Answer:
43.01m^2
Step-by-step explanation:
[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]
This is the formula for a pentagon
Answer:52.2in
Step-by-step explanation:
Did it on a test and got it correct
Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.
Althea has to select 1 student
as the class representative
from 13 students.
Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.
Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.
rolling a six-sided die
selecting a playing card from
the hearts suit
spinning a spinner divided into
five equal sections
Answer: rolling a six sided die☞︎Fiona forest research
Hearts suit☞︎Althea class representative
Spinner☞︎ Jenny marbles
Step-by-step explanation:
Answer:
Fiona= die
Althea=cards
Jenny=Spinner
Step-by-step explanation:
starting off Fiona has three which can evenly go into six.
Althea has 13 options which matches with the number of suits in the hearts
the Jenny would be spinner because 5 times 2 is 10
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.
Answer:
129 1/3
Step-by-step explanation:
According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."
The outer perimeter is 129 1/3 feet.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.
So, there are $20/4
=5$ square posts on each side, not including the corner posts.
and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.
Then, the length of a side is
= 7 1/3 + 6(5)
= 32 1/3 feet
and, The perimeter of the square
= 4 x 32 1/3
= 129 1/3 feet
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Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)
Answer:
C. (3x^2+4)(x+3)
Step-by-step explanation:
3x^3+9x^2+4x+12
=(3x^3+9x^2)+(4x+12)
=3x^2(x+3)+4(x+3)
=(3x^2+4)(x+3)
Therefore, C. (3x^2+4)(x+3)
The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 3x³ + 9x² + 4x + 12
Now, We can factor the polynomial as;
⇒ 3x³ + 9x² + 4x + 12
⇒ 3x² (x + 3) + 4 (x + 3)
⇒ (x + 3) (3x² + 4)
Thus, The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
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Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero
Answer: Option C.
Step-by-step explanation:
A function goes trough the x-axis when f(x) = 0 for some value of x.
For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:
a*x^2 + b*x + c = 0
are complex roots, this means that for the function:
f(x) = y = a*x^2 + b*x + c
there is not a real number x such f(x) = 0
So the correct option is C.
The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,
[tex]y=f(x)[/tex]
Here, x is the roots of the function.
For no value of x-intercepts, the function become,
[tex]y=0[/tex]
[tex]f(x)=0[/tex]
Here, the zeros and roots are the same, where function become equal to zero.
Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
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What is example of natural numbers
Answer:
1, 2, 3, and so on are natural numbers.
Step-by-step explanation:
Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet.
Answer:
A. 3,864 ft²
B. 1,319.585 ft²
C. 2,544.415 ft²
Step-by-step explanation:
Area of triangle:
½ × 92 × 84
3864 ft²
Area of circle:
pi × r²
3.14 × 20.5²
1319.585 ft²
Difference:
3864 - 1319.585
2544.415 ft²
A company specializing in building robots that can clean your house has found that the average amount of time kids spend cleaning their houses is about 2 hours per week. If their sample size was 1000 randomly chosen kids and the standard deviation was 0.3 hours, what is the margin of error for a confidence interval of 95%?
Answer:
0.588
Step-by-step explanation:
Margin of error is:
ME = CV × SE
where CV is the critical value (z score or t score), and SE is the standard error (standard deviation of the sample).
Since n is large, we can approximate as a normal distribution. At 95% confidence level, z = 1.96.
Therefore, the margin of error is:
ME = 1.96 × 0.3
ME = 0.588
Using the z-distribution, it is found that the margin of error for a 95% confidence interval was of 0.0186.
What is a z-distribution confidence interval?The interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The standard deviation for the population and the sample size are given, respectively, by:
[tex]\sigma = 0.3, n = 1000[/tex]
Hence, the margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{0.3}{\sqrt{1000}}[/tex]
M = 0.0186.
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A line passes through the points (4, -1) and (2,3). What is the slope of the line?
Answer:
-2
Step-by-step explanation:
image attached!
What positive value of x makes the following equation true: x^2 = 289? Expain
Answer:
17
Step-by-step explanation:
17x17= 289
Answer:
The square root of 289 is also 17.
Step-by-step explanation:
Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different arrangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP for brainliest answer!
Answer:144 ways
Step-by-step explanation:
Given
There are 7 different models cars
out of which three are blue and 4 are red
If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed
But these 3 cars can be arranged in 3! ways
Remaining 4 cars can be arranged in remaining 4 spots in 4! ways
Therefore total no of ways are
[tex]=3!\times 4![/tex]
[tex]=6\times 24=144\ ways[/tex]
Samira is playing a game with the spinner shown. a. What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin? Enter as a fraction. b. Predict how many times the pointer will land in a section labeled with the letter A after 300 spins. J J O S H U A A K E a. The theoretical probability that the spinner will land on a section labeled A is . (Type an integer or a simplified fraction.)
Answer:
A. 1/5
B. 60 times
Step-by-step explanation:
The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60
We have given that the Samira is playing a game with the spinner shown.
We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin.
What is the probability of spinner?This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.
Thus,The theoretical probability that the spinner is 1/5.
and also the pointer will land in a section labeled with the letter A after 300 spins.
Therefore we get,
[tex]1/5\times 300/1=300/5=60[/tex]
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5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply
Answer:
see below
Step-by-step explanation:
Let w = width
L = length = w+5
The area is l*w
A = (w+5)*w
A = w^2 +5w
The radius of the earth is 3959 miles. A meteor with a diameter of 750 miles strikes the earth in an unpopulated area. What percent of the earths surface is affected by the meteor strike? Is it a 36% be 0.9% C9% or D3.6%
Answer:
B. 0.9%
Step-by-step explanation:
If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles
The radius of the earth is 3959 miles
Assuming that both bodies are spherical, their surface are:
meteor's surface: π*r² = π*375² = 441786.467 miles²
Earth's surface: π*3959² = 49240321.1 miles²
If 49240321.1 miles² represents 100% then 441786.467 miles² represents:
49240321.1 miles² / 100% = 441786.467 miles² / x%
x = 441786.467/49240321.1*100
x = 0.9%
Answer:
B) 0.9%
Step-by-step explanation:
In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
Which of the following statements is not true?
Event A: stops on red
Event B: stops on yellow
Find P(A or B)
A.) 1/4
B.) 1/8
C.) 1/2
D.) 1/16
Answer:it is 1/2
Hopefully this helps
Answer:
Event A: stops on red
Event B: stops on yellow
Find P(A or B)
1/2
The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
Will give brainliest answer
Answer
Step-by-step explanation:
To find the area of a shape multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
please mark me as brainliest.
Answer:
[tex]7 units^2[/tex]
Step-by-step explanation:
You can split this irregular shape into a square and a trapezoid.
The formula for a square is:
[tex]A=lw[/tex]
The formula for a right trapezoid:
[tex]A=\frac{1}{2} (h)(a+b)[/tex]
Area of square:
[tex]A=(2)(2)\\A=4[/tex]
Area of right trapezoid:
[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]
Add up the individual areas to find the overall:
4 + 3 = 7
HELP ME PLZ ASAP!!!!!
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
Answer:
The variable X should be 30.
Step-by-step explanation:
∠132=5(30)-18° = ∠132=3(30)+42°
5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
please help me out! i have a few more of these questions, about 4
Step-by-step explanation:
You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!
Answer:
Step-by-step explanation:
put a point in at negative 1 first; that is the y value.
Then, go up 1 then to the right six points. that should result in the next point being at (0,6).
Keep going and draw a line
x ≥ 63.4
x ≤ 96.6
x ≤ 63.4
x ≥96.6
Answer:
x ≤ 63.4
Step-by-step explanation:
.25x+4.15 ≤20
Subtract 4.15 from each side
.25x +4.15 -4.15 ≤ 20-4.15
.25x ≤ 15.85
Divide each side by 15.85
.25x/.25 ≤ 15.85/.25
x ≤ 63.4
this box holds cereal. how many cubic inches of cereal can it hold the size of the box is 6 in,2 in,12 in
Help I will mark BRAINLIEST if correct please help
Answer:
[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]
Step-by-step explanation:
If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]
!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.
Answer:
C
Step-by-step explanation:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
What is the perimeter of this rectangle? Will mark brainliest.
Answer:It's C, 425 ft.
Step-by-step explanation:
You multiply 17 ft. by 25 ft.
Answer:
84 feet
Step-by-step explanation:
there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet
to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.
therefore 84 feet is your answer.
Which situation is most likely to have a constant rate of change?
A. The total amount paid for gas compared with the number of
gallons purchased.
B. Distance a delivery truck travels compared with the number of
deliveries made
) C. Number of flowers in a flower bed compared with the area planted
D. Points scored in a basketball game compared with the number of
quarters played
Answer:a
Step-by-step explanation:
Please help me please
Answer:
⅓
Step-by-step explanation:
Total 6 possible outcomes
Same colour:
White, white
Blue, blue
P(same colour) = 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
Looking at the possibilities ( there are 6)
There are 2 that have the same shirt and shorts of the same color ( white white and blue blue)
That means we have 2 out of 6 that meet the requirements
2/6 = 1/3
A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?
y = x - 1
y = 1.25x
y = 0.8x
y = x + 1
y = 1.25 x equation shows the correct relation of x
What is linear graph?
Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.
According to the question,
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = k. x
k is constant of proportion
Four pounds of apples cost $5
5 = 4. k
k = 5/4 = 1.25
As it should be, k is a constant equal to 1.25
y = 1.25 x for 4 pounds of apples
Hence, y = 1.25 x equation shows the correct relation of x
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Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!
Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
