Answer:
(a) The strip should be 5ft wide
(b) The strip around the outside field is 10ft wide.
Step-by-step explanation:
Given:
Length of the rectangular field, L= 200 ft
width of the rectangular field, w = 100 ft
Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2
let the width of the strip = x
The strip around the outside field = 2x
If the field is increased by 15.5%
New area of the field = 1.155 x 20000 = 23,100 ft^2
The increase in area of the field = 3,100 ft
3,100 = New area of field - old area of the field
3100 = (200 + 2x)(100 + 2x) - 20000
3100 = 20000 + 400x 200x + 4x^2 - 20000
3100 = 600x + 4x^2
Divide through by 4
775 = 150x + x^2
x^2 + 150x - 775 = 0
Factorize
(x + 155)(x-5) = 0
x = 5 ft
The strip should be 5ft wide.
The strip around the outside field = 2 x 5 ft = 10 ft
Thus, the strip around the outside field is 10ft wide.
Which graph represents an odd function? On a coordinate plane, a function has two curves. The first curve is in quadrants 2 and 3 and has a minimum value of (negative 1, negative 3). The curve intersects the x-axis at (negative 2, 0) and goes to (0, 0). The second curve is in quadrants 1 and 4 and has a minimum value of (1, negative 3). The curve starts at (0, 0) and intercepts the x-axis at (2, 0). On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0). On a coordinate plane, a v-shaped function opens up. The function goes through (0, 2), has a vertex at (2, 0), and goes through (5, 3). On a coordinate plane, a curve has a maximum point at (0.5, 1) and a minimum point at (2, 0). The curve goes through points (0, 0) and (3, 4).
Answer:
On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0)
Step-by-step explanation:
An odd function is symmetrical about the origin. It will satisfy the relation ...
f(-x) = -f(x)
Of the given points, the set that is symmetrical about the origin is found on the 3rd graph:
(-4, 0), (0, 0), (4, 0)
Answer:
B on edge
Step-by-step explanation:
took the test
-3(x+ 2y) + 5(3x - y) + y2 for x = 6 and y= 2.
Answer:
54
Step-by-step explanation:
I will give you brainliest!!!!! Which equation models the total profit y, based on the number of T-shirts sold x?
Answer:
B. y-25=5(x-20)
100 + x = 50 ( find x)
Just subtract 100 - 50 and you get x = 50
Answer:
x = 50
Step-by-step explanation:
100 -50 = 50
50+50=100
Have a wonderful day and stay safe!
Write an integer that represents this scenario:
18-point gain
Answer:
+18
Step-by-step explanation:
A gain is a positive number
+18
Answer:
+18
Step-by-step explanation:
Neg = Drop
Pos = Gain
Gain so +
+18
A park ranger standing in a 146-foot lookout tower sees the beginning of a forest fire. she measures the angle of depression from the tower to the fire to be 12 degrees. Assuming that the ground is horizontal, calculate the distance from the tower to the fire. *Round to the nearest hundredth
their gd7v7gvugvrty
Step-by-step explanation:
7yvtc
George gets a pay rise from £632 per week to £711 per week. What percentage pay rise was he given?
Answer:
12.5%
Step-by-step explanation:
£632 - 100%
£711 - ?%
?%= (711*100)/632 = 112.5%
112.5-100=12.5%
What is the product of ( x + 3) ( x - 4)?
I'm sure its x^2 - x - 12, but I wanted to double-check :D
Answer: x² - x - 12
Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.
First, Outer, Inner, Last.
We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.
So we have x² - 4x + 3x - 12.
Simplifying from here by combing the middle terms, we have x² - x - 12.
Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.
the square root of 7/16
Answer:
[tex] \sqrt{7} [/tex]
over 4
square the top and bottom separately and 16 squared is four but seven can't square. leave the top as seven squared and the bottom as just four
What is 2 with an exponent of -2 equal to?
Answer:
1/4
Step-by-step explanation:
Answer:
[tex] \boxed{\frac{1}{4} } [/tex]
Step-by-step explanation:
[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]
[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]
What is the x-value of the vertex?
f(x)=(x+2)2−1
x-value of the vertex:
Step-by-step explanation:
f(x) = (x+2)(2-1)
= x(2-1)+2(2-1)
= 2x-x + 4-2
= 2x - x + 2
Which of the following could be used as an example of a mass of one kilogram?
A. a grocery sack of apples
B. 10 paperclips
C. a soda cup of water
D. a filled suitcase
Answer:
i would think C
Step-by-step explanation:
PLEASE ANSWR ASAP FOR BRAINLIEST!!!!
Answer:
x = 33
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
x+114+33 = 180
Combine like terms
x+147 = 180
Subtract 147 from each side
x+147-157 = 180-147
x = 33
Answer:
x=33
Step-by-step explanation:
The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.
x+114+33=180
Combine like terms by adding 114 and 33
x+147=180
In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.
x+147=180
147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.
x+147-147=180-147
X=180-147
x=33
x is equal to 33 degrees.
what is the slope.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is the rise over run, so...
It is 3/1 or just 3.
Step-by-step explanation:
Rise/run is slope
(2,1) is a point on the line, and so is (3,4)
what is the point-slope form of a line with slope -3 that contains the point 10, -1
Answer:
C. [tex] y + 1 = -3(x - 10) [/tex]
Step-by-step explanation:
The point-slope equation of a line:
[tex] y - y_1 = m(x - x_1) [/tex]
where m = slope, and the point is (x1, y1).
In this case, the point is (10, -1), so x1 = 10 and y1 = -1.
The slope is -3, so m = -3.
[tex] y - (-1) = -3(x - 10) [/tex]
[tex] y + 1 = -3(x - 10) [/tex]
Factor completely 10x2 + 2x − 8
Step-by-step explanation:
[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]
Answer:
[tex]2(5x-4)(x+1)[/tex]
You can check the answer by re-distributing the 2 and using the foil method :)
A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+325. What is the independent variable and its units? ______ (meters, seconds, meters per second, or seconds per meters) - select the correct units What is the dependent variable and its units? _______ (seconds or meters) - select the correct units
Answer:
see below
Step-by-step explanation:
h(t)=−4.9t2+100t+325.
The independent variable is the one that we change
t which is in seconds
The dependent variable is the result
h(t) which is in meters
Thank you for all your help I need this too ASAP pls
Answer:
A
Step-by-step explanation:
Quadratic equation
Can someone help me please??
Answer:
B.
Step-by-step explanation:
It's just y = 2x because if you look the y is two times the x.
3w + 4u - 6
Simplify
Step-by-step explanation:
There are many different ways to simplify this. It could be
3(w-2)+4u , 2(2u-3)+3w , or something else.
A weather station reports that there is a 40% chance of rain today. What is the probability that it will not rain today?
Answer:
Since the full percentage of something is 100% thats because 1*100 = 100.
So since it has 40% chance of rain what would 100-40 be? Well it would be 60. So the probability that it will not rain is
60%A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?
They are same-side interior angles, so angle 3 measures 50°.
They are alternate interior angles, so angle 3 also measures 130°.
They are corresponding angles, so angle 3 also measures 130°.
They are alternate exterior angles, so angle 3 measures 50°.
Answer:
They are alternate interior angles, so angle 3 also measures 130°.Step-by-step explanation:
Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.
Therefore, the right answer is B.
Given right triangle ABC . To the nearest degree, find the measure of angle B. 20° 43° 47° 70°
Answer:
The answer is "70°"
Step-by-step explanation:
In the given question an attachment file is missing. so, the attachment file and its solution can be defined as follows:
Given:
ABC is the right triangle.
Find B=?
Solution:
[tex]\Rightarrow \sin \theta= \frac{p}{h}\\\\[/tex]
[tex]\Rightarrow \sin B^{\circ}=\frac{AB}{AC}= \frac{4.8}{5.1}\\\\[/tex]
[tex]\Rightarrow \sin B^{\circ}= .941[/tex]
[tex]\Rightarrow B^{\circ}= \sin^{-1} (0.941)\\\\\bold{\sin^{-1} (0.941) = 70.2^{\circ}}\\\\\therefore \ \ \ \ \bold{B^{\circ} = 70^{\circ}}[/tex]
Answer:
70
Step-by-step explanation:
Which words or variables mean OUTPUT? Select all possible answers. help me out
a. domain
b .range
c .x
d .y
e. f(x)
Please help me it is only 1 question please help me I have no idea about this
Answer:
53
Step-by-step explanation:
Answer:
(540 - π60 cm²) or 350cm³(351.5)
Step-by-step explanation:
You'll have to subtract the volume of the rectangular prism with the cylinder.
We know that the prism's volume is V = s*s*h = 6*6*16 = 540 cm²
We also know the cylinder's volume: V = πr²h = π(4/2)²*15 = π*4*15 = π*60
Now the only step remaining is to subtract the volume of the prism with the cylinder: 540 - π*60 cm³
540 - π*60 cm³ is the full answer
350 is the approximate answer (rounded it down from 351.5 to 350cm³)
20 points for who ever get it right someone who knows what they doing please
Answer:
F is greater than 25
F is positive
Step-by-step explanation:
You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.
You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.
Hope this helps!
Simplify
4a x 6a
8a?
Answer:
[tex]=24a^2[/tex]
Step-by-step explanation:
[tex]4a\cdot \:6a=24a^2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:6=24\\=24aa\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\aa=\:a^{1+1}\\=24a^{1+1}\\=24a^2[/tex]
Answer:
Simply multiply across.
since they both have the same base(a),add the powers ie.(1+1)=2.
Hence 4a×6a=24a²
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?
- 30%
- 40%
- 50%
- 60%
Answer:
2/15 = 13 1/3 %
Step-by-step explanation:
eight yellow marbles, nine green marbles, three purple marbles, and five red marbles = 25
P(yellow) = yellow/ total =8/25
Keep
7 yellow marbles, nine green marbles, three purple marbles, and five red marbles = 24
P(red) = red/total =5/24
P(yellow then red) = 8/25 * 5/24 = 1/15
Then we have (red, yellow) =
P(red) = red/ total =5/25 = 1/5
Keep
8 yellow marbles, nine green marbles, three purple marbles, and four red marbles = 24
P(yellow) = yellow/total =8/24 = 1/3
P(red, yellow) = 1/5*1/3 = 1/15
Add them together
1/15 + 1/15 = 2/15 =
Type the integer that makes the following addition sentence true:
+ 83 = 19
Answer:
The answer is: -64
Step-by-step explanation:
To get the answer of -64, you would have to subtract. To subtract you would use this equation: 19 - 83. This would get you -64. To double check your answer, you would add -64 + 19 to make sure your answer is 83.
I would appreciate if you mark me as brainliest! :D
Let f(x) = 4x2 + x + 1 and g(x) = x2 − 2. Find g(f(x)). Show each step of your work.
Answer:
the answer to this question is
[tex]8x^{2} +2x[/tex]
