Answer: B) Rotation
Explanation:
The preimage has been rotated 180 degrees to land on the image.
Proof of this is to note that a point like (2,2) maps to (-2,-2)
The 180 degree rotation rule is [tex](x,y) \to (-x,-y)[/tex]. We flip the signs of each coordinate.
You can accomplish the same thing with two reflections: one over the x axis and the other over the y axis. However, a rotation is more direct.
jeff is making a fruit salad. he has 1 1/3 cups blackberries and 2 1/2 cups of strawberries. how many cups of blackberries does he have for every 1 cup of strawberries
The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
What are the mixed numbers?Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.
Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,
[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]
Jeff has 2 1/2 cups of strawberries. In the fractional number,
[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]
Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,
[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]
Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
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I don't understand someone help pls
Answer:
Find x
The angles are corresponding.
We have
x+35°+90°=180 (angles in a triangle)
x= 55°
Please give Brainliest
Answer:
x = 20 degrees
Step-by-step explanation:
I cannot give a thorough explanation but I will show my workings and reasoning.
Reasoning:
Vertically opposite angles are equal
Angles in a triangle add up to 180 degrees
Workings:
35 multiplied by 2 is 70
70 add 90 is 160
180 minus 160 is 20
x = 20
Mary is inscribing a square in the circle shown, but she is having difficulty remembering the process.
Which summary describes the basic process for constructing a square inscribed in the circle?
A.
Create the perpendicular bisector of FO. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
B.
Set the compass width to the length of FO, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
D.
Set the compass width to the length of FG, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
Make the FG perpendicular bisector. Then draw the square using the perpendicular bisector's points of intersection with the circle, as well as points F and G is the correct procedure. Option C is correct.
What is the procedure for constructing a square inscribed in the circle?The procedure is as follows:
1. A circle's diameter is drawn.
2. Using the approach given in the perpendicular bisector of a segment, draw a perpendicular bisector of the diameter. This is also the circle's diameter.
3. The vertices of the inscribed square are the four points on the circle that result.
The summary describes the basic process for constructing a square inscribed in the circle is to create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
Hence,option C is correct.
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Answer: C
Step-by-step explanation:
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
What is the width of the ornament at the volume of 2664.31 cm (use 3.14 for)
Answer:
33.6
Step-by-step explanation:
this is a circle
so
the area of a circle = pi x radius squared(since it's a 2-D shape)
but this is 3-D
so
V = 2664.31 = (4/3)([tex]\pi[/tex][tex]r^{3}[/tex])
you could also use
A = ³√(36 * π * V²) when A is the surface area
but those are too long, so let us just use the answer choices
V = 3.14 x answer choice x radius sqaured
V = 3.14 x 8.6 x radius sqaured
2664.31 = 3.14 x 8.6 x radius sqaured
radius sqaured = 2664.31/3.14 x 8.6
radius sqaured = 2664.31/27.004
radius sqaured can't be made with this
lets skip V
radius sqaured = 2664.31/3.14 x 17.2
radius sqaured = 2664.31/54.008
since 27.004 didn't work, and 54.008 is 2 times as that
radius sqaured = 2664.31/3,14 x 33.6
radius sqaured = 2664.31/105.504 ≈ 25
25 square rooted is 5
so
33.6
what is the solution to this inequality?
-4(d-2) <-12
d > 5
d < 5
d < 1
d > 1
Work Shown:
[tex]-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5[/tex]
In the second to last step, the inequality sign flips because we divided both sides by a negative number.
can someone do this for me please?! Just the answer pls
Answer:
1 is A. 4
2 is Center: (-3, -4) and radius: 7
3 is C
Let me know if you do change your mind and want work shown !
what is 40% of 526,367.50
Answer:
[tex]210547[/tex]
Hope this helps. :)
Answer:
210547
Step-by-step explanation:
Multiply 526, 367.50 by 40 percent than the answer you get from that subtract from 526,367.50 then you get 210547.
Hope this Helps!
:D
What is the exact area of a circle having diameter 3 in.?
Answer:
7.065 in^2
Step-by-step explanation:
Answer:
7.06858...in²
if we are using 3.14
7.065in²
Step-by-step explanation:
3 / 2 = 1.5
A = πr²
A = π(1.5²)
A = π(2.25)
A = 7.068in²
(if we are using 3.14 for pi)
A = πr²
A = 3.14(1.5²)
A = 3.14(2.25)
A = 7.065in²
The prism shown represents a storage bin for a barn. The dark face will be open to allow people to place items inside.
A net of a triangular prism. Face A is shaded.
Which face of the net represents the open face of the prism?
A
B
C
D
Answer:
its A
Step-by-step explanation:
A store sells pool floats.
• The retail price was a 20% markup over the
manufacturer price.
• A month later, the store reduced the retail price
of the pool float by 12%.
What percent markup is the new retail price over the
manufacturer price?
Step-by-step explanation:
the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).
now, the whole retail price is reduced by 12%.
that means we have to subtract 12% from the 120%.
but careful, we cannot just do 120-12=108.
that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.
we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.
we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :
120 × 0.88 = 105.6%
so, the new retail price is now only 5.6% over the manufacturer price.
The base of a ladder is 2.8m placed away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calculate the length of the ladder.
Step-by-step explanation:
Hello all beautiful your day
Solids X and Y are similar. X has volume of 64cm^3, Y has a volume of 729cm^3, the surface area of X is 208cm^2, work out the surface area of Y
The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²
How to solve for surface area?Volume:
Solid X = 64cm³Solid Y = 729cm³Surface area:
Solid X = 208cm²Solid Y = xRatio of volume to surface area of solid X and Y respectively
64 : 208 = 729 : x
64/208 = 729/x
cross product64 × x = 208 × 729
64x = 151,632
x = 151,632 / 64
x = 2,369.25cm²
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A store buys 11 sweaters for $55 and sells them for $286. How much profit does the store make per sweater?
Answer:
The store makes $21 per sweater.
This is the same as the constant of proportionality between the profit made and the number of sweaters sold.
Step-by-step explanation:
$286−$55
Total Profit=$231
Profit Per Sweater=11/$231
Profit Per Sweater=$21
If store buys 11 sweaters for $55 and sells them for $286 then the store makes a profit of $21 per sweater.
To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.
Cost per sweater = Total cost / Number of sweaters
= $55 / 11
= $5
Selling price per sweater = Total selling price / Number of sweaters
= $286 / 11
= $26
Profit per sweater = Selling price per sweater - Cost per sweater
= $26 - $5
= $21
So, the store makes a profit of $21 per sweater.
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hello is anyone free to help me?
Probality is given by the ratio of the number of the one type of product to the total number of the product .
so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple
so green apple = 10- 7 = 3 apples
List all of the factors of 78. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a space after the comma.)
Answer:
1, 2, 3, 6, 13, 26, 39, 78
Step-by-step explanation:
The factors of a number are the numbers that "go into" 78 "evenly" that is, without a remainder. You can make a factor tree or divide to find the prime factors. Any combination "goes into" 78. That's why we'll include 6 and 26 on this list.
1×78
2×39
3×26
6×13
all make 78!
7!
——————-
————-
please help!!
——————
math geniuses where r uuuu
————
help!
Answer:
It is the fourth option, D.
Guests at a wedding have an appetizer
choice of soup or a salad, an entrée choice
of chicken, steak, or vegetarian, then a
dessert choice of vanilla or chocolate cake.
How many different meals are possible?
3421880 number of the different meals are possible.
What is the combination?The arrangement of the different things or numbers in the number of the ways is called as the combination.
It is given that:-
Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.
So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,
so the number of possible meals to this point is
n = 7 x 10 = 70
Finally, you finish off with a dessert, so the number of meals is:
n = 70 x 4 = 280
Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is
n = 77 x 1010 x 44 = 3421880
Therefore 3421880 different meals are possible.
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i'll give brainliest and points to whomever answers these two questions, thank you so much in advance!
Q8- what's the S.S of the inequality: x² + 4 > 2
a) R
b) ∅
c) R-
d) R+
Q9- if x + yi = (1 + i)⁴ , then x + y = ......
a) 4
b) - 4
c) 2
d) - 2
an explanation for future reference would be GREATLY appreciated, thank you again T^T
Answer:
Answer b of the first one
answer of q9
Step-by-step explanation:
(x+iy)(2−3i)=4+i
2x−(3x)i+(2y)i−3yi
2
=4+i
Real
2x+3y
+
Imaginary
(2y−3x)
i=4+i
Comparing the real & imaginary parts,
2x+3y=4--------------------------(1)
2y−3x=1----------------------------(2)
Solving eq(1) & eq(2),
4x+6y=8
−9x+6y=3
13x=5⇒x=
13
5
y=
13
14
∴(x,y)=(
13
5
,
13
14
)
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SIMILAR QUESTIONS
star-struck
If e
x+iy
=α+iβ, then x+iy is called logarithm of α+iβ to the base e.∴log
e
(x+iy)=log
e
(re
iθ
) =log
e
r+iθ where r is modulus value of x+iy & θ be the argument of x+iy If i
α+iβ)
=α+iβ, then α
2
+β
2
equals
Hard
View solution
>
The modulus of (1 + i) (1 + 2i) (1 + 3i) is equal to
Answer:
Q8. a. IR
Q9. b. -4
Step-by-step explanation:
Q8- what's the S.S of the inequality: x² + 4 > 2
x² + 4 > 2
⇔ x² > 2 - 4
⇔ x² > -2
Then the set of solutions is all real numbers because x² is always a positive number which means for all real numbers x² > -2.
……………………………………………………………………………
Q9- if x + yi = (1 + i)⁴ , then
x + yi = [(1 + i)²]² = [2i]² = 2²×i² = 4×(−1) = −4
(Just remember that (1 + i)² = 2i )
(8x) ³ in simplest radical form
Answer:
[tex]512x^3[/tex]
Step-by-step explanation:
[tex](8x)^3 = 8^3x^3 = 512x^3[/tex]
writing fractions with common denominators to add or subtract(Aleks)
Answer:
3/5+1/3= 9/15+5/15= 14/15
Step-by-step explanation:
Hi there!
To make fractions have a common denominator, multiply both the numerator and the denominator by a number. In this case, 3/5= 9/15, because both the numerator and denominator are multiplied by 3. 1/3= 5/15, using the same rule. 9/15+5/15=14/15
Hope this helped! If it did, pls press the heart :)
Find the area of the figure. Show work and explain please.
Answer:
464 units²
Explanation:
Part A
Length × Width = 8 × 16 = 128 units²
Part B
Length × Width = 24 × 8 = 192 units²
Part C
Length × Width = 12 × 4 = 48 units²
Part D
Length × Width = 24 × 4 = 96 units²
Total Area: 128 + 192 + 48 + 96 = 464 units²
Answer:
464 units²
Step-by-step explanation:
The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.
(see attached diagram)
Total area of the rectangle = width × length
= 24 × (16 + 4 + 4)
= 24 × 24 ← the shape is actually a square!
= 576 units²
Missing Area 1
Top left square = 8 × 8
= 64 units²
Missing Area 2
Bottom right rectangle = 4 × 12
= 48 units²
Total area = area of rectangle - missing area 1 - missing area 2
= 576 - 64 - 48
= 512 - 48
= 464 units²
Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 15.9
Step-by-step explanation:
HELPPPPP this is 7TH grade math and I’m confused
Answer:
35 minutes
Step-by-step explanation:
The total time he walked for last week is
10 * 5 = 50 minutes
Subtract 225 by 50 to find the total time he spend for swimming
225-50 = 175 minutes
Divide 175 by 5 to find the time taken for swimming on each day
175/5 = 35 minutes
10
3
А.
B
1+
2+
EF
G/H
Which of the following are corresponding angles?
O A. DC and 2F
OB. ZA and ZE
OC. E and 2H
OD. A and
Answer:
why don't u send the pictures so I can help u out
What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter?
Answer:
17,964.9 cubic meters
Step-by-step explanation:
Hey there!
The formula for finding the area of a sphere is:
[tex]V=(4/3)\pi r^3[/tex]
Where V is volume, and r is radius
The question already tells us that the diameter is 32.5m
*Remember, the diameter isn't the radius. It is the radius times two*
Now, we have to divide 32.5 by 2 to get the radius
32.5/2 is 16.25
Now we can plug this into the formula
16.25 cubed is 4291 after being rounded to the nearest tenth
Now we multiply 4291 by 3.14 (pi)
4291 x 3.14 is 13473.7 after being rounded to the nearest tenth
Now multiply 13473.7 by 4/3 and then you will get the volume to the sphere
13473.7 x 4/3 is 17964.93333333...
Since it is asking us to round to the nearest tenth of a cubic meter;
The volume of the sphere will be 17,964.9 cubic meters
[tex]\rule{300}{1}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter (m³)?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are asked to find the volume of a sphere, which we can find using the following formula:-
[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]
Where:-V=volumeπ=pi (3.14…)r=radiusProvided information:-diameter (d)=32.5 mWhat we need in order to find the volume:-radiusWhat we need in order to find the radius:-Since the radius is exactly one-half of the diameter, we divide the diameter by 2 in order to find the radius:-[tex]\bold{r=d\div2}[/tex]
Replace d with 32.5:-
[tex]\bold{r=32.5\div2}[/tex]
Therefore, the sphere's radius is as follows:-
[tex]\bold{r=16.25}[/tex] m
[tex]\rule{300}{1}[/tex]
Now, let's find the sphere's volume, which, as I mentioned earlier, can be found with the help of this formula:-
[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]
Replace r with 16.25:-
[tex]\bold{V=\dfrac{4}{3} \pi (4291)}[/tex] Next, we replace π with 3.14:-
[tex]\bold{V=\dfrac{4}{3} \times3.14\times4291}[/tex]
On simplification,
[tex]\bold{V=\dfrac{4}{3} \times13,473.74}[/tex]
On further simplification,
[tex]\bold{V=17,964.9\:m^3}\Longleftarrow\sf{volume\:of\:the\:sphere}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Tom has 20 girls in his seventh-grade class. The ratio of girls to boys is 5:4. How many boys does he have in his seventh-grade class?
Answer:
16 boys
Step-by-step explanation:
in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.
A circle with circumference has an arc with a 15 degree angle. What is the length of the arc?
Answer:
(15/360)*whatever the circumferance is
Step-by-step explanation:
Length of arc = 2π * radius * angle/360
And 2π * radius= circumference
Therefor we can replace that in the eqaution so we can do
circumference *angle/360=lengnth of arc
Q5. the population of an island has decreased by 40% over 50 years.
the population in 2018 was 360
what was the population in 1968?
Answer:
The population was 600 in 1968
Step-by-step explanation:
The population of an island decreased by 40% over 50 years, so the population in 1968 will be equal to 600.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided by the question,
The current population in 2018 = is 360
which is 40% less than the population in 1968.
So, 60% of the total population will be equal to 360.
Let the total population is x.
60% × x = 360
x = (360 × 100)/60
x = 600
Therefore, the population at that time was 600.
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Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25. which equation and solution
represents p, the number of pounds of strawberries ms. diaz buys?
Answer:
21.25=4.25p
Step-by-step explanation:
Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25.
1/5
The equation to represent the situation is 4.25p=21.25.
Ms. Diaz buys 5 pounds of strawberries.
What is equation?A mathematical statement that is made up of two expressions connected by an equal sign.
Given:
Mr. Diaz pays for strawberries = $21.25
price for one pounds = $4.25
Then,
Number of pounds * cost = Total cost for strawberries.
p * 4.25 = 21.25
p = 21.25 / 4.25
p = 5
Hence, the equation that can represent 4.25p=21.25
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which coordinate is a solution to the inequality
Answer:
C) (3 , 2)
Step-by-step explanation:
y is greater than 2x - 7.
Note the point values (x , y). y, in this case, must be greater than x after it is simplified.
~
(3 , -2)
Plug in 3 for x, and -2 for y:
(-2) > 2(3) - 7
-2 > 6 - 7
-2 > -1
(False).
~
(4 , 1)
Plug in 4 for x, and 1 for y:
(1) > 2(4) - 7
1 > 8 - 7
1 > 1
(False).
~
(3 , 2)
Plug in 3 for x, and 2 for y:
(2) > 2(3) - 7
(2) > 6 - 7
2 > 1
(True).
~
∴ C) (3 , 2) is your answer.
~