The perimeter of this triangular plot of land can be represented by the expression 3x2 + 10x + 20.
6x + 11
2x2 + 9
Write a polynomial that represents the measure of the third side of the plot of land.
Answer:
x^2+4x
Step-by-step explanation:
(3x^2+10x+20)-(6x+11) = 3x^2+4x+9
(3x^2+4x+9)-(2x^2+9) = x^2+4x
The polynomial that represents the measure of the third side of the plot of land is x² + 4x.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given two sides of a triangular plot of land.
6x + 11
2x² + 9
Perimeter = 3x² + 10x + 20
Perimeter of a triangle = Sum of the three sides
Let A represents the third side.
6x + 11 + 2x² + 9 + A = 3x² + 10x + 20
2x² + 6x + 20 + A = 3x² + 10x + 20
A = 3x² + 10x + 20 - (2x² + 6x + 20)
A = x² + 4x
Hence the measure of the third side is x² + 4x.
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after spending 7/9 of a three hours examination, a student left the exams hall. How many minutes has he to complete the duration of the examination.
reduce 105 in the ratio 3:5
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Answer:
39.375 : 65.625
Step-by-step explanation:
The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.
3/8 × 105 = 39 3/8
5/8 × 105 = 65 5/8
The divided quantities are ...
39.375 : 65.625
1 1/4 x 1 1/3 plsss help
Answer:
exact form: 5/3
decimal form: 1.6 (6 is repeating)
mixed number form: 1 2/3
Step-by-step explanation:
Answer:
1 2/3
Step-by-step explanation:
1 1/4 x 1 1/3 = 5/4 x 4/3 = (5x4)/(4x3) = 20/12 = 5/3 = 1 2/3
A jar contains 3 blue marbles, 4 yellow marbles, and 3 green marbles.
What is the probability of randomly choosing a yellow marble, replacing
it, and then choosing a blue marble?
Answer:
3/25
Step-by-step explanation:
There are 10 total marbles
P(yellow) = yellow/total = 4/10 = 2/5
We replace it so there are 10 marbles
P(2nd marble blue) = blue /total = 3/10
Multiply the two probabilities together
P(yellow, replace, blue) =2/5*3/10 = 3/25
Answer:
3/25
Step-by-step explanation:
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How much is Sam's 11% commission on $350,000 in sales?
Answer:
$38,500
Step-by-step explanation:
350000 x .11 = 38500
The two figures are similar. Find the ratios
(red to blue) of the perimeters and of the
areas. Write the ratios as fractions in
simplest form.
(100 points)
Answer:
1/5 to 1/5
Step-by-step explanation:
Find the solution of the system of equations.
Answer:
(1, -7)
Step-by-step explanation:
If you need the work:
5x+3y =-16
5x= -3y -16
x= -3/5y - 16/5
---------------
Substitute x
-10x-3y=11
-10(-3/5y-16/5)-3y=11
y= -7
---------------
Substitute y
x= -3/5(-7) -16/5
x= 1
A triangle is called
_____ if none of its sides are the same length. *
equilateral
isosceles
scalene
Answer:
scalene
Step-by-step explanation:
Answer:
Scalene
Step-by-step explanation:
Equilateral means all the sides are the same.
Isosceles means only two are the same.
Scalene means none are the same.
The area of the triangle below is 38.28 square meters. What is the length of the base?
Answer:
8.8 m
Step-by-step explanation:
Area of triangle = [tex]\frac{1}{2} bh[/tex]
38.28 = [tex]\frac{1}{2}[/tex] * b * 8.7
b = 38.28 * 2 / 8.7
b = 8.8 m
(8+2b)+(-4+6x)+(6+9m)
Answer:
2 b + 9 m + 6 x + 10
Step-by-step explanation:
2 b + 4 + 6 x + 6 +9 m
2 b + 6 x + 10 + 9m
2 b + 6 x + 9 m + 10
= 2 b + 9 m + 6 x + 10
Answer:
multiply the +sign with the second bracket.Also do the same with the third bracket.But for the first bracket just remove the bracket and then correct the like terms and solve it(ALGEBRA 2) Please help me with this question. Image is attached ( Please don't answer if you don't know )
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Answer:
restrictions exclude parts of the domain where the function is not defined. On a graph, they are holes, or vertical asymptotes.the denominator might be (x² -4)they are different in the same way that adding and multiplying numerical fractions are differentStep-by-step explanation:
1. In general, restrictions on rational functions refer to values of the variable that make the denominator zero. The function will be undefined in that case. On a graph, such a location will show up as a "hole" or a vertical asymptote.
__
2. If ±2 are excluded from the domain, we expect factors of (x-2)(x+2) in the denominator. That is, the denominator will have a factor of (x²-4). (There may be other factors that do not have real zeros.)
__
3. A rational expression is a fraction the same as any other. The usual rules of addition, subtraction, multiplication, and division apply. For addition and subtraction, it can be useful to identify a common denominator. For multiplication and division, that is not so essential.
can somebody please help me out ?
Answer:
30
Step-by-step explanation:
238,900/7,917=30.1755
Answer:
30
Step-by-step explanation:
You divide the distance to the Earth's diameter:
238,900/7,917=30
Zeke and Scarlett deposit $500.00 into a savings account which earns 5% interest
compounded annually. They want to use the money in the account to go on a trip in 3 years.
How much will they be able to spend?
= P 1 + , where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Answer:
578.81
Step-by-step explanation:
PV(1+i)ⁿ
500(1+.05)³
578.8125
which rounds to 578.81
ok so i need help and fast!!!!!
Answer:
With what?
Step-by-step explanation:
B. Evaluate
a) [ (-48) ÷ 12 ] ÷ 4
b) [ (-16) +6 ] ÷ [(-2) +1 ]
c) 0 ÷ (-15)
Answer:
A. -1
B.10
C.0
Step-by-step explanation:
Use calculator*
The figure below shows ∠ABC formed by the hands of the clock at 4 o’clock. What is the measure of ∠ABC?
Answer:
120°
Step-by-step explanation:
30° x 4 = 120°
Full turn is 360
half is 180
and 180 degree = 6 parts
180÷6=30
A punch bowl has 1/3 of a gallon of Rainbow sherbet, 1/2 of a gallon of Sprite, and 1/6 of a gallon of Sundrop. After the punch is split equally among two serving bowls how much of each ingredient is in one serving bowl. How much Rainbow Sherbet will be in the bowl if it is split equally between two bowls?
Answer:
1/6
Step-by-step explanation:
To solve this, multiply the denominator by 2, which would be 2x3 which would be 6.
Mr. Taylor arranges some chairs in rows. He puts the same number of chairs in each of the 7 rows and puts 7 chairs in the last row. He sets up 70 chairs. How many chairs does he pt in each of the 7 equal rows?
Choose the equation that can be used to solve the problem.
(7xc) +7=70
(70/7) +7=C
(7xc)-7=70
Answer:
The first one
Step-by-step explanation:
We need to find out how much chairs there are in each of the 7 rows, so we put it as 7c. The last row has 7 chairs, so we use an addition sign to include that. Since there are 70 chairs in total, the sum is 70.
Hope this helps!
Is it possible for a cross section of a cylinder to have a triangular shape?
It is not possible for a cross section of a cylinder to have a triangular shape
What is cross section?Cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces
What is Cylinder?A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes
What is triangular shape?A triangle is a shape formed when three straight lines meet
Cross section of the cylinder is depends on how we cut .The cross-section of a cylinder may be either circle, rectangle, or oval
Hence, the cross section of of a cylinder can not be a triangular shape
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So like how do I do this?
Answer:
Step-by-step explanation:
The legs of the triangle have lengths 9 and 12. The Pythagorean Theorem says [tex](\text{hypotenuse})^2=(\text{leg})^2+(\text{leg})^2[/tex].
[tex]x^2=9^2+12^2=81+144=225\\x=\sqrt{225}=15[/tex]
Yes, these values make a Pythagorean Triple (3 integers that fit the Pythagorean Theorem)
There are infinitely many of these triples: 3,4,5 5,12,13 are examples. The triple in this problem is 3 times the 3,4,5 triple.
x= 15
No
H²= O²+A²
x²= 9²+12²
x²= 81+144
x²= 225
x= √225
x= 15
3 1/4 pints =____ fl oz?
Answer:
52
Step-by-step explanation:
Answer:52
Step-by-step explanation:
In the relationship between hours driven and distance traveled is y = 45x, which of the following ordered pairs would be graphed on the line that represents the relationship?
Step-by-step explanation:
(0,0) (1,45) (2,90) (3, 135) (4, 180) etc, etc
Answer:
(4, 180)
Step-by-step explanation:
Choices: (3,5), (4,60), (4,180), (5,9)
y = 45x
The value of y is 45 times the value of x.
The only point in which that is true is (4, 180) since 45 * 4 = 180.
Answer: (4, 180)
The ages of attendees at two different movies were randomly sampled. The data is in the double box plot. Drag each statement to the table to show whether it applies to Movie A or movie B
Answer:
part B needs to change
Step-by-step explanation:
What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
O 165 yd 2
41.25 yd 2
O 330 yd 2
O 82.5 yd 2
Please asap
Answer:
The shape is a triangle, not a quadrilateral.
Step-by-step explanation:
A= hbb/2 = 11·15/2 = 82.5
The area of the triangle is 82.5 yd².
A 13-A ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the top of the ladder from the ground?
If necessary, round your answer to the nearest tenth.
13
8
Answer:
10.2 ft
Step-by-step explanation:
[tex]a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2} \\[/tex]
64 + [tex]b^{2}[/tex] = 169
[tex]b^{2} = 105\\[/tex]
b=[tex]\sqrt{105}[/tex]
b= 10.2469
I need help with number 9
Using the line of bets fit, about how much would you expect a kitten to weigh at 11 weeks?
Answer:
40 ounces
Step-by-step explanation:
Every week the kittens roughly gain about 5 ounces. The like was at 35 on week 10, so on week 11 it would be 40.
If θ is an angle in standard position and its terminal side passes through the point (5,-12), find the exact value of sinθ in the simplest radical form. need answer, please
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Answer:
sin(θ) = -12/13
Step-by-step explanation:
The distance from the origin to the given point is ...
r = √(5² +(-12)²) = √169 = 13
For point (x, y) ⇔ (r; θ), recognize that (x, y) = (r·cos(θ), r·sin(θ)). This translates to ...
sin(θ) = y/r
sin(θ) = -12/13
Can someone help me? I’ll reward points + brainalist (btw only need help with number 13)
Find the area. Simplify your answer.
Answer:
Area = 6x - 6
Step-by-step explanation:
Given:
Height = 2x - 2
Base = 6
Required:
Area
Solution:
Area of triangle = ½*b*h
Area of the triangle = ½*6*(2x - 2)
Area = 3(2x - 2)
Apply distributive property
Area = 6x - 6