Answer:
a). A = -2x² + 200x
b). Widths = 40 feet and 60 feet
Step-by-step explanation:
It is given that length of the fencing material = 200 feet
a). Peg wants to cover the vegetable garden from three sides with the given fencing material.
If length of the garden = l
and width of the garden = x
l + x + x = 200
l + 2x = 200
l = (200 - 2x) feet
Therefore, area of the garden = Length × width
A = [tex](200-2x)\times x[/tex]
A = -2x² + 200x
b). Foe A = 4800 square feet,
4800 = -2x² + 200x
2x² - 200x + 4800 = 0
x² - 100x + 2400 = 0
x² - 60x - 40x + 2400 = 0
x(x - 60) - 40(x - 60) = 0
(x - 60)(x - 40) = 0
x = 40, 60 feet
Therefore, widths of Peg's garden will be 40 feet and 60 feet.
3. Un cubo de madera se pinta y luego se divide en 27 cubitos iguales, de estos nuevos cubos ¿Cuántos tienen pintadas 3 caras? a. 1 cubito b. 12 cubitos c. 8 cubitos d. 10 cubitos
Answer:
c. 8 cubes
Step-by-step explanation:
In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.
The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces
There are 130 people in a sport centre.
76 people use the gym.
60 people use the swimming pool.
32 people use the track.
23 people use the gym and the pool.
8 people use the pool and the track.
20 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answer:
7/130Step-by-step explanation:
Using set notation to answer the question. let:
n(U) be the total people in a sport centre =130
n(G) be number of people that use the gym. = 76
n(P) be number of people that use the swimming pool. = 60
n(T) be number of people that use the track = 32
n(G∩P) be number of people that uses the gym and the pool = 23
n(P∩T) be number of people that uses the pool and the track = 8
n(G∩T) be number of people that uses the gym and the track = 320
n(G∩P∩T) be number of people that uses all three facilities = 6
Using the relationship below;
n(U)= n(GUPUT)+n(GUPUT)'
where n(GUPUT)' is the number of people that doesn't use any facility.
Before we can get that, we need to know n(GUPUT) using the formula;
n(GUPUT) = n(G) + n(P)+n(T)-n(G∩P)-n(P∩T)-n(G∩T)+n(G∩P∩T)
n(GUPUT) = 76+60+32-23-8-20+6
n(GUPUT) = 123
n(GUPUT)' = n(U)- n(GUPUT)
n(GUPUT)' = 130 - 123
n(GUPUT)' = 7
This means that 7 person doesn't use any facility.
Probability that a person selected at random doesn't use any facility = n(GUPUT)' /n(U) = 7/130
Each 6 students reported the number of movies they saw in the past year 18,14,18,14,19,9
Answer:
Average: Add all and divide by 6
that gives us 92/6 = 15.333... or 15
Median: order it:
9, 14, 14, 18, 18, 19
median is 16
2 averages
Median: 16
Average: 15.33.. or 15
Outlier: 9
i’m really struggling someone help me
Answer:
Identity property of addition ( 3 + 5) + 0 = (3 + 5)
Associative Property of Multiplication [ 3(5) ](4) = (3)[ (5)4
Identity Property of Multiplication 5(1) = 5
Associative Property of Addition 3 + (5 + 7) = (3 + 5) + 7
Commutative Property of Addition 3 + 5 = 5 + 3
Step-by-step explanation:
The cost of a service call to fix a washing machine can be expressed by the linear function Y = 45x+35, where y represents th
total cost and x represents the number of hours it takes to fix the machine. What does the y-intercept represent?
Answer: brainliesss plsss
The cost of a service call to fix a washing machine can be expressed
Step-by-step explanation:
The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+35 where y represents the total cost and x represents the number of hours it takes to fix the machine.
Answer:
whats the real answer?
Step-by-step explanation:
What is the area of ABC? Round to the nearest tenth of a square unit
Answer:
A=61.8\ units^2
Step-by-step explanation:
Ive 5 - 6x = 8x + 17.
Answer:
-6/7
Step-by-step explanation:
5-6x=8x+17
-8x -8x
5-14x =17
-5 -5
-14x =12
/-14 /-14
12/-14 = -6/7
need help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3/5
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. In this case, that is 6/10, which can be simplified to 3/5. Hope this helps!
6/10, or 3/5. (sine is opposite/hypotenuse)
Pythagorean theorem plsssss
Step-by-step explanation:
pythagorean theorem states
c²=a²+b² where c is the longest line a is the base while b is the height thus
example
1)c²=a²+b²
12²=a²+8²
144=a²+64.
144-64=a²
80=a² a=√80. =8.9
2)c²=a²+b²
15²=4²+b²
225=16+b²
225-16=b²
209=b² b=√209. =14.45
3)c²=a²+b²
c²=5²+9²
c²=25+81
c²=106. c=√106. =10.295
I hope you have understood I will do the other ones simply
4)26²=18²+a²
676-324=a²
√352=a. a=18.761
5)10²-6²=b²
100-36=b² b²=64. b=8
6)c²=12²+9²
=144+81.
c² =225. c=15
1...
Formula= A=C^2-B^2
A=12^2-8^2
A=144-64
144-64=80
√80 = 8.944
Rounded = 8.9
2...
Formula= A=C^2-B^2
A=15^2-4^2
A= 225-16
225-16=209
√209= 14.456
Rounded= 14.5
3...
Formula= A^2+B^2=C^2
9^2+5^2=C^2
81+25=106
√106= 10.295
Rounded= 10.3
4...
Formula= A^2=C^2-B^2
A^2= 26^2-18^2
A^2=676-324
676-324=352
√352=18.761
Rounded= 18.8
5...
A^2=C^2-B^2
A^2=10^2-9^2
100-91=9
√9=3
6...
Formula= A^2+B^2=C^2
9^2+12^2=C^2
81+144=225
√225=15
Code= 8.9, 14.5, 10.3, 18.8, 3, 15.
20. A certain conditional statement is true. Which of
the following must also be true?
A. converse
B. inverse
C. contrapositive D. all of the above
Answer:
C
Step-by-step explanation:
Which of the following statements about f(x) is true? F(x)=(5/4)^x+1
Answer:
idk
Step-by-step explanation:
i don't see any statements jsjsjsjsjsjs
6= -3 + r
solve for r
Answer:
6=-3+r
r=9
Step-by-step explanation:
Answer:
9=r
Step-by-step explanation:
6=-3+r
+3 = +3
add 3 to both sides
9=r
The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt
Answer:
5 9
----- = ------
750 x
Step-by-step explanation:
Answer:
750 / 5 = c / 9
Step-by-step explanation:
PLEASE HELP QUICKLY!!!!!!!
Penelope and Georgia are each saving money to take a vacation. Penelope started with $710 and saved $25 each week. Georgia opened her account with $570 and saved $45 each week. In how many weeks will they have the same amount of money? Group of answer choices 7 weeks 8 weeks 13 weeks 14 weeks
Answer:
8 weeks
Step-by-step explanation:
Find a. Roud to the nearest tenth:
2cm
15*
a
105*
c
Answer:
So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60
So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a
Then we do recipricol. 2/sin(105) = a/sin(60)
multiply by sin(60) both sides.
2sin(60)/sin(105) = a
round and solve and we get a is equal to
1.7931 or 1.8
-5(x-1) = 40
whats the answer
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
Divide each side by -5
-5(x-1)/-5 = 40/-5
x-1 = -8
Add 1 to each side
x-1+1 = -8+1
x = -7
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
-5x + 5 = 40
5x - 5 = - 40
5x = 5 - 40
5x = - 35
x = -35/5
x = -7
Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =
BC=
∡C=
degrees
Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?
A. 9012 cubic centimeters
B. 9412 cubic centimeters
C. 95 cubic centimeters
D. 9512 cubic centimeters
The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.
To find the volume of a rectangular prism, you can use the formula:
Volume = length (l) * width (w) * height (h)
Given:
l = 412 cm
w = 312 cm
h = 6 cm
Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters
Thus, the volume of the given rectangular prism is 771264 cubic centimeters.
Learn more about volume here:
https://brainly.com/question/31621849
#SPJ12
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?,
A. -12
B. 12
C. -6
D. 6
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
An exponential function has been graphed with certain points marked on it.
To find the average rate of change for this function between the given interval we will use the formula,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{y_2-y_1}[/tex]
where [tex]f(x_2)[/tex] = value of the function at x = 4
[tex]f(x_1)[/tex] = value of the function at x = 2
By substituting these values in the formula,
Average rate of change = [tex]\frac{16-4}{4-2}[/tex]
= [tex]\frac{12}{2}[/tex]
= 6
Therefore, Option D will be the answer.
Solve -3(x-2)<8 or -3(x-2) > 12
Answer:
x = (14/3,6)
Step-by-step explanation:
-3(x-2) < 8
taking negative sign to opposite side relational operator changes.
3(x-2) >8
Similarly
3(x-2)<12
Now
8< 3(x-2) < 12
dividing by 3
8/3 < x-2 < 4
adding 2
8/3 +2 < x < 6
Therefore x = (14/3, 6)
Hope it helps ...
What is the answer please help 3(2+8)
Answer:
30
Step-by-step explanation:
3*10 = 30
Answer:
30
Step-by-step explanation:
PEMDAS says you do (8+2) first, which equals 10, then you multiply 3 by 10, which equals 30.
Find the slope of this graph.
Answer:
WERE THE GRAPH
Step-by-step explanation:
What is the simplified form of this expression?
Answer:
B. -7[tex]x^{2}[/tex] + 3x + 5
Step-by-step explanation:
(-3[tex]x^{2}[/tex] + x + 5) - (4[tex]x^{2}[/tex] - 2x)
-3[tex]x^{2}[/tex] + x + 5 - 4[tex]x^{2}[/tex] - 2x
Combine like terms
-3[tex]x^{2}[/tex] - 4[tex]x^{2}[/tex] = -7[tex]x^{2}[/tex]
x - -2x = x + 2x = 3x
5
-7[tex]x^{2}[/tex] + 3x + 5
I hope this helps :))
The volume of a cuboid is 675cm3. The length is 15cm and the width is 30mm. Work out the height of the cuboid in cm.
Answer:
Step-by-step explanation:
30 mm = 3 cm
[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]
Answer:
h = 15 cm
Step-by-step explanation:
V = l×w×h
h = V/l×w
= 675cm³/15cm×3cm
= 675cm³/45cm²
= 15 cm
i rlly need help with this gr 11 math problem
Answer:
a) [tex]\frac{d-5.50}{0.45}[/tex]
b) The inverse function is a reflection of the original function across the line
y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.
Step-by-step explanation:
To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).
d = 0.45c + 5.50
Then you solve for c
d - 5.50 = 0.45 c
c = (d-5.50)/0.45
You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. What is the width of the frame?
Answer: c) 3.2 inches
Step-by-step explanation:
Let x represent the width of the frame
Then the area of the frame is:
(x + 12)(x + 14) = 261.44
Rewrite it in Standard form of a quadratic equation:
x² + 26x + 168 = 261.44
x² + 26x - 93.44 = 0
Use Quadratic Formula to solve for x:
[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}[/tex]
how to factor 5r^2+10r-240
Answer:
5 ( r+8) (r-6)
Step-by-step explanation:
5r^2+10r-240
First factor out the greatest common factor
5( r^2 +2r - 48)
Now factor what is inside the parentheses
What multiplies to -48 and adds to 2
8*-6 = -48
8-6 = 2
5 ( r+8) (r-6)
Solve -2/3x > 8 or -2/3x -12 or x -6} 3. {x | -12 < x < -6}
The probability of getting a number divisible by 3 is 3/10 using a game spinner.
The denominator of that probability is:
Answer:
B
Step-by-step explanation:
the denominator should be the total amount of outcomes.
System of Linear Equations
through Elimination
Question #1:
Solve the system of equations. Solve for 'x' and 'y' and show your work.
x- y=7
x + y = 5
Answer:
X=6
Y= - 1
Step-by-step explanation:
X-y =7
X+y =5 cross - y and y
_______
X+x =7 +5
2x= 12
X= 12/2
X= 6
Replace X in first equation:
X - y =7
6 - y =7
6 - 7 =y
y = - 1
Hope this helps you.. Good Luck!