Answers
Given:
A triangle ABC.
The given expression for b is:
[tex]b=\sqrt{m+n-pq}[/tex]
To find:
The expression that is equivalent to b.
Solution:
According to the Law of Cosines,
[tex]b^2=a^2+c^2-2ac\cos B[/tex]
It can be written as:
[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex] ...(i)
We have,
[tex]b=\sqrt{m+n-pq}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=a^2[/tex]
[tex]n=c^2[/tex]
[tex]p=2ac[/tex]
[tex]q=\cos B[/tex]
Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].
Related Questions
Isabel owns a T-shirt cart and has a contract with a local sports arena to distribute T-shirts outside the venue. Isabel is paid a flat rate of
$255 and a variable rate per T-shirt. The following table represents the total amount of money isabel makes. Let & denote the
number of T-shirts that Isabel sells and let y denote the amount of money that Isabel makes. What is the estimated amount of money
that Isabel makes if she sells six T-shirts?
T-shirts
0
1
2
3
4
Money
$255 $270 $289 $312 $339
Answers
Answer:
$355
Step-by-step explanation:
If x = 4, what is the value of 4x + 3?
Answers
Answer:
19
Step-by-step explanation:
4(4)+3=19
The radius of a circle is 12 centimeters. Calculate the area of the circle?
Answers
Answer:
A≈452.39cm²
Step-by-step explanation:
Solution
A=πr2=π·122≈452.38934cm²
Answer:
452.389
Step-by-step explanation:
hope this help
hey lol pls help ;)
A) the angles are alternate exterior angles
B) the angles are interior angles
C) the angles are supplementary angles
D) the angles are vertical angles
Answers
In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.
Answers
Answer:
36 degrees for each angle.
Step-by-step explanation:
If you divide 180 by 5 (for each point in the star) you get 36 degrees.
please help asap!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Michelle is giving a haircut and a permanent to another woman. The
total bill is $77. If the woman tips Michelle 15%, how much will the tip
be?
Answers
Answer:
$77 x 15/100 = $11.55
Step-by-step explanation:
15 percent of 77 dollars is 11.55
Selection two: solving two step equations (7 of 10) 20-n=48
Answers
Please Mark BRAINLIEST!
Find the area of a square
Answers
Answer:
Step-by-step explanation:
area =l^2
=7^2
=49 km^2
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall.
Answers
Answer:
2400 in^3
Step-by-step explanation:
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?
the capacity of the tank can be determined by calculating the volume of the tank
volume of a prism = length x width x height
20 x 10 x 12 = 2400 in^3
no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular
Answers
Answer:
C. PerpendicularStep-by-step explanation:
The lines are making 90° with each other.
JK ⊥ LM, the lines are perpendicularCorrect choice is C
Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area of the door to see if she has enough paint. What is the surface area of the door?\
PLS HELP ME
Answers
Answer:
Step-by-step explanation:
2(80*3)+2(3*200)+2(80*200)=33680cm
What value of X makes equation below true 2x + 9 = 4x - 1
Answers
Answer:
5
Step-by-step explanation:
Answer:
5 IS THE RIGHT VALUE THAT MAKES THE GIVEN EQUATION TRUE...
Step-by-step explanation:
2x+9=4x-1
9+1=4x-2x
10=2x
10/2=x
5=X
solve (√100 +√25). ASAP
Answers
Answer:
Step-by-step explanation:
15
G = { liquid, solid, gases} what type
of set is G.
a) Empty set
b) Firite set
c) Infinite set
d) Undefined set
Answers
Answer:
Step-by-step explanation:
I think it’s b…
There are seven quarters in the bottom of a tote bag. Three of those quarters were minted in 2019, two were minted in 2001, and two were minted in 2008. What is the probability of selecting two quarters that were both minted in years other than 2019 if the first was not replaced before the second was selected?
Answers
Answer:
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
Step-by-step explanation:
Given
[tex]n(2019)= 3[/tex]
[tex]n(2001)= 2\\[/tex]
[tex]n(2008)= 2[/tex]
[tex]n = 7[/tex] --- total
Required
[tex]P(Not\ 2019)[/tex]
When two quarters not minted in 2019 are selected, the sample space is:
[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]
So, the probability is:
[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(2001,2001) = P(2001) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2001) = \frac{1}{21}[/tex]
[tex]P(2001,2008) = P(2001) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2008) = \frac{2}{21}[/tex]
[tex]P(2008,2001) = P(2008) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2001) = \frac{2}{21}[/tex]
[tex]P(2008,2008) = P(2008) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2008) = \frac{1}{21}[/tex]
So:
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]
Take LCM
[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]
[tex]P(Not\ 2019) = \frac{6}{21}[/tex]
Simplify
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63
Answers
Answer:
Step-by-step explanation:
uy
According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
How to calculate how much average household paid per year in federal gasoline taxes?To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:
Determine the total number of gallons of gasoline consumed by the average household per year:
Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)Calculate the total amount paid in federal gasoline taxes per year:
Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.
Learn more about taxes in: https://brainly.com/question/23347326
#SPJ2
Marking brainliest!!
Was the KKK prominent people ?
Answers
Prominent definition; important/famous
They were definitely important and famous, just not in the best light ya feel me?
If any of you are good with math and Science especially algebra can you PLEASE HELP ME
Answers
Answer:
ok what do i do 1st
Step-by-step explanation:
Answer:
how can i help?
Step-by-step explanation:
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?
Answers
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?
____________________Solution :-Given Information :-Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00To Find :-Total cost of the mirror Austen needs to buy.Formula Used :-Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot Calculation :-Area of mirror :-Substituting the values given in the 1st formula, We get,
⇒ Area of mirror = ( 3 × 2 ) ft²
⇒ Area of mirror = 6 ft²
Now finding the total cost of mirror,Substituting the values calculated above in the 2nd formula, We get
⇒ Total Cost of mirror = $ ( 6 × 5.00 )
⇒ Total Cost of mirror = $30
___________________Final Answer :-Total cost of the mirror Austen needs to buy will be $30____________________please help me
i wanna sleep :(
Answers
Answer:
what langue is that
Step-by-step explanation:
help
In the Line Plot above, what number is the outlier in the data points?
Answers
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answers
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
plz help me i will give 50 points,
Answers
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answers
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
Write the equation of a line that is parallel to y=−5/4x+7
and that passes through the point (-4,1)
Answers
Answer:
y=-5/4x-4.
Step-by-step explanation:
parallel lines have to have the same slope so they don't intersect each other
original equation with the same slope and rewrite it using point slope form:
y-y1=-5/4(x-x1) now Substitute the point(-4,1)
y-1=-5/4(x-(-4))
y-1=-5/4(x+4)
Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:
y-1=-5/4x-5
y=-5/4x-4.
The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.
Answer: y=-5/4x-4.
Step-by-step explanation:
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you
decide to swim 15 minutes longer than she does one day at practice.
Write an equation for the number of minutes you swim, y, when your friend swims 2 number of minutes.
You swim 55 minutes.
How many minutes did your friend swim?
minutes
Answers
Answer:
40 minutes
Step-by-step explanation:
Answer:
Y = X + 15*D
Step-by-step explanation:
Y = Person Swims During Practice
X = Frien Swims During Practice
D = number of Days both Practice
its given that daily 15 minutes longer swim then Friend
Hence
Y = X + 15*D
|4(x-3)|=15
PLS I NEED HELP ASAP
Answers
Answer:
27/4 or negative 3/4
Step-by-step explanation:
find the solution of given expression !!
[tex] \sqrt{36 \times 4} [/tex]
Answers
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \sqrt{36 \times 4} [/tex][tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex][tex]2 \times 3 \times 2[/tex][tex]12[/tex]Therefore, the correct answer is 12
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
PLEASE assist me in this geometry problem !!! Thanks
Answers
Answer:
B=9*5=45m²
P=4+5+3=12m
H=9m
Now
S.A=P*H+2B=12*9+2*45=198m²
V=BH=45*9=405m³
here
B:base area of rectangle
P=perimeter of triangle
H=length of rectangle
S.A=surface area
V=Volume