(see attached for reference)
Given:
Diameter, D = 106 yd
π = 3.14
Area of circle
= (1/4) π D²
= (1/4) (3.14) (106)²
= 8,820.26 yd²
James wants to find the average cost of transportation he used on holiday?
Train tickets: £8.50
Coach Tickets: £7.00
Bus Tickets : £5.70
Taxi Fares : 62.00
What is the mean cost of transportation?
Which piece of data distorts the mean average?
1. Train Tickets
2. Coach Tickets
3. Bus Tickets
4. Taxi fares
The mean cost of transportation is £20.80
The peace of data that distorts the mean average is the taxi fares.
Step-by-step explanation:
Since the mean is the average, you add all the piece of date together then divide by the amount of data.
The equation for that would look something like this:
[tex](8.5 + 7 + 5.7 + 62) \div 4[/tex]
Anna, Laura and David each earn the same monthly salary.
Each month, Anna saves 19 percent of her salary and spends the rest of it.
Laura spends 17/20 of her salary and saves the rest of it.
Amount of salary David saves : amount of salary he spends =2:8.
Work out who saves the most of their salary each month.
Show how you got your answer.
Which statement is not true in the
equation
y = 0.5x?
Answer:
Are there set answers? Ill edit my answer after.
Step-by-step explanation:
A couch was originally priced $500 dollars and on sale for 70% off what is the price for after the discount
Answer: the answer would be $150
Step-by-step explanation:
Answer:$150.00
Step-by-step explanation:
If you think about a item going down by 70%, it means that you are paying only 30% of the total price.
100%-70%=30%
So 30% of $500 is what you are paying.
30%=30/100=0.3
So you multiply 0.3x500
Which is equal to 150
производительность первого станка 14 деталей в минуту А второго 10 деталей в минуту сколько первый заказ за 5 минут Сколько минут потребуется второму станку Для выполнения этого заказа
Answer:
Can you pls enter the correct question
En la comunidad de San Lucas tiene 565 pobladores de los cuales 4/12 son mujeres cuántas mujeres hay en San lucas
Answer:
188.33333333 habitantes
Step-by-step explanation:
En la comunidad de San Lucas hay 565 habitantes de los cuales 4/12 son mujeres, cuantas mujeres hay en San Lucas
El número total de mujeres en San lucas se calcula como :.
4/12 × 565 habitantes.
= 188.33333333 habitantes
Harry receives a package for his birthday the package weighs 50 Oz what is the weight of the package in pounds and ounces?
Answer:
3 pounds 2 oz
Step-by-step explanation:
1 pound = 16 oz
x pounds = 50 oz
Cross Multiply
16x = 50 oz Divide by 16
x = 50 / 16
x = 3 pounds with 2 oz left over.
Your calculator will give you 3.125
0.125 = 1/ 8
1/8 * 16 = 2
HELP PELASE ASAPppppp
Answer:
Its 33,44,55.
Step-by-step explanation:
Pat was in a fishing competition at
Lake Pisces. He caught some bass
and some trout. Each bass
weighed 3 pounds, and each trout
weighed 1 pound. Pat caught a
total of 30 pounds of fish.
He got 5 points in the
Solve this system to find out how many bass and trout pat caught
competition for each bass, but
since trout are endangered in
Lake Pisces, he lost 1 point for
each trout. Pat scored a total of
42 points.
Question 1
The number of bass are 9 and the number of trout are 3.
Given that, Pat was in a fishing competition at Lake Pisces. He caught some bass and some trout.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be the number of bass and y be the number of trout.
Each bass weighed 3 pounds, and each trout weighed 1 pound. Pat caught a total of 30 pounds of fish.
So, 3x+y=30 --------(I)
Since trout are endangered in Lake Pisces, he lost 1 point for each trout. Pat scored a total of 42 points.
5x-y=42 --------(II)
Use elimination method
Add equation (I) and (II), we get
3x+y+5x-y=30+42
⇒ 8x=72
⇒ x=9
Put x=9 in equation (I), we get
3(9)+y=30
⇒ y=3
Hence, the number of bass are 9 and the number of trout are 3.
To learn more about the linear system of an equations visit:
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Equiva
Select two ratios that are equivalent to 27: 9.
Answer:
Step-by-step explanation:
27/9=9/3=3/1
What is the value of Q
Answer:
[tex]q=70[/tex]
Step-by-step explanation:
The total angle measure of supplementary angles (straight angles like this one) will always equal [tex]180[/tex]°, so the following equation can be used:
[tex]180-52-58=q→180-110=q→70=q[/tex]
Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?
Answer:
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Step-by-step explanation:
P.S - the exact question is -
As given
Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours
He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours
Wednesday - [tex]1\frac{1}{4}[/tex] hours
Thursday - 1 hour
Let the remaining practice = x hours
⇒ Total practice = [tex]4\frac{1}{2}[/tex] hours
⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]
⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]
⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]
⇒x - 1 = [tex]-\frac{1}{4}[/tex]
⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]
⇒x = [tex]\frac{3}{4}[/tex] hour
∴ we get
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Kaydence and Delilah are playing mini golf. Delilah's final score was 42. In mini golf, the player with the lowest score wins. Kaydence has 5 holes left and has a score of 27. This inequality represents x, the average number of shots she can take on each hole in order to beat Delilah's score. Which inequality shows how many shots she can take on each hole, on average, in order to beat Delilah's score? A. X < 3 B. X < 4 C. X < 10 D. X < 5
Answer:
A. X < 3
Step-by-step explanation:
Let x represent the average number of shots Kaydence can take on each hole in order to beat Delilah's score.
Delilah final score is 42 while Kaydence has 5 holes left and has a score of 27. Hence:
number of holes left for Kaydence * x < Delilah final score - Kaydence present score
That is:
5*x < 42 - 27
Simplifying gives:
5x < 15
Dividing both sides by 5 to make x the subject of the inequality:
5x / 5 < 15 / 5
x < 3
Answer:
The person from the top was correct
Step-by-step explanation:
x < 3
URGENT PLEASE HELP
6
Solve for b.
b = ✓ [?]
IN
E
b
Enter the number that
goes beneath the
radical symbol.
Answer:
6.32
Step-by-step explanation:
6^2 - 2^2
✓40
=6.32455532
2d.p = 6.32
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
728
Step-by-step explanation:
6552/9 = 728
Problem 1.1
Solve this equation:
2(x + 5) = 3x + 1
Answer:
x = 9
Step-by-step explanation:
Distribute
2x+2*5=3x+1
2x+10=3x+1
Subtract 3x from both sides
-x+10=1
Subtract 10 from both sides
-x=-9
Multiply both sides by -1
x=9
Answer: x=9
Step-by-step explanation: 2(x + 5) = 3x + 1
2(x+5)
2x+2(5)
2x+10-10= 3x + 1-10
2x-3x=3x-9-3x
-x/-1=-9/-1
x=9
Add the fractions.
1/2+ 1/12
Answer:
1283/1000
Step-by-step explanation:
or 2/14
Answer
7/12
Step-by-step explanation:
Work out the sum below. Give your answer as a mixed number in its simplest form 1 1/5 divided by 3/4
Answer:
Answer vary:
1 3/5
Step-by-step explanation:
I have no idea how to explain I did it on paper but if you look up how to divide fractions it‘ll show you how and that’s how you get your answer or use a calculator.
1. turn 1 1/5 into an improper fraction = 6/5
this is how it should go :
1 1/5 divided by 3/4
1 1/5 turns into 6/5
3/4 divide 6/5
and after that you jus keep going and if you don’t know how to divide fractions look it up and it should show you.
The sum of the mixed fraction number 1 ¹/₅ and the fraction number 3/4 will be 39/20.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The two numbers are given below.
1 ¹/₅ and 3/4
Convert the mixed fraction number into a fraction number. Thew we have
1 ¹/₅ = 1 + 1/5
1 ¹/₅ = 6/5
Then the sum of the fraction numbers 6/5 and 3/4 will be calculated as,
⇒ 6/5 + 3/4
⇒ (24 + 15) / 20
⇒ 39 / 20
The sum of the mixed fraction number 1 ¹/₅ and the fraction number 3/4 will be 39/20.
More about the Algebra link is given below.
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Find the diameter of the circle shown: 7 in
Answer:
huh paki ayus p ung tanong dattebao
Answer:
The answer would be 14in
Step-by-step explanation:
This is the answer because the formula is d=2r
so ur looking for the diameter
plug in the "radius" (7in) in the formula
7 times 2 is 14
14in is ur answer!!!
im really confused on this question
Answer:
im confused on that question too but here is the a pic for u
Step-by-step explanation:
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Kayra and Mycho sell flowers on weekends to earn extra money.For every 2 flowers that Kayra sells,Mycho sells 5. If Kayra sold 6 newspapers,how many did Mycho sell?
Answer:
We know that:
For every two flowers that Kayra sells, Mycho sells 5.
Now, in the question we have:
"If Kayra sold 6 newspapers, how many did Mycho sell?"
There is no information about newspapers, so we can't answer anything.
If we had something like:
"If Kayra sold 6 flowers, how many did Mycho sell?"
Well, in this case, we remember that for every 2 flowers that Kayra sells, Mycho sells 5, then the first thing we need to do is count how many groups of 2 flowers we have in 6 flowers, this is:
6/2 = 3 groups.
And for each one of these, Mycho will sell 5 flowers, then the total number of flowers that Mycho sold is:
3*5 = 15 flowers.
A number line is shown.
E
F
H
G
+
10
-10 -5
0
15 20
Which two point values create a zero pair?
A points E and F
B points Fand G
cpoints G and H
D points E and H
Answer:
it's b) F and GStep-by-step explanation:
to understand thisyou need to know about:integeradditionPEMDASlet's solve:-5 and 5 make
if you add them you will get 0
-5+5
=0
therefore
it's bTrês garçons trabalham em um restaurante. No final de um dia de trabalho, um deles recebeu R$
24,00 de gorjeta, o segundo recebeu R$ 57,00 e o terceiro recebeu R$ 39,00. Como eles sempre
dividem por igual toda a gorjeta, quantos reais cada um recebeu nesse dia?
Step-by-step explanation:
70 Reis espero ter ajudado
The top base of a trapezoid is 18 inches shorter than the bottom base. The top base is 108 inches long.
Let b represent the length of the bottom base. Which equation models the problem?
and don't forget is this problem a adding or subtraction
ABCD is a trapezium
AD and BC are parallel
Work out the length of BD to 1 decimal place
Work out the length of CD to 1 decimal place
Answer:
a) 12.1
b) 15.1
Step-by-step explanation:
expand and simplify (X+7) (x-2)
Urgent please my teacher threatened me with an axe
Answer:
x²+5x-14
Step-by-step explanation:
expand out the brackets:
x²-2x+7x-14
simplify:
x²+5x-14
Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. Write an equation in standard form that represents the situation
____x+____ y=____
Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______
Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3:1 internally.
Answer:
The coordinates of the point that divides the line internally in the given ratio is (7,3)
Step-by-step explanation:
To find this coordinates, we use the in renal division formula
we have this as;
(x,y) =( nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
(x1,y1) = (4,-3)
(x2,y2) = (8,5)
(m,n) = (3,1)
So, substituting these values, we have ;
(x,y) = (1(4) + 3)8))/(3 + 1) , (1(-3) + 3)5)/(1 + 3)
(x,y) = (28)/4, (12/4)
(x,y) = (7,3)