Answer:
B. 28.5
Step-by-step explanation:
Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...
A + B + C = 180°
C = 180° -A -B = 180° -32° -25° = 123°
The Law of Sines tells you ...
c/sin(C) = a/sin(A)
c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)
c ≈ 28.5
_____
Additional comment
The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:
a/sin(A) = b/sin(B) = c/sin(C)
In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.
This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.
Help me
pleaseeee
i need help
Answer:
A=2, B=28
Step-by-step explanation:
A:6:7
8:24:B
A=8÷4
=2
B=7×4
=28
Answer:A=2
B=28
Step-by-step explanation:
Find 6.3×10−59×10−3
6
.
3
×
10
-
5
9
×
10
-
3
in scientific notation.
Answer:
-5.3 x 10^2
Step-by-step explanation:
I believe that is the answer
After the temperature rose 6°, the thermometer read 64°F.
What is an equation that can be used to find x, the temperature before the 6° increase.
Drag the number, symbol, or operation sign to each box to complete the equation.
Answer: 64 - 6 = x
Step-by-step explanation:
Answer:
64-6=x
Step-by-step explanation:
I took the test.
What is the solution to the system of equations below?
x + 3 y = 15 and 4 x + 2 y = 30
(6, 3)
(3, 6)
(7, –6)
(–6, 7)
Answer:
Step-by-step explanation:
For x+3y=15
Take (6,3) and substitute the points:
6+3(3)=15
6+9=15
15=15
For 4 x + 2 y = 30 and substitute the points:
4(6)+2(3)=30
24+6=30
30=30
So, (6,3) is the solution of the given system of equations.
If you need to ask any questions, let me know.Equivalent decimals for 10.045
Answer:
10.05 , 10,0
Step-by-step explanation:
really sorry if theses aren't the answers your looking 4 !
A cube has volume 1331cm3. Calculate the length of one edge of the cube.
Answer:
answer=11 cm.
Step-by-step explanation:
Step-by-step explanation:
V = Volume of cube
a = edge
Formula of volume of cube:
V = a³
[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]
The length of each edge is 11 cm.
please help me! i dont understand this D:
Answer:
562.39
Step-by-step explanation:
506.13+451.26=957.39
957.39-395=562.39
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
Answer:
27 is the answer
Step-by-step explanation:
36/.75=27
A jar contains 12 more nickels than quarters. The total value of the quarters equals the total value of the nickels. How many quarters are there?
-----------------
This is the only information I got in the question!
There are 15 nickels and 3 quarters.
Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)
A jar contains 12 more nickels than quarters.
x = 12 + y
x - y = 12 (1)
Also the, total value of the quarters equals the total value of the nickels. hence:
0.05x = 0.25y
0.05x - 0.25y = 0 (2)
Therefore x = 15, y = 3
Therefore there are 15 nickels and 3 quarters.
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There are 3 quarters in the jar.
Let n = number of nickels and n' = number of quarters
Since the jar contains 12 more nickels than quarters, we have
n = n' + 12 (1)
Also, the total value of the quarters equals the total value of the nickels.
Since one nickel = $ 0.05 and 1 quarter = $ 0.25
n × 0.05 = n' × 0.25
0.05n = 0.25n'
Dividing both sides by 0.05, we have
n = 0.25n'/0.05
n = 5n'
Substituting n = 5n' into (1), we have
n = n' + 12
5n' = n' + 12
5n' - n' = 12
4n' = 12
Dividing both sides by 4, we have
n' = 12/4
n' = 3
So, there are 3 quarters in the jar.
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In the inequality -2 < 2, which number appears farther right on a number line and why?
Answer:
2
Step-by-step explanation:
2 is farther right on the number line because it is a positive number while -2 is negative.
what does it mean to use quotient powers?
When we use the concept of power and a denominator in it, we will describe the root in another form.
What is the definition of potency?Potency is that which has power, strength, vigor and importance. In mathematics, power is the result of a number multiplied by itself one or more times. .
The base equation of the power is:
[tex]a^b = c[/tex]
Where:
a = base; b = exponent; c = power.So from the definition of power we have that when a division in the power occurs we will have to be the same thing as writing a root.
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If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
the input number is -10
Step-by-step explanation:
output is always y
input is always x
so instead of y, put -52
-52=5x-2 add 2 to each side to ger 5x by itself
-50=5x divide both sides by 5 to get x by itself
-10=x
x is the input so the input is -10
During a job interview, you are asked to rate on a scale of 1 to 5 how happy you are. What type of test is the interviewer giving you
Answer:
Probably how much you want this job, if you say 0, than they are prob gonna assume you dont want to do this job, and you wont do your best. If you say 5, then you do want this job and your excited and youll give your all
Step-by-step explanation:
Questions regarding the level of excitement or happiness of one's self are called mental health or happiness test.
Happiness test are administered to evaluate personal feeling of excitement, hence, it cannot be taken on one's behalf as they are personified information. Happiness test are usually structured as "How happy are you". Hence, they are direct and usually measured using an Ordinal scale.Hence, the type of test on this context is Happiness test.
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What is the slope of this graph?
a: 1/3
b: 3
c: -3
d: -1/3
Answer:
-3
remember, slope is rise over run. It's negative because the line is declining.
what is a 8096 rounded to 1 significant figure
Answer:
Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(
What is the cost to make one flag?
Answer:
$1.75
Step-by-step explanation:
3.5*2.5=(8.75)/2=4.375*0.4=1.75 dollars
What is the greatest common factor of 18, 6, and 36?
Answer:
18 is the greatest common factor between those
Answer:
There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.
Step-by-step explanation:
Which relation is a function?
Answer:
The bottom right option
Step-by-step explanation:
Functions need each input to map to exactly one output. Graphically speaking, this means that any two points on the function cannot have the same x-coordinate.
Given this, the bottom right option is the only one that fits these circumstances.
(+4)-(+4)-(-10)+(+4)-(+8)+(-16)-(-10) I only need the procedure Thanks
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
look at photo that is added
Question is in the file below.
Answer:
I am confused with this ques there two of them gets the same ans
A and B has same value and
C and D has same value
are you supposed to choose two of. them?
however i got C= -40 , D = -40
Let me know if its incorrect :-)
Any one know the answer for this question??????
Answer:
C) y > 0
Step-by-step explanation:
I graphed it
Which ordered pair is a solution to
the equation
3x + 9y = 27 ?
Answer:
x=9-3y
Step-by-step explanation:
- Move the variable to the right & change its sign
3x + 9y = 27
- Divide both sides by 3
3x = 27 - 9y
- Write the solution x in parametric form
x=9-3y
- Solution:
x= 9-3y
can you HELP PLZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give 50
The product of 3542 and 8 using the partial product is 28,336
To create a partial product of the value using an array, we will follow the following steps
Draw an array or a boxBreak the given integers into values that can be easily worked with. For instance, 3542 can be broken down into (3000+500+40+2)Take the product as shown below;[tex]3542\times8=(3000+500+40+2)\times 8\\3542\times8 = 3000(8) + 500(8) + 40(8) +2(8)\\3542\times8=24000+4000+320+16\\3542\times8=28000+336\\3542\times8=28,336[/tex]
Find the array box attached
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Use: 0, 4, 6 11, 9,8, 9, 1, 5 9, 7 to construct a line plot. Describe the line plot to the best of your ability in the box below
Answer:
0, 1, 4, 5, 6, 7, 8, 9, 9, 11.
Step-by-step explanation:
Since 11 is the maximum number in the line plot, 0 is the least number, and 7 is the medium number on the line plot.
x
x x x x x x x x x
0 1 4 5 6 7 8 9 11
each table shows a proportional relatioship. fill in the missing values and determine k.
Answer:
what table ..............there is no table
Given side AB in triangle ABC has length x, what is the length of side AC?
The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.
Given :
Given side AB in triangle ABC has length x.
The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.
The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:
[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]
Now, put the known values in the above equation.
[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]
[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]
AC = 2x
So, the correct option is D).
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Carey Enterprises sold equipment on January 1, 2014 for $10,000. The equipment had cost $48,000. The balance in Accumulated Depreciation at January 1 is $40,000. Requirements: 1. Compute the gain or loss on sale 2. Prepare journal entries to record the sale of the equipment
The sale of an equipment is referred to as disposal of an asset. The required answers are:
1. Gain on disposal = $2000
2. Journal entry for the disposal of the equipment.
Dr Cr
$ $
Cash acct. 10000
Asset 8000
P or L 2000
Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.
1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.
Thus, to determine the gain or loss on disposal;
$'000
Cost 48
Accum. Depreciation 40
Carrying amount 8
Gain or loss on disposal = Selling price - carrying amount
= $10000 - $8000
= $2000
The gain on disposal is $2000.
2. Dr Cr
$ $
Cash acct. 10000
Asset 8000
P or L 2000
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Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30
Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.
What is a system of equations?A system of equations is called simultaneous equations.
Simultaneous equations are two or more equations solved concurrently.
Shop A Shop B
The number of cars already repaired 55 30
The number of cars repaired per week 5 10
Let the number of cars repaired by Shop A in w weeks = 5w + 55
Let the number of cars repaired by Shop B in w weeks = 10w + 30
For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30
5w - 10w = 30 - 55
-5w = -25
w = 5
Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.
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A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than
Considerations based on the wattage of the available appliances are required when designing for the electricity.
The required wattage inequality is; Available wattage > 10,460 WattsReasons:
The items used and the possible power consumption obtained from a similar are as follows;
Appliance [tex]{}[/tex] Average power (Watts)
One air conditioner; [tex]{}[/tex] 3,500
Washing machine; [tex]{}[/tex] 500
Clothing dryer; [tex]{}[/tex] 5,000
Computers × 2; [tex]{}[/tex] 70 × 2 = 140
Light bulbs × 4; [tex]{}[/tex] 60 × 4 = 240
Refrigerator; [tex]{}[/tex] 600
Television × 2; [tex]{}[/tex] 240 × 2 = 480
The power, P, in watts that might be needed is found as follows;
Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460
The electric power in watts that might be needed, P = 10,460 Watts
Therefore;
The available wattage must be greater than 10,460 Watts
The inequality is; Available wattage > 10,460 Watts
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