Answer:
The area of real patio is 50m².
Step-by-step explanation:
Given,
Length of patio = 3 cm
Width of patio = 6 cm
According to scale =
3 cm = 5m
1 cm = \frac{5}{3}\ m35 m
6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m
Real length of patio = 5 m
Real width of patio = 10 m
Area = Length*width
\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}
Area=5∗10Area=50 m2
The area of real patio is 50m².
If y= cos x, what x-value corresponds to a y-value of 1/2 between pi and 2 pi
Answer:
pi/3, 5pi/3
Step-by-step explanation:
We can see that when cosine is at 1/2, the angle measures are pi/3 degrees and 5pi/3 degrees. You can use a unit circle to find this. You can also find arccos(1/2), but that will only give you the value pi/3, not 5pi/3.
We can plug these in to find that they are indeed equal to 1/2.
The x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.
Here, we have,
To find the x-value that corresponds to a y-value of 1/2 between π and 2π for the equation y = cos(x), we can use the inverse cosine function (also known as arccosine or cos⁻¹).
The inverse cosine function will give us the angle whose cosine is a specific value.
In this case, we want to find the angle whose cosine is 1/2.
Using the inverse cosine function, we can write the equation as:
x = arccos(1/2)
To solve this equation, we need to evaluate the inverse cosine of 1/2. In general, the inverse cosine of a value returns an angle between 0 and π (180 degrees). In this case, we are interested in finding an angle between π and 2π.
The value of arccos(1/2) is π/3.
Therefore, the x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.
It's important to mention that the cosine function is periodic, so there are multiple x-values that can correspond to a y-value of 1/2. In this case, we have chosen the x-value that lies between π and 2π.
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What is the solution to the system of equations
Answer:
x = 5
y = -4
Step-by-step explanation:
Help help math math math
Answer:
113
Step-by-step explanation:
The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3
180-67=113
Answer:
∠3 measures 113°
Step-by-step explanation:
These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.
∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.
[tex]x+67=180\\x=113[/tex]
∠3 measures 113°
Which graph is generated by this table of values?
PLS HURRY
Answer:
The first graph.
Step-by-step explanation:
You can see on the first graph that all of the y values and x values add up with what you need.
Pls help and show ur work ASAP I’ll add extra points
Answer:
Slope: 7/5 , Y-int: 1/5
Step-by-step explanation:
To find the slope, lets use the points (-3,-4) and (2,3)
The slope formula is (y2-y1)/(x2-x1) so we will plug in the numbers.
(3-(-4))/(2-(-3))=7/5. 7/5 is the slope (you can also do rise over run)
We find the y-int in many ways but i will show two.
We can make an equation in point-slope form. The formula is: y-y1=m(x-x1) and we use the point (-3,-4).
y-(-4)=7/5(x-(-3))
y+4=7/5x+21/5 (then move the 4 to the other side)
y=7/5x+1/5
The 1/5 is our y-int since we now have it in slope intercept form!
The other method we can use is putting it into slope intercept form first and using (-3,-4) to find the missing variable.
Slope intercept form is y=mx+b, let m be slope, b is y int, and (x,y) is our point
-4=(7/5)(-3)+b
-4=-21/5+b (move -15/7 to other side)
1/5=b !
we get the same answer I hope this helps sorry its long
Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers during the 7-hour tour.
If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 3 hours?
please help me please
[tex] \frac{76}{90} [/tex]
-_-
I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!
A. The typical value and the spread are both greater in set B. B. The typical value and the spread are both greater in set A. C. The typical value is greater in set B. The spread is greater in set A. D. The typical value is greater in set A The spread is greater in set B.
Answer:
D. The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
The typical value is greater in set A.
[] We can see that the red arrow already shows this, but the average (add up all the numbers and divide by number or numbers) in set A is greater than in set B as 7 > 6.
The spread is greater in set B.
[] The spread can also be thought of as the range (largest number - smallest number) so the spread is greater than B since 7 > 3.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
find measure of angle A
Joe ran 2 miles in 16 minutes. At this rate how long did it take him to run 5 miles.
Answer:
40min
Step-by-step explanation:
Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.
2 / 2 = 1
16 / 2 = 8.
Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.
Therefore it takes him 40min to run 5 miles.
Hope this helps!
Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone and accessories. Enter your answer in the box.
Answer:
495-75=m m=420
Step-by-step explanation:
He needs to save 495 dollars, and hes already saved 75
and needs to find out how much more he needs to save to have 495 dollars
To do this, take 495 and subtract 75. This is how we get the inequality
495-75=m
From here it is simple, just subtract 75 from 495 to get 420
Find the Value for X,Y and z using Gauss-Jordan Inversion method
2X+3Y=4
X+2Y=2
Answer:
x = 2 y = 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which variable expression represent the word phrase? The sum of 10 and the product of 7 and a number
Answer:
Step-by-step explanation:
y = 7x + 10
slope-intercept form of a linear equation
Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values are integers. What's the domain and range for this graph ?
The domain of the graph is [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].
The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.For the graph, the domain will be the values of the graph along the x-axis.
Domain = [tex]-8<x\leq 9.5[/tex] (Note that -8 is not included)For the range, the interval is given as: [tex]-4\leq x<4[/tex]. Note that the value of 4 is not included since it is opened.Learn more on domain and range here: https://brainly.com/question/1942755
Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Answer:
3 months
a quarter is a period of three months
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?
A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.
C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.
D.
There is not enough information
The equations and the number of hotdogs and sodas sold are: x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
Two equations can be derived from this question:
2.25x + 1.50y = 225.75 equation 1
x + y = 126 equation 2
Where:
x = number of hotdogs sold
y = number of soda sold
In order to determine the value of y, multiply equation 2 by 2.25
2.25x + 2.25y = 283.50 equation 3
Subtract equation 1 from 3
57.75 = 0.75y
y = 77
Substitute for y in equation 2
x + 77 = 126
x = 49
To learn more about simultaneous equations, please check: brainly.com/question/23589883
Answer:
The correct answer is A) x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas
Step-by-step explanation:
hope this helps
Graph
-2(3x+4)(x-1)(x-3)^2
Answer:
Step-by-step explanation:
When rolling a die what is probability of rolling a one
Answer:
1/6
Step-by-step explanation:
6 sides. 1 face with number 1. 1/6
Pre college need help this
A wall map of the United States has a distance of 8.5 in. between Memphis and Denver, two cities that are actually 1040 mi apart. The actual distance between St. Louis and Des Moines is 333 mi. How far apart are St. Louis and Des Moines on the map?
Answer:
2.72 inches
Step-by-step explanation:
1040/8.5=122.35
1 inch on the map = 122.35 miles actual distance
333/122.35=2.72
957.75 + 83.86 the sum is
Answer:
1,041.61
Simply stack the numbers (lining up the decimals) and add right to left.
which is the least per pound 5 pounds of chicken for 9.45,3 pounds for 5.97, or 1 pound for 2.05
5 pounds - 1.89
3 pounds - 1.99
1 pound - 2.05
In this case, the 5 pounds of chicken is the cheapest by exactly one dime.
Find the 53" term of the following arithmetic sequence.
3, 11, 19, 27, ...
Answer:
419
Step-by-step explanation:
a=3
d=11-3=8
[tex]a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419[/tex]
Maybe Audrey waited 6 pounds 14 in ounces at birth convert her weight to ounces
Answer:
110 ounces :))
Step-by-step explanation:
Randy jog 3 1/2 miles in 3/4 hours write a common ratio as miles to hours
Answer:
3.5: 0.75 is the aswee
Step-by-step explanation:
I just turned into improper then decimal
pls give me brainliest
Help: Whats 8-2x=10?
Answer:
x=-1
Step-by-step explanation:
8-2x=10
(8-2x)-8=10-8
-2x=2
-2x/-2=2/-2
x=-1
Kyle runs three and one fourth miles in twenty-two and three fourth minutes. He runs each mile in the same number of minutes. How many minutes does it take Kyle to run a mile?
I will give brainliest to whoever gets the right answer
Answer:
[tex]18[/tex]
Step-by-step explanation:
Step 1: Input the values and solve
[tex]b - 7a[/tex]
[tex](4) - 7(-2)[/tex]
[tex]4 - (-14)[/tex]
[tex]4 + 14[/tex]
[tex]18[/tex]
Answer: [tex]18[/tex]
If G&M Foods issues a $1,000 bond with an interest rate of 3.5 percent and a maturity date of January 1, 2025, G&M is agreeing to pay the bondholder __________ interest each year until January 1, 2025, when it must repay the full $1,000.
G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
Using this formula
Interest=Bond amount× Interest rate
Where:
Bond amount=$1,000
Interest rate=3.5% or 0.035
Let plug in the formula
Interest=$1,000×0.035
Interest=$35 each year
Inconclusion G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
Learn more about interest rate here:https://brainly.com/question/25545513
HELP ME. NO LINKS!! PLEASE
Answer: 99% sure its b
Step-by-step explanation:
