Answer:
70.71m
Step-by-step explanation:
In order to find the diagonal, we can use Pythagiras theorem by splitting the field in half and creating a right angled triangle.
A^2+B^2=C^2
50^2+50^2=C^2
5000=C^2
Square root 5000= 70.71m (2dp)
Hope this helped!
Since there is a barricade placed along the diagonal sq field, let's focus on one side of the triangle.
A pythagoras theorem formula can be used for right angle triangle.
So now we let the barricade be X.
By Pythagoras Theorem,
X² = 50² + 50²
X = sq root (50² +50²)
= 70.711 m ( 5sf)
= 70.7 m ( 3sf)
Therefore, the length of barricade is 70.7 m
A bag contains 8 green, 4 black and 6 yellow marbles. What is the probability of randomly selecting a yellow marble ?
Answer:
Step-by-step explanation:
8 green
Jeff can walk comfortably at 2.25 miles per hour. Find a linear equation that represents the total distance Jeff can walk in t hours, assuming he doesn't take any breaks.
The linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t
How to find a linear equation that represents the total distance Jeff can walk in t hours?The given parameters are
Speed = 2.25 miles per hour
The linear equation that represents the total distance (d) Jeff can walk in t hours is calculated as:
d = Speed * t
This gives
d = 2.25 * t
Evaluate
d = 2.25t
Hence, the linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t
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Solve this inequality : 5x+7x<36
Answer:
x < 3
Step-by-step explanation:
5x+7x<36
12x<36
Divide both sides by 12
x<3
If 5 + 6i is a solution of a quadratic equation with real coefficients, then_______ is also a solution of equation.
Answer:
Step-by-step explanation:
complex roots always occur in pairs and are conjugate of each other.
second root=5-6i
What is 21x+6 solve for x
Answer:
[tex]x = - \frac{2}{7} [/tex]
Step-by-step explanation:
[tex]21x + 6 = 0 \\ 21x = - 6 \\ x = - \frac{2}{7} [/tex]
•you divide both sides by 21 to leave x alone
if f(x)=3x^2-4 and g(x)=5x+1, find fog(4) and gof(4)
x/a + x/b =c,a ne0,b ne0,a ne-b
Answer:
Step-by-step explanation:
[tex]\frac{x}{a} +\frac{x}{b} =c\\a\ne 0,b \ne 0,a \ne -b ~or~a+b \ne 0 \\x(\frac{1}{a} +\frac{1}{b} )=c\\x(\frac{b+a}{ab} )=c\\x=\frac{abc}{a+b}[/tex]
please help!! will make branliest!!
the food is sufficient for 1200 soldiers for 60 days how long the food last for 1000 soldiers
Answer:
It would last for 54 days.
Step-by-step explanation:
After 15 days 200 soldiers leaved.
Soldiers Food for days
1200 ↓ 45
1000 ↑ x (let)
Arrows show the opposite variation to each other
1200 x
1000 = 45
Or, x = 1200×45
1000
= 54 days.
Range of value, solve for x, 2x-15
Answer:
3
Step-by-step explanation:
Set the denominator in
3
x
2
−
2
x
−
15
equal to
0
to find where the expression is undefined.
x
2
−
2
x
−
15
=
0
Solve for
x
.
Tap for more steps...
x
=
5
,
−
3
The domain is all values of
x
that make the expression defined.
Interval Notation:
(
−
∞
,
−
3
)
∪
(
−
3
,
5
)
∪
(
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≠
−
3
,
5
}
If you’re good at algebra could somebody help me please?
Answer:
a). f(0) = 7
b). f([tex]\frac{1}{3}[/tex]) = 6
c). f(-5) = 22
d). x = 9
Step-by-step explanation:
The given function is f(x) = -3x + 7
a). For x = 0
f(0) = -3(0) + 7
= 0 + 7
= 7
b). For x = [tex]\frac{1}{3}[/tex]
f([tex]\frac{1}{3}[/tex]) = [tex](-3)(\frac{1}{3})+7[/tex]
= -1 + 7
= 6
c). For x = (-5)
f(-5) = -3(-5) + 7
= 15 + 7
= 22
d). For f(x) = (-20)
-20 = -3x + 7
3x = 20 + 7
3x = 27
x = 9
Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?
Write your answer as a decimal or a whole number.
Answer:
Step-by-step explanation:
on Saturday time taken to run 1 mile=34.5/3=11.5 min
on Sunday time taken to run 1 mile=28/2.5=280/25=56/5=11.2 min
difference in time taken=11.5-11.2=0.3
he was faster on Sunday by 0.3 min/mi
What is 12.325 + 8.274
Answer:
20.599
Step-by-step explanation:
Answer:
12.325 + 8.274 = 20.599
If AB=3x-1, BC=6x, and AC= 26. Find the value of x.
Answer
let me try but i'm not sure
Step-by-step explanation:
Let's assume AC is a straight line and B is on the line and B is between A and C
AB+BC=AC
3x-1+6x=26
9x=27
x=3
a) Let U = {1,2, ..., 9} be the universal set, and let
A = {1, 2, 3, 4, 5},
C= {5, 6, 7, 8, 9), E= {2,4,6,8},
D= {1,3,5,7,9), F = {1,5,9}.
B = {4, 5, 6, 7},
Find:
ii) (A/E)^c
iii) (BnF) U (CnE)
Answer:
B= {4,5,6,7,} is the answer.
it is difficult ☹️ questions
(5 points)
You randomly pull a rock from a bag of rocks. The bag has 3 pink
rocks, 1 green rock, 4 blue rocks, and 1 black rock.
What is the probability of not drawing a speckled or a yellow rock?
Answer:
100%
Step-by-step explanation:
there are no speckled or yellow rocks so you have a 100% chance of not drawing them
100%
Since there aren't any speckled or yellow rocks it isn't possible to draw them.
Determine the statement that is logically equivalent to this conditional statement. If there is a thunderstorm, the lake floods. A) If the lake does not flood, there is a thunderstorm. B) If the lake floods, then there is not a thunderstorm. C) If there is not a thunderstorm, the lake does not flood. D) If the lake does not flood, then there is not a thunderstorm.
what algebraic expression represents GK?
Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10
The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
What is expression?An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.
How to evaluate expression?The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.
To find the value of expression at x=4 we have to put the value of x=4 in the expression.
at x=4, 3(4+4)(4+1)/(4+2)(4-2)
=(3*8*5)/6*2
=120/12
=10
Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
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Which is the value of this expression when a=5 and k=-2? ?
K
325-2
3a7
75
9
25.
25
19
10 75
Hey there! I'm happy to help!
[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.
In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.
So, we divide 9/25 by 3/5, giving us 3/5.
Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.
Have a wonderful day! :D
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
It is currently 25°C in Greensboro, NC. Use the formula F = $C + 32, where C = Celsius degrees and F =
Fahrenheit degrees, to convert 25°C to Fahrenheit degrees.
0 45.9°F
O 13°F
O 77°F
102.6 F
Submit
Pass
Save and close
Don't know
answer
pe here to search
O
BI
8
a
15
How to get this answer:
Replace C with 25. Then evaluate (use the order of operations PEMDAS)
F = (9/5)*C + 32
F = (9/5)*25 + 32
F = 1.8*25 + 32
F = 45 + 32
F = 77
25 degrees Celsius is equal to 77 degrees Fahrenheit
So it is 77°F in Greensboro, NC.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
We know °F = (9/5)C + 32 converting unit of temparature to farhenhite.
Given, It is currently 25°C in Greensboro, NC.
∴ It is °F = (9/5)×25 + 32.
°F = 45 + 32.
°F = 77.
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The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times should jennifer except to roll a number less than 3
Answer:
20 times
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome / Total possible outcomes
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls)
= (1 / 3) × 60
= 60 / 3
= 20 times
Solve (2^2x+1)-9(2^x)+4=0
x₁ = - 1
x₂ = 2
Step-by-step explanation:2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0
2²ˣₓ2 - 9ₓ2ˣ + 4 = 0
2ˣ = n
2n² - 9n + 4 = 0
2n² - n - 8n + 4 = 0
n(2n - 1) - 4(2n - 1) = 0
(2n - 1)(n -4) = 0
2n - 1 = 0 => n₁ = 1/2
n - 4 = 0 => n₂ = 4
2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1
2ˣ = 4 => 2ˣ = 2² => x₂ = 2
Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2
pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which Inequality could be used to
find b, the number of bowls that can be added to the box?
OA. 4(1.2) + 0.90 <12
OB. 4(1.2 +0.9b) 12
OC. 4(1.2) + 0.96 > 12
OD. 4(1.2 + 0.9b) 12
Answer:
yay ryan is getting rid of his kitchen plates!!!
Step-by-step explanation:
Answer:
I think it's A
Step-by-step explanation:
PLEASE I really need help
a local hamburger shop soda combined order of 497 hamburgers and cheeseburgers on Friday there was 53 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Friday
Answer:
you need a answer I can see 425
The number line represents −412+314. What is the sum?
Answer:
the answer is -98
Step-by-step explanation:
i hope it is write
Answer: The number line represents −4 1/2 +3 1/4.
4*2+1 / 2 =8.5 + 3*4+1 /4 =3.25
-8.5 + 3.25 =-5.25
What is the sum? -5.25
C). -1 1/4
Step-by-step explanation:
Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?
Answer:
D. They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
I guessed and got it right xD
Answer: D
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
According to the video, who is the most common employer for Foresters? lumber companies the government paper companies conservation groups
Answer:
B. The Government
Step-by-step explanation:
Answer:
B is the anwser on egde 2020
Step-by-step explanation:
I'm not too sure on this. I need help ASAP, please and thank you.
Answer:
25
Step-by-step explanation: