Answer:
d = 5.4
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
a = 2
b = 5
2^2 + 5^2 = c^2
4 + 25 = c^2
29 = c^2
c = 5.4
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Using pythagorean theorem you will get 5 squared plus 2 squared equals c squared. Which is 25+4= 29 = c squared. That's the answer it wont simplify any further.
Solve the equation for x, and enter your answer below.
10x - 15x + 5= -45 + 40
Answer: x = 2
Step-by-step explanation:
[tex]10x - 15x + 5= -45 + 40[/tex]
subtract 5
[tex]10x - 15x= -45 + 40-5[/tex]
Combine like terms;
[tex]-5x=-10[/tex]
Divide by -5
[tex]x=\frac{-10}{-5}\\ x=2[/tex]
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]
Calculate the area of this figure below
Answer: [tex]96ft^2[/tex]
Step-by-step explanation:
We have a composite figure. We have a rectangle and a triangle. Calculate each of these figures' areas individually and add them together.
Rectangle:
length=10ft
width=8ft
[tex]Formula:A=l*w\\A=(10ft)(8ft)\\A=80ft^2[/tex]
----------------------------------------------------------
Triangle:
base: 4ft
height: 8ft
[tex]A=\frac{hb}{2}[/tex]
[tex]A=\frac{(8ft)(4ft)}{2}[/tex]
[tex]A=\frac{32ft^2}{2}[/tex]
[tex]A=16ft^2[/tex]
-------------------------------------------------------------
Add them:
[tex]80ft^2+16ft^2=96ft^2[/tex]
What is the most common number that will appear when you roll a 2 dice?
Answer:
7 is the most common roll with two six-s
( I hope this helped <3 )
Answer:
7/8
Step-by-step explanation:
I think the most common are 7/8.
The price of a car was decreased by 16% to £2400. What was the price before the decrease?
Give your answer to the nearest penny.
Answer:
£2857.14
Step-by-step explanation:
The price after the decrease is 84% of the original price, so we have ...
£2400 = 0.84 · (original price)
£2400/0.84 = original price ≈ £2857.14
x^2+y=3
x^2-y=5
solve by using substitution
show work please
Answer:
x = 2
y = -1
Step-by-step explanation:
x² + y = 3 --------------------(i)
x² = 3 - y
x² - y = 5 ---------------------(ii)
substitute x² = 3 - y in equation (ii)
x² - y = 5
3 - y -y = 5 {Add like terms}
3 - 2y = 5 {Subtract 3 from both sides}
3 - 2y -3 = 5 - 3
-2y = 2 {divide both sides by -2}
-2y/-2 = 2/-2
y = -1
Substitute the value of y in equation (i)
x² + y = 3
x² - 1= 3 {Add 1 to both sides}
x² - 1 + 1 = 3+ 1
x² = 4
x = √4
x = 2
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A. y = 3x
B. y = x
C. y = 2x
D. y = -1/3x
E. y = -3x
F. y = 1/3x
5(2k-3)+17 helppppppppp i need it simplified
Answer:
2(5k + 1)
Step-by-step explanation:
5(2k - 3) + 17 =
10k - 15 + 17
10k + 17 - 15
10k + 2
2(5k + 1)
-4x = -1/2(10x + 18)
Answer:
x = -9
Step-by-step explanation:
-4x = -1/2(10x + 18)
Distribute
-4x= - 5x -9
Add 5x to each side
-4x+5x = -5x+5x -9
x = -9
hi!! <3 i attached a picture of a easy trigonometry question can you please help if you don’t mind <33
Answer:
Side AB has a length of 4, and side BC has a length of 11.7
The price of a shirt was marked up from $24 to $30What is the percent of increase?
Answer:
25% increase
Step-by-step explanation:
First take the new price and subtract the original price
30-24 = 6
Divide by the original price
6/24 = 1/4 = .25
Change to percent form
25%
The price went up so it is an increase
25% increase
Answ believe 25%er:
Step-by-step explanation:
Find the surface area.
Any help will be appreciated thank you
Answer:
Find the area of the shape
First the two triangles
3 x 4 = 12 so the area of both triangles is twelve
Now it is only 1 big rectangle left
The side lengths can be added 3 + 4 + 5 = 12
12 x 11 = 132
132+12=144
144 is the surface area/area
If you have any questions please ask
Step-by-step explanation:
In the past twenty years, scientists have seen the sea level rise at a rate of approximately 0.13 inches per year. If this rate continues, which best represents the change in sea level over the next 27 months (2.25 years)?
Answer:
The change in the sea level will be by 0.2925 inches
Step-by-step explanation:
First of all , we will need to write out the rate at which the sea level is rising. This is 0.13 inches, per year. This means that every year, the sea level increases by 0.13 inches.
Since the sea level increases by 0.13 inches every year, in 2.25 years, to get the sea level, we will have to multiply the current rate at which it is rising by that duration of time.
This will be 2.25 years X 0.13 inches/ year = 0.2925 inches
Therefore, the change in the sea level will be by 0.2925 inches
Answer:
0.2925 inches
Step-by-step explanation:
Which best describes the transformation that occurs from
the graph of f(x) = x2 to g(x) = (x - 2)²+ 3?
Answer:
The graph changes from the original position to right 3 units and down 1 unit.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Emma Punch with 3/4 gallons of pineapple juice 1 1/2 gallons of orange juice and 7/8 gallons of apple juice how much gallons of Ginger ale does she need to add to make the total of 4 gallons of punch
Answer:
7/8 gallons of Ginger aleStep-by-step explanation:
Total gallons of punch mixture = gallons of pineapple juice + orange juice + gallons of apple juice + gallons of Ginger ale
Given gallons of pineapple juice = 3/4 gallons
Orange juice = 1 1/2 gallons
Gallons of apple juice = 7/8
Total gallons of punch = 4 gallons
On substituting into the formula above:
4 = [tex]\frac{3}{4} +\frac{3}{2}+\frac{7}{8}+Gallons\ of\ ginger\ ale[/tex]
[tex]4=\frac{6+12+7}{8} + Gallons\ of\ ginger\ ale[/tex]]
gallons of ginger ale = [tex]4-\frac{25}{8}[/tex]
gallons ginger ale = [tex]\frac{7}{8}[/tex]
She needs 7/8 gallons of Ginger ale to make the total of 4 gallons of punch
Answer:
Emma would need 7/8 gallons of Ginger Ale to make the total of 4 gallons of punch.
Step-by-step explanation:
In the question, Emma used different quantities of juice to make a punch. To find the remainder, needed to make 4 gallons, we sum up the given quantities, and subtract it from the expected amount.
The summation of the given quantities of juice is as follows;
3/4 + 1 1/2 +7/8 = 25/8
We no subtract the quantity we already have from the expected amount, which is 4 gallons, thus;
4 - 25/8 = 7/8 gallons of Ginger Ale.
To confirm the answer, we sum up all the given quantities. Therefore;
3/4 + 1 1/2 + 7/8 + 7/8 = 4 gallons of punch.
Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
What percent of students in the sample were male?
Round your answer to the nearest percent.
Answer:
14/50 or 28%
Step-by-step explanation:
THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.
EZPZ
how many days are in a year. ALSO ANSWER MY OTHER MATH QUESTION PLEASE!
Answer:
365 1/4 days
Also I haven't seen your other question
Answer:
365, 366 every 4 years. 366 on 2020, 2024, 2028, 2032, 2036, 2040 and so on
A hockey team has a 75% chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games.
A) Design a simulation for this event,
B) what counts as a successful outcome?
C) Estimate the probability using your simulation.
Can anyone help me? I’m kind of confused on this problem
Answer:
C. Estimate the probability using your simulation.
Step-by-step explanation:
I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
y = 2 - 2
y = 3x +4
Is (4, 2) a solution of the system?
Choose 1 answer:
А)
Yes
B
No
Answer:
B. No
Step-by-step explanation:
In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.
One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:
y =? 3x + 4
2 =? 3 * 4 + 4
2 =? 12 + 4
2 ≠ 16
Thus, we know that (4, 2) is not a solution and the answer is B.
~ an aesthetics lover
when the value of the slope gets bigger the graph line gets
Answer:
when the value of the slope gets bigger, the graph of a line gets steeper
Step-by-step explanation:
Julieta wants to attend a 4-year private university that costs $40,000 per year for tuition. Her parents plan to contribute a quarter of her tuition each year. If she received financial aid that covers 25% of her tuition, in addition to a scholarship for $5,000. How much money will Julieta need to save each year over the next 3 years before her first year?
Answer:
$5,000
Step-by-step explanation:
First, you have to determine the total amount of money she needs to save to cover the cost of the tuition by subtracting the financial aid, the scholarship and the amount her parents plan to contribute from the total cost of the tuition:
40,000-(40,000/4)-(40,000*25%)-5,000
40,000-10,000-10,000-5,000
40,000-25,000= 15,000
She needs to save a total amount of 15,000. Then, you need to divide this amount by 3:
15,000/3= $5,000
Julieta will need to save $5,000 each year over the next 3 years before her first year.
I cant fail please help
pls help i feel like im doing it right but i wanna make sure
Answer:
-43
Step-by-step explanation:
1. -3 x -3 x -3 = -27
2. -27- 4 x 4
3. -27- 16 = -43
what is exponential decay
Answer:
Exponential decay is the decrease in a quantity according to the law. (1) for a parameter and constant (known as the decay constant), where is the exponential function and is the initial value.
Answer:
When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.
Step-by-step explanation:
Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the first equation be multiplied by to eliminate the x-variable by addition?
Answer:
The first equation must be multiplied by -5 to eliminate x variable by addition
Step-by-step explanation:
4 x - 3 y = 1 (1)
5 x + 4 y = 9 (2)
If the second equation is multiplied by 4
5x+4y=9. ×4
We have,
20x+16y=36 (3)
The first equation should be multiplied by -5 to eliminate x variable by addition
4x-3y=1 × -5
We have
-20x+15y=-5 (4)
Add equation (3) and (4) to eliminate x variable
20x+16y=36
-20x+15y=-5
31y=31
Divide both sides by 31
y=1
Substitute y=1 into equation (1)
4 x - 3 y = 1
4x-3(1)=1
4x-3=1
4x=1+3
4x=4
Divide both sides by 4
x=1
Answer:
To eliminate x
We multiply Equation 1 by -5
The results are
X = 1
Y= 1
Step-by-step explanation:
4 x - 3 y = 1. .............Equation 1
5 x + 4 y = 9........... Equation 2
If equation 2 is multiplied by 4
4*(5x + 4y = 9)
20x + 16y = 36...... Equation 3
To eliminate x
We multiply Equation 1 by -5
-5*(4 x - 3 y = 1. )
-20x +15y = -5 ..... Equation 4
So we add Equation 3 and Equation 4
31y = 31
Y = 1
Substitute y into Equation 1
4x = 4
X = 1
Natalie is out for a run. She decides to run a park in town. The length of sides of the park are 15 feet, 1o feet, 12 feet and 14 feet. How many feet will natalie run?
Answer:
51 feet
Step-by-step explanation:
To find how many feet will Natalie run, we just need to sum the four sides of the park that she will run:
Total distance = 15 + 10 + 12 + 14 = 51 feet
So if Natalie runs the sides of the park, she will run a total of 51 feet.
This value is also the perimeter of the park, that is, the sum of all 4 sides of the park.
Given the fractions 8/15 and 18/35, find the largest number that these fractions can be divided by, so that the quotient will be a whole number.
Answer:
Therefore the largest number that these fractions can be divided by to give them a whole number is
a) 8/15 = The largest number is 8/15
b) 18/35 = The largest number is 18/35
Step-by-step explanation:
A quotient is the result obtained by dividing two numbers.
So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.
Let's assume the whole number is 1
a. 8/15
8/15 ÷ x = 1
8/15 × 1/x = 1
8/15x = 1
We would cross multiply
8 = 15x
We would divide both sides by 15
8/ 15 = x
Hence the largest number that would divide 8/15 and give it a whole number = 8/15
b) 18/35
18/35÷ x = 1
18/35 × 1/x = 1
18/35x = 1
We would cross multiply
18 = 35x
We would divide both sides by 35
18/ 315 = x
Hence the largest number that would divide 18/35 and give it a whole number = 18/35
Answer:
The answer is 2/105
Step-by-step explanation:
first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.
Now, put the GCF you found over the LCM.
ANSWER: 2/105
This fraction is the largest number you can divide both numbers by to get a whole number.
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Answer:
8
Step-by-step explanation:
7*4=28
2*4=8
Answer:
c=8
Step-by-step explanation:
Using cross. multiplication
multiply 2 by 28 2x28=56
Multiple c by 7 cx7=7c
divide both sides by 7
c=8
1. The speed of a motorcycle increases from 10 km/hr to 50 km/hr in 9
seconds. What is its acceleration?*
Answer:
The acceleration is 4.4 km/sec/sec
Step-by-step explanation:
Acceleration of motorcycle is 4.44 km/sec²
Given that;Starting velocity = 10 km/hr
Final velocity = 50 km/hr
Time taken = 9 second
Find:Acceleration of motorcycle
Computation:Acceleration of motorcycle = [Final velocity - Initial velocity] / Time taken
Acceleration of motorcycle = [50 - 10] / 9
Acceleration of motorcycle = [40] / 9
Acceleration of motorcycle = 4.44 km/sec²
Learn more:https://brainly.com/question/12550364?referrer=searchResults
Find the value of "Y" if;
Y-3 [4-2Y] = 16
Answer:
y=4
Step-by-step explanation:
hello :
Y-3 (4-2Y) = 16
y-12+6y = 16
7y-12=16
so :7y =12+16
7y=28
y=28/7 =4