Answer:
C
Step-by-step explanation:
x = 7 cos (2pi/3) y = 7 sin (2pi/3)
x = -7/2 y = 7 sqrt(3) /2
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
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
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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On a coordinate plane, rhombus w x y z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2). rhombus wxyz is graphed on a coordinate plane. what is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
The area of the rhombus is 24 square units.
What is a Rhombus?This has to do with the quadrilateral that each side are of the same length.
Calculations and Parameters:Given the data:
Length WY is 3 - (-5) = 8 units.
Length XZ is 4 - (-2) = 6 units.
Hence, the area of the rhombus WXYZ is 1/2 of the diagonal length:
1/2 * 8 * 6
= 24 square units.
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Answer:
A
Step-by-step explanation:
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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The guidance department conducted a random survey of the student body and found that 16% of the students plan to volunteer at the school festival. Predict how many volunteer positions they should plan for a population of 950 students.
Answer:
152
Step-by-step explanation:
950 x 16% simple as that
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.
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]
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
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:
7!
——————-
————-
please help!!
——————
math geniuses where r uuuu
————
help!
Answer:
It is the fourth option, D.
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 )
Find the center and radius of the circle represented by the equation below.
¾ - (-⅞)= i need help please solve
Answer:
1 5/8
Step-by-step explanation:
3/4 - -7/8
3/4 + 7/8
6/8 + 7/8
13/8 = 1 5/8
Answer:
1 5/8 or 13/8
Step-by-step explanation:
Remove parentheses.
[tex]\frac{3}{4}+\frac{7}{8}[/tex]
Find the Least Common Denominator (LCD) of [tex]\frac{3}{4},\frac{7}{8}[/tex] . In other words, find the Least Common Multiple (LCM) of 4,8.
Method 1: By Listing Multiples
List the multiples of each number.
Multiples of 4 : 4, 8, ...
Multiples of 8 : 8, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 8
Method 2: By Prime Factors
List the prime factors of each number
Prime Factors of 4 : 2, 2
Prime Factors of 8 : 2, 2, 2
Find the union of these primes.
2, 2, 2
Multiply these numbers: 2 * 2 * 2 = 8 ---> This is the LCM.
LCM = 8
---> LCD = 8
Make the denominators the same as the LCD.
[tex]\frac{3\times 2}{4\times 2}+\frac{7}{8}[/tex]
Simplify. Denominators are now the same.
[tex]\frac{6}{8}+\frac{7}{8}[/tex]
Join the denominators.
[tex]\frac{6+7}{8}[/tex]
Simplify.
[tex]\frac{13}{8}[/tex]
Convert to mixed fraction.
[tex]1\frac{5}{8}[/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 :)
What is the base of this figure?
Step-by-step explanation:
do you mean "base area" ?
and this is relative, friend how the object is placed on the ground.
the way it is depicted, the base is a triangle.
and the area of a triangle is
baseline × height / 2
in our case
11 × 4.3 / 2 = 23.65 cm²
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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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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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
If someone can answer all these ill give 100 points
Answer:
1. x = -6
2. x = 2
3. x = 6
4. x = 3
5. x = -5
6. x = -1
7. x = 0
8. x = 9
9. x = -4
10. x = 7
Step-by-step explanation:
1.
[tex]-10x = -8x + 12[/tex] [tex]-10x+8x=-8x+12+8x[/tex] [tex]-2x=12[/tex] [tex]-2x/-2=12/-2[/tex] [tex]x=-6[/tex]2.
[tex]9-5x+x=1-x+x[/tex] [tex]-4x+9=1[/tex] [tex]-4x+9-9=1-9[/tex] [tex]-4x=-8[/tex] [tex]-4x/-4=-8/-4[/tex] [tex]x=2[/tex]3.
[tex]-2x+16-x=x-2-x[/tex] [tex]-3x+16=-2[/tex] [tex]-3x+16-16=-2-16[/tex] [tex]-3x=-18[/tex] [tex]-3x/3=-18/-3[/tex] [tex]x = 6[/tex]4.
[tex](-4)(6x)+(-4)(-2)= -8x-40[/tex] [tex]-24x+8=-8x-40[/tex] [tex]-24x+8+8x=-8x-40[/tex] [tex]-16x+8=-40[/tex] [tex]-16x+8-8=-40-8[/tex] [tex]-16x=-48[/tex] [tex]-16x/-16=-48/-16[/tex] [tex]x=3[/tex]5.
[tex]37 - 8x = (-7)(x)+(-7)(-6)[/tex] [tex]-8x+37=-7x+42[/tex] [tex]-8x + 37 + 7x = -7x + 42 + 7x[/tex] [tex]-x+37=42[/tex] [tex]-x+37-37=42-37[/tex] [tex]-x=5[/tex] [tex]-x/-1=5/-1[/tex] [tex]x=-5[/tex]6.
[tex]6x+(-2)(2)+(-2)(8x) = 10 + 4x[/tex] [tex]6x-4-16x = 10 + 4x[/tex] [tex]-10x - 4 = 4x + 10[/tex] [tex]-10x - 4 -4x=4x+10-4x[/tex] [tex]-14x-4=10[/tex] [tex]-14x-4+4=10+4[/tex] [tex]-14x=14[/tex] [tex]-14x/-14=14/-14[/tex] [tex]x=-1[/tex]7.
[tex](-2)(x) + (-2)(1) = (2)(x) + (2)(-1)[/tex] [tex]-2x-2=2x-2[/tex] [tex]-2x-2-2x = 2x - 2 - 2x[/tex] [tex]-4x - 2 = -2[/tex] [tex]-4x-2+2=-2+2[/tex] [tex]-4x=0[/tex] [tex]-4x/-4=0/-4[/tex] [tex]x=0[/tex]8.
[tex](-3)(x)+(-3)(3)=(-6)(x)+(-6)(-3)[/tex] [tex]-3x-9=-6x+18[/tex][tex]-3x-9+6x=-6x+18+6x[/tex] [tex]3x-9=18[/tex] [tex]3x-9+9=18+9[/tex] [tex]3x=27[/tex] [tex]3x/3 = 27/3[/tex] [tex]x=9[/tex]9.
[tex]6x-36=(-4)(-2x)+(-4)(7)[/tex] [tex]6x-36= 8x -28[/tex] [tex]6x-36-8x = 8x - 28 - 8x[/tex] [tex]-2x-36=-28[/tex] [tex]-2x-36+36=-28+36[/tex] [tex]-2x = 8[/tex] [tex]-2x/-2=8/-2[/tex] [tex]x=-4[/tex]10.
[tex](2)(x)+(2)(1) = -2x + 30[/tex] [tex]2x+2=-2x+30[/tex] [tex]2x+2+2x=-2x+30+2x[/tex] [tex]4x+2=30[/tex] [tex]4x+2-2=30-2[/tex] [tex]4x=28[/tex] [tex]4x/4=28/4[/tex] [tex]x=7[/tex]
A student collecting money for a charity is donating $12 of his own money. He asks friends to give $5 each. Write a rule in function notation to find how much he will donate in all. Let p represent then number of friends who give money.
a. f(p) = 12p + 5
b. f(p) = 12 + 5p
c. f(p) = 12 + 5 + p
d. (p) = 17p
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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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.
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
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.
~
(8x) ³ in simplest radical form
Answer:
[tex]512x^3[/tex]
Step-by-step explanation:
[tex](8x)^3 = 8^3x^3 = 512x^3[/tex]
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 !
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
If you are in a great deal of debt but want to save for an emergency fund, you should
Save for the fund while paying down your debt
pay down your debt first
consider getting a second job to pay down your debt first
consider getting a second job, and save that job's money, and then pay down your debt
Answer:
option number 4 seems sensible!