Answer:
to create venn diagram
Step-by-step explanation:
To create an intersecting Venn diagram, draw three circles that overlap in the middle. You'll be able to show which attributes are unique to each circle, which overlap between two, and which are common characteristics of all three groups. Two circles overlapping is a classic venn diagram.
two soccer players are warming up by kicking soccer balls at a goalie. the two players are located 10 yards apart, and the angle from each player to the goalie is 64° and 75°, respectively. what is the distance from the farthest soccer player to the goalie?
Using the law of sines, it is found that the distance from the farthest soccer player to the goalie is 14.723 yards.
Given,
The distance between the two players = 10yards
The angle from each player to the goalie is 64° and 75°, respectively
We have to find,
the distance from the farthest soccer player to the goalie.
In this problem, considering that the sum of the internal angles of a triangle is of 180º, the angle that the goalie makes with the players is given by:
∠A = 180-(∠B+∠C)
∠A = 41°
Using Sine rule
AC/Sin B = BC / Sin A
AC = 10yrd*Sin75°/Sin41°
AC = 14.723 yards
The farthest distance is of 14.723 yards.
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obtain expressions in component form for the position vectors having the following polar coordinates.
Expressions in component form for the position vectors having the polar coordinates are:
a) -12 cos(40)i + 12sin(40) j = -9.19i + 7.71j
b) 3cos(40) i + 3 sin(40) j = 2.29i + 1.92j
c) -24cos(48)i - 24sin(48) j = -16.059i - 17.83j
Polar coordinates can be found in :Use one or more of the following equations: cos=xr, sin=yr, tan=yx, and r=x2+y2 to convert rectangular coordinates to polar coordinates.
What exactly are polar coordinates?The polar coordinate system is indeed a two-dimensional coordinate system in which the distance from a reference point and the angle from a reference direction are used to determine each point's location on a plane. The polar axis is the ray emanating from the pole inside the reference direction. The pole is the point of reference.
According to the Given information:Let the +x and +y represent, respectively, the unit vectors represented by I and j.
(a) 12.6 m, 130° counterclockwise from the +x axis [tex]\overrightarrow{\mathrm{R}}[/tex]= m.
-12 cos(40)i + 12sin(40) j
= -9.19i + 7.71j
(b) 3.60 cm, 70.0° counterclockwise from the +x axis [tex]\overrightarrow{\mathrm{R}}[/tex]= cm.
3cos(40) i + 3 sin(40) j
= 2.29i + 1.92j
(c) 24.0 in., 206° counterclockwise from the +x axis [tex]\overrightarrow{\mathrm{R}}[/tex]= in.
-24cos(48)i - 24sin(48) j
= -16.059i - 17.83j
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I understand that the question you are looking for is:
Obtain expressions in component form for the position vectors having the following polar coordinates.
(a) 12.6 m, 130° counterclockwise from the +x axis
[tex]\overrightarrow{\mathrm{R}}[/tex]= m
(b) 3.60 cm, 70.0° counterclockwise from the +x axis
[tex]\overrightarrow{\mathrm{R}}[/tex]= cm
(c) 24.0 in., 206° counterclockwise from the +x axis
[tex]\overrightarrow{\mathrm{R}}[/tex]= in.
( x - 10) (4x - 10) find the measure of each angle
Answer:
Step-by-step explanation:
disribute it
question 7(multiple choice worth 1 points) (03.01 lc) what is the length of the unknown side of the right triangle? a right triangle with hypotenuse x and legs 5 and 12 13 17 25 60
The length of the unknown side of the right triangle is 13
What is a right angle triangle?A right triangle (American English), sometimes known as a right-angled triangle (British), is a triangle with one angle that is a right angle (i.e., a 90-degree angle), or two sides that are perpendicular. The link between is the basis of trigonometry.
between the right triangle's angles and sides.
The side across from the right angle is the hypotenuse (side c in the figure). Legs are the sides closest to the ideal angle (or catheti, singular: cathetus). The side a that is next to angle B and across from angle A is referred to as side b, and the side a that is next to angle A and across from angle B is referred to as side a.
Right triangles are referred to as Pythagorean triangles and their side lengths as Pythagorean if all three of their sides are integer lengths.
[tex]\sqrt{(12)^2+(5)^2}=13[/tex]
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you work as an assistant coach on the university swim team and earn $13 per hour. one day, you decide to skip the hour-long practice and go to the county fair instead, which has an admission fee of $10
23$ is the total cost .
What is cost and example?
The definition of cost is to be valued at something or to lose. A loaf of bread costing $3 is an example of a cost. Giving up your freedom in order to grant freedom to another person is an illustration of cost.Fixed and variable costs are the two main categories of expenses incurred by enterprises. Variable costs change with output, whereas fixed costs do not. Overhead costs are another name for fixed expenses. They must be paid whether a company produces 100 or 1,000 widgets.the total cost = 13$ + 10$= 23$ because he losses a hour in work .
13$ and additionally spending 10$ in carnival .
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2-78.
Decide if each pair of triangles below is similar. If the triangles are similar,
justify your conclusion by stating the similarity condition you used. Also,
describe a possible sequence of transformations that would carry one onto
the other. If the triangles are not similar, explain how you know they are
not similar.
The pair of triangles is similar with the ASA similarity condition
How to decide if each pair of triangles is similar?The figure that completes the question is added as an attachment
From the figure, we have the following properties:
Two angles are congruent; This is indicated by the marks on one angle, and the corresponding right angleAlso, the hypotenuse of both triangles are similarThis means that the pair of triangles is similar with the ASA similarity condition.
Since the triangles share the same point
So, the transformation to carry the triangles onto one another is dilation
Hence, the pair of triangles is similar with the ASA similarity condition
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A submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
At what depth is it after:
1 stage meters
2 stages meters
4 stages meters
How many full stages will it take to return to the surface?
Answer:
Can you only pick one answer?
Answers:
depth after 1 stage is -280 meters depth after 2 stages is -220 meters depth after 4 stages is -100 meters how many stages to return to the surface? 6 stages==========================================================
Explanation:
After 1 stage, the depth is -340+60*1 = -280 meters. In other words, it's 280 meters below the surface.
After 2 stages, the depth is now -340+60*2 = -220 meters
After 4 stages, the depth is -340+60*4 = -100 meters
After n stages, the depth is -340+60n. Set this equal to zero and solve for n.
-340+60n = 0
60n = 340
n = 340/60
n = 5.667 approximately
This rounds to n = 6
After n = 5 stages, the depth is -340+60n = -340+60*5 = -40 meters
After n = 6 stages, the depth is -340+60n = -340+60*6 = 20 meters, so the submarine is now at the surface. Of course the sub cannot fly to a height of 20 meters above the ocean's surface, so the highest it can go is 0 meters at the surface itself. This means the 6th stage is a movement of 40 meters (instead of 60 meters).
It might help to draw out a vertical number line to visually keep track of everything.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Find the average rate of change of each function over the interval [0, 3]. Match each representation with its respective average rate of change.
The identify each representation's associated average rate of change. The average rate of change for the functions r, q, p is 5, 5, 7/3 over the range [0.3].
Given that,
We have to find over the range [0, 3], calculate each function's average rate of change. The identify each representation's associated average rate of change.
The equation for f(x) average's rate of change across [a,b] is
m=[tex]\frac{f(b)-f(a)}{b-a}[/tex]
The function provided is
r(x)=x²+2x-5
r(0)=(0)²+2(0)-5=-5
r(3)=(3)²+2(3)-5=9+6-5=15-5=10
Now,
m₁=[tex]\frac{r(3)-r(0)}{3-0}[/tex]
m₁=[tex]\frac{10+5}{3}[/tex]
m₁=15/3
m₁=5
It is clear from the graph that q(0)=2 and q(1)=3.
Now,
m₂=[tex]\frac{q(1)-q(0)}{1-0}[/tex]
m₂=[tex]\frac{3+2}{1}[/tex]
m₂=5/1
m₂=5
It is evident from the above table that s(0)=-2 and s(3)=5.
Now,
m₃=[tex]\frac{s(3)-s(0)}{3-0}[/tex]
m₃=[tex]\frac{5+2}{3}[/tex]
m₃=7/3
Therefore, The average rate of change for the functions r, q, p is 5, 5, 7/3.
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18 Shifting the origin to another point (h,k) without Changing the directions of the axes. If P(x,y) with reference to original axes changes to P(X,Y) with reference new axes then i) x=X-h, y=Y-k ii) x=X-h,y=Y+k iii) x= x+h, y=Y+k iv)x=x-y=Y-k
If we shift the origin without changing the direction and point P(x, y) is changed to P(X, Y) then the new coordinates will be x = X + h and y = Y + k.
Shifting of origin is the phenomenon of changing the coordinates of the origin which is generally (0, 0) to another point which has coordinated (h, k). This phenomenon is usually carried out graphically. This is done when there is difficulty to solve the problems in coordinate geometry when we take the origin at (0, 0).
If we shift the origin which is at P(x, y) to another point (h, k) then the coordinates of new point P(X, Y) will be
x = X + h and y = Y + k
If h is positive, then coordinates will be x = X + h and if h is negative then coordinates will be x = X - h. If k is positive, then coordinates will be y = Y + k and if k is negative then coordinates will be y = Y - k.
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What is the equation of the line that passes through the point (-1, 5) and is parallel to the line y = -3x + 5?
y=-x3+143
y=3x+8
y=-3x+2
y=x3+163
Step-by-step explanation:
Lines which are parallel have equal gradients.The gradient of the given straight line is -3 meaning that the gradient of the new equation will be -3now we have y=-3x +c following the general equation of a straightline.Substituting the given point we have [tex]5 = -3( - 1) + c \\ c = 5 - 3 \\ c = 2 \\ the \: new \: equation \: will \: then \: be \: y = - 3x + 2[/tex]Answer:
I have completed it also
Step-by-step explanation:
what the person ontop of me said it correct
what is 2.56 - 8.9 =
Answer:
-6.34
Step-by-step explanation:
If you used a number line, it'll help! Start at 2.56, and go back (to the left) 8.9, and you will arrive at -6.34
jean gray earns a graduated commission of 4 on her first $2000 of sales and 8 on all sales over $2000 jean's sales for the past week totaled $3925
Her commission for the week was $234.
It is given the total earning in past week = $3,925 and jean earns 4% for the first $2000
So, the commission = $2000 x 4/100 = $80
To find additional sales, the formula to refer is
Add –on sales = total sales – base sales
= 3,925 – 2000
= 1,925
For the $1,925 sales, Jeans earns 8% commission, Her commission
= 1,925*0.08 = $154
So, the total commission = $80 + $154 = $234
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twice the sum of 9 and y is less than or equal to 5y
Answer:
y [tex]\leq[/tex] -6.5
Step-by-step explanation:
2(9+y) [tex]\leq[/tex] 5
(distribute)
18 + 2y [tex]\leq[/tex] 5
(isolate variable)
2y [tex]\leq[/tex] 5 - 18
(simplify)
2y [tex]\leq[/tex] -13
(isolate variable)
y [tex]\leq[/tex] -6.5
Helppp!!!! Quick as anyone can!!! will give brainliest!!!!!
Answer: A is the same and equivalent
B is different not equivalent
C is the same and equivalent
Step-by-step explanation:
I'm on Edmund
help me understand this.
Answer:
the standing line is the "Y line"
the line laying down is the "X line"
wherever the line touches on the y and x line is where it intercepts
for the x it intercepts at 25 since it touches the x line between 20 and 30
for the y line it intercepts at - 55 since it touches the y line in between - 50 and - 60
Determine the largest positive interger d such that d+10 is a divisor of d^3+2011
The largest positive integer d for which d +10 is a divisor of d³ + 2011 is equal to 1001.
As given,
Divisor= d +10
Dividend= d³ + 2011
(d³ + 2011 ) ÷ ( d+ 10) = [(d² -10d +100) (d +10) +1011] ÷ ( d+ 10)
=(d² -10d +100) + [ 1011 / (d+10)]
Largest positive integer d for which d +10 is a divisor of d³ + 2011
d + 10 =1011
⇒d=1001
Therefore, the largest positive integer d for which d +10 is a divisor of d³ + 2011 is equal to 1001.
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AB =
Round your answer to the nearest hundredth.
В
40
C
5
А
The length of the hypotenuse AB is approximately 6.53 units.
In a right angled triangle the side opposite the right angle or the largest side is called the hypotenuse of the triangle.
The length of the hypotenuse is calculated using trigonometric ratios. If in a right-angled triangle, the base angle is θ then:
sin θ = perpendicular ÷ hypotenusecos θ = base ÷ hypotenusetan θ = perpendicular ÷ baseIn the given figure we see in ΔABC
AB is the hypotenuse. ∠BAC = 40 ° AC is the base and BC is the perpendicular.
(The side that contains the given angle is the base and the side opposite the given angle is taken as perpendicular)
Now cos ∠BAC = BC ÷ AB
or, cos 40° = 5 ÷ AB
or, AB = 6.527...
or, AB ≈ 6.53
Hence the value of AB is approximately 6.53 units.
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Help please (work provided )
Answer:
150 degrees
Step-by-step explanation:
Vertical angles
0.000000006450 in scientific notation
Answer:
[tex]6.45*10^{-9}[/tex]
Step-by-step explanation:
Solve for "x"
4 (2x (2x - 1) - 1 (2x - 1)) = 0
Answer:
x = 1/2 or 0.5
Step-by-step explanation:
4 • ((2x • (2x - 1)) - (2x - 1)) = 0
The rule says: To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (2x-1) and the exponents are :
1, as (2x-1), is the same number as (2x-1)1
and 1, as (2x-1) is the same number as (2x-1)1
The product is therefore, (2x-1)(1+1) = (2x-1)2
4 • (2x - 1)2 = 0
4.2 Solve : (2x-1)2 = 0
(2x-1) 2 represents, in effect, a product of 2 terms which is equal to zero
For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means: 2x-1 = 0
Add 1 to both sides of the equation :
2x = 1
Divide both sides of the equation by 2:
x = 1/2 = 0.500
Answer:
x = 1/2.
Step-by-step explanation:
4 (2x (2x - 1) - 1 (2x - 1)) = 0
(2x (2x - 1) - 1 (2x - 1)) = 0
(2x - 1) is common to both parts.
(2x - 1)(2x - 1) = 0
2x - 1 = 0
x = 1/2.
1)
0.6
11
What would it be
Answer:as a fraction it would be 11 3/5
Step-by-step explanation:
a. How much do 4 dozen buttons cost?
It costs 6$ for 48 buttons
b. How many dozens of buttons can the organizers buy for $27?
the cost of 4 dozens of buttons will be $ 6 and the organizers can buy 216 buttons for $ 27.
We are given that:
Cost of 48 buttons = $ 6
48 buttons = $ 6
Divide both sides by 48:
1 button = $ 6 / 48 = $ 1 / 8
Now, the cost of 4 dozen buttons will be:
4 dozen buttons = 12 × 4 = 48
So, the cost will be 4 6 only.
For $ 27, the organizers can buy:
Number of buttons = 27 ÷ 1 / 8
Number of buttons = 27 × 8
Number of buttons = 216 buttons.
Therefore, the cost of 4 dozens of buttons will be $ 6 and the organizers can buy 216 buttons for $ 27.
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find the total profit or loss for each color of T-shirt
answer:
Green t-shirt=profit of $1
White t-shirt=profit of $3
Black t-shirt=profit of $1.
To find the answer, selling price minus total money spent (shirt, printing) If the number is negative, it’s loss, and if it’s positive, it’s profit
5-3y+6= 5(y − 1)
How do I solve it with work
I meed you to explain this
Answer:
Bread
Step-by-step explanation:
Please help me with this problem im confused.
Answer: A. D.
Step-by-step explanation:
A.
x-b-3<0
x-b-3+3<0+3
x-b<3 (yes)
B.
0>b-x+3
0+x>b-x+3+x
x>b+3
x-b>b+3-b
x-b>3 (no)
C.
x<3-b
x+b<3-b+b
x+b<3 (no)
D.
-3<b-x
-3+3<b-x+3
0<b-x+3
0+x<b-x+3+x
x<b+3
x-b<b+3-b
x-b<3 (yes)
Answer:
A and D
Step-by-step explanation:
Option A
[tex]\begin{aligned}& \textsf{Given inequality}: & x-b-3 & < 0\\& \textsf{Add 3 to both side}: \quad & x-b-3+3 & < 0+3\\& \textsf{Simplify}: & x-b & < 3\end{aligned}[/tex]
Option B
[tex]\begin{aligned}& \textsf{Given inequality}: & 0 & > b-x+3\\& \textsf{Add $x$ to both sides}: & 0+x & > b-x+3+x\\& \textsf{Simplify}: & x & > b+3\\& \textsf{Subtract $b$ from both sides}: \quad& x-b & > b+3-b\\& \textsf{Simplify}: & x-b & > 3\end{aligned}[/tex]
Option C
[tex]\begin{aligned}& \textsf{Given inequality}: & x & < 3-b\\& \textsf{Add b to both sides}: \quad & x+b & < 3-b+b\\& \textsf{Simplify}: & x+b & < 3\end{aligned}[/tex]
Option D
[tex]\begin{aligned}& \textsf{Given inequality}: & -3 & < b - x\\& \textsf{Divide both sides by -1}: \quad & \dfrac{-3}{-1} & > \dfrac{b}{-1}-\dfrac{x}{-1}\\& \textsf{Simplify}: & 3 & > -b+x\\& \textsf{Simplify}: & x-b & < 3\end{aligned}[/tex]
Note: When multiplying or dividing by a negative number in an inequality, remember to flip the inequality sign.
A tour guide organizes vacation packages at a beachside town. There are 7 hotels, 5 cabins, 4 meal plans, 3 escape rooms, and 2 amusement parks. The tour guide chooses either a hotel or a cabin and then selects one of each of the remaining options. FInd the total number of possible vacation packages.
Answer:
84
Step-by-step explanation:
7x5x4x3= 84
A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 28 feet more
than the length of the shortest side. Find the dimensions if the perimeter is 144 feet.
According to the solving the dimensions of the triangles are as follow:
a . 29
b. 58
c. 57
What is meant by dimensions?A mathematical space's dimension is defined informally as the smallest number of coordinates required to specify any point within it. Thus, a line has a dimension of one since only one coordinate is required to identify a point on it - for example, the point at 5 on a number line.
How many dimensions are contained within a triangle?2-D shapes really had no thickness and they can only be measured on two sides. Two-dimensional objects include the square, circle, rectangle, and triangle.
According to the given data:x=length of the shortest side
2x=length of another side
x+28=length of the third side
144=x+2x+x+28
144=4x+28
144-28=4x
116=4x
x=116/4
x=29 feet (one side)
Putting the value of x to find second side
2x=58 feet (second side)
x+28= 57 feet (third side)
the perimeter of the triangle = sum of all the sides
= 29+58+57
=144
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a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal.
A circle with a circumference of 615.44 units has a radius of 98 units.
A circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center.
The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant [tex]\pi[/tex] and the diameter of the circle.
C = [tex]\pi[/tex]D
The diameter (D) is the distance across the circle through the center, it is a line that meets the circumference at both ends and it needs to pass through the center. On the other hand, the radius (r) of a circle is the distance from the center of a circle to any point on the circumference of the circle. Radius is half of the diameter.
If r = 1/2 D, then
D = 2r
Evaluating the value of Din the formula of the circumference,
C = [tex]\pi[/tex](2r)
C = 2[tex]\pi[/tex]r
Using the value of [tex]\pi[/tex] as 3.14 and the circumference as 615.44 units,
evaluate the equation.
C = 2[tex]\pi[/tex]r
615.44 = 2(3.14)r
r = 615.44/ (2*3.14)
r = 98 units
Therefore, the radius of the circle is 98 units.
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1. Kia said she could put
together 14 out of 25 gift bags
for a contest. She has already
made 5 gift bags. What
percent of the 25 gift bags
does Kia still have to make?
The percentage of bags that Kia still has to make for the contest is 36 %.
We are given that:
Kia has to make 14 bags out of 25 bags.
Now, she has already made 5 gift bags.
The number of bags she still has to make = 14 - 5 = 9
Now ,we need to find the percentage of 9 from the total of 25 so to get the percentage of bags that Kia still has to make.
So, we get that:
Percentage = 9 / 25 × 100 %
Percentage = 9 × 4 %
Percentage = 36 %
Therefore, we get that, the percentage of bags that Kia still has to make for the contest is 36 %.
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