Answer:
A ≈ 43.3 cm²
Step-by-step explanation:
the area (A) of an equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is a side of the triangle )
given perimeter = 30 cm , then
s = 30 cm ÷ 3 = 10 cm
then
A = [tex]\frac{10^2\sqrt{3} }{4}[/tex] = [tex]\frac{100\sqrt{3} }{4}[/tex] = 25[tex]\sqrt{3}[/tex] ≈ 43.3 cm² ( to the nearest tenth )
3. Find the measures of the angles in the figure.
Answer:
60° , 60° , 120° , 120°Step-by-step explanation:
NOTE :
the sum of the 4 interior angles of a quadrilateral is 360°.
…………………………………………
Then
h + h + 2h + 2h = 360
Then
6h = 360
Then
h = 360 ÷ 6 = 60
Then
2h = 2 × 60 = 120
27 Which describes how the data for word 2 should be plotted on a coordinate grid? From the origin, go 2 units to the right and 9 units up. From the origin, go 2 units to the right and 12 units up. From the origin, go 9 units to the right and 12 units up. From the origin, go 12 units to the right and 9 units up.
The statement which describes how the data should be plotted on a coordinate grid is: C. from the origin, go 9 units to the right and 12 units up.
What is a coordinate grid?A coordinate grid can be defined as a two-dimensional plane which comprises a horizontal line (x-axis) and a vertical line (y-axis) that are perpendicular to one another.
For this coordinate grid, the number of letters in the data for word 2 should be plotted on the x-axis and the percentage of students who spelled the word correctly on the y-axis.
Based on the table, the number of letters for word 2 is equal to 9 while the percentage of students who spelt it correctly is 12.
In conclusion, to plot the data on a coordinate grid, from the origin, go 9 units to the right and 12 units up.
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Complete Question:
The table of values below shows data for a five-word spelling test. Number of Letters vs. Percentage who Spelled Correctly Word Number of letters in the word Percentage of students who spelled the word correctly. Which describes how the data for word 2 should be plotted on a coordinate grid?
Consider this cone with a diameter of 19 cm. A cone with diameter 19 centimeters and slant height of 31 centimeters. Use the drop-down menus to describe the cone measurements. What is the radius measure of the cone? cm What is the base area of the cone? Pi cm2 What is the surface area of the cone? Pi cm2
Answer:
1) Radius of the cone = 9.5 cm
2) BA = 90.25 π cm²
3) SA = 384.7 π cm²
Step-by-step explanation:
1) Radius of the cone = 9.5 cm
2) Base Area of the cone =
BA = (π)(9.5)²
BA = 90.25 π cm²
3) Surface Area of Cone =
SA = π(9.5)(9.5 + √(29.5)²+(9.5)²)
SA = 9.5π(9.5 + 31)
SA = 9.5π(40.5)
SA = 384.7 π cm²
Edge 2022
Question 1 Justify whether P(x) 5x+0.3x4 √3x + 4x² x3 is a polynomial or not.
Answer:
square root = not polynomial
A baker bakes 48 dozen doughnuts each morning. She sells 18 dozen
in her store and fills orders with the rest. Write a fraction to show the
portion of doughnuts the baker sells in her store. Be sure to simplify.
Answer:
30/48
Step-by-step explanation:
Consider the function FX equals -2/3 X -24 which conclusions can be drawn about F negative 1X select two options a F negative 1X has a slope of -2/3 F1X has a restricted domain of negative 1X has a slight intercept of zero -36 -1 and 7X intercept of -3 60 negative 1X has a range of all real numbers
The conclusions that can be drawn about f–1(x) are:
[tex]f^-^1(x)[/tex] has an x-intercept of (-36, 0)[tex]f^-^1(x)[/tex] has a range of all real numbers.Calculations and Parameters:Given:
[tex]f(x) = \frac{-2}{3}x - 24[/tex]
[tex]f(x) + 24 = \frac{-2}{3}x[/tex]
To find x, we would multiply both sides by -2/3
= [tex]x= \frac{-3}{2} (f(x) + 24)[/tex]
[tex]f^-^1(x) = -\frac{3}{2} (0) - 36[/tex]
[tex]f^-^1(x) = -36[/tex]
Therefore, [tex]f^-^1(x)[/tex] has an x-intercept of (-36, 0)
Furthermore, [tex]f^-^1(x)[/tex] has a range of all real numbers.
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0.2(7 + 2t) = 0.4t + 1.4
Answer:
all real numbers
Step-by-step explanation:
When you factor in the .2 on the left side you are left with 1.4 + .4t which is equal to the other side. And so, no matter what value for t you plug in, they will always be equal to eachother.
2. If the parent function is y= 4*, which is the function of the graph?
2
4
y=-2(4)*
y=2(4)*
y=3(4)*
A function assigns the values. The function of the given graph is y=3(4)ˣ, thus, the correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The complete question is:
If the parent function is y = 4ˣ, which is the function of the graph?
y = −2(4)ˣ
y = −3(4)ˣ
y = 3(4)ˣ
y = 2(4)ˣ
Since the graph intersect the y-axis at 3, and the parent function of the function is y=4ˣ, therefore, we can write,
y = A(4)ˣ
3 = A(4)⁰
3 = A × 1
A = 3
Hence, the function of the given graph is y=3(4)ˣ, thus, the correct option is C.
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help me omg omg omg omg omg
Answer:
= -1.2 + 3.28d
Step-by-step explanation:
0.4 * -3 + 0.4 * 8.2d
= -1.2 + 3.28d
check whether the system of equations is consistent or inconsistent 7/2x-2/3y+9=0; 2x-3y-8=0
Answer:
hi,
Step-by-step explanation:
A consistent system of equations has at least one solution, and an inconsistent system has no solution.
Here the system has one solution.
determine the general rule for0,3,8,15
Answer:
a_n = n^2 − 1
Step-by-step explanation:
The numbers can be described as a polynomial with the following formula:
a1 = 1^2 − 1 = 1 - 1 = 0
a2 = 2^2 − 1 = 4 - 1 = 3
a3 = 3^2 − 1 = 9 - 1 = 8
a4 = 4^2 − 1 = 16 - 1 = 15
a5 = 5^2 − 1 = 25 - 1 = 24
If you were charged $151 in taxes on a $3,020 purchase, you were charged Blank 1 % on the purchase.
Answer:
5 %
Step-by-step explanation:
3020 * x = 151 x is the percentage in decimal form
x = 151 / 3020 = .05 which is 5 %
Which algebraic expression is a polynomial?
The algebraic expression that is a polynomial is -6x³ + x² - √5
How to know a polynomial?Polynomials are algebraic expressions that consist of variables and coefficients.
In a simpler term a polynomial can have constants, variables and exponents, but never division by a variable.
Therefore, the polynomial among the options is as follows:
-6x³ + x² - √5
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he work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below: Step 1: 4(2x − 4) = 8 + 2x + 8 Step 2: 6x − 8 = 16 + 2x Step 3: 6x − 2x = 16 + 8 Step 4: 4x = 24 Step 5: x = 6 In which step did the student first make an error and what is the correct step? Step 2; 8x − 4 = 2(6 + x + 6) Step 2; 8x − 16 = 16 + 2x Step 3; 6x − 2x = 16 − 8 Step 3; 6x + 2x = 16 + 8
Answer:
step 2: 8x-4=2(6+x+6)
Step-by-step explanation:
[tex]4(2x - 4) = 8 + 2x + 8 \\ 8x - 16 = 16 + 2x here \\ 8x - 2x = 16 + 16 \\ 6x = 32 \\ \frac{6x}{6} = \frac{32}{6} \\ x = 5[/tex]
Answer:
4(2x-4)=8+2x+8
8x-16=16+2x
8x-2x=16+16
6xboth sides over 6
x=5.3repiting
At Amy's candy store, small boxes (s) of chocolates contain 12 pieces, and large boxes (L) of chocolates
contain 45 pieces. A customer buys 8 boxes of chocolate containing a combined total of 195 pieces. Which
system of equations models this situation?
Step-by-step explanation:
x = number of small boxes
y = number of large boxes
these equations model the situation :
x + y = 8
12x + 45y = 195
FYI - the solution :
from the first equation we get
x = 8 - y
we use that in the second equation
12(8 - y) + 45y = 195
96 - 12y + 45y = 195
33y = 99
y = 3
x = 8 - y = 8 - 3 = 5
WHAT IS THIS HELP
if u put a bad answer i'll report
Answer:
C
Step-by-step explanation:
Two negatives cancel out and turn into a positive.
In the expression 11 - ( -3 5/8 ) there are two negative signs. If the parenthesis are removed, the two negative signs cancel out and turn into a positive and we are left with 11 +3 5/8
So the answer is C
A. Gus buys cupcakes every Saturday morning. When he walks into the bakery, he always orders by saying, "Give me $10 worth of cupcakes." What does this tell you about Gus's elasticity of demand for cupcakes?
B. Use the graph believe to illustrate Gus’ demand for cupcakes. This line should only contain the two endpoints (X axis is quantity of cupcakes 0-25 going by 5s, Y axis is Price of cupcakes 0-6 going up by 2)
The thing that can be deduced from Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic.
What is elasticity of demand?It should be noted that elasticity of demand simply means the responsiveness to demand when there's a change in price.
Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic. This is when the percentage change in quantity demanded is infinite due to the price change.
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If the property tax on a $250,000 home is $1200, what is the tax on a $120,000 home?
Answer:
well i mean it all depends were you live at
Step-by-step explanation:
in new york it will be $36,198. but in California it would be about $31,682 and Your average tax rate is 16.51% and your marginal tax rate is 24%.
3(5z-7) - 2 (9z-11) = 4 (8z-13) - 17
Rose bought a bag of potatoes for $6.00 and some granola bars for $5.25 per package. Her total bill was $74.25. How many packages of granola bars did she buy? Enter your answer in the box.
Answer:
Rose bought 14 packages of granola bars.
Step-by-step explanation:
Total bill = 1 bag of potatoes + x amount of packages of granola bars
Total bill = $74.25
1 bag of potatoes = $6.00
1 package of granola bar = 5.25
We set the equation to:
74.25 = 6.00 + 5.25x
Subtract 6.00 from both sides:
68.25 = 5.25x
Divide both sides by 5.25 to leave x by itself
68.25/5.25 = 5.25x/5.25
13 = x
This means Rose bought 13 packages of granola bars.
Let's recheck our work by inputting x = 13 into the equation:
74.25 = 6.00 + 5.25(13)
74.25 = 6.00 + 68.25
74.25 = 74.25
A flower bed is in the shape of a rectangle. It measures 7 yards long and 3 yards wide. David wants to use mulch to cover the flower bed. The mulch is sold by the square foot. Find the area of the flower bed in square feet.
The area of the rectangle is equal to 216ft^2.
We have given that,
A flower bed is in the shape of a rectangle.
It measures 7 yards long and 3 yards wide. David wants to use a mulch to cover the flower bed.
The mulch is sold by the square foot.
A yard is equal to 3 feet.
7 yards = 7(3) = 24 feet
3 yards = 3(3) = 9 feet
What is the formula for the area of the rectangle?
Area of the rectangle= Lw
Area of the rectangle= 24(9)
Area of the rectangle= 216 ft^2
Therefore the area of the rectangle is equal to 216ft^2.
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I need help this is due tomorrow
The stem-leaf plot shows student’s scores on the last math test.
Answer:
1) 8
2) the median of the scores is 81
3) So, 8 students scored in the 70s, and the median score is 81
Step-by-step explanation:
1) the number of numbers listed is how many numbers there are
EX: 4| 1, 2, 5, 6 (where 4|1 equals 41) there are four numbers listed: 41, 42, 45, 462) the median is the middle number! when you list all of the numbers, the one in the middle is the median!
EX: 2, 4, 5, 8, 10the median would be 5! why? because it's in the middle!let me know if any of this is confusing and i'll try to explain it further :)
how to find the area of a trapezium
Which value of w makes this equation true?
[tex]\frac{5w + 4 }{3} = \frac{3w}{2}
Answer: -8
Step-by-step explanation:
[tex]\frac{5w+4}{3}=\frac{3w}{2}[/tex]
Cross-multiplying,
[tex]2(5w+4)=9w\\10w+8=9w\\w+8=0\\w=\boxed{-8}[/tex]
This is super easy. Explanation, please!
The proposition given by definition of function "division" is false as [tex]\frac{f}{g} \ne {(1, 2)}[/tex] for the former function f = (9, 5) and the latter function g = (9, 0).
How to analyse a operation between two functions by propositional approach
In this question we have a definition of division between two functions, consisting in dividing each component of the ordered pair of the former function (f) by the component of the ordered pair of the latter function (g) such that resulting ordered pair is (1, 2).
We must check if the proposition is true for every ordered pair. Let analyze each case:
Case I
[tex]\frac{f}{g} = \left(\frac{1}{1}, \frac{6}{3} \right) = (1, 2)[/tex]
Case II
[tex]\frac{f}{g} = \left(\frac{9}{9}, \frac{5}{0} \right) = (1, NaN)[/tex]
Thus, the proposition is false.
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Please help with question 2, 3 and possibly 4 if you can.
The solution of the inequality are (iii) and (iv)
The solution of the equality is x = 8.
The solution of the equality is x = 0.
How to solve inequality ?The solutions of the inequalities can be found as follows:
x³ + 3(5 - 2) ≥ 20 - 4
x³+ 3(3) ≥ 16
x³+ 9 ≥ 16
x³ ≥ 16 - 9
x³ ≥ 7
x ≥ ∛7
x ≥ 1.9
Therefore, (iii) and (iv) are solution.
4(72 - x²) = 3.12 - 4
288 - 4x² = 36 - 4
288 - 4x²= 32
-4x² = -256
x²= 256 / 4
x²=64
x= √64
x= 8
7(x + 12) = 7.12
7x + 84 = 84
7x= 84 - 84
7x= 0
x = 0
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This figure is a square, with side lengths as shown.
415 mm
What are the perimeter and the area of the square?
80
200
400
8√5 16√5
32√5
The perimeter of the square is,
The area of the square is_
millimeters.
square millimeters
The perimeter and area of the square are 16√5 mm and 80 mm²
How to find perimeter and area of a square?Perimeter of a square = 4L
where
l = lengthTherefore,
Perimeter of a square = 4 × 4√5
Perimeter of a square = 16√5 mm
Area of a square = l²
Area of a square = (4√5)²
Area of a square = 16 × 5
Area of a square = 80 mm²
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5
The photograph shows identical red books and identical black books.
All pages have the same thickness.
Which pile has the greater
mean number of pages per book?
Pile W
Pile Y
Explain how you know.
Pile Y has the greater mean number of pages per book because it is 5 books less than pile W.
How to calculate greater mean number of pages?From the complete information, we can deduce that the number of each pile of book is given as follows:
For pile W;
Red books = 10 × 5 = 50 red books.
Blue books = 5 × 5 = 25 blue books.
Therefore, total books in pile W = 50 + 25 = 75 books.
Mathematically, the mean for each pile can be calculated by using the following formula:
Mean = [F(x)]/n
Mean = 75/10
Mean = 7.5.
For pile Y;
Red books = 10 × 5 = 50 red books.
Mean = [F(x)]/n
Mean = 50/5
Mean = 10.
In conclusion, pile Y has the greater mean number of pages per book because it is 5 books less than pile W.
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Anybody please help thank you!
Answer:
alright well
from what I got x is 29.444 , y is 34 and angle b is 60 degrees
the correct answer is A.
Step-by-step explanation:
Fahari kicks a ball on the ground into the air. One
second after being kicked, the ball reaches its
maximum height of 16 feet above the ground, and
2 seconds after being kicked, the ball is back on the
ground. A quadratic function models the height h(t) ,
in feet, of the ball t seconds after Fahari kicks it.
Which equation defines this relationship?
The equation that defines the relationship between the height and the time and models the position of the ball in time is the quadratic function y = - 8 · t² + 24 · t.
How to derive a quadratic function for the height of a ball
Quadratic functions are polynomials of grade 2 of the form y = a · t² + b · t + c, where t and y are the time and the height of the ball, in seconds and feet, respectively. To determine the value of the three coefficients we need to know three different points of the form (t, y).
If we know that (t₁, y₁) = (0 s, 0 ft), (t₂, y₂) = (1 s, 16 ft) and (t₃, y₃) = (3 s, 0 ft), then the quadratic function is:
a · 0² + b · 0 + c = 0 (1)
a · 1² + b · 1 + c = 16 (2)
a · 3² + b · 3 + c = 0 (3)
The solution to this system is a = - 8, b = 24, c = 0.
The equation that defines the relationship between the height and the time and models the position of the ball in time is the quadratic function y = - 8 · t² + 24 · t.
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