Answers
Answer:
see below
Step-by-step explanation:
We can use the law of sines
sin 80 sin B
--------------- = -------------
31 14
Using cross products
14 sin 80 = 31 sin B
14/31 sin 80 = sin B
.984807753 = sin B
Taking the inverse sin of each side
sin ^ -1 ( .444751888) = B
26.41 = B
The sum of the angles of a triangle is 180
A+B+C = 180
80 + 26.41 + C =180
106.41 + C = 180
C = 73.59
We can use the law of sines to find c
sin 80 sin 73.59
--------------- = -------------
31 c
c sin 80 = 31 sin 73.59
c = 31 sin 73.59 / sin 80
c = 30.20
AB = 30.20
Related Questions
The gravitational ratio of the moon and the earth is 1:6 .If the weight of an object is 90N in the earth then find the weight of that object in the moon
Answers
Answer:
the weight of that object on earth is 90N
then on moon it will be 90/6 = 15N
Two trains have to travel 300 miles. Train A travels at 50 mph and train B travels at 60 mph. However, Train B leaves 1 hour later. When will the two trains meet?
Answers
Answer:
7 hours
Step-by-step explanation:
They won’t nessciarly pass each other while on the tracks becuase Train B is gonna be done with 300 miles so its at the station, it takes 6 hours for the A to reach that station but train B left an hour earlier so that adds another hour
So 7 hours until the two trains meet
Answer:
At the end of the travilling distance and they will take 6 hours
Step-by-step explanation:
After one hour train A is 50mph far but train B is 0 mph. In 2 hours train A is 100 mph and train B is 60 mph. In 3 hours the distance between them is 30 mph. In 4 hours the distance between them will decrease to 20 mph. In 5 hours will be 10 mph the distance between them. So you can see both trains will meet each other at the end of travilling distance so they will arrived at the same time
Find the slope (if defined) of the line that passes through the given points. (-1, 6) and (5, 5)
Answers
The solution for your question is-1/6
Answer:
- 1/6
Step-by-step explanation:
Use the following equation to calculate slope between two points:
( Y2 - Y1 ) / ( X2 - X1 )
What's Y2? Y1? X2? X1?
( -1, 6 )
-1 = X1
6 = Y1
( 5, 5 )
5 = X2
5 = Y2
So when we plug in those numbers:
5 - 6 = - 1
5 - (-1) = 6
- 1/6
Write down the number of lines of symmetry of this hexagon
Answers
Answer:
a) 1
b) 5
c) isosceles
Step-by-step explanation:
a) 1
b) 5
c) isosceles
Thank you
what is 8:6 simplified
Answers
Answer:
4:3
Step-by-step explanation:
8/2=4
6/2=3
Answer:
its 43, or if your talking about fractions its 4/3
Question
Precious bought 4į gallons of milk for $22. How much is one gallon of milk?
Answers
Answer:
5, remainder 2
Step-by-step explanation:
22 divided by 4 is 5 and remainder 2
divide both sides by 4
j = 5.5
find the ratio of 5m to 11m in simple ways
Answers
Answer:
5m to 11m simplified to a ratio would be 5:11.
Step-by-step explanation:
To calculate ratios, try to think of them as fractions instead.
When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!
As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].
Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].
Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!
Hence, 5m to 11m simplified to a ratio would be 5:11!
Hope this helped!
A Chromebook costs $249.99 at Target. On Black Friday, it is on sale for 15% off. What is the price of the computer on
Black Friday? Please show your work and don’t forget the unit! Please round your answer to the nearest cent.
PLSSSS HELPPPP
Answers
Answer:
249.99-15%=212.49
Step-by-step explanation:
I did this yesterday
Brainliest me pls
Have a nice Day! <3
Answer:
$212.49
Step-by-step explanation:
You would divide 249.99 by 100 then multiply that by 85 becuase that is 15 less than 100 and makes it 15% less
A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).
Answers
Answer:
D
Step-by-step explanation:
points (-4,4) and (0,5)
slope: (y2-y1)/(x2-x1)
(5-4)/(0+4) = 1/4
y intercept given: (0,5)
Greg has $2,571.68 in his bank account and makes automatic monthly rental payments of $321.46 for a car loan. If he stops making deposits to that account, when would the automatic payments make the value of the account zero? Write the equation using m for months that represents this scenario
Answers
Answer:
8 months
Step-by-step explanation:
Given that:
Amount of money present in the bank account = $2,571.68
Automatic monthly rental payments for car loan = $321.46
Any deposits in the bank account are stopped.
To find:
The number of months taken so that the automatic payments make the value of the account as zero?
Solution:
Let the number of months taken to make the value of the account zero = [tex]m[/tex] months
To find the value of [tex]m[/tex], we need to divide the total amount initially present in bank account with the monthly rental payment amount.
Therefore, the equation to find the value of [tex]m[/tex], can be written as:
[tex]m = \dfrac{2571.68}{321.46}[/tex]
On solving the above equation, we get the value as following:
[tex]\bold{m=8}[/tex] months
Step by step how do you solve ratios and proportions?
Answers
Answer:
A proportion is an equality of two ratios.
...
Things to remember
Determine whether the ratio is part to part or part to whole.
Calculate the parts and the whole if needed.
Plug values into the ratio.
Simplify the ratio if needed. Integer-to-integer ratios are preferred.
Ahmed works in a factory his normal rate of pay is £12.00 per hour When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend
Answers
Answer:
Answer is in photo
Solve the question using Triangle Similarity Theorem.
Answers
3x=30
x=10
Which of the following expressions are equivalent to 7.2 ÷ -8.1 ÷ -3.7?
Choose all answers that apply:
A. −7.2÷−8.1÷−3.7
B. −7.2÷8.1÷3.7
C. None of the above
Answers
Step-by-step explanation:
7.2 / (-8.1) / (-3.7) = Positive
A = (-7.2) / (-8.1) / (-3.7) = Negative
B = (-7.2) / (8.1) / (3.7) = Negative
Hence the answer is C, none of the above.
Answer: C
Step-by-step explanation: Khan
please help!
Find x so that a || b
Answers
For number 2 do the same thing as number 1
96 + (6x -30) = 180 degrees
for number 3: (6x - 30) = 84
for number 4: (7x + 5) = 33 degrees
Please helppppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
BH = 16
Step-by-step explanation:
The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.
That means that BH is 2/3 of the length BF.
BH = (2/3)(BF)
BH = (2/3)(24)
BH = 16
What is a equation of a line perpendicular to -x+2=y that intersects the line at (-1.5,3.5)
Answers
Answer:
y= x + 5
Step-by-step explanation:
i took the test
*BRAINIEST & 20 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x = 21
y = 114
Step-by-step explanation:
Here, we are to find the values of x and y
Mathematically;
3x - 15 + 6x + 6 = 180
reason for this is that opposite interior angles are supplementary, they add up to 180
9x-9 = 180
9x = 180 + 9
9x = 189
x = 189/9
x = 21
Also;
3x-15 + y + 18 = 180
Reason for this is that angles on a straight line are supplementary
Recall, x = 21
3(21)-15 + y + 18 = 180
63-15 + y + 18 = 180
y = 180-66
y = 114 degrees
Describe and correct the error made in finding BC in the diagram
Answers
Answer:
AC is not equal to BC
AB=BC
Find the slope and the y-intercept of the graph of y=4x−5.
Answers
Hi!
The equation we're working with is in slope-intercept form:
[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]
Where:
[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]
[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]
Cheers!I hope that helped, have a wonderful rest of your day! :)
The slope of the line is 4 and the y-intercept of the line is -5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,
y = mx + c
y = 4x - 5
Slope m = 4
Y-intercept = -5
Therefore, the slope of the line is 4 and the y-intercept of the line is -5.
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answers
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
A triangle has three vertices located at A(-1, 2), B(-1, 5), and C(-4, 2). List the ordered pairs of the triangle after it has been translated four units to the right, reflected over the x-axis, and then rotated 90oclockwise about the origin.
Answers
Answer:
A’ is (-2,-3)
B’ is (-5,-3)
C’ is (2,0)
Step-by-step explanation:
We have three operations to perform;
a) translate 4 units right
means that we add 4 to the x-coordinate
b) Reflect over x-axis
If we reflect over x-axis;
(x,y) becomes (x,-y)
c) Rotate 90 degrees clockwise
(x,y) becomes (y,-x)
We have the following as the solution;
A( - 1,2)
Add 4 to x-coordinate
(3,2)
Reflect over x-axis
(3,-2)
Rotate 90 degrees clockwise
(-2,-3)
for B (-1,5)
Add 4 to x-coordinate
(3,5)
Reflect over x-axis
(3,-5)
Rotate
(-5,-3)
C; (-4,2)
Add 4 units to x-axis
(0,2)
Reflect
(0,-2)
Rotate
(2.0)
Convert 5,928 milliliters into liters.
Answers
Answer:
5.928 liters
Step-by-step explanation:
about 6 liters
Answer:
5.928
Step-by-step explanation:
1,000 Milliliters = 1 Liter
5,928/1,000 = 5.928
5.928 Liters
the math teacher gives each student a map of the amusement park that use a coordinate plane the meeting locates is at(0,0) on the map each unit is 100 ft the first ride that you want to try is located at the coordinates (0,4) the next one is located at (3,0) if you walk in a straight line from the first ride to the second ride how many feet would you travel
A.300 feet
B.400feet
C.500feet
D.700feet
Answers
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
To find:
The actual distance between first and second ride.
Solution:
Distance formula: Distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get the distance between first ride and second ride in the map is
[tex]d=\sqrt{(3-0)^2+(0-4)^2}[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
So, the distance between first ride and second ride in the map is 5 units.
We have,
1 units = 100 ft
5 units = 500 ft
The actual distance between first and second ride is 500 ft.
Therefore, the correct option is C.
PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)
Answers
Answer:
The answer is y=8/3x-1
Step-by-step explanation:
7-(-1)/3-0
=8/3
y-y=m(x-x¹)
y-7=8/3(x-3)
y-7=8/3x-8
+7 +7
y=8/3x-1
Please explain your answer and show your work
Answers
9514 1404 393
Answer:
A. 6b³
B. 6b +6
C. p = 0.0375(6b³ +b +1)
D. $115.54
Step-by-step explanation:
Given:
3 candles with dimensions b×b×b, b×b×2b, and b×b×3b
with wicks of lengths b+2, 2b+2, 3b+2
wick costs $0.005/cm; wax costs $0.03/cm³
selling price is material cost + 25%
Find:
A. an expression for total volume
B. an expression for total wick length
C. an expression for the purchase price of a set
D. purchase price for a set with base area 64 cm²
Solution:
A. The sum of the volumes of the three candles is ...
v = b³ +2b³ +3b³
v = 6b³
__
B. The sum of the wick lengths is ...
L = (b +2) +(2b +2) +(3b +2)
L = 6b +6
__
C. The selling price is 25% more than the cost of materials so is ...
p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375
p = 0.0375(6b³ +b +1)
__
D. The side of the base is the square root of the base area, so is ...
b = √(64 cm²) = 8 cm
Then the price of a set of candles is ...
p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54
Purchase price for a candle set with a base area of 64 cm² is $115.54.
Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar sign, 10 from each of the subscribers to her website. Last month, the website had 100100100 subscribers. This month, 303030 new members joined the website, and 101010 members cancelled their subscription.
How much money will Kiersten’s online business earn this month?
\$
Answers
Answer:
$1200
Step-by-step explanation:
Given that:
Monthly subscription fee = $10
Last month's subscribers = 100
THIS MONTH:
New subscribers = 30
canceled subscriptions = 10
Hence,
Total number of subscribers this month :
(Last month subscription + new subscriptions - canceled subscriptions)
(100 + 30 - 10) = 120 subscriptions this month
Hence, amount earned this month will be :
(Total subscriptions this month * monthly subscription fee)
120 * $10 = $1200
x/y * 26 = 65
quick!!!
Answers
Step-by-step explanation:
x/y×26=65
26x/y/26=65/26
x/y=65÷26
x/y=2.5
Multiplying in any order results in the same product is called
the
Property. *
Distributive
Associative
Commutative
O Additive Inverse
Answers
Answer:
C) commutative
Step-by-step explanation:
Example: a x b = b x a
You uncle wants the ratio of flowers and vegetables
planted his garden to be 3 flowers: 4 vegetables. He
has space for 91 plants. How many flowers should he
plant?
Answers
Answer:
39 flowers
Step-by-step explanation:
there are 7 parts
1 part is 13
3 parts is 39