Answer:9+3x=12x
Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x
Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate the missing attributes of the triangle.
Answer:
A. The length of the third side is approximately 5 feet.
B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
= [tex]6^{2}[/tex] + [tex]3^{2}[/tex] - 2(6 x 3) Cos [tex]60^{o}[/tex]
= 36 + 9 - 36 x 0.5
= 45 - 18
[tex]b^{2}[/tex] = 27
b = [tex]\sqrt{27}[/tex]
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B = [tex]60^{o}[/tex], then let us apply the Sine rule to determined the measure of A.
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
So that,
[tex]\frac{6}{Sin A}[/tex] = [tex]\frac{5.2}{Sin60^{o} }[/tex]
Sin A = [tex]\frac{0.886*6}{5.2}[/tex]
Sin A = 0.99923
A = [tex]Sin^{-1}[/tex] 0.99923
= 87.75
A ≅ [tex]88^{o}[/tex]
Since the sum of angle in a triangle = [tex]180^{o}[/tex].
Then,
A + B + C = [tex]180^{o}[/tex]
[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]
[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]
C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]
= [tex]32^{o}[/tex]
C = [tex]32^{o}[/tex]
Thus,
A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
The _________________________________ is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Answer:
Constant of proportionality
Step-by-step explanation:
There is nothing to explain
I need help I feel like it's right but then again I get confused on these
Answer:
Ye im pretty sure your right
Step-by-step explanation:
On a test that has a normal distribution, a score of 41 falls three standard deviations below the mean, and a score of 73 falls one standard deviation above the mean. Determine the mean of this test.
Answer:
The mean of the test is 65
Step-by-step explanation:
Let the mean be x and SD be y
3 SD BELOW the mean means that we are taking away 3 SD FROM the mean
Mathematically, we have that as;
x - 3y = 41 •••••(i)
73 is 1 SD above mean
Mathematically;
x + y = 73 ••••••••(ii)
So let us solve both equations simultaneously
Simply multiply equation ii by 3 then add to i
x - 3y = 41
3x + 3y =219
4x = 41 + 219
4x = 260
x = 260/4
x = 65
Answer:
its actually 35
Step-by-step explanation:
What is the value of x in the equation 3x - 1/9y = 18, when y = 27?
Answer:
x=7
Step-by-step explanation:
A farm has chickens and horses. All the horses have 4 legs and all the chickens have 2 legs. All together, there are 94 horses and chicken legs on the farm. Complete the table to show some possible combinations of chickens and horses to get 94 total legs.
number of chickens (x) number of horses (y)
35
7
10
19
5
Answer:
bears beets battlestar galactica
Step-by-step explanation:
Answer:
37x 5y
Step-by-step explanation:
37×2= 74 and 5×4 is 20 (74 +20)= 94
The local furniture store pays $110 for a chest
of drawers and sells it with a 40% markup.
What is the selling price of the chest of
drawers?
Answer:
$154
Step-by-step explanation:
Find the selling price by finding the cost with the 40% markup:
Multiply 110 by 1.4:
110(1.4)
= 154
So, the selling price is $154
Answer:lol
Step-by-step explanation:I still don’t know
Which is larger the fraction 8/10 or 0.25
0.25
They are equal
8/10
Answer:
8/10
Explanation:
math
square root of 1.6 and 8.2 and 24 and 26
An auto repair shop took 2.5 hours to fix Jaime’s car. The cost of the parts needed was $93, and the total bill was $248. What did the repair shop charge per hour for labor?
(PLEASE ANSWER!!!)
Answer:
$62 dollars an hour
Step-by-step explanation:
2.5x+93=248
248-93=155
2.5x=155
155/2.5=x
x=$62 dollars an hour
Whats the percent of 550% of 22
Answer:
121
Step-by-step explanation:
Convert 550% into a decimal by moving the decimal point 2 times to the left. 5.5. Then multiply 5.5 x 22 to get 550% of 22.
Tatum exercised for 55 minutes. 10% of that
time was spent warming up. How many
minutes did Tatum spend warming up?
Answer:
5.5 minutes
Step-by-step explanation:
55/10=5.5
5.5 of 55 is 20%
Or 5 minutes and 30 seconds
Solve problem in photo 8th math
. The units sold follows the equation U = 10000 – 2000P. The money from sales is equal to the units sold times the price P of the unit. Write an equation for sales as a function of price.
Given:
The units sold follows the equation
[tex]U = 10000-2000P[/tex]
To find:
An equation for sales as a function of price.
Solution:
Let S represents the sales function.
We know that, the money from sales is equal to the units sold times the price P of the unit.
[tex]S=U\times P[/tex]
[tex]S=(10000-2000P)\times P[/tex]
Using distributive property, we get
[tex]S=10000P-2000P^2[/tex]
Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].
pls help again lolll srry :((
Answer: 9
Step-by-step explanation:
Helppppppppppppppppppp me Write this rate as a unit rate. 7/5 miles 2/3 hour
PLEASE HELP ....ITS DUE TODAY!!
Answer:
B- (-5, -6)
Step-by-step explanation:
By looking on the graph, if you were to reflect this point across the x-axis if will fall under point (-5, -6)
I hope this helps! If not I'm so sorry! Have a lovely day.
Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:The ratio is 1:5
Step-by-step explanation:
Answer:
it is 1:5 because if you divide both sides by 4, you get 1:5
Step-by-step explanation:
What is the y-intercept of the equation?
Answer:
5
Step-by-step explanation:
Y=-3x+5
What is the slope of the line that passes through the points (-2.5) and (1, 4)
Answer:
-2/1
Step-by-step explanation:
hope this helps
Complete the latter: 1, 5, 9, 13.
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
The answer is 17 because We noticed that 5 is 4 more than 1, 9 is 4 more than 5, and 13 is 4 more than 9. They are all a +4 pattern so you just simply add 4 to 13 which is 13 + 4 + 17 So our answer is 17
Sarah has 13 gallons of gas in her car at the beginning of a trip. Every hour Sarah drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. I need A function relating these variables is C(x)=?
(need help kinda quick, pls and thank you!)
Find the equation in slope-intercept form that passes through the points (9, 3) and (19, -17).
Answer:
y=-2x+21
Step-by-step explanation:
use y2-y1/x2-x1 to find the slope so= -17-3/19-9=-20/10=-2
so once you find the slope take one of the points and plug it into the slope-int equation so... if you take (9,3) and take your slope (-2) so it would be: 3=-2(9)+b solve for b to get 21=b as your int. so.. y=-2x+21
Julie is planning to make cupcakes for her school bake sale. There are 285 students, 17 teachers, and 324 parents attending the bake sale. If she decides to make a cupcake for each person, how many cupcakes does she need to make?
Answer:
Step-by-step explanation:
Julie is planning to make cupcakes for her school bake sale. There are 285 students, 17 teachers, and 324 parents attending the bake sale. If she decides to make a cupcake for each person, how many cupcakes does she need to make?
1 cup cake per person
Hence: total number of cupcakes
= 285 + 17 + 324
626 cup cakes
please show work
A car travels 360 miles in 8 hours (with a constant speed). How much time will it take traveling 168 miles?
Answer:
3.7hours
Step-by-step explanation:
Step one:
A car travels 360 miles in 8 hours
the speed is calculated as
speed= distance/time
speed= 360/8
speed= 45mph
Step two:
How much time will it take traveling 168 miles?
having found the speed, which is the rate at which the car is tavelling
time= distance/speed
time= 168/45
time= 3.7hours
Please help, I have nothing good to offer though.
Which inequality is true? 5/6 < -1/3
2 1/3 > 2 1/6
2 < -2 1/3
1 1/4 > 1 1/3
PLEASEE I REALLY NEED HELp Plus 30 coins
Brainlist too
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answers (in order):
I used the Pythagorean Theorem to solve each one:
[tex]h=13[/tex]
[tex]l=9[/tex]
d ≈ 8.0622
l ≈ 6.7082
Hope this helps! :)
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground is the kite flying? Round answers to the nearest tenth place.
Answer:
149.8 feet
Step-by-step explanation:
θ = Angle of elevation = 33°
The length of string Jaden lets out = Hypotenuse = 275 feet.
How high above the ground that the kite is flying = Opposite Side.
We are solving this question using the Trigonometric function of Sine
Sin θ = Opposite Side/Hypotenuse
Sin 33 = Opposite/275 feet
Cross Multiply
Sin 33 × 275 feet = Opposite
Opposite side(Height ) = 149.77573463 feet
Approximately to the nearest tenth = 149.8 feet
I need help please #22
Answer:
8 because u need to divide 40 by 5