The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet
Determining shapeFrom the question, we are to determine the statement that describes the shape of the barrier
From the given information,
The barrier is 2.5 feet from the tomato plant in every direction.
This can be likened to a circle that has a radius of 2.5 feet.
Recall: Radius of a circle is the distance from the center of the circle to any point on it's circumference
If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet
Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option- A circle with a diameter of 5 feet
Here is the complete question:
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?
A circle with a radius of 5 feet
A square with diagonals 5 feet long
A square with sides 5 feet long
A circle with a diameter of 5 feet
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Evaluate the expression below when x = 3 54 ÷ 2•3-x²
Answer:
72
Step-by-step explanation:
54/2(3)−3^2
= 54/2(3)−3^2
=72
Brett draws the shape shown below.
He says the shape can be classified as a quadrilateral, parallelogram, rhombus, and square.
Is Brett correct? Explain.
The given figure is quadrilateral, parallelogram, and a rhombus but not a square. So brett is not correct.
What is a square?A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.
We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.
The given figure is a parallelogram as opposite sides of the figure are parallel and equal.
The given figure is a rhombus as all the sides are parallel and equal.
The given figure can not be a square as in the square all the four sides are perpendicular to each other.
Therefore given figure is quadrilateral, parallelogram, and a rhombus but not a square. So brett is not correct.
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If f(x) = |x| + 9 and g(x) = -6, which describes the range of (f+g)(x)
The range exist on all real values. This can be written as (-infty, infty)
Range of a functionThe range is the value of the dependent variable for which it exists. Given the following functions
f(x) = |x| + 9 and;
g(x) = -6
Determine the sum
(f+g)(x) = |x| + 9 + (-6)
(f+g)(x) = |x| + 9 -6
(f+g)(x) = |x| + 3
Determine the range of the function
The range exist on all real values. This can be written as (-infty, infty)
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4. What is the slope of a line that is parallel to the line shown?
Answer:
0.2÷3.0=15.0
Step-by-step explanation:
Write the equation in slope - point form using the following information.
m = [tex]\frac{2}{5}[/tex] and point (-10, 1). Then, convert it to general form.
Answer:
[tex]\sf 2 x-5y +25=0[/tex]
Explanation:
Given points: (-10, 1)slope: 2/5Equation:
[tex]\dashrightarrow \sf y - y_1 =m(x - x_1)[/tex]
[tex]\dashrightarrow \sf y - 1 = \dfrac{2}{5} (x - (-10))[/tex]
[tex]\dashrightarrow \sf y = \dfrac{2}{5} x +4 + 1[/tex]
[tex]\dashrightarrow \sf y = \dfrac{2}{5} x +5[/tex]
[tex]\dashrightarrow \sf 5y = 2 x +25[/tex]
[tex]\dashrightarrow \sf 2 x-5y +25=0[/tex] General form: ax + by + c = 0Need Help ASAP
Consider the circles A, B, C, and D.
Four circles A, B, C, and D are shown. Circle A has a diameter of 8 feet. Circle B has a diameter of 10 inches. Circle C has a diameter of 2 feet. Circle D has a radius of 50 inches.
a. Without calculating, circle
has the greatest circumference.
Question 2
Explain.
Answer:
Circle D
Step-by-step explanation:
The circumference of a circle can be calculated by multiplying the diameter by π. Therefore, the circle with the greatest circumference will be the circle with the greatest diameter.
The only circle for which we have been told the radius is Circle D. The diameter of a circle is twice the radius, therefore the diameter of Circle D is 50 in × 2 = 100 in
There are 12 inches in 1 ft.
Therefore, the circumferences of the circles in order from smallest to largest is: B < C < A < D
Proof
Diameters
Circle A = 8 ft = 96 inCircle B = 10 inCircle C = 2 ft = 24 inCircle D = 2 × 50 in = 100 inHow many different sequences of 3 playing cards (from a single 52-card deck) exist?
22,100
140,608
132,600
24,804
There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
What is Permutations?A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.
Here, total number of cards = 52
Number of Withdrawn cards = 3
Possibilities of different sequences of 3 playing cards = 52 X 51 X 50
= 132600
Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
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Answer:
132,600
Step-by-step explanation:
To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:
P(n, k) = n! / (n-k)!
Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).
Plugging in the values:
n = 52 (total number of cards in the deck)
k = 3 (number of cards chosen)
P(52, 3) = 52! / (52-3)!
Calculating the factorial terms:
52! = 52 x 51 x 50 x ... x 3 x 2 x 1
(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1
Simplifying the equation:
P(52, 3) = 52 x 51 x 50
P(52, 3) = 132,600
Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.
5. What is the measurement of each angle?
Answer:
x=14
Step-by-step explanation:
The sum of a interior angle is 180°
(7x-11)+(2x-3)+(5x-2)°=180°
7x+2x+5x=180+11+3+2
14x/14=196/14
x= 14
Hope this answers your question!! :)
A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar
tube made from a similar piece of card with an area of 500 cm³?
The length of the similar tube will be 5041 cm.
What is the area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar?Tube made from a similar piece of card with an area of 500square centimetres.The radius of the first tube will be calculated as:-
1200 = 2πr ( 13 )
r = 12 / 2π x 113
r = 14.7 cm
Now the length of the second tube will be:-
500 = 2π x 14.7 x L
L = 500 / 2π x 14.7
L = 5.41 cm.
Therefore the length of a similar tube will be 5041 cm.
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Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
(32)4
3-3
3243 2-1
(34)²
3-3 2-3 63 24 35
(40)2
(23)
1
112122
2
23.3
The simplified value is shown below:
What is exponents and powers?Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.
First,
3²*4³*[tex]2^{-1}[/tex]/(3*4)²
=9*64/144*2
= 576/288
=2
Second,
(3*2)^4 *[tex]3^{-3}[/tex]/2³*3
=1296/8*81
=1296/648
=2
Third,
[tex]3^{-3} *2^{-3} *6^{3} /(4^{0} )^{2}[/tex]
= [tex]6^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]
= [tex]2^{3}* 3^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]
=1
Fourth,
[tex]2^{4}* 3^{5} /(2*3)^{5}\\=2^{4}* 3^{5} /2^{5}*3^{5}[/tex]
= 1/2
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Charlotte is buying milk. She can get 64 oz. for $3.00 or 80 oz. for $4.50. Which is the better deal, 64 oz. or 80 oz.?
Answer:
80 oz
Step-by-step explanation:
1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth
a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.
b). if X = 2 m, find the actual dimensions of the carpet.
c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?
What is a factor of X2–9 X +14
The factors of the expression x^2 - 9x + 14 are (x - 7) and (x - 2)
How to factor the expression?The expression is given as:
x^2 - 9x + 14
Expand
x^2 - 2x - 7x + 14
Factorize the expression
x(x - 2) - 7(x - 2)
Factor out x - 2 from the expression
(x - 7)(x - 2)'
Hence, the factorized expression of x^2 - 9x + 14 is (x - 7)(x - 2)'
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Pythagorean theorem. How do I solve this?
Answer:
By using the pythsgorean theorem! simple
Answer:[tex]\sqrt{155}[/tex]
Step-by-step explanation:
Oh god pythagorean triples got thrown out the window for this one. This will be a bit ugly.
First, we find the other side length of the rectangle using the pythagorean theorem.
Then, we use that side length in ANOTHER pythagorean theorem to get our answer.
Well, we know that the side length is [tex]\sqrt{5^{2}+9^{2} }[/tex]
We'll use whatever that number is, let's call it x for now, in our other expression:
[tex]\sqrt{x^{2}+7^{2}}[/tex]
So we can do this in one clean equation by substituting our first equation as x in the second one.
Or do them separately. Your choice.
Anyways, try to solve this one now that you know what to do. If you need more help then message.
. Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.
Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.
Determine the value of "a" for which g(h(a)) = 13
Answer:
a = 6
Step-by-step explanation:
g(x) = 5x - 2
h(x) = √(x + 3)
g(h(x)) = 5[tex]\sqrt{x+3}[/tex] - 2
g(h(a)) = 5[tex]\sqrt{a+3}[/tex] - 2
5[tex]\sqrt{a+3}[/tex] - 2 = 13
5[tex]\sqrt{a+3}[/tex] = 15
[tex]\sqrt{a+3}[/tex] = 3
( [tex]\sqrt{a+3}[/tex] )² = 3²
a + 3 = 9
a = 6
answer the question below, will give brainliest to first answer
Answer:
deductive reasoning
Step-by-step explanation:
it is based on what is true based on what happened before
Answer:
2 option, deductive reasoning
Step-by-step explanation:
based on true events
simplify (x^3+2x-3)-(x^2-2x+4)
Answer:
x³ - ((x+1)(x+1))
Step-by-step explanation:
x³ + 2x -3 - x² - 2x + 4
x³ - x² + 1
x³ - ((x+1)(x+1))
Answer:
x^3−x^2+4x−7
Step-by-step explanation:
Hope this helps! Have a great day!!
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y ≥ −3x + 3
y is less than 3 over 2 times x minus 6
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−6, 3) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.
The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.
The area where both shaded areas meet is the area that will have all the possible solutions.
PartB:
y ≥ −3x + 3
3 ≥ -3(-6) + 3
3 ≥ 18 + 3
Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.
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14 + w is the same as which expression?
A
14w
B
14 - w
C
w + 14
D
w - 14
Answer:
C
Step-by-step explanation:
14 + w is the same as w + 14
Answer:
C. w + 14.
Step-by-step explanation:
The order does not matter when you are adding terms.
this is called the Commutative Property of Addition.
If EFGH is a parallelogram, what is the value of x?
F
(4x-2)
34
G
E
H
A. 34
OB. 30.5
OC. 36
D. 82
OE. 37
OF. 9
Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.
What are the Properties of the Angles of a Parallelogram?In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.
Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)
Angle F + angle G = 180
4x - 2 + 34 = 180
4x + 32 = 180
4x = 180 - 32
4x = 148
x = 148/4
x = 37
Value of x is: E. 37.
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Find the value of y in the solution to the system of equations shown.
3y = 18x + 6
y = 2x + 14
A. y = 3
B. y = 4
C. y = 20
D. y = 26
Divide by 3
y=6x+2--(1)y=2x+14--(2)Equating
6x+2=2x+144x=12x=3Now
y=6(3)+2y=18+2y=20C
Answer:
C. y = 20
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}3y = 18x + 6\\y = 2x + 14\end{cases}[/tex]
Multiply the second equation by 3:
[tex]\implies (3)y=(3)2x+(3)14[/tex]
[tex]\implies 3y=6x+42[/tex]
Subtract this from the first equation to eliminate 3y:
[tex]\begin{array}{r l}3y & = 18x+6\\-\quad3y&=6x+42\\\cline{1-2}0&=12x-36\end{array}[/tex]
Solve the resulting equation for x:
[tex]\implies 12x-36=0[/tex]
[tex]\implies 12x=36[/tex]
[tex]\implies x=3[/tex]
Substitute the found value of x into the original second equation and solve for y:
[tex]\implies y=2(3)+14[/tex]
[tex]\implies y=6+14[/tex]
[tex]\implies y=20[/tex]
the first container of milk has twice as many gallons as the second if john uses 2 gallons from the second and 3 gallons from the first if the first one has 4.5 times more than the second how much did they each have originally
Answer:
SORRY I DONOT KNOW THE ANSWER
Step-by-step explanation:
i am sorry i do not know the amswer
Find the midpoint of the line segment. Please hurry 15 points!
Answer: Hope this helps you
0,0
1. Solve the equation using square roots.
x² +10=9
Answer:
x=±√−1 (NO REAL SOLUTION)Step-by-step explanation:
x² + 1 = 0
1× x²+1=0
x=±√(−1×1)
x=±√−1 (NO REAL SOLUTION)
2. Calculate the amount of compound interest paid on $7300 at the end of 3 years for each
rate. [2 marks each]
a) 10% compounded semi-annually
b) 8% compounded monthly
The compound interest when $7300 when interest is compounded semi annually is $2482.70.
The compound interest when $7300 when interest is compounded monthly is $1972.73.
What is the compound interest?An investment earns compound interest when both the amount invested and the interest accrued increases in value at predetermined time intervals.
The formula to represent compound interest is :
FV - amount invested
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsa. 7300 x [1 + (0.1/2)]^(3 x 2) = 9782.70
Compound interest = 9782.70 = 7300 = $2482.70
b. 7300 x [1 + (0.08/12)]^(12 x 3) = 9272.73
9272.73 - 7300 = $1972.73
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what is the value of the digit 5in the number 734.95?
Answer:
0.05
explanation
value means total value
so it's 5*0.01
=0.05
What is the relationship between the number of sides a regular polygon has and the number of lines of symmetry that can be found on it?
There are always more lines of symmetry than sides.
They are same value.
There are always more sides than lines of symmetry.
There is no relationship.
The number of sides equals the number of the line of symmetry. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be
In a regular polygon, the amount of symmetry lines is equal to the total of sides.
Then the correct option is B.
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Answer:
B They are the same value!
Step-by-step explanation:
Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)
A subtrahend is the number being subtracted in a subtraction problem. Robert
misread the digit l in the ones place of the subtrahend as 7 and the digit 7 in the tens place of the subtrahend as 1. The difference in the subtraction then became 222. What would be the actual difference if he had read the numbers correctly?
From the calculation below, the actual difference, if Robert had read the numbers correctly, is 168.
How to use subtrahend in the calculation?Let X represents the number from which subtrahend is subtracted.
Therefore, we can calculate X as follows:
X – 17 = 222
X = 222 + 17 = 239
If the subtrahend is read correctly as 71 and then subtracted from 239, we have:
Actual difference = 239 – 71
Actual difference = 168
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Find the area and volume of a 11 inch cube (pls write do the equation in steps)
Answer:
1331 inches cubed
Step-by-step explanation:
V=LHW
since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.
Hope this helped!