A certain field is a rectangle with a perimeter of 858 feet. The length is 187 feet more than the width. Find the width and length of the rectangular field.
Answers
Width:242
I’m 75% sure in my answer
Related Questions
x^2+12x−7=(x+p)^2−q. find the value of p and the value of q
Answers
Answer:
p = 6 , q = 43
Step-by-step explanation:
x² + 12x - 7
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 12x
=x² + 2(6)x + 36 - 36 - 7
= (x + 6)² - 43 ← in the form (x + p)² - q
with p = 6 and q = 43
I need help ASAP thanks!
Answers
The decimal for the first one is 0.4, and the fraction is 2/5.
The second one is also 0.4 and 2/5.
Yes, this means that both of these models are equal to each other. This is because Model 1 is equal to 4/10, while Model 2 is equivalent to 40/100. 4/10 is the same thing as 40/100, though. It's just a little bit more simplified, but the fully simplified answer would be 2/5.
So, therefore, the final answer is that both of these models are equal.
Anyways, I hope that this has helped you.
let C be the curve y=5sqrtx for 1.1
Answers
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Write the fraction 16/28 in simplest form.
Answers
Answer:
1/4
Step-by-step explanation:
Brad bought an MP3 player on sale at a 20%
discount from its regular price of $120. If there
is a 5% sales tax that is calculated on the sale
price, how much did Brad pay?
Answers
Answer:
$100.8
Step-by-step explanation:
Discount=20% of 120 =24
Before tax: BP=120-24=96
After Tax BP=105% of 96=$100.8
24 − 12/x = −89 what is X?
Answers
24-12/x=-89
-24 -24
-12/x=-113
12/113
determine the type of triangle that is drawn below.
scalene right
scalene obtuse
isosceles right
scalene acute
isosceles obtuse
equilateral
isosceles acute
Answers
the correct answer is isosceles acute
Please explain How you got the Answer
Answers
Answer:
The radius is \( 2\sqrt{15} \)
The center is (3, 3)
Step-by-step explanation:
Equation of circle in standard form with center at (h, k) and radius r:
\( (x - h)^2 + (y - k)^2 = r^2 \)
We need to complete the square in x and y.
\( x^2 + y^2 - 6x - 6y = 42 \)
Separate x-terms and y-terms:
\( x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ \)
To complete the square, you square half of the linear term's coefficient.
Linear term in x: -6x
Coefficient: -6
Half of the coefficient: -3
Square half of the coefficient: 9
We need to add 9 to both sides to complete the square in x.
The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.
\( x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 \)
\( (x - 3)^2 + (y - 3)^2 = 60 \)
Now that we have the equation in standard form, we can get the radius and center of the circle.
\( r^2 = 60 \)
\( r = \sqrt{60} \)
\( r = \sqrt{4 \times 15} \)
\( r = 2\sqrt{15} \)
The radius is \( 2\sqrt{15} \)
The center is (3, 3)
What is the base of the triangle if the area is 56 square meters and the height is 7 m?
A. 4 m
B. 8 m
c. 16m
D. 28 m
Answers
Answer:
the answer is b
Step-by-step explanation:
the answer is B 16 m
Given the regular polygon, what is the measure of each numbered angle?
A. m∆ 1 = 12°; m ∆ 2 = 72°
B. m ∆ 1 = 12°; m ∆ 2 = 144°
C. m ∆ 1 = 36°; m ∆ 2 = 72°
D. m ∆ 1 = 36°; m ∆ 2 = 144°
Answers
Step-by-step explanation:
n = 10
m∠1 = 360°/ n
= 360°/10
= 36°
\( 2 × m∠2 = \frac{(n - 2)180}{n} \\ = \frac{(10 - 2)180}{10} \\ = \frac{8 \times 180}{10} \\ = 8 \times 18 \\ 2 × m∠2 = 144° \\ m∠2 = 72° \)
I would correct my answer
#CMIIWAnswer:
C. m∠1 = 36°; m∠2 = 72°-----------------------
Given is a regular decagon.
It has 10 congruent sides and each angle opposite to sides is congruent to ∠1.
To find its measure divide 360° by the number of sides (angles):
m∠1 = 360°/10 = 36°Angle 1 is formed by two diagonals. Since all diagonals are of same length, the triangle formed by the diagonals and a side is isosceles.
It means there are two of ∠2 and one ∠1 in each triangle.
We know the measure of ∠1, now use the triangle sum property to find the measure of ∠2:
2 × m∠2 + m∠1 = 180°2 × m∠2 + 36° = 180°2 × m∠2 = 144°m∠2 = 72°The matching choice is C
Victoria needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 2.25 hours and charged her $70
for parts. The total was $193.75. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answers
Answer:
$55/per hour
Step-by-step explanation:
Let's call the cost of labor per hour "x".
We know that the cost of parts is $70 and the cost of labor is x * 2.25 (since the technician worked for 2.25 hours).
We also know that the total cost is $193.75. So we can set up the equation:
x * 2.25 + $70 = $193.75
To solve for x, we'll first get the x terms on one side of the equation by subtracting $70 from both sides:
x * 2.25 = $193.75 - $70
x * 2.25 = $123.75
Finally, we'll divide both sides by 2.25 to solve for x:
x = $123.75 / 2.25
x = $55/hour
If four people equally share a ½-gallon
container of frozen yogurt, what fraction
of a gallon will each person get?
Answers
Which degenerate conic is formed when a double cone is sliced at the apex by a plane parallel to the base of the cone?
Two lines
Point
Hyperbola
Ellipse
Answers
When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.
What is degenerate conic?A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart.
It is formed by slicing a cone with a plane in a way that produces a special type of conic section.
This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:
If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.
If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.
If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.
If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.
If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.
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Question 1 of 10 Solve - 5 < 4x + 3 <= 7 x > - 2orx <= 1 B. x < - 2orx < 4 O C.-2 and x <= 1 D. x > 2 and x < 4
Answers
For the inequality -5 < 4x + 3 ≤ 7 the combined solution are x < -2 and x ≤ 1.
To solve the inequality -5 < 4x + 3 ≤ 7, we need to consider two separate inequalities:
Solve the inequality -5 < 4x + 3:
-5 < 4x + 3
Subtract 3 from both sides:
-5 - 3 < 4x
-8 < 4x
Divide both sides by 4
-8/4 > x
-2 > x
x < -2.
Now let's solve the inequality 4x + 3 ≤ 7:
4x + 3 ≤ 7
Subtract 3 from both sides:
4x ≤ 7 - 3
4x ≤ 4
Divide both sides by 4:
x ≤ 1
Therefore, the combined solution is x < -2 and x ≤ 1.
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The volume of a rectangular prism is 5,890.625 cm3. If the height is 14.5 cm and the length is 25 cm, what is the value of the width?
Answers
Answer:
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.
Substituting these values into the formula, we get:
5,890.625 = 25w(14.5)
5,890.625 = 362.5w
w = 16.25
Therefore, the width of the rectangular prism is 16.25 cm.
Answer:
It's A
Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25
Change the decimal to fraction form or mixed number form and reduce if possible 73.437
Answers
Answer:
73.437= 74 437/1000
Step-by-step explanation:
73.437 to fraction.
Let's acknowledge the presence of a decimal and how many digit we have after the decimal point.
Actually, the numbers after the decimal point will determine the amount of 10s to be divided with.
What I'm saying is this
73.437= 74 437/1000
In this case, 437 is a prime number
So
73.437= 74 437/1000
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answers
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
Use the distributive property to write an equivalent expression.
3(4x - 8y + 5)
Answers
Answer:
12x - 24y + 15
Step-by-step explanation:
The distributive property multiplies all of the terms by 3.
So:
3(4x) + 3(-8y) + 3(5) =
12x + (-24y) + 15 =
12x - 24y + 15
The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!
Answers
Answer:
The answer is below
Step-by-step explanation:
a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.
Let x be the length of the hypotenuse, using Pythagoras:
x² = 25² + 25²
x² = 1250
x = 35 (to the nearest whole number)
b) Using sine rule:
\(\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)\)
Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.
Drag tiles to complete the statements.
Answers
Answer:
the correct one is d
Step-by-step explanation:
so out 9
Point E is the image of point D across the y-axis.
What is reflection?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's mirror image in the axis or plane of reflection is its image by reflection.
Given that Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.
The coordinates are the reflection of each other across the y-axis on the coordinate plane.
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Factor the expression using the GCF.
100 - 80 =
Plzzzz help ASAP I’m giving 50 points for this Everyone that’s giving me an answer is wrong.
Answers
Answer:
20 !
Step-by-step explanation:
80 + 20 = 100.
An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw
requires a 5% mix of engine oil to gas-that is, the amount of oil should be 5% of the amount of gas. How much engine oil should
be added to a jerry can that contains 3.8 gallons of gas?
(Type a whole number or a decimal)
Answers
Answer:
To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:
0.05 x 3.8 = 0.19
So, 0.19 gallons of engine oil should be added to the jerry can.
What is the complementary angle of CFB
Answers
Step-by-step explanation:
CFB reads as twenty five degrees
complementary angle will add to it to sum 90 degrees = sixty five degrees
angle CFD is sixty five degrees
e. What is the value of 60 tens?
Answers
Answer:
The answer is 600
Step-by-step explanation:
Because 60×10=600.
Answer:
600
Step-by-step explanation:
60*10=600
I might have misunderstood. If I have, please tell me
Express using algebra.
24% of z
Answers
Answer: 0.24z
Step-by-step explanation: If you make 24% a decimal you will get 0.24. Then you make your equation 0.24z or 0.24 x z .
A school increases its intake by 10%. if it starts with 1000 students, how many will it have at the beginning of the fourth year of expansion?
Answers
Answer:
1464 Students
Step-by-step explanation:
10% increase of 1000 = 1100 year 1
10% increase of 1100 = 1210 year 2
10% increase of 1210 = 1331 year 3
10% increase of 1331 = 1464 year 4
Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
A) $15
B) $16
C) $32
D) $80
Please explain how to do it also
Answers
Answer:
B) $16
Step-by-step explanation:
Alright so first you want to take the total amount of money made :
$128
Next you want to find 25% of this number (or 1/4) and subtract it from the total.
So :
128 / 4 = 32
So now we take 128 and subtract 32. (32 = 1/4 or 25% of 128)
128 - 32 = 96
Ken now has $96 left over after spending money on games.
So now that we have this number we need to find 1/6 of it because he took 1/6 of the money after he bought games and put it towards charity.
So :
96 / 6 = 16
16 is equal to 1/6 of his leftover money after games and is the amount the charity received.
B) $16
I hope this helps! :)
If you are confused or have any questions please comment or dm and I would be happy to help.
Also change the pfp FeelsGoodMan
Answer:
B) $16
Step-by-step explanation:
1. First let's find how much he spent on games. Multiply 0.25 to 188. 0.25 x 128 = 32.
2. Now subtract that amount from the original $128. 128 - 32. = 96.
3. Then, multiply 1/6 from 96. 1/6 x 96 = 16. This $16 is the amount the charity will receive.
write the expression
subtract 7 from the product 3 times f
Answers
Answer:
(3f)-7
Step-by-step explanation:
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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