Answers
Answer:
x ≈ 23.31
Step-by-step explanation:
We can use the law of cosines because we know 2 sides and 1 angle.
The general formula for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.
[tex]c = \sqrt{a^{2} +b^{2} -2*a*b* cos \alpha }[/tex]
In our problem the law of cosines is
x = [tex]\sqrt{21^{2} +13^{2} - 2*21*13 *cos 83}[/tex]
x ≈ 23.31
Related Questions
An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210.
Answers
Answer:
he has to pay 4980$ in tax So its C) 4,980
The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
An electrician has an income of $41,500.
The income tax the electrician has to pay is 12%.
Then the amount of income tax that the electrician has to pay will be
Amount of income tax = 0.12 × $41500
Amount of income tax = $ 4980
Thus, the amount of income tax that the electrician has to pay is $4980.
More about the percentage link is given below.
https://brainly.com/question/8011401
14) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%
interest per year. For how many years was the principal invested?
ок
Answers
4 years
Step-by-step explanation:[tex]per\ year\ earn:2000\times 5\%=100[/tex]
[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]
I hope this helps you
:)
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
Write down the first 4 terms of a sequence that starts at 0 and decreases by 6 in each term.
Answers
Answer:
0, -6, -12, -18
Step-by-step explanation:
start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.
please give brainliest!!!!
which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5
Answers
Answer:
like fractions have the same denominator. So A is correct
i will give brainliest to the first to answer
Answers
Answer:
2/6 = 1/3
8/1 = 8
2/4 = 4/8
2/8 = 1/4
4/4 = 1
Step-by-step explanation:
2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3
for 8/1 it is the same as just 8
2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8
the same goes for 2/8 which is 1/4
and 4/4 is just 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
2/6=1/3
8/1=8
2/4=4/8
2/8=1/4
4/4=1
HELPPPP Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 45 km/h. How far apart are they at 2 pm?
Answers
How far both planes travelled is an illustration of distance
Both planes are 510 km apart at 2 pm
How to determine their distance apart?The rates of the two planes are given as:
Plane A = 300km/h
Plane B = 45km/h
Calculate the difference (r) in their rates
r = 300km/h - 45km/h
This gives
r = 255km/h
At 2 pm, both planes have travelled for 2 hours.
So, the distance between them is:
d = 255 * 2
d = 510km
Hence, both planes are 510 km apart at 2 pm
Read more about distance and speed at:
https://brainly.com/question/4931057
What is the totale of the recta
square meter
Answers
1/5 x 1/5 = 0.04 or 4/100
4/100 simplified is 1/25
What is the value of y in the equation 2 + y = −3?
Answers
I believe that y is equal to -5.
y=-5
Which is equivalent to 4 (9) 1/2 ^x
O 9^2x
O 9 1/8 ^x
O (9)^x
O 6(9) ^x
Answers
Answer:
36/2^x
Step-by-step explanation:
= 4 X 9 x 1/2^x
= 36/2^x
What is the value of w in the equation 2(2w − 16) = 0?
Answers
Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
what are irrational numbers? give examples.
Answers
Answer:
set of numbers that cannot be represented in form of a/b
examples square root of 2, 3, 5 and 6
Marvin has a vintage comic book worth $351. According to a dealer, the value of this particular comic book will increase by 12.1% each year. How much will the comic book be worth in 13 years?
If necessary, round your answer to the nearest cent.
Answers
y= 0.012 x 13 + 351
y= 1.573 + 351
y= 352.573 or $352.6
Which expression is equivalent to 3 square root of x^5 y
Answers
[tex] \sqrt[3]{ {x}^{5}y } = {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } \\ [/tex]
Thus the second option is the correct answer
Two angles in a triangle add up to 152 degrees.
what is the size of the third angle?
Answers
Answer:
28 degrees
Step-by-step explanation:
A triangle is 180 degrees. 180-152=28.
Answer:
The third angle is 28 degrees
Step-by-step explanation:
A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)
What’s 70x56,000+65,000,000
Answers
A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS
Answers
More earnings:-
25% of x0.25xTotal earnings this year
x+0.25x(1+0.25)x$1.25xAnswer:
[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]
Step-by-step explanation:
Given:
Last year: $x
Determining the money earned for this year:
This year = 25% more than last year
= $25x/100 + $x
= $x/4 + $4x/4
The expression that represents the money earned this year is $x/4 + $4x/4.
Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.
A circle has a central angle that measures 120 degrees and a radius of 8.
fraction numerator 48 straight pi over denominator 9 end fraction units squared
fraction numerator 64 straight pi over denominator 3 end fraction units squared
fraction numerator 32 straight pi over denominator 3 end fraction units squared
fraction numerator 16 straight pi over denominator 9 end fraction units squared
Answers
The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²
Area of a sectorThe area of a sector is defined as follows:
area = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
r = 8
∅ = 120°
Hence,
area of the sector = 120 / 360 × π × 8²
area of the sector = 1 / 3 × π × 64
area of the sector = 64π / 3 units²
learn more on area here: https://brainly.com/question/12655272
heres another one of those impossible looking problems for another chance for a brainly no links please
Answers
Answer:
B. X=6 onlyStep-by-step explanation:
Isolate the term of x from one side of the equation.
[tex]\sf{\sqrt{2x-3}=x-3}[/tex]
2x-3=x²-6x+9
Solve.
[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]
Therefore, the solution is x=6, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Hope this was helpful :)
What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400
Answers
The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
What is the sector of a circle?
A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
The radius of the sector =20 units
Central angle subtended by sector = 162° = 162π/180 radians
As we know the area of a sector= 0.5r²α
where r is the radius and α is the central angle.
So, the area of the given sector = 0.5*20²* 162π/180
The area of the given sector = 180π unit²
Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
To get more about the sector visit:
https://brainly.com/question/25305793
Answer:
its c
Step-by-step explanation:
If the point (x,square root 3/2) is on the unit circle, what. is x?
Answers
Answer:
[tex]x=\pm\frac{1}{2}[/tex]
Step-by-step explanation:
On a unit circle, [tex](x,y)=(\cos\theta,\sin\theta)[/tex], so [tex]\sin\theta=\frac{\sqrt{3}}{2}[/tex] in this case. If you look at the attached circle, the only time that the y-coordinate is [tex]\frac{\sqrt{3}}{2}[/tex] is when [tex]x=-\frac{1}{2}[/tex] and [tex]x=\frac{1}{2}[/tex], which correspond to angles of [tex]\theta=\frac{2\pi}{3}[/tex] and [tex]\theta=\frac{\pi}{3}[/tex] respectively
PLEASE HELP ASAP Here is the question afterward:
Answers
17 (1/5) × 17,5 = 301
,..,.
Geena can rent an apartment for $850 per month or she can buy a house for $175,000 at 3.875% interest for 30 years. How much will each housing choice cost for one year?
A. Price of Renting:
B. Price of Buying:
Answers
Using simple interest, it is found that the prices are as follows:
A. $10,200.
B. $12,614.58.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.Item a:
$850 for 12 months, hence the yearly cost is:
P = 850 x 12 = $10,200.
Item b:
The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:
A(t) = A(0)(1 + rt)
A(30) = 175000[1 + 0.03875(30)]
A(30) = 378437.5.
The yearly cost is given by:
378437.5/30 = $12,614.58.
More can be learned about simple interest at https://brainly.com/question/25296782
Fine The Gradient of the curve xy=6, at point 1 & 6.
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
Thnx ~~
Answers
Answer:
[tex]\fbox{Gradient of curve = -6}[/tex]
Step by step explanation:
Given:
Equation of curve ↦ xy = 6
Point ↦(1,6)
To find:
The gradient of curve = ?
Solution:
[tex]Using \: the \: equation, \\ xy = 6 \\ [/tex]
Taking log both the side,
[tex]log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}[/tex]
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5. The dot plot shows a random sample
of the number of migrating geese
flocks observed by 25 participants
during a two-day hike.
Day 1
Day 2
IN
+ +
+ + + + +
2 3 4 5 6 7 2 3 4 5 6 7
Number of Flocks Observed Number of Flocks Observed
Use the mean value of each data set to
make an inference about the number
of flocks observed each day.
Answers
Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.
What does a dot plot show?The dot plot shows the number of times each measure appears in the data-set.
Hence, the mean of the data-set corresponding to day 1 is given by:
M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68
And the mean of the data-set corresponding to day 2 is given by:
M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.
M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.
More can be learned about dot plots at https://brainly.com/question/24912483
Please help me solve this
Answers
Answer:
The length of river D is 2550
length of river C is 2550+500=3050
Step-by-step explanation:
Let the river D be 'x'
and the river C is (x+500)
x + x + 500 = 5600
2x + 500 = 5600
2x = 5600 - 500
2x = 5100
x = 5100/2
x = 2550
The length of river D is 2550
length of river C is 2550+500=3050
Baba Clothing store is a having a 5% off sale on all of its clothing. Which expression represents the discounted price if p is the original price?
Answers
Answer:
The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen
Step-by-step explanation:
Help me on this question please!
Answers
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
═════════════════════
[tex]x+5[/tex]
[tex]x^{1-1} [/tex]
[tex]x^{0} [/tex]
[tex] = 1 [/tex]
─────────────────────┈
[tex](2x + 3)[/tex]
[tex]2x^{1-1} [/tex]
[tex]2x^{0} [/tex]
[tex]2\times 1 [/tex]
[tex] = 2[/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Find two prime numbers that Nidah could have written down.
Mathematician
Answers
Answer:
2 and 3
Step-by-step explanation:
prime numbers=2,3,4,5,...
taking 2 and 3
2+3=5
5²=25
hence the different prime numbers are 2 and 3
The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)
What are Prime Numbers?A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Given that, Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Square numbers less than 30 are = 1, 4, 9, 16, 25
The pairs of numbers that can satisfy the given condition are;
2 + 7 = 9
2 +23 = 25
3 + 13 = 16
5 + 11 = 16
Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)
For more reference on Prime numbers, click;
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#SPJ2
Is my answer correct?
Answers
Answer:
No, not all of them are correct.
Step-by-step explanation:
The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT
At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answers
Answer:
C. 0.5..................