Answer:
A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.
74. Seven workers are hired to seed a field by hand. Each is given a plot 7 x 7
feet in size. What is the total area of the field?
Answer:
The total area of the field is 343 square feet
Step-by-step explanation:
Let us solve the question
∵ There are 7 workers hired to seed a field by hand
∵ Each is given a plot 7 x 7 feet in size
→ The plot has shaped a square because its two dimensions equal
∴ The side of the plot = 7 feet
∵ The area of the square = side × side
∴ The area of each plot = 7 × 7
∴ The area of each plot = 49 square feet
→ To find the total area multiply the area of 1 plot by the number
of the workers
∵ The total area = 49 × 7
∴ The total area = 343 square feet
∴ The total area of the field is 343 square feet
one exterior angle of a regular polygon measures 22.5 degrees. How many sides does the polygon have?
Answer:
16
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 22.5 to find the number of sides n
n = [tex]\frac{360}{22.5}[/tex] = 16
It an be concluded tat the regular polygon has 16 sides
A regular polygon is a polygon with equal angles and equal sides.
The sum of exterior angles of a regular polygon is 360°
According to the given data
One exterior angle of a regular polygon measures 22.5 °
Let us consider that the regular polygon has "n" sides
So from the exterior angle sum property of the regular polygon we can write that
[tex]\rm n \times 22.5\textdegree = 360 \textdegree\\ n = 360\textdegree /22.5\textdegree \\n = 16[/tex]
So it an be concluded tat the regular polygon has 16 sides
For more information please refer to the link given below
https://brainly.com/question/22831826
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Jerry left his house and walked l.5 miles directly west. Then he walked 1.5 miles directly east. At this point, how many miles was Jerry from his house?
Answer: he should be at home im sure
Step-by-step explanation:
Which pair of triangles must be similar? * 1 point Triangles 1 and 2 each have a 50 degree angle. Triangles 3 and 4 are both isosceles. They each have a 60 degree angle. Triangle 5 has a 40 degree angle and a 95 degree angle. Triangle 6 has a 35 degree angle and a 70 degree angle. Triangle 7 has a 60 degree angle and a 10 degree angle. Triangle 8 has a 60 degree angle and a 100 degree angle.
Answer:
Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.
This is a similar triangle.
Step-by-step explanation:
Isosceles triangle is one in which two sides are equal.
Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.
Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.
The other choices given are not similar triangles because
1) they do not have all corresponding angles equal
2) their lengths are unknown and cannot be assumed to be in ratio.
what number is 2e+204
SOMEONE HELP ME PLS
Answer:
1/5^15
Step-by-step explanation: when ever you want to convert the number becomes a fraction to sibstitute for the sighn change and the exponent stays positive.
x+2=18
3(x+2)=18
How can we get Equation B from Equation A?
Answer:
x+2 = 18
x = 18-2
x=16
3(x+2) =18
3x + 6 =18
3x = 18 -6
3x = 12
x = 12/3 = 4
Step-by-step explanation:
The sum of the two shorter sides of a triangle must be greater than the longer side. the shorter side of a triangle is 8 inches and the longest side is 18 inches. how long must the third side of a triangle be?
rules of a formal debate
Answer:
Step-by-step explanation:
be formal and dont yell
Answer:
Each of the six speakers (three affirmative and three negative) speak in succession to each other, beginning with the Affirmative Team. The speaking order is as follows: First Affirmative, First Negative, Second Affirmative, Second Negative, Third Affirmative, and finally Third Negative.
Step-by-step explanation:
Find the value of X
PLEASE
Answer:
x ≈ 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA
a is a side lengthb is a side lengthc is a side lengthA is an angle corresponding with side aStep-by-step explanation:
Step 1: Define
a = x
A = 30°
b = 16
c = 30
Step 2: Solve for x
Substitute: x² = 16² + 30² - 2(16)(30)cos30°Exponents: x² = 256 + 900 -2(16)(30)cos30°Evaluate: x² = 256 + 900 -2(16)(30)(√3/2)Multiply: x² = 256 + 900 - 480√3Add: x² = 1156 - 480√3Subtract: x² = 324.616Isolate x: x = √324.616Evaluate: x = 18.0171Round: x ≈ 18For which equation is a = 4 not the solution?
9 a = 36
5 a = 54
8 a = 32
6 a = 24
9x4=36 X
8x4=32 X
6x4=24 X
5x4=20, not 54.
So 5xA=54 is the correct answer
hope it helps!
Pls who knows how to do this
Answer:
I think 31° is the answer
What is the value of x?
Enter your answer, as a decimal, in the box.
cm
Triangle M N P with segment A B parallel to segment N P and A is between M and N and B is between M and P. M N equals 46.2 centimeters, A N equals 14 centimeters, M P equals 72.6 centimeters, and M B equals x.
Mr Roman drove from his hometown to another city. He used 12 1/4 gallons of gas for 318 1/2 mile trip. On average, how many miles did Mr. Roman travel per gallon of gas
Answer: 26 miles
Step-by-step explanation:
Gallons of gas used = 12 1/4 = 12.25
Distance of the trip = 318 1/2 = 318.5 miles
The miles that Mr. Roman travel per gallon of gas will be:
= Distance of the trip / Gallons of gas used
= 318.5/12.25
= 26 miles
Mr Roman travelled 26 miles per gallon of gas
quick i need hellppppp!!!!
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please help
Hello,
I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Also say HAPPY THANKSGIVING
Thanks,
brownarietta8
Answer:
3/n - 10
Step-by-step explanation:
Subtracted from means it comes after
Quotient means divide
3/n - 10
Please sum1 help? I don’t understand this it would mean the wrld thx
Answer:
20 pages per hour
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
What is the slope of the line in the graph?
Answer:
My answer would be y=2x+1
Step-by-step explanation:
Silvio is putting his books on a shelf. The shelf is 12 inches long. If each book Is LaTeX: 1\frac{1}{2}1 1 2inches wide, how many books can he put side-by-side on the shelf?
Answer:
8 books
Step-by-step explanation:
1 book = 1 1/2 inches
Length of the shelf = 12 inches
Hence,
3/2 inches = 1 book
12 inches = x
3/2 × x = 12 × 1
x = 12 ÷ 3/2
12 × 2/3
4 × 2
= 8 books
Hence, he can put 8 books side-by-side on the shelf.
What is 33.765 rounded to the nearest hundredth?
Answer:
33.77
Step-by-step explanation:
Anna wants to bake 2 1/2 dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for 1 1/4 cups of sugar, how many cups of sugar does she need to make the cookies for her party? Express your answer as a mixed number.
Given :
Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.
To Find :
How many cups of sugar does she need to make the cookies for her party.
Solution :
Let, cups of sugar required to make cookies for her party is x.
So,
[tex]x = \dfrac{\dfrac{5}{4}}{\dfrac{5}{2}}\\\\\\x = \dfrac{1}{2}[/tex]
Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.
Hence, this is the required solution.
Answer: 25/8
Step-by-step explanation:
We would first turn 2 1/2 and 1 1/4 into an improper fraction.
That leaves us with 5/2 and 5/4.
Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.
Therefore x, or the amount of sugar she needs, is 25/8
To add or subtract fractions, what must you have?
Answer:
You need a common denominator.
Step-by-step explanation:
3/4+2/3
9/12+8/12
Answer:
Equal denominators/common denominators
Step-by-step explanation:
You need to have equal denominators. If you do not, then you have to multiply the denominators against each other as well as multiplying the same number to the numerator. If a number is a factor of one of the numbers then multiply the number by its other factor so as to get the same number.
Ex. 1
First one explained:
2/3 + 4/5
1/3 * 5/5 = 5/15
2/5 * 3/3 = 6/15
5/15 + 6/15 = 11/15
Common denominator = 15
Ex. 2
Second one explained:
2/8 + 1/4
2/8 + 1/4*2/2 = 2/8 + 2/8
= 4/8
Common Denominator = 8Hope this helped,
Kavitha Banarjee
At a little-known vacation spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs 11.20 you want to find the cost for a 49 mile taxi ride
Answer:
the unit price needed to calculate is $0.8 per mile
Step-by-step explanation:
Here is the complete question:
At a little-known vacation spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs $11.20 you want to find the cost for a 49 mile taxi ride . What unit price do you need?
Step-by-step explanation:
To determine the unit price needed to calculate the cost for a 49 mile taxi ride, we will determine the cost of the ride per mile. To do this, let the cost per mile be $x
If it cost $11.20 for a 14 mile ride
Then, it will cost $x for a 1 mile ride
∴ x = (1 × 11.20) / 14 = 0.8
x = 0.8
The taxi ride costs $0.8 per mile.
Hence, the unit price needed to calculate is $0.8 per mile.
If desired,
To find the cost for a 49 mile taxi ride, multiply the distance traveled by the unit price,
Distance = 49 mile
Unit price = $0.8 per mile
∴ Cost for a 49 mile taxi ride = 49 × $0.8
Cost for a 49 mile taxi ride = $39.2
Hence, the cost for a 49 mile taxi ride is $39.2
Plzzzzzz helpppppp meeeee
Factoring Polynomials Completely
The first option
Factoring [tex]6x^2+7x-10[/tex]
gives us:
[tex]\left(6x-5\right)\left(x+2\right)[/tex]
so we know that the first option,
one of the factors is (x+2) is correct.
At night, the temperature in the fall in lowa is 35°F. During the day, the temperature rises 23°F.
What is the temperature in lowa during the day?
Answer:
58˚F
Step-by-step explanation:
35 + 23 = 58
I hope this helps, have a nice day! :)
What is the factored form of x°-1?
(x2-1)(x2+x+1)
o (x-1)(x2-x+1)
o (x-1)(x2+x+1)
o (p-1)(x2+2x+1)
Answer:
o (x-1)(x2-x+1)
Step-by-step explanation:
i think hopefully it's right
$1500 at 4% for 5 years
show your work please.
Answer:
$12825
Step-by-step explanation:
If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825
"Taylor's Toys" produced 600 remote control cars in two colors. For blue cars they produced 60 more than 3 times as many orange cars. How many of the cars were blue????????? I really need this right noww pleassseee
Answer:
Remote Control Car Fast RC Cars Toys for 6-12 Years Old Boys,High Speed RC Truck Offroad Remote Control Truck RC Rock Crawler All Terrain RC Car Toys for Boys Kids Gift (Green) 3.6 out of 5 stars 141 More Buying Choices $14.62 (1 used offer)
Step-by-step explanation:
find answer in terms of pi
Answer:
Step-by-step explanation:
V = π r² h
V = π 3² × 6
V = π 9 × 6
V = π 54 units³
or 54 π units³