Kiyo is designing a rectangular garden with a 2-ft wide path all the way around it. The length of the garden is 3 times as long as the width. Kiyo models the area of his garden and the path with the equation f(x) = (x + 2)(3x + 2). Explain Kiyo’s error
Answer:
The correct equation that models the area if x(3x) or 3x² where x is the width of the pathStep-by-step explanation:
Area of a rectangle = Length *Width
Width of the rectangular garden W = 2ft
If the length of the garden is 3 times as long as the width, then length = 3 * width i.e W = 3L
Since Area of the path A = L* W
A = (3W)W
A = 3W²
If the width is the same as x then
Area f(x) = (3x)(x)
According to kyle, the area of his path f(x) = (x + 2)(3x + 2) which is wrong because of kyle addition of 2 to each of the value of the length and width respectively which kyle shouldn't have added any value to the dimension to the garden
1) Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
The radius of the base of the small cone is 3 feet
Step-by-step explanation:
The question requires the determination of the radius of the smaller cone
Therefore, height of the larger cone = 10 feet
Base diameter of the larger cone = 10 feet
Height of horizontal plane of small plane above base of larger cone = 4 feet
Hence the height of the small cone = 6 feet
Therefore, by similar triangles, and tangents we have;
[tex]\frac{Height \, of \, small \, cone}{Height \, of \, larger\, cone} =\frac{Diameter \, of \, base \, of \, small \, cone}{Diameter \, of \, base \, of \, larger \ cone} =\frac{6}{10} = \frac{x}{10}[/tex]
Where:
x = The diameter of the base of the small cone
Therefore;
[tex]{x} = \frac{6}{10} \times 10 = 6 \, feet[/tex]
The radius of the base of the small cone = half the diameter of the base of the small cone
∴ The radius of the base of the small cone = (6 feet)/2 = 3 feet.
Answer:
the radius would be 3
Step-by-step explanation:
so what it's saying si there;s a cone with diameter 10 and height 10, the 4 feet above the bottom of the cone is the base of the smaller cone. The height of the smaller cone becomes 6, making the diameter 6 as the ratio becomes 6:6, and radius is diameter/2 becoming 3
Mr. Stanley bought a car that was marked down 18%.
Write an expression for the price, p
*Hint: Subtract the percentage from 100 and write it as a decimal*
Answer:
P=100-0.18
Step-by-step explanation:
Remember, percent means per every 100. So if the car cost $100, Mr. Stanley saves $18 on the car. Also, 18%= 0.18. And just for extra, single digit percents would be expressed with an extra zero in front of it, such as 5%=0.05.
Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?
A. 2 inches to 1 foot
B. 1 inch to 2 feet
C. 2.5 inches to 1 foot
D. 1 inch to 5 feet
Answer:
B. 1 inch to 2 feet
Step-by-step explanation:
from 2.5 inches by 2 inches to 5 feet by 4 feet
hence.
the scale factor is "2 inches to 4 feet" which is 1 inch to 2 feet
What is the volume of the cylinder? Use 3.14 for π, and round your answer to the nearest tenth. Enter your answer in the box.
Answer:
The equation to solve the volume of a cylindar is Pie times the radius squared times the height of the cylindar. The radius is distance from the center of the circle outwards.
Answer:
The answer is 235.5
Step-by-step explanation:
If 18√8- 8√18 = √n, what is n?
Answer:
1440
Step-by-step explanation:
[tex]18 \sqrt{8} - 8 \sqrt{18} = \sqrt{n} \\ {18 \sqrt{8} }^{2} - {8 \sqrt{18}}^{2} = n \\ 2592 - 1152 = n \\ 1440 = n[/tex]
Which of the following are polynomials?
Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a fourth of 5 more than Joan completed. What is the number of free throws, n, that Joan completed? A. 23 B. 16 C. 26 D. 33
Answer:
Hello There I think the correct answer is 16
Because you need to multiply to order to get the answer.
6=x+5/3
18/3=x=5/3
18=X+5
X=13
Answer:
B
Step-by-step explanation:
Pleaser answer CORRECTLY , WILL MARK BRAINLIEST !!!!!!!!!
Answer:
Step-by-step explanation:
-3a + 6b = a + 4b
-4a + 6b = 4b
-4a = -2b
a = -2b/-4
f(a) = -b/2
I will give brainliest answer. Minneapolis, Minnesota and Portland, Oregon have very similar latitudes. (Latitude measures how far north or south a place is, which in turn affects the temperature.) The histograms below show the daily high temperatures (in degrees Celsius) that were recorded during July 2013 in each city.
Which pieces of information can be gathered from these histograms? Choose all answers that apply:
A)
It was warmer in Minneapolis every day.
B)
Minneapolis had the coldest daily high temperature of these two cities.
C)
None of the above
Answer:
The correct answer should be B
Answer:
b
Step-by-step explanation:
khan
A market researcher selected 400 people at random from a group of people who indicated that they liked a certain comic book. The 400 people were then shown a television series based on the comic book and then asked whether they liked or disliked the television series. Of those surveyed, 90% said they liked the television series. Which of the following inferences can be appropriately drawn from this survey result?
Most people who like the comic book will like the television series.
Most people who dislike the comic book will dislike the television series.
At least 90% of people who watch the television series will like it.
At least 90% of comic book fans will like the television series.
Answer:
Most people who like the comic book will like the television series.
Step-by-step explanation:
The result says that 90% of the people who likes the comic book also likes the television series which indicates that most people who liked the book will also like the television series.
Which three-dimensional figure is made from the net shown?.Help me
Answer:
Its very obviously B
Step-by-step explanation:
If m is 21 inches, j is 28 inches, and ∠K measures 90°, then find k using the Law of Cosines. Round your answer to the nearest tenth.
35 in
49 in
1,225 in
2,401 in
Answer:
a) 35
Step-by-step explanation:
k^2 = m^2 + j^2 - 2(m)(j) cosK
k^2 = 21^2 + 28^2 - 2(21)(28)(cos90)
k^2 = 441 + 784 - 2(588)(0)
k^2 = 1225 - 0
k^2 = 1225
√k^2 √1225
k = 35
Answer:a 35
Step-by-step explanation:
took the test
Can someone help me please!
You just have to resolve it, the ones that doesn’t have an x
Answer:
5. =1
6. =[tex]-\frac{1}{3}[/tex]
10. = The last solution
Step-by-step explanation:
Evaluate
4!+3!/2!
8
10
15
Answer:
=27
Step-by-step explanation:
4!+3!2
!=24+3!2!
=24+62!
=24+62
=24+3
=27
Hope this helps.
Answer:
15
Step-by-step explanation:
What’s the area of this shape
Answer:
I believe its 27 hope this helps
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
times the short side by the long side that will give you you area
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2,4)?
Y=-5/2x-1
y=-5/2x+5
y=2/5x-1
Y=2/5x+5
Answer:
y=-5/2x-1
Step-by-step explanation:
change the equation to slope intercept form
y=-5/2x+6
graph the point (-2, 4)
use the slope of the equation to find the y intercept
y intercept = -1
write equation of the parallel line using the same slope of the first line
-5/2x
and the y intercept of the new parallel line -1
y=-5/2x-1
Which of the following are alternate interior angles? Select all that apply.
A. ∠5 and ∠4
B. ∠6 and ∠5
C. ∠2 and ∠8
D. ∠8 and ∠1
E. ∠3 and ∠5
Answer:
the alternative interior angles are c and e
Please answer !!!!!!!! Will mark brainliest whoever answers correctly !!!!!!!!
Answer:
g(q) = 5/8q
Step-by-step explanation:
-7q + 12r = 3q - 4r
Add 4r to each side
-7q + 12r+4r = 3q - 4r+4r
-7q +16r = 3q
Add 7q to each side
-7q+7q +16r = 3q+7q
16r = 10q
Divide each side by 16
16r/16 = 10q/16
r = 5q/8
g(q) = 5/8q
An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is 15 stories high. If all of the modules were divided evenly among the number of stories, how many modules would be on each floor? How many different rectangular prisms could be made from that number? If all of the modules were divided evenly there would be modules on each floor. different rectangular prisms could be made from the number of modules on each floor: × 1 × 1 and 2 × × 1.
Answer:
Part 1. 10 modules per floor
Part 2. Two different rectangular prism
Step-by-step explanation:
Let
x ----> the number of modules
y ---> the number of stories
we have
x=150\ modules\\y=15\ stories
Divide the number of modules by the number of stories
so
\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}
square 20cmx20xm
What is the volume of your box?
What different volumes can you make by
varying the size of the squares you cut out?
What is the maximum possible volume of this
type of box that can be made from a 20cm by
20cm square of paper?
Answer:
8,000
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Volume is measured by length times height times width
Jayla reads 35% of her book over 7 days. If Jayla reads the same number of pages each night, how many more days will it take her to finish her book?
Answer: It will take her 13 more days.
Step-by-step explanation:
1. 35/7 = 5
2. So that means every day she reads 5 percent of her book.
3. 100-35=65
4. She has 65% more of her book to read
5. 65/5 = 13
6. It will take 13 more days to complete the book.
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A: x = 0
B: y = 0
C: x = 1
D: y = 1
Answer: y+0
As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.
Step-by-step explanation:
What is the surface area of the prism?
Answer:
Surface Area of a Prism. The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases.
Step-by-step explanation:
On Monday, Jake could lift 40 lbs. One month later he could lift 85 lbs. What is the percent of change in the number of pounds he can lift?
Answer:
112.5 percent
Step-by-step explanation:
Change: 45 lbs.
45/40
1.125
1.125x100=112.5 percent
pls help me find the lateral surface area!!
Answer:
88m^2
Step-by-step explanation:
In order to find the lateral surface area of a cylinder, you must use this formula: 2πrh. In this problem we are given the diameter and height. Divide the diameter by 2 to get the radius and plug the radius and height into the formula. With our equation that we just created, we get the answer 87.96. 87.96 rounded to the nearest tenth is 88.
On a coordinate plane, a circle has a center at (0, 0). Point (0, negative 5) lies on the circle. The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle? Identify the radius from the graph. r = __units Determine the distance from the center to (–3, –4) using the distance formula. distance =___ units Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?
The point (–3, –4) does lie on the circle with a center at (0, 0).
We know that the point (0, 5) lies on the circle, and since the center is at (0, 0), the distance from the center to (0, 5) gives us the radius.
Using the distance formula:
radius = √((0 - 0)² + (5 - 0)²)
= √0+25
=√25
= 5 units
So, the radius of the circle is 5 units.
Next, let's determine the distance from the center (0, 0) to the point (–3, –4) using the distance formula:
distance = √ (0- (-3))²+ (0-4(-4))²
= √ 3² + 4²
= √9 +16
= √25
= 5 units
The distance from the center to (–3, –4) is also 5 units.
Since the distance from the center to (–3, –4) is equal to the radius of the circle, the point (–3, –4) lies on the circle.
Therefore, the point (–3, –4) does lie on the circle with a center at (0, 0).
Learn more about Distance formula here:
https://brainly.com/question/25841655
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CaN sOmEoNe HeLp Me PlZ :)
Answer:
6
Step-by-step explanation:
divide the shape into a triangle and square
the triangle area is 1/2hb= 1/2 2*2 =2
the square are is a ^2 = 2^2 = 4
4+2 =6
Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3 five cans of paint to paint square to how many cans of paint should he need to paint square one
Complete question:
Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3, five cans of paint to paint square 2 to how many cans of paint should he need to paint square one
Picture of squares is attached.
Answer:
9 cans of paint.
To paint square 1, he needs 9 cans of paint.
Step-by-step explanation:
Given that to paint square 3, four cans of paint are needed.
Therefore, let's take area of the square 3 as 4.
i.e a² = 4
Solving further, we have :
[tex] a = \sqrt{4} [/tex]
a = 2
We can say, each side of square 3 = 2 units
To paint square 2, five cans of paint are needed. Let's take the area of 2 to be 5.
i.e b² = 5
Solving further, we have :
[tex] b = \sqrt{5} [/tex]
We can say, each side of square 2 = [tex] \sqrt{5} [/tex] units
Using Pythagoras theorem, we have that the area of the square of a hypotenuse in a 90° angle is equal to the sum of the areas of the other two squares.
Therefore,
[tex] h^2 = 2^2 + \sqrt{5}^2 [/tex]
h² = 4 + 5
[tex] h = \sqrt{9} [/tex]
h = 3 units.
We now know one side of the square 1 is 3 units.
Area of square 1 = 3²
Area = 9.
Therefore to paint square 1, he needs 9 cans of paint.