Question
An octagon has a side length of 15 feet and an area of 1089.6 ft²
Find the area of a smaller octagon that has a side length of 7 feet.
Answer:
237.3ft²
Step-by-step explanation:
We are given two octagons in the above question.
Side length of larger octagon = 15 ft
Area of larger octagon = 1089.6 ft²
The area of a smaller octagon = X
Side length of smaller octagon = 7 ft.
We solve for this using scale factor
Scale factor(k) = ratio of the side length of the octagon = smaller side length/ larger side length
k = 7/15
It is important to note that
The square of the scale factor k = ratio of the areas of the octagon
Hence,
k² = X/1089.6 ft²
(7/15)² = X/1089.6 ft²
7²/15² = X/1089.6 ft²
Cross Multiply
15² × X = 7² × 1089.6ft²
X = 7² × 1089.6ft²/15²
X = 237.29066667ft²
Approximately, the area of the smaller octagon = 237.3ft²
In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%.I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated.
Answer:
i. weight of wastage(kg) = 179.775 kg
ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg
percentage of rice cultivated = 100 - 23.5 = 76.5%
Step-by-step explanation:
A land of 1000 sq. meter is used to cultivate 765 kg of rice with wastage of 23.5%.
i. The wastage in percentage is 23.5% but the weight of the wastage in weight is 23.5% of 765 kg
weight of wastage = 23.5/100 × 765
weight of wastage = 17977.5/100
weight of wastage(kg) = 179.775 kg
ii. weight and percentage of rice cultivated.
weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg
percentage of rice cultivated = 100 - 23.5 = 76.5%
Please helppppp meeeeee it would mean the worlddddd
Answer:
x = 7.5
Step-by-step explanation:
URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2
Answer:
2x3 + 6x2
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2
Answer:
C. [tex] AB = 5\frac{5}{7} [/tex]
Step-by-step explanation:
When two polygons are considered similar, the ratio of their corresponding sides would also be equal.
Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]
[tex] \frac{7}{4} = \frac{10}{AB} [/tex]
Cross multiply
[tex] 7*AB = 10*4 [/tex]
[tex] 7*AB = 40 [/tex]
Divide both sides by 7 to find AB
[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]
[tex] AB = \frac{40}{7} [/tex]
[tex] AB = 5\frac{5}{7} [/tex]
An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.
Answer:
b, d, e
Step-by-step explanation:
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Define Ellipse.An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Find out more information about ellipse here:
https://brainly.com/question/19507943?referrer=searchResults
write the coordinate point for the vertex of this parabola x=-1/8y^2
Answer:
(0,0)
Step-by-step explanation:
x = -⅛y²
The equation exchanges x and y, so this is a sideways parabola.
It opens to the left because the coefficient of y² is negative.
The vertex form of a sideways parabola with its vertex at (h, k) is:
x = a(y – k)² + h
Your equation is
x = -⅛(y - 0)² + 0
By comparing the two equations, we find that
h = 0; k = 0.
The vertex is at (0, 0).
The Figure shows your parabola with its vertex at (0,0).
Answer:
(0,0)
Step-by-step explanation:
The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The
scatter plot shows the data she gathered and the line of best fit.
Answer:
25 students
Step-by-step explanation:
Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.
To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.
Then from the line of best fit, now trace to the y-axis.
This gives an answer 25.
Plz help ASAP I WILL GIVE BRAINLIEST!!
Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now?
A. 75
B. 40
C. 29
D. 63
Answer:
B. 40
Step-by-step explanation:
She starts with 46 and sells half of them
That leaves her with 23 stamps left.
She then buys 17 more, 23 + 17 is 40
Answer is B
Answer:
B. 40 stamps
Step-by-step explanation:
We know that she sold half of her stamps. She started with 46 stamps.
First, find 1/2 of 46.
Multiply 1/2 and 46, or divide 46 by 2.
1/2 *46= 23
46/2=23
She sold 23 stamps, and was left with 23 stamps.
Then, she bought 17 more. If she bought more, she added to the amount she already had.
Therefore, we can add 23 and 17.
23+17=40
She has 40 stamps now.
Please help emergency and add explanation too pleaSE
Answer:
1
Step-by-step explanation:
Change 1/2 to 0.5. Then, do the problem of 0.75-0.25+0.5.
Step-by-step explanation:
is your answer mate ......
(10,16) and (-28, -16)
What is the midpoint of a segment
with the endpoints shown to the
left?
(-18, 0)
(-9, 2)
(19,16)
(-9,0)

Answer:
(-9, 0)
Step-by-step explanation:
To find the midpoint of the segment, we use the mathematical formula below;
(x,y) = {(x1+x2)/2 , (y1+y2)/2}
From the question;
(x1,y1) = (10,16)
(x2,y2) = (-28,-16)
Substituting these values into the equation we wrote above, we have;
(x,y) = (10-28)/2 , (16-16)/2
(x,y) = (-18/2, 0/2) = (-9,0)
Can someone help with this trig ? pls
Answer:
45°
Step-by-step explanation:
To find you answer, we take the inverse sin(√2/2). When you plug that into your calc, you get 45°.
Alternatively, if you learned and remembered your unit circle, inverse sin(√2/2) would be π/4.
A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slise th BOXES are the options PLEASE I NEED HELP RIGHT NOW
Answer:
3.53 inch
Step-by-step explanation:
area = 1/8 π r² with r=3 inch (half diameter)
= 9/8 π ≈ 3.534 inch²
Answer:
2.53 in,3.53 in
i hope this helps sorry if it doesn't
-28=7(x-7) What does x=
Answer:
so x=3
Step-by-step explanation:
-28=7(x-7)
opening the brackets by multiplying
-28=7x-49
adding 49 on both sides
-28+49=7x-49+49
21=7x
dividing 7 on both sides
21/7=7x/7
x=3
i hope this will help you :)
Answer:
-28=7(x-7)
First expand the terms on the right side
That is
-28 = 7x - 49
Group like terms
7x = -28 + 49
7x = 21
Divide both sides by 7
7x/7 = 21 /7
x = 3
Hope this helps
The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.
Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
The diagram shows an empty tank in the shape of a horizontal prism of length 150 cm.
The cross section of the prisin is an isosceles trapezium ABCD.
AB= 50cm, CD- 70 cm and the vertical height of the trapezium is 40 cm.
(0) Calculate the volume of the tank. it is a math question
Answer:
2400
Step-by-step explanation:
Area of a trapezoid: (b₁ + b₂) / 2 * h
= (70 + 50) / 2 * 40
= 60 * 40 = 2400
Write an equation in point-slope form for each line (If possible please show work)
Answer: y-2=1/4(x-1)
Step-by-step explanation:
The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.
y-2=1/4(x-1)
Find a formula for the general term of each of the following sequences a)7,13,19,25,31
Answer:
aₙ= 6n+1
Step-by-step explanation:
7,13,19,25,31
Given, AP with the first term of 7, and common difference of 6
Nth term:
aₙ= a₁+(n-1)d= 7 + (n-1)*6= 7+6n-6= 6n+1aₙ= 6n+1Help please! THANK YOU!
Answer:
4
Step-by-step explanation:
1-(-3)=4
rise is 4
Answer:
It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest
Answer:
not possible
Step-by-step explanation:
The Law of Detachment is:
If p, then q. p is true. We can then conclude q is true.
For example:
If it rains, the grass gets wet. It is raining. Then the grass is wet.
In the problem in this post, it is not possible to use the Law of Detachment because we have:
If p then q. q is true. We are not told p is true, so we cannot conclude q is true.
Answer: not possible
Solve the equation 3/2(y-1) =y+5 and represent the solution on number line and on the cartesian plane...... pls solve it and spam answers will be reported and if it is truly the correct answer i will 100% sure mark it as brainleist
Answer:
y = 13
Step-by-step explanation:
Step 1: Distribute
3/2y - 3/2 = y + 5
Step 2: Subtract y on both sides
1/2y - 3/2 = 5
Step 3: add 3/2 on both sides
1/2y = 13/2
Step 4: Divide both sides by 1/2
y = 13
Answer:
y = 13.
Step-by-step explanation:
3/2(y-1) = y+5
3/2y - 3/2 = y + 5
3/2y - y = 5 + 3/2
1/2y = 6 and 1/2; 6.5; 13/2
y = 13.
To check out work...
3/2(13 - 1) = 13 + 5
3/2(12) = 18
3 * 6 = 18
18 = 18
On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.
Hope this helps!
If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.
Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.
Work:
In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.
So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.
25/2 = 12.5
That means, the vehicle is traveling at a speed of 12.5 mph.
Thus, the average speed of the vehicle is 12.5 miles per hour (mph).
What are the domain and range of f(x) = 2x - 4?
Answer:
y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph
Step-by-step explanation:
If function ghas the factors (x-7) and (x + 6), what are the zeros of function g?
Answer:
x = 7, -6
Step-by-step explanation:
Since they already give you the binomial factors, all you need to do is set them equal to 0 to find your roots:
x - 7 = 0
x = 7
x + 6 = 0
x = -6
Answer:
The zeros are 7 and -6Step-by-step explanation:
(x-7)(x+6)=0
x-7=0/(x+6)
x cannot be -6
x-7=0
x=7
x+6=0/(x-7)
x+6=0
x=-6
The zeros are 7 and -6
According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)
please help to solve this question
Find H.C.F
i) x^3-y^3, x^6-y^6, x^4+ x^2y^2+y^4
Answer:
No Like terms
Step-by-step explanation:
x^3-y^3= No like terms (its simplified)
x^6-y^6= No like terms (its simplified)
x^4+ x^2y^2+y^4 = No like terms (its simplified)
Hope this helps! Have a nice day :)
Answer:
x^2+xy+y^2
Step-by-step explanation:
x^3-y^3= (x-y)((x^2+xy+y^2)x^6-y^6=(x^3+y^3)(x^3-y^3)= (x^3+y^3)(x-y)(x^2+xy+y^2)x^4+ x^2y^2+y^4= x^4+2x^2y^2+y^4 - x^2y^2= (x^2+y^2)^2 -x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)HCF is x^2+xy+y^2 as it is the factor of all three polynomials
897-113×2:2+113
A) 888
B) 987
C) 898
D) 1694
E) 897
Answer:
d it is what it is my man's
One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?
Answer:
1m = 100 cm
First sprinter stride is 120 cm. Steps he will take
= 100/1.2 = 83 1/3 steps
Second sprinter takes a stride of 75 cm
= 100/0.75 = 133 1/3 steps
What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.
Answer:
√126Option D is the right option.
solution,
[tex] \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} [/tex]
Hope this helps..
Good luck on your assignment.
Hope
Using the distance formula, find the distance between two points. (6, 0) (-5, 4)
Answer:
11.7046999
Step-by-step explanation:
using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:
d=√(6-(-5)² + (0-4)²
d=√(11)²+ (-4)²
d=√121+16
d=√137
d approximately equal to (≈) 11.7046999 or 11.7 or 11
You want to know whether the students in your school enjoy the school lunch. You survey every student in your class. Is this survey biased or unbiased?
Answer:
biased
Step-by-step explanation:
on my quiz good luck
The survey is biased because a biased sample favors one or more segments of the population over others.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
You want to know whether the students in your school enjoy the school lunch.
As we know,
A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.
The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it
Thus, the survey is biased because a biased sample favors one or more segments of the population over others.
Learn more about the survey here:
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