Answer: a = 9.3
Hope this helps you!
please help, answers only!!
Answer:
Step-by-step explanation:
Upper right graph meets both of the requirement, the line lays on both (0,9) on the y axis and (3,0) on the x axis
When θ = 28° , which equation can be used to find the distance from point a to point b?
The equation used to represent the distance between two points A and B is AB = x Cos 28°
The equation can be defined as a mathematical statement made up of expressions. The length of the line that connects two points is known as the distance between the two points. A triangle is a closed shape with 3 sides, 3 angles and 3 vertices. Triangle is a 2- dimensional figure.
As per the given question,
A and B are the points in a triangleΘ = 28Let the hypotenuse be x
The two points A and B are on the base of the triangle so,
Base - length = AB
The distance between the two points is
⇒ cos Θ = base / hypotenuse
where, base = AB
hypotenuse = x
⇒ cos Θ = AB / x
⇒ AB = x cos Θ → 1
Substitute Θ = 28 in 1,
⇒ AB = x cos 28°
Therefore, AB = x cos 28° is the equation used to represent the distance between two points A and B.
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The complete question is
When θ = 28° , which equation can be used to find the distance from point a to point b?
What are the coordinates of the circumcenter of a triangle with vertices a(0,1), b(2, 1), and c(2, 5)? enter your answer in the boxes. (, ).
The coordinate of the circumcenter of a triangle is (1,3).
Here we have to find the coordinates of the circumcenter of a triangle.
Given data:
The vertices of the triangle are:
A = (0,1)
B = ( 2,1)
C= ( 2,5)
The formula to find the distance between the two points:
Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2-y1)^{2} }[/tex]
In the same manner distance between AB, BC, and AC are:
AB = [tex]\sqrt{(2-0)^{2} + (1-1)^{2} }[/tex]
= 2
BC = [tex]\sqrt{(2-2)^{2} + (5-1)^{2} }[/tex]
= 4
AC = [tex]\sqrt{(2-0)^{2} + (5-1)^{2} }[/tex]
= 2√5
So by the Pythagoras, we get to know that the triangle is a right-angle triangle.
The circumcenter of a right-angle triangle is the midpoint of the hypotenuse.
Midpoint of AC = (0+2)/2 , (1+5)/2
= 2/2, 6/2
= 1,3
Therefore the coordinate of the circumcenter is (1,3).
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which figure has rotational symmetry and line symmetry?
Answer:
Figure 1 (The Star)
Step-by-step explanation:
Line symmetry is symmetry created by a line that divides a shape. Only the "star" (Figure 1) and the "A" (Figure 2) can be split through the center into two identical halves, therefore we can rule out Figures 3 & 4. Rotational symmetry is when a shape looks the same after a partial turn. Rotational symmetry is only true for the "star" (Figure 1) which will be symmetric every 72-degree (360/5) turn. However, the "A" (Figure 2) can only be flipped 180 degrees to remain symmetric.
Therefore Figure 1 is the only figure with both rotational and line symmetry.
lesson practice what is the approximate volume of this cylinder? what is the closest to the volume of a bowling ball with a diameter of 21.8 centimeters?
volume of ball = 5421.85[tex]cm^{3}[/tex]
Volume of a Sphere
A sphere is a set of points in space that are a given distance r from the center.
The volume of a 3 -dimensional solid is the amount of space it occupies. Volume is measured in cubic units( in3,ft3,cm3,m3 , et cetera). Be sure that all of the measurements are in the same unit before computing the volume.
The volume V of a sphere is four-thirds times pi times the radius cubed.
V=4/3πr^3
The volume of a hemisphere is one-half the volume of the related sphere.
Given that
diameter of ball = 21.8 cm
now we need to find the volume of ball
volume of the sphere =[tex]\frac{4}{3}[/tex] [tex]\pi[/tex][tex]r^{3}[/tex]
diameter = 21.8cm
radius = diameter/2
= 21.8/2
=10.9
now substitute the value of radius in the volume formula
volume of ball =[tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex](10.9)^{3}[/tex]
volume of ball = 5421.85[tex]cm^{3}[/tex]
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3times a number is 4 less than the square of that number find the negative solution
Answer: the answer is -1
8th grade math help plsssss
members of the fitness club hosted a benefit. They charged $4 for adults and $3 for students. if they earned a total $435 and 120 people attended, how many students were there?
Answer:
101.25
Step-by-step explanation:
To find the number of students, we need to first determine the total amount earned from the students. We can do this by multiplying the number of people by the cost per student: $3/student * 120 people = $<<3*120=360>>360.
Since the total amount earned was $435 and we know that $360 of that came from students, we can find the number of students by subtracting the total earned from students from the total amount earned: $435 total - $360 from students = $75 from adults.
Since the cost per adult was $4, we can divide the total amount earned from adults by the cost per adult to find the number of adults: $75 / $4/adult = <<75/4=18.75>>18.75 adults.
Since there were 120 people in total and 18.75 of them were adults, there must have been 120 people - 18.75 people = <<120-18.75=101.25>>101.25 students
PLEASE ANSWER ASAP! WILL GIVE 35 POINTS!
a. AB = FG, AC = FH, BC = GH
b. Remember that FG is the same as AB. This means that their values are equivalent. Therefore, FG = 9.
c. HG is the same as CB. If CB is 12, then HG must also be 12.
d. To solve for x, we'll need to set up an equation. We can do this by taking one of our known pairs of congruent sides and setting them equal to each other.
AB = FG
AB = 9
FG = 2x + 1
9 = 2x + 1
2x = 8
x = 4
Hope this helps!
What is the equation of the line that passes through the points − 2 1 and 4/5 in the Cartesian coordinate plane?
The equation of the line that passes through the points (2, 1 ) and (4,5) in the Cartesian coordinate plane is y = (2/3)(x - 4) + 5.
By subtracting the y coordinates [5 - 1] = 4, we get
Subtract the x coordinates in the same order [4 - (-2)] = [4 + 2] = 6
The slope is given by y-coordinate/x-coordinate = 4/6 = 2/3.
Now, just choose one point say (4,5), and substitute the coordinates in this formula-
y - [y-coordinate of our point] - (slope)* [ x - ( the x-coordinate of our point)]
y - 5 = (2/3)(x - 4) ...........(adding 5 to both sides)
y = (2/3)(x - 4) + 5
Hence, the equation of the line in the "slope-intercept" form is y = (2/3)(x - 4) + 5.
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The complete question is -
what is the equation of the line that passes through the points (-2,1) and (4,5) in the cartesian coordinate plane?
You are running a concession stand at a basketball game. You are selling pizza slices and sodas. Each pizza slice sells for $2.50 and each soda sells for $1.25. At the end of the night you made a total of $696.25. You sold a total of 384 pizza slices and sodas combined. You must report the number of pizza slices sold and the number of sodas sold. What equations did you use to solve this where P = the number of pizza slices sold and S = the number of sodas sold?
how many small cube with side length of 6 cm are needed to completely fill a larger cube with side lengths of 30 cm
Answer:
1,728 small cubes are needed to completely fill a larger cube with side lengths of 30 cm.
Step-by-step explanation:
HJ is extended through point J to point K, m∠JHI =(x+12) m∠HIJ=(x−3) and
m∠IJK =(5x−6) Find m∠IJK.
The value of m∠IJK is 19.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
I
/ \
/ \
/ \
H / \ J K
Now,
m∠JHI = (x+12)
m∠HIJ = (x−3)
m∠IJK = (5x−6)
The sum of the angles in the triangle IHJ is 180 degrees.
m∠JHI + m∠HIJ + m∠IJH = 180
x + 12 + x - 3 + m∠IJH = 180
2x + 9 + m∠IJH = 180
2x + m∠IJH = 180 - 9
2x + m∠IJH = 171
m∠IJH = 171 - 2x ____(1)
Now,
m∠IJK = 180 - m∠IJH
5x - 6 = 180 - m∠IJH
m∠IJH = 180 - 5x + 6
m∠IJH = 186 - 5x _____(2)
Now,
From (1 ) and (2) we get,
186 - 5x = 171 - 2x
186 - 171 = 5x - 2x
15 = 3x
x = 5
Now,
The value of m∠IJK.
= 5x - 6
= 5 x 5 - 6
= 25 - 6
= 19
Thus,
m∠IJK value is 19.
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At 5pm, you count 26,300 alien bacteria in your petri dish. If the growth rate is 2. 7%, how many bacteria will there be at midnight?.
The count increase in the alien bacteria at the midnight is 31692.
Here we have to find the count of alien bacteria at midnight.
Data given:
Count of alien bacteria at 5 pm = 26,300
Percentage increase in bacteria per hour = 2.7%
increase = 1 + 2.7/100
= 102.7
time = 12 - 5 = 7
The count of alien bacteria at midnight = 26,300 ×( 1.207 [tex])^{7}[/tex]
= 31692
Therefore the alien bacteria at midnight is 31692.
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100 POINTS HELP PLEASE WILL GIVE BRAINLEIST An export is a good or service sent out of a country into another country. A factory in the Philippines makes clothing to send to a vendor in Canada. Which country is exporting?
A. both
B. Canada
C. Philippines
Answer:
c.philiippines
Step-by-step explanation:
exporting (present participle)
send (goods or services) to another country for sale:
Write the equation of the graph sketch below
The equation of the graph is f(x)=-2x+5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us take any two points from the graph to find the equation of the graph.
(-1, 3) and (2, -3)
Let us find the slope of line.
m=-3-3/2+1
m=-6/3=-2
Slope of line is -2 and now we find the y intercept.
y=-2x+b
3=-2(-1)+b
3+2=b
5=b
Hence, f(x)=-2x+5 is the equation of the graph.
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Determine if the following relations are functions or non functions
Please help me!!!!
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, that is, the INPUT never repeats, Check the picture below.
now, to check on the graph if it's a function or not, simply recall the vertical line test, if you can draw a vertical line on the graph and it only touches it ONCE, then it's a function, if however a vertical line touches it more than once, then is not.
Find the equation of a line that passes through the point (0,5) and has a gradient of 3. Leave your answer in the form y = m x + c.
The equation of a line with point (0,5) and gradient 3 in the form of y = mx + c is y = 3x + 5.
The point slope form of the equation to be used for finding the equation is -
y - [tex] y_{1}[/tex] = m (x - [tex] x_{1}[/tex] )
As per the mentioned information, m or slope is 3, [tex] y_{1}[/tex] is 5 and [tex] x_{1}[/tex] is 0. Keep the values in point slope form to find the equation.
y - 5 = 3 (x - 0)
Performing multiplication on Right Hand Side
y - 5 = 3x - 0
Shifting 5 to Right Hand Side
y = 3x + 5
Thus, the answer is y = 3x + 5.
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Given the points (-15, 30) and (5, 50). The slope of the line between the two points would be?
Answer:
The slope of the line is 1
Step-by-step explanation:
gradient = difference of y-coordinates / difference of x-coordinates
gradient = (y2-y1) / (x2-x1)
gradient = 50-30 / 5-(-15)
gradient = 20/20
gradient = 1
Gabriel's salary is £24500.
Next year he is due to get a 9% increase.
What will his new salary be?
Answer:
26,705
Step-by-step explanation:
First find 9% of 24500
24500 x 0.09 = 2205
Second add 2205 + 24500
2205 + 24500 = 26,705
I need to find the measure of the arc or angle indicated and assume that the lines that appear to be tangent are tangent
By using tangent chord angle formula, the measure of angle FGH is 50°.
What is tangent chord angle?
The angle formed by the chord in the alternate segment is equal to the angle formed by the tangent through the point of contact of the tangent for any circle, according to the theorem.
Another name for the tangent-chord theorem is the alternate segment theorem.
We have to find the m ∠FGH.
Since, by tangent - chord angle theorem, the measure of a tangent-chord angle is twice the measure of the intercepted arc inside the angle.
GH = 2(m ∠FGH)⇒ m ∠FGH = 1/2(GH)
Here GH = 100° ⇒ m ∠FGH = 1/2(100°) m ∠FGH = 50°
Hence, by using tangent chord angle formula, the measure of angle FGH is 50°.
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which inequality represents the graph?
The inequality graphed on the given image is the one in option B, the inequality is:
x > -2.
Which inequality represents the graph?On the graph, we can see an inequality. We can see a vertical line and all the region to the right of that line is shaded.
The vertical line is x = -2
If the right side of that is shaded, then all the points (x, y) with a value of x larger than -2 are solutions, then the inequality is just:
x > -2
Then the correct option is B.
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50x=10 please help!!!
Answer:
[tex]\boxed{\boxed{\tt x=\frac{1}{5}}\: \bf Or\:\boxed{\tt x=0.2}}[/tex]
Step-by-step explanation:
[tex]\tt 50x=10[/tex]
Divide both sides by 50:-
[tex]\tt \cfrac{50x}{50}=\cfrac{10}{50}[/tex]
Simplify:-
[tex]\tt x=\cfrac{1}{5}[/tex]
_____________________
Hope this helps!
Have a great day!
Kyle buys a mobile phone that weighs 310 g to 2 significant figures.
He puts the phone inside a protective case that weighs 15.6 g to 1 decimal
place.
Work out the smallest possible total weight, in grams (g), of the phone and
case combined.
Answer:
325.6g
Step-by-step explanation:
weight of phone + weight of case
= 310 + 15.6
= 325.6g
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What does it mean to dilate a rectangle?
To dilate a rectangle means to either expand or contract the size of rectangle without changing it's shape .
Dilation is where the polygon grows or shrinks but keeps the same overall shape.
To dilate a rectangle means to either expanding or contracting the rectangle without changing it's shape .
For example: Assume that, the origin (0, 0) be the center of dilation in the coordinate plane.
Let ABCD be a Rectangle in the coordinate plane. The points in the coordinate planes are A(-2, 2), B(3, 2), C(3, -2), D(-2, -2)
To dilate this rectangle by factor 3 , then every coordinate point of the original triangle will multiplied by the scale factor
Coordinates of new rectangles : A'(-4,4) , B'( 6, 4) ,C(6, -4) and D'(-4, -4)
Therefore, When we dilate a rectangle by scale factor 2 ,
The rectangle has enlarge it's size .
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the serving size for the granola that ted likes to eat for breakfast is 3/4 cup. how many servings are there in a box that holds 13 cups? (what operation should be used here? solve the problem.)
With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.
Given that:
Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.
We need to know how many servings of 3/4 cup can be obtained from 13 cups.
now we need to divide 13 by 3/4
=13 ÷ 3/4
= 13 × 4/3
= 52/3
= 17[tex]\frac{1}{3}[/tex]
With one third of a serving remaining, there are 17 servings total.
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show that -5(3m-7) and -15+35 are equivalent
Answer:
they are equivalent when m = 1
Step-by-step explanation:
-5(3m-7) = -15+35
-5(3m-7) = 20
-15m+35 = 20
-15m+35 = 20
-15m = -15
m = 1
The italian mathematician fibonacci is known for introducing what mathematical concept?
I need help can someone help pls?
Answer: B
Step-by-step explanation:
what is 5 3/4 divided by 3 1/2
Step-by-step explanation:
convert, Keep Change Flip, convert back
[tex]\frac{23}{4} * \frac{2}{7}[/tex]
[tex]\frac{46}{28} \\[/tex]
[tex]1\frac{18}{28}[/tex]
Phil and Meredith work for a book publisher editing mathematics textbooks. Phil has less experience and takes three times as long as Meredith to edit a textbook. Together, it takes them 15 hours to edit a textbook.
How long does it take Phil to edit a textbook if he works alone?
hours
How long does it take Meredith to edit a textbook if she works alone?
The number of hours taken by Meredith to edit a textbook if she works alone is 20 hours and time taken by Phil alone to edit text book is 60 hours..
Given that, Phil and Meredith work for a book publisher editing mathematics textbooks.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Let the time taken by Meredith be x.
Phil has less experience and takes three times as long as Meredith to edit a textbook.
So, time taken by Phil be 3x.
Now, 1/x +1/3x =1/15
⇒ (3+1)/3x =1/15
⇒ 4/3x =1/15
⇒ 4/x =1/5
⇒ x=20 hours
So, time taken by Phil =3x =60 hours
Therefore, the number of hours are 60 hours.
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