Answer:
(a)The missing measurements are 9 feet and [tex]16\frac{1}{4}$ feet[/tex].
(b)Therefore, the length of the fence is [tex]97\frac{1}{2}$ feet[/tex]
Step-by-step explanation:
The diagram of the yard is attached below.
(a)I have labeled the missing dimensions of the yard as x and y.
Therefore:
[tex]y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet[/tex]
Similarly:
[tex]x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet[/tex]
The missing measurements are 9 feet and [tex]16\frac{1}{4}$ feet[/tex].
(b)Length of the Fence
The fence is rectangular shaped with:
Length = [tex]31\frac{1}{2}$ feet[/tex]
Width = [tex]17 \frac{1}{4}$ feet[/tex]
Perimeter of a Rectangle = 2(L+W)
Therefore, the length of the fence
[tex]=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet[/tex]
Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1
Answer:
(1+2)3
Step-by-step explanation: it equals 9 the the other expressions equal 8 0 and 6 so option one is the greatest value.
Julie and her classmates are holding a car wash to raise money for a trip to England next summer. During the first 32 minutes, they have washed a total of 5 cars. If the class continues to wash cars at this rate, about how many will they have washed after 8 hours?
Answer:
75 cars
Step-by-step explanation:
Convert the 8 hours into minutes, 480.
Divide by the 32 minutes, 15.
Multiply by the number of cars in 32 minutes, 5.
Answer is 75.
Answer:
75 cars.
Step-by-step explanation:
Let's use a ratio to solve:
minutes : cars
32 : 5
160 : 25
320 : 50
480 : 75
Since 480 minutes is 8 hours, and they get 75 cars washed in 480 minutes, then they have washed 75 cars in 8 hours.
Will mark brainliest! Would also really appreciate it if someone could explain it as well!
[tex]2 sin^{2} (x) \geq sin(x)[/tex]
Answer:
sin (x) ≥ 0, between 0° and 180° or 0 and π,
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6
Step-by-step explanation:
This is how I would do it. Subtract sin(x) from both sides
2[tex]sin^{2} (x)[/tex] - sin(x) ≥ 0 , then factor out sin(x)
sin(x) [2 sin(x) - 1] ≥0, then set each factor ≥ 0
sin(x) ≥ 0 and 2 sin(x) - 1 ≥ 0
sin (x) ≥ 0, between 0° and 180° or 0 and π
2 sin(x) ≥ 1
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6
What is the equation of the line that is perpendicular to and
has the same y-intercept as the given line?
O y=x+1
Oy=x+5
O y = 5x + 1
O y = 5x + 5
Answer:
y=5x+1 (this may be correct but I can't guarantee because you haven't provided graph)
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(0,1) and (5,0)
m=(0-1)/(5-0)
m=-1/5
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
m1*m2=-1
m1=-1/5
substitute
(-1/5)*m2=-1
m2=5
step 3
Find the equation of the line with slope m=5 and y-intercept (0,1)
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=5
b=1
substitute
y=5x+1
please mark me brainliest!
Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2
If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.
Which graph do we get when the leading coefficient is negative?Here we start with the polynomial:
[tex]f(x) = 2x^4 + 2x + 2[/tex]
The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.
Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).
The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.
If you want to learn more about polynomials:
https://brainly.com/question/4142886
#SPJ2
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answer:
Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
Step-by-step explanation:
Sorry ignore this
Answer:
Boys : Girls = 5 : 7
Jeff should find the number of girls at first.
Step-by-step explanation:
Boys - 10
Girls - 24 - 10 = 14
Boys : Girls = 10 : 14
Boys : Girls = 5 : 7
Jeff did not find the number of girls, he took the number of all students instead.
plse ans anyone plse
Step-by-step explanation:
(a+b)^3=a^3+b^3+ab^3
(a+b)^3=a^3+b^3=>(-1)^3=-1
Need help with 8-10 didn’t understand this
Answer:
8 is -5
9 is (-2,3)
10 is -10
Which line segment is only a chord of F?
Answer:
line AB is a chordStep-by-step explanation:
Any line that segments a circle and joins two points at the circumference of a circle is called a chord.
line AB is a chord
While
line EC is a diameter
line DF is a radius
Answer:
Correct Answer should be AB
Step-by-step explanation:
I toke the quiz so I know its correct
What are the collinear points on line l ?
Answer:
Points A, F, and G are three collinear points on line l
Step-by-step explanation:
hope this helps you A,F,G, are the three collinear points on line l :)
Fruchter Corporation keeps careful track of the time required to fill orders. The times, recorded for a particular order are shown. What was the throughput time?
Answer:
11.0 hours
Step-by-step explanation:
The times, recorded for a particular order are shown below:
Move time 2.7 hours
Wait time 26.4 hours
Queue time 6.4 hours
Process time 1.8 hours
Inspection time 0.1 hours
Throughput time is also known as cycle time/ manufacturing throughput time, it is the time needed to produce an item. It is the time taken for the item/product to be converted from a raw material into a product ready for use. The throughput time is the sum of the move time, queue time, process time and inspection time.
Throughput time = move time + queue time + process time + inspection time.
Throughput time = 2.7 hrs + 6.4 hrs + 1.8 hrs + 0.1 hrs = 11 hrs
Help me.............Please, i am not good at maths, brainliest will be given, THANK YOU!!!!!
Answer:
2.5 cm
Step-by-step explanation:
The volume of the prism is the area of the cross-section times the length.
The area of the cross-section is the area of a triangle.
4h×1/2×7 = 35
Multiply and solve for h.
14h = 35
Divide both sides with 14.
h = 35/14
h = 5/2
h = 2.5
2.5cm
and here welcome friend card
Evaluate 2^-4 pleaseee help asap
Answer:
1/16
Step-by-step explanation:
2^-4
We know that a^ -b = 1/ a^b
2^-4 = 1/2^4
2^4 =16
so 1/2^4 = 1/16
Answer:
2 ^-4 = 1/16
Step-by-step explanation:
2^-4 = 1/2^4
2^4 =16
so 1/2^4 = 1/16
Please help thank you
Step-by-step explanation:
Y = 3x + 2
Putting value of y in equation 2
x + 12 = 3x + 2
12 - 2 = 3x - x
10 = 2x
10/2 = x
5 = x
Putting value of x in equation 1
Y = x + 12
Y = 5 + 12
Y = 17
Option D is the correct answer
xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distance of the ship from y and the distance of the ship from x?
Answer:
I) |xz| ≈ 28.6 km
II) |yz| ≈ 34.8 km
Step-by-step explanation:
Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)
|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°
Using Trigonometric ratio - SOHCAHTOA
I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20
|xz| = 20 * Tan 55 = 20 * 1.428
|xz| = 28.56 km
|xz| ≈ 28.6 km
II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|
|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°
|yz| = 20 ÷ 0.574 = 34.84 km
|yz| ≈ 34.8 km
Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
can i get help for this please
Answer:
65 units^2Step-by-step explanation:
[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]
Answer:
60
Step-by-step explanation:
Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.
Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.
Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)
Answer:
the answer is (4 + 21)(3-51) = (3-51)(4+ 21)
The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).
What is Commutative Property?The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.
According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.
Let A and B be the two integers, then;
A × B = B × A
As, we know commutative Property supports multiplication and Addition.
First, (4 + 21) = (21 + 4)
This is Commutative Property of Addition.
Second, (4 + 21)(3-51) = (3-51)(4 + 21)
This is Commutative Property of Multiplication
Third, (4 + 21(3-51) = (4 + 21)(3-51(1)
No property can be applied.
Fourth, (4 + 21) = (4 + 21 + 0)
This is expansion.
Learn more about Commutative Property here:
https://brainly.com/question/778086
#SPJ7
does anyone know the answer to this? If so can u please help me.
Answer:
[tex] m\angle M = 90\degree\\
m\angle L = 24\degree[/tex]
Step-by-step explanation:
LM is tangent to the circle at point M and NM is radius.
[tex] \therefore NM\perp LM.. (radius \perp tangent) \\
\huge\orange {\boxed {m\angle M = 90\degree}} \\[/tex]
By interior angle sum postulate of a triangle, we have:
[tex] m\angle L + m\angle M + m\angle N = 180\degree \\
m\angle L + 90\degree + 66\degree = 180\degree \\
m\angle L + 156\degree = 180\degree \\
m\angle L = 180\degree - 156\degree \\
\huge\red {\boxed {m\angle L = 24\degree}} \\[/tex]
What is the value of this expression
Answer:
157
Step-by-step explanation:
4(x2+3)-2y
4((-6)2+3)-2(-1/2)
4(36+3)-(-1)
4(39)+1
156+1
157
Answer:
157
Step-by-step explanation:
A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
Evaluate the following expression
Answer:
Hope this is correct
Step-by-step explanation:
HAVE A GOOD DAY!
help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
YOOO PLZ HELP ASAP!!!
Answer:
Step-by-step explanation:
its B
Answer:
B
Step-by-step explanation:
given that the number 33554432 is equal to 2^25, explain how you know that 33554432 is not a square number
Answer:
25 is not an even number so 2^25 will not be a perfect square number
Step-by-step explanation:
This question is based on squares. Therefore, 33554432 is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.
Given that:
The number 33554432 is equal to [tex]\bold{2^{25}}[/tex].
We need to determined that 33554432 is not a square number.
As we know that,
Even power of 2 gives a perfect square.
For example,
[tex]2^{2} =4\\2^{4} =16\\2^{6}= 64[/tex] ....
Therefore, in given question the power of 2 is odd that is 25.So, we conclude that given number that is 33554432 is not a perfect square.
Hence, 33554432 is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.
For more details, please refer to this link:
https://brainly.com/question/22167068
The function g(x) is a transformation of f(x), and g(x) = f(x) + 2. What type of transformation of f(x) is g(x)? A. dilation B. horizontal translation C. reflection D. vertical translation
Answer:
This is called a vertical translation, which is answer D.
Step-by-step explanation:
Given: g(x) = f(x) + 2.
This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).
The type of transformation is called a vertical translation, which is answer D.
HELP please!!! For two figures to be congruent their corresponding sides and exterior angles must be equal
Please select an answer,
a. true
b. -
c. -
d. False
Answer: I think its A