Answer:
DC = 30.47 units
KL = 5.34 units
Step-by-step explanation:
Cos 54 * 20 = AD
Sin 54 = BD/20
Sin 54*20 = BD
BD = 0.809*20 = 16.2
Tang 28 = BD/DC
DC = BD/tang 28
DC = 16.2/0.5317
Tan 51 = JL/14
JL = 1.2349 * 14 = 17.29 units
Cos 72 = KL/JL
Cos 72 * 17.29 = KL
cos 72 = 0.309
KL = 0.309 * 17.29 = 5.34 units
solve the system of linear equations 3x-2y=16
6x-4y=32
System of Linear Equations entered :
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
// Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
Infinitely many solutions
Answer:
Step-by-step explanation:
[1] 3x - 2y = 16
[2] 6x - 4y = 32
Solve equation [2] for the variable x
[2] 6x = 4y + 32
[2] x = 2y/3 + 16/3
Plug this in for variable x in equation [1]
[1] 3•(2y/3+16/3) - 2y = 16
[1] 0 = 0 => Infinitely many solutions
-8 + x - 2 - 5x
Plssss
Answer:
-4x-10
Step-by-step explanation:
This is the answer if you are simplifying the expression.
Answer:
− 4 − 8
Step-by-step explanation:
What is the y-coordinate of the solution of the system of equations?
Sy= 3x – 26
2x – y = 19
Enter your answer in the box.
y=
Answer: y=3x−262x−y=19
Step-by-step explanation:
can someone help me with this work problem?
thank you!( ◜‿◝ )♡
adddddddddddddddddddddddddddddddddddddddddddddddddddddd
Jessica is a custodian at Oracle Arena. She waxes 20 square meters of the floor in 3/5 of an hour. She waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?
Juana buys a computer for $785.00. Her local sales tax is 6.85%. How much does Juana pay for the computer, including tax?
Answer:
838.7725
Step-by-step explanation:
what does the slope of jessicas function represent?
tyia
Answer:
The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.
Step-by-step explanation:
So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.
2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
Find the length and the width.
Answer:
length=10inches
width=18inches
Step-by-step explanation:
length=x
width=x+8
perimeter=2l+2b
56=2x+2(x+8)
56=2x+2x+16
56-16=4x
4x=40
x=40/4
x=10
Maria scar' gets 28 miles to the gallon. How many miles is her round trip to work
A television weighs 50 pounds and a microwave
weighs 30 pounds. A TV occupies 4 cubic feet
and microwave occupies 3 cubic feet. A truck is
carrying 1500 pounds of cargo that occupies 138
cubic feet of space. Which system of equations
can be used to find the total number of
televisions, t, and microwaves, m, that are in the
truck?
Answer:
Step-50*t + 30*m = 1500, (1) (pounds)
4*t + 3*m = 138. (2) (cubic feet)
From (2), express 3m = 138 - 4t, and substitute it into (1). You will get
50t + 10*(138-4t) = 1500, or
10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.
From this point, find the number of microwaves on your own.
step by-step explanation:
Which set of ordered pairs (x,y)(x,y) could represent a linear function?
help im not good in math
Answer:
4
Step-by-step explanation:
yeah 4/8 is the answer. yeah-ya
Could you please help me
Thank you x
Answer:
25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145
you are welcome
regards
reedemk
Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Which number line best shows the position of 13?
J3
ht
-4
-3
- 2
-1
0
1
3
2
4
13
-4
-3
- 2
.
-1
0
1
2.
3
4
13
+
1
-3
-2
-4
-1
0
2.
3
4
13
+
3
-4
-3
-1
0
1
2
4
Answer:
It's the first option
Step-by-step explanation:
√3 according to calculator is 1.73205...
And if you check the options given, you'd see that the first option is the closest answer
HELP PLZZ!!!!!
Find x.
Answer:
6.1
Step-by-step explanation:
So you would use tan as u are looking for the opposite and already have the adjacent.
tan(22) x 15 = 6.06 or 6.1
Answer:
x = 6.06
Step-by-step explanation:
tan (22°) = x/15
0.404 = x/15
x = 6.06
Please help me with this homework
Answer:
c
Step-by-step explanation:
S=B+1/2Pl
-b from both sides
s-b=1/2Pl
x2 to both sides
2(S-B)=Pl
divide both sides by l
you get c
A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?
I’ll do 50 points please answer right away !!!!!!!
Answer:
60
Step-by-step explanation:
I hope this helps
The diameter of the cylinder is equal to 59.98 units.
Given the following data:
Volume of cylinder = 33,912 [tex]unit^3[/tex]Height of cylinder = 12 units.To determine the diameter of the cylinder:
First of all, we would find the radius of the circular base of this cylinder.
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Making r the subject of formula, we have:
[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]
Substituting the given parameters into the formula, we have;
[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]
Radius, r = 29.99 units.
For the diameter:
[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]
Diameter = 59.98 units.
Read more: https://brainly.com/question/1908836
To show that triangle RPQ=triangle PSR by SSS, what must be the value of x?
Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.
Solving the inequality, it is found that the correct interpretation of the solution is:
Reina's family can drive 83 more miles before they need to refill the gas tank.
The amount x of miles they can still travel is modeled by the following inequality:
[tex]221 + x \leq 304[/tex]
To solve it, we treat it similarly to an equality, hence:
[tex]x \leq 304 - 221[/tex]
[tex]x \leq 83[/tex]
Hence:
Reina's family can drive 83 more miles before they need to refill the gas tank.
A similar problem is given at https://brainly.com/question/11713066
The answer prior to this is WRONG. The correct answer is "at most 83" miles.
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
im literally on my last braincell please help omg
an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term
Answer:
its going up by 5 every time
Step-by-step explanation:i think that would help i dont know if it was obvious
Simplify the expression.
I NEED HELP PLEASE!!!
Answer:
-27/64p^3
Tell me if you want a step by step. :)
6. Calculate the compound interest on investing $600.00 for 2 years at 7% per year.
Answer:
686.94
Step-by-step explanation:
first year, 42 interest
second year, 44.94 interest
Total=686.94
How do we determine the area of an a rectangle?
Answer:
accept length
accept breadth
Area=length *breadth
we multiply the length of a rectangle by the width of the rectangle.
What is a_50 of the arithmetic sequence 45, 40, 35, 30.
Answer:
5s
Step-by-step explanation:
45-5=40
a shopkeeper sold an article at a gain of 5%.if he had sold it for rs. 16.50 less, he would have lost 5%.find the cost price of the article.
Answer:
m,ouih
-step explanation:
A litter of puppies consists of black puppies and white puppies. A
puppy is randomly selected and removed from the litter. Then another
random selection is made from the remaining puppies.
Event A: The first
selection is a black
puppy.
Event B: The second
selection is a white
puppy.
Is A dependent on B?
We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.
So the situation is:
We have a group of puppies, some are black, some are white.
Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:
n₁ + n₂ = N
Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:
q = n₁/N
Then now we have:
N - 1 puppies in total.n₁ - 1 black puppiesn₂ white puppies.Now for the second selection, event B, the probability of selecting a white puppy is:
P = n₂/(N - 1)
Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.
So clearly event B depends on event A.
Now the question is:
Is A dependent on B?
No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.
If you want to learn more, you can read:
https://brainly.com/question/12138717
what is the answer to
−1+8(−3+9)
Answer:42
Step-by-step explanation:
Jeff decides to ride his bike in the summer, too. At the end of the summer, he has rode his bike for 1,890 minutes. If he rode the same amount every day for 9 weeks, how many minutes did he ride per day? He rode minutes per day.
Answer:
30 minutes
Step-by-step explanation:
9 weeks = 1890 minutes
=> 1 week = 210 minutes
=> 7 days = 210 minutes
=> 1 day = 30 minutes.
Therefore, he rode 30 minutes per day in the summer.
Answer:
30 min / dayStep-by-step explanation:
Riding total = 1890 min
Number of days:
9*7 = 63Daily riding:
1890/63 = 30 minDetermine if y=3⋅2z+12 is linear, quadratic, or exponential.
Answer:
Exponential
Step-by-step explanation:
2z