Answer:
[tex]Flag = 55.90m[/tex]
Step-by-step explanation:
Given
[tex]Length = 50m[/tex]
[tex]Width = 25m[/tex]
Required
Determine the length of the flag
Because the flag crosses through opposite diagonals of the pool. Its length is the length of the diagonal of the pool.
This is calculated using Pythagoras theorem.
[tex]Flag^2 = Length^2 + Width^2[/tex]
Substitute values for Length and Width
[tex]Flag^2 = 50^2 + 25^2[/tex]
[tex]Flag^2 = 2500 + 625[/tex]
[tex]Flag^2 = 3125[/tex]
Take positive square root of both sides
[tex]Flag = \sqrt{3125[/tex]
[tex]Flag = 55.90m[/tex]
Hence, the length of the flag is approximately 55.90m
Solve the system of equations
y equals 5 x plus 4
y equals 7 x plus 6
Answer:
x = -1 , y = -1
Step-by-step explanation:
We have system of equations and are asked to solve them.
We are looking for x and y, since both equations start with y, we can plug one to the other.
y = 5x + 4
y = 7x + 6
5x + 4 = 7x + 6
Now isolate x byitself to get x :
5x + 4 = 7x + 6
Subtract 4 from both sides :
5x = 7x + 2
Subtract 7x from both sides :
-2x = 2
Divide -2 by both sides :
x = -1
Now that we know what x is, we can substitute it into the equations seapraretly.
y = 5(-1) + 4
y = 7(-1) + 4
y = -5 + 4
y = -7 + 6
-5 + 4
-1
-7 + 6
-1
Therefore, both x and y equal -1
Step-by-step explanation:
5x4=20
7×6=42[tex]5 \times 4 = 20[/tex]please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
3
Square root of 29
Square root of 21
7
Answer:
[tex]\sqrt{21}[/tex]
Step-by-step explanation:
Use the pythagorean theoreom, a^2+b^2=c^2.
We know the hypontenuse and one of the sdes
a^2+2^2=5^2
a^2+4=25
subract four from both sides to isolate variable
a^2=21
square root both sides and you have the answer of sq root 21!
Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem
In the slope 5/9, the 5 indicates to
A. Rise 5 units
B. Run 5 units
C. Fall 5 units
hayden and jamie completed 20 math problems together, jamie completed 2 more than twice the number that hayden completed. Let p represent the number of math problems hayden completed. Write an equation that can be used to find the number of math problems that jamie completed.
Answer:
2p+2+p = 20
Step-by-step explanation:
Let p represent the number of Math problems Hayden completed.
Let 2p+2 represent the number of Math problems Jamie completed.
Next, we have to add them together so that the total Math problems they completed will be equal to 20.
Let's solve.
2p+2+p = 203p+2 = 203p = 20-23p = 18p = [tex]\frac{18}{3}[/tex]p = 6Therefore, Hayden completed 6 Math problems.
Next, we have to get how many problems Jamie completed.
Let's solve.
2p+2 = ?2(6)+2 = ?12+2 = ?14Therefore, Jamie completed 14 Math problems.
Let's check.
2p+2+p = 2014+6 = 2020 = 20It's correct!
Help quick plzzzzz Plzzzzzzzzzzzzz
12873t456473892220-209873
y = x ÷ 2 when y is -10
Answer:
The answer is 20.
X = -20
Answer: -20
Step by step explanation:
-10=x÷2
•2 •2
-20=x
Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.
A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)
Answer:
1,2 = 1,negative2
3,6 = 3,negative 6
-1,2 = negative 1, negative 2
-2,-2 = negative2, 2
Step-by-step explanation:
Sorry all i could do was reflect the coordinates across the x-axis.
The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
What is reflection along the x-axis?When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).
Think of holding the x-axis with two fingers and rotating it.
Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis.
∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
learn more about translation here :
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Determine the type of bias involved. In a study of the effectiveness of wearing seat belts, a group of people who had survived car accidents in which they had not worn seat belts reported that seat belts would not have helped them. The type of bias involved in the given information i
Answer:
Non-response bias also known as Participation Bias
Step-by-step explanation:
The type of bias being demonstrated in this scenario is known as Non-response bias also known as Participation Bias. This is happening in this scenario because the individuals being surveyed have gone through the trauma of a car accident and survived it. To them they are stating that seat belts would not have helped since they do not want to believe that they could have done something to prevent their injuries. This causes them to say nothing or provide false information which ultimately ruins the results of the study.
How many 1/3 are in 2 3/4?
Answer: For example, in order to explain why 1/3 + 1/4 = 7/12, we considered the task of dividing 7 apples between 12 boys under the restriction that an apple ... How many halves are in the whole? ... 1 = 3 × 1/3, 2 = 6 × 1/3, 3 = 9 × 1/3, 4 = 12 × 1/3.
Step-by-step explanation:
boom your nice wanna be my friend
5 x 1 3/45 * 1 3/4
What is the answer?
3/4 x 25 please bro and i need to make this longerrrr
Answer:
18.75
Step-by-step explanation:
18.75
sam's mother is twice as old as sam. in 12 years sam will be as old as his mother was 12 years ago, how old is sam and his mother now PLZ HELP NOW
Answer:
Sam will be 24 and his mom U can figure that out
Step-by-step explanation:
Math
Answer:
24
Step-by-step explanation:
`12
Jace measured a line to be 14 inches long. If the actual length of the line is
13.1 inches, then what was the percent error of the measurement, to the
nearest tenth of a percent?
Answer:
6.87022901%
Step-by-step explanation:
He measured 14 out of 13.1 inches. There is a difference of 0.9 inches when u subtract. He miscalculated by 0.9 out of 13.1. In a calculator you divide .9 by 13.1 you get 0.0687022901. Multiply by 100 to get the percent and round it to your desired decimal place.
If these two shapes are similar, what is the measure of the missing length c?
c=__kilometers
Answer:
3
Step-by-step explanation:
6 ÷ 2 = 3
1 × 3 = 3km
I hope this is actually right ^-^
PLEASE HELP ASAP - WILL GIVE BRAINLIEST TO BEST ANSWER
Solve is for solving the answer, and check is for checking your work. Is it alright if anybody could solve it before an hour?
Answer:
1. x = 6 check: 3 * 6 = 18
2. x = -12 check: -12/3 = -4
3. x = 11 check: 11 * 11 = 121
4. y = -4 check: -8 * -4 = 32
Step-by-step explanation:
1. x=6 ( 3×6=18)
2. x = -12 (-12÷3 = -4)
3. x=11 (11×11=121)
4 y=-4 (-8 × -4 = 32)
Becky earned $21,280.08 last year. She earned the same amount each month. To the nearest penny, how much did she earn per month last year?
Ruby bought two chicken wings for $4 what was the cost of the Wings in dollars per wing?
Answer:
the cost per wing is $2
Step-by-step explanation:
A rocket is fired into the air modeling the equation h = -16t2 + 512t + 50, where "t" is the time in seconds and "h" is the
3
height in feet
Select the correct answer.
For which function is f(x) equal to f-1(x)?
A. F(x)=x+6/x-6\
B. F(x)= x+2/x-2
C. f(x) = x+1/x-1
D. f(x) = x+5/x-5
Answer: D
Step-by-step explanation: They are greater than the lengths of the sides of the base.
What is the equivalent distance of 60,000 centimeters in kilometers?
1 m = 100 cm
1 km = 1000 m
Enter your answer in the box.
60,000 cm =
km
Answer: it would be 0.6
Step-by-step explanation: why?, because, you must divided 60,000 by 100,000. To get the kilometer 0.6 I hope this helps :), I also took the test!.
Answer:
0.6
Step-by-step explanation:
the answer above is correct
is 71.08 greater than 71.106
Answer:
no, 71.106 is greater
Step-by-step explanation:
71.08= 71 and 8/100
71.106= 71 and 10/100
71.106's fraction is larger
What kind of sequence is this?
161, 161, 161, 161, ...
arithmetic
geometric
both
neither
Answer:
arithmetic sequence
is my answer
What is the result of adding these two equations? \begin{aligned} 2x+3y &= -5 \\\\ 5x-y &= -12 \end{aligned} 2x+3y 5x−y =−5 =−12
Answer:
[tex]7x+2y = -17[/tex]
Step-by-step explanation:
We have the following equations:
[tex]2x+3y = -5[/tex]
[tex]5x-y = -12[/tex]
If we want to add these equations, we just need to add x-terms, y-terms and independent terms.
[tex](2x+5x)+(3y-y) = -5-12[/tex]
[tex]7x+2y = -17[/tex]
I hope it helps you!
Answer:
7x + 2y = -17
Step-by-step explanation:
khan academy
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
5. In 1971 the cumulative US national debt was $3.9812974445554x1011. In 2014 the cumulative US national debt was $1.782407138073382x1013. Calculate the actual difference. Write your answer in decimal form. (4 pts)
Answer:
12.036549522
Step-by-step explanation:
A horse can run at a top speed of 18 1/5 miles in 1/3 hour. What is the unit rate of the top running speed of a horse in miles per hour?
Answer:
54.6
Step-by-step explanation:
(18⅕ miles)/(⅓ hour) = ((18⅕)×3 miles)/hour = 54.6 miles per hour
The unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.
What is the unit rate?There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.
Speed can be calculated as the ratio of the distance traveled to the time taken by the object.
We have been given that horses can run at a top speed of 18⅕ miles in 1/3 hour.
Therefore, Distance = 18⅕ miles
Speed = 18⅕ miles in 1/3 hour.
Thus, we get;
Unit rate= (18⅕ miles) / (⅓ hour)
Unit rate = ((18⅕)×3 miles)/hour
Unit rate = 54.6 miles per hour
Therefore, the unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.
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graph the line that passes through the point (5,3) and (5,1) and determine the equation of the line
Answer:
Step-by-step explanation:
There is no change in x-coordinate. The line is parallel to y-axis.
Equation of line : x = 5
si un punto está sobre el eje x cual es su valor de la ordenada
Answer:
si un punto esta sobre el eje x cual es su valor de cordenada
Step-by-step explanation:
360
A solution consisting of 95 mg of dopamine in 95 mL of solution is administered at a rate of 30 ml/hr. Complete parts (a) and (b) below.
a. What is the flow rate in mg of dopamine per hour?
mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
Answer:
30 mg
Step-by-step explanation:
Flow rate of dopamine per hour:
Flow rate of dopamine per hour = (95g)*(30ml/hr) / 95ml
Flow rate of dopamine per hour = 30mg
at what value of x, the function 2x^3/3+2x^2-6x+4 is minimum
Answer:
x=1
Step-by-step explanation:
We are given that
[tex]\frac{2x^3}{3}+2x^2-6x+4[/tex]
We have to find the value of x for which function is minimum.
Differentiate w.r.t x
[tex]f'(x)=2x^2+4x-6[/tex]
Substitute f'(x)=0
[tex]2x^2+4x-6=0[/tex]
[tex]x^2+2x-3=0[/tex]
[tex]x^2+3x-x-3=0[/tex]
[tex]x(x+3)-1(x+3)=0[/tex]
[tex](x-1)(x+3)=0[/tex]
[tex]x=1,-3[/tex]
Again, differentiate w.r.t x
[tex]f''(x)=4x+4[/tex]
[tex]f''(1)=4(1)+4=8>0[/tex]
[tex]f''(-3)=4(-3)+4=-8<0[/tex]
Hence, the function is minimum at x=1