Are the triangles congruent? State why.
Answer:
I think it is Yes, SAS
Step-by-step explanation:
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car shows it can drive 370 miles on 20 gallons of gas. How far could you drive on 65 gallons of gas?
Answer:
1202.5 miles
Step-by-step explanation:
It is given that.
A test of a new car shows it can drive 370 miles on 20 gallons of gas.
We need to find how far you could drive on 65 gallons of gas.
20 gallons of gas = 370 miles
1 gallon = 18.5 miles
For 65 gallons of gas, multiply 65 and 18.5.
65 gallons = 18.5 × 65 miles
= 1202.5 miles
Hence, 1202.5 miles you could drive on 65 gallons of the gas.
PLS HELP DUE AT 11:59 AND I MISSED THE LESSON ON THIS
Answer:
try -14!
Step-by-step explanation:
4x+188=6x+216
x=-14
Answer:
x = -14
Step-by-step explanation:
To start since the angles are congruent then they must be equal to each other, so we start by setting them equal to each other. The equation will be 4x + 188 = 6x + 216
Next we solve for x, subtracting 188 and 6x from each side. The new equation will be
-2x = 28
Then divide both sides by negative 2 to get x = -14.
Here are the prices of some items and the amount of sales tax charged on each in Nevada. row 1 cost of item ($) sales tax ($) row 2 10 0.46 row 3 50 2.30 row 4 5 0.23 What is the sales tax rate in Nevada
Answer:
4.6%
Step-by-step explanation:
Cost of item __ sales tax
10 ___________0.46
50 __________ 2.30
5 ___________ 0.23
To obtain the sales tax % :
Sales tax % * cost of item = amount of sales tax
Let sales tax % = x
Using any of the rows in the table :
x * 10 = 0.46
x = 0.46 / 10
x = 0.046
x = (0.046) * 100% = 4.6%
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos
cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of
$78.50 and sold a total of 87 nachos and sodas combined. Which system of equations
represents this situation?
Answer:
x+y = 87
1.5x+0.5y = 78.5
Step-by-step explanation:
Let x = number of nachos sold and y = number of sodas sold
x+y = 87 because that's the total number of nachos and sodas he sold
1.5x+0.5y = 78.5 because nachos cost $1.50 and sodas cost $0.50 and David made a total of $78.50
Un automóvil lleva una velocidad variable a lo largo de un trayecto de errática de modo que no podemos usar la fórmula v=d/t ni las fórmulas de M.U.A como se puede conocer la velocidad de este automóvil en un instante particular
Answer:
Podemos determinar la velocidad del automóvil mediante diferencias sucesivas tanto en el dominio del tiempo como en el dominio de la posición:
Dominio del tiempo
[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex]
Dominio de la posición
[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex]
Step-by-step explanation:
En este caso, es necesario tener una función que represente a esta en función del tiempo o de la posición si nos basamos en las definiciones diferenciales de aceleración ([tex]a(t)[/tex]), medida en metros por segundo al cuadrado, es:
[tex]a(t) = \frac{dv}{dt}[/tex] (1)
[tex]a(s) = v(t)\cdot \frac{dv}{ds}[/tex] (2)
Donde:
[tex]v(t)[/tex] - Velocidad del automóvil, medida en metros por segundo.
[tex]\frac{dv}{dt}[/tex] - Primera derivada de la velocidad con respecto al tiempo, medida en metros por segundo.
[tex]\frac{dv}{ds}[/tex] - Primera derivada de la velocidad con respecto a la posición, medida en [tex]\frac{1}{s}[/tex].
A continuación, analizamos cada ecuación:
Eq. 1
Procedemos a despejar la diferencial de velocidad e integramos la expresión resultante:
[tex]v_{f}-v_{o} = \int {a(t)} \, dt[/tex] (3)
[tex]v_{f} = v_{o}+\int {a(t)} \, dt[/tex]
Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:
[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex] (3b)
Eq. 2
Procedemos a despejar la velocidad e integramos la expresión resultante:
[tex]\int {v} \, dv = \int {a(t)} \, ds[/tex] (4)
[tex]\frac{1}{2}\cdot v_{f}^{2}-\frac{1}{2}\cdot v_{o}^{2} = \int {a(s)} \, ds[/tex]
[tex]\frac{1}{2}\cdot v_{f}^{2} = \frac{1}{2}\cdot v_{o}^{2}+\int {a(s)} \, ds[/tex]
[tex]v_{f}= \sqrt{v_{o}^{2}+2 \int {a(s)} \, ds }[/tex]
Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:
[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex] (4b)
Hello pls help this is due today and do not comment on anything that is out of the subject.
Answer:
lol
Step-by-step explanation:
hehhehehehhhheeeeehhhee u cant stop me
.........answer this for me plz ill give brainliest
Answer:
I think I donot say it is correct only peridect 4cm*4cm*3cm*8cm=384cm
Answer:
18
Step-by-step explanation:
area of the square-->12
area of the triangle--->6
area of the square + area of the triangle = area of the trapezoid
12+6=area of the trapezoid
18 = area of the trapezoid
On mercury, the distance d (in feet) that an object falls in time t(in seconds) can be modeled by the function f(t)=6t^2. how long would it take an object to fall 54 feet on Mercury. ( plz show the work on how u got the answer)
Answer: t=3.75
Step-by-step explanation:45=6t×2
6t=22.5
t=3.75
The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the function,
f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.
At f(t) = 54 feet
6t² = 54
t² = 54/6 = 9
t = 3 seconds
Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".
For more about the function,
brainly.com/question/23712366
#SPJ2
Find the apothem of a regular pentagon with a side length of 10
Answer:
GGGG
Step-by-step explanation:
GGGGG
Answer:
20
Step-by-step explanation:
PLEASE HELP WILL AWARD BRAINLIEST TO BEST ANSWER!!!
Answer:
MO = 8 units
MP = 4 units
Step-by-step explanation:
[tex] In\: \triangle MOP, \\
\angle P = 90\degree ... (given) \\
\angle M = 60\degree ... (given) \\
\therefore \angle O = 30\degree(3^{rd} \: \angle \: of\: \triangle) \\
Let \huge\purple {MO = x \: units}... (1)\\
\therefore MP = \frac{1}{2} \times MO\\(side\: opposite \: to\: 30\degree) \\\\
\therefore MP = \frac{1}{2} \times x\\\\
\huge\red {\therefore MP = \frac{1}{2} x}.... (2)\\\\
\therefore PO = \frac{\sqrt 3}{2} \times MO\\(side\: opposite \: to\: 60\degree) \\\\
\therefore PO = \frac{\sqrt 3}{2} \times x\\\\
\huge\orange{\therefore PO = \frac{\sqrt 3}{2}x} \\\\
\because MP + PO + MO = P(\triangle MOP) \\\\
\therefore \frac{1}{2} x+\frac{\sqrt 3}{2}x+ x = 12+4\sqrt 3\\\\
\therefore \frac{1}{2} x+x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\
\therefore \frac{3}{2} x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\
\therefore \frac{(3+\sqrt 3)}{2} x= 4(3+\sqrt 3)\\\\
\therefore x = 4(3+\sqrt 3)\times \frac{2}{(3+\sqrt 3)}\\\\
\therefore x = 4\cancel{(3+\sqrt 3)}\times \frac{2}{\cancel {(3+\sqrt 3)}}\\\\
\therefore x = 4\times 2\\\\
\therefore x = 8\\\\
\huge\purple {\boxed{\implies MO = 8}} \: \\ [From\: equation \: (1)]\\\\
\because MP = \frac{1}{2} x \:
\\ [From\: equation \: (2)]\\\\
\therefore MP = \frac{1}{2} \times 8\\\\
\huge\red {\boxed{\therefore MP = 4 \: units}}
[/tex]
Solve the system by substitution y=6x and 7x-8y=-41
Answer:
x = 1
y = 6
Step-by-step explanation:
y = 6x --------------(I)
7x - 8y = -41 ------------(II)
Substitute y =6x in equation (II)
7x - 8*(6x) = -41
7x - 48x = -41 {Combine like terms}
-41x = -41
x = -41/-41
x = 1
Plug in x = 1 in equation (I)
y = 6*1
y = 6
The sum of a rational number and an irrational number is_____number.
rational number or a irrational number
Answer:
The sum of a rational number and an irrational number is irrational number.
please help meee i dont know what i have to do
please help it is due today
Answer:
4 2/5 tons
Step-by-step explanation:
2/5 = 4/10 = .40
4.40 tons > 4.3 tons
5.5.5.5.5.5. in expanded form
Answer:
You can't even do that I'm pretty sure
Step-by-step explanation: Too many decimals points
If you can answer that would be nice, thank you.
What type of angle is shown here?
Answer:
I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.
your aunt and uncle have been visiting at your home. five minutes after they drive away, you realize that they forgot their luggages you happen to know the drive slowly, so you get in your car and drive to catch up with them. Your average speed is 10 miles and hour faster that their average speed, and you catch up with them in 25 minutes. How fast did you drive.
When you catch up, the distance traveled is the same
Distance = rate x time
r = uncle's rate
30 min = 30/60 hr = uncle's time
25 min = 25/60 hr = your time
Uncle's distance = Your distance
(r)(30/60) = (r + 10)(25/60)
(r)(1/2) = (r + 10)(5/12)
r/2 = 5r/12 + 50/12
6r = 5r + 50
r = 50
Uncle's rate = 50 mph
Your rate = 50 + 10 = 60 mph
Mrs. Merriweather removed four strips of wallpaper border from her laundry room. The first piece was 110 centimeters long. The second piece was 1.5 meters long. The third piece was 125 centimeters long, and the fourth piece was 205 centimeters long. What was the total length of the wallpaper border Mrs. Merriweather removed?
Answer:
590 centimeters
Step-by-step explanation:
If there are 30 boys and 20 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
3 to 2, 6 to 4, 18 to 6, etc.
As long as you multiply 3 and 2 by the same number, you will get a correct answer to this problem.
Step-by-step explanation:
boys to girls
30 to 20
3 to 2
Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years?
Answer: 6 × 4^x
Step-by-step explanation:
From the question, we are told that scientists released 6 rabbits into a new habitat in year 0 and that each year, there were four times as many rabbits as the year before.
The number of rabbits there after x years will be:
= 6 × 4^x
For example, let us say we want to calculate the number of rabbits after 2 years.
= 6 × 4^x
= 6 × 4²
= 6 × 16
= 96 rabbits
Find all values of $x$ such that $\sqrt{4x^2} - \sqrt{x^2} = 6$.
9514 1404 393
Answer:
x = -6 or 6
Step-by-step explanation:
The square root is always positive, so the equation simplifies to ...
[tex]\sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}[/tex]
_____
The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.
A plane is flying at an elevation of 1000 feet, directly above a straight highway. Two cars on the highway are on different sides of the plane. The angle of depression to one car is 10 degrees and to the other car is 8 degrees. How far apart are the cars, to the nearest foot
Answer:
Step-by-step explanation:
Luis wants to buy a skateboard that usually sells for $80. All merchandise is discounted 20%.
What is the total cost of the skateboard if Luis has to pay a state sales take of 6%?
Answer: $68.80
Step-by-step explanation: the discount is 14% because it is subtracted from 20% and 0.14 x 80 is 68.80 hope this helps
Classify the special quadrilateral.
Answer: Rhombus
=====================================================
Explanation:
The tickmarks show that all four sides are the same length. Therefore, this figure is a rhombus. It is not a square because the angle would need to be 90 degrees. We can say it is a non-square rhombus, or a rhombus that isn't a square. It is also not a rectangle either because all rectangles have each angle at 90 degrees.
A study by Great Southern Home Insurance revealed that none of the stolen goods were recovered by the homeowners in 80 percent of reported thefts: [ 6 marks] a. During a period in which 200 thefts occurred, what is the probability that no stolen goods were recovered in 170 or more of the robberies? b. During a period in which 299 thefts occurred, what is the probability that no stolen goods were recovered in 150 or more robberies?
Solution :
Given :
n = 200, p = 80% = 0.8, q = 1 - p = 0.2
[tex]$\mu = np$[/tex]
[tex]$= 200 \times 0.8 = 160$[/tex]
[tex]$\sigma= \sqrt{npq}$[/tex]
[tex]$\sigma= \sqrt{200 \times 0.8 \times 0.2}$[/tex]
= 5.6569
a). x = 169.5
∴ [tex]$z = \frac{x- \mu}{\sigma}$[/tex]
[tex]$z = \frac{169.5- 160}{5.6569}$[/tex]
= 1.6794
[tex]$P(x \geq 170) = P(z>1.6794) = 0.0465$[/tex]
Therefore, probability that the stolen goods were not recovered in 170 robberies or more is = 0.0465
b). x= 149.5
[tex]$z = \frac{x- \mu}{\sigma}$[/tex]
[tex]$z = \frac{149.5- 160}{5.6569} = -1.8561$[/tex]
[tex]$P(x \geq 150) = P(z>-1.8561) = 0.9683$[/tex]
Therefore the probability that the stolen goods were not recovered in the 150 or in more robberies is = 0.9683
Can someone please help me answer question 17
Answer:
Concepts: Basic Linear Algebra
X Cartons 1 Carton = 12 eggs Y Carton 1 Carton = 18 eggs72 eggs total Hence 12X + 18Y = 72 To meet your question guidelines: 12X+18Y-72=0HELP PLS QUICK!!!!!!
Put the following in order from smallest to largest
0.2, 1/2 60%
Answer:
From smallest to largest
0.2, 1/2, 60%
Step-by-step explanation:
:)
Answer:
0.2, 1/2, 0.6/60%
Step-by-step explanation:
Write an equation of a line that passes through the point (4, 3) and is perpendicular to the graph of the equation y= -1/3x+4
please help i’ll mark as brainlist but please
Answer:
you have a line with slope = -1/3. A line perpendicular to that has to have slope that's the negative reciprocal, or 3.
So we have a slope and a point. The line in point-slope form is
(y-3) = 3(x-4).
You can convert that to another form if you need to
any more help just ask :)
Name the property that the statement illustrates.
Answer:
Symmetric Property of Congruence
Step-by-step explanation:
Reflexive:
A ~= A
B ~= B
Symmetric:
A ~= B then B ~= A
Transitive:
If A ~= B and B ~= C, then A ~= C