Answer:
the answer is
Step-by-step explanation:
There are more students in biology than students in geometry.
The following statements does not support the given venn diagram:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
What are Venn diagrams?
The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.
In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.
Solution:
If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:17₊ 22 ₊8 = 47
The result of the addition operation is not equal to the number of students, hence it does not support to the statement.
If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:17 ₊ 22 = 39
The result of the addition operation is equal to the number of students, hence it supports the statement.
If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:17 ₊ 8 = 25 and 8 ₊ 22 = 30
where, 25 < 30
Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.
If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:22 ₊ 8 = 30
30 > 17
Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.
So the following statements does not support the venn diagram given:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
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can someone please solve this
Step-by-step explanation:
y= -3x/2+b
at (-4,9)
9= -3(-4)/2+b
9= 12/2 +b
9=6+b
b=3
Rearranging:
3x/2 + y = 3
If x2 + 12x + n is a perfect square trinomial,
then n =?
Answer:
The answer is n=36 Hope this helps^_^
Step-by-step explanation:
plz give brainliest and rating
How to get a one to one function with the same range as the original ?
function using is 4x^2+8x+1
Answer:
you should try math sway but take out the s
Step-by-step explanation:
Half of the sum of 3x and 4
Answer:
1.5x + 2
Step-by-step explanation:
(3x + 4)/2 = 1.5x + 2
Find the slope between the two points, 1. (1. 7), (2, 4) 2. (-3, 5), (6,2)
If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?
Answer:
5
Step-by-step explanation:
thanks for the points
Please help me find x
Simplify. Rewrite the expression in the form 4n. 49
Answer:11^3
Step-by-step explanation:
Answer:
easy bro 4/49
Step-by-step explanation:
that is the lowest it can go :)
Which proportional goes into 12/15 ?
Answer:
-80%
Step-by-step explanation:
Lale is mixing together some fertilizer. The instructions say to mix 20 liters of water with 5 liters of liquid fertilizer.
How many liters of water should Lale mix with 1 liter of liquid fertilizer?
O A 4 liters
B. 5 liters
C. 10 liters
D. 15 liters
Answer:
a. 4 liters of water......
Answer:
20/5 = 4
Step-by-step explanation:
the answer at the pic
If y = 2,300 (3x), what is y if x = 3?
No files or links. Just answers.
Answer:
20700
Step-by-step explanation:
3 times 3 times 2300 = 20700
A binder is 9 inches wide, 12 inches long and 1.5 inch thick. what is the volume of documents the binder can hold?
Answer:
162 square inches
Step-by-step explanation:
9*12*1.5
Answer:
162 cubic inches
Step-by-step explanation:
9 times 12 times 1.5
given parallelogram ABCD with A(-3,0), B(-2,3), C(3,2) and D(2,-1) find the coordinates of the diagonals AC and BD
Which is the equation of the line that has a slope of -3 and includes the point (2, 4)?
Answer:
y= -3x + 10
Step-by-step explanation:
we can answer this question thanks to this formula:
y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m indicates the slope
y-4 = -3(x-2)
y = -3x+6+4
y= -3x + 10
If this is a perfect square trinomial, factor it 2 + 5x + 25 O(x + 5)? This is not a perfect square trinomial. 0 0 (x – 5)? o (x + 5) (2 5)
Answer:
There is one "special" factoring type that can actually be done using the usual methods ... "Perfect square trinomials" are quadratics which are the results of squaring binomials. ... This means that I'll have a "plus" sign between the x and the 5. ... it had a middle term of –25x, and this does not match what the pattern requires.
Step-by-step explanation:
find the length of side X in simplest radical form with a rational denominator
Answer:
6
Step-by-step explanation:
Since the two angles (base ) are equal therefore the sides opposite to them will also be equal . Therefore , the value of x will be 6 .
Hence the value of x is 6.What is the answer to 6 ^-2?
Answer: 0.02777777777
Step-by-step explanation:
A triangular prism has a height of 9 meters and a triangular base with the following dimensions.
What is the volume of the prism?
- 420 m^3
- 288 m^3
- 324 m^3
- 432 m^3
Answer:
V = 432 m³
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)
Here b = 16 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²
Then
V = 48 × 9 = 432 m³
(4-1) (4-1) (4-1)
please teach me this i will mark you brainliest answer
Answer:
I think it's 27
Step-by-step explanation:
(4-1)(4-1)(4-1)
(3)(3)(3)
9×3
27
PLEASE HELP!!!!!! 15POINTS!!!!!!!!! REAL ANSWERS ONLY!!!!!! NO LINKS!!!!!!!
Answer:
Solution given:
radius [r]=40ft
length of arc=70/360×2πr=70/360×2×π×40
=48.86=49ft is your answer
Answer:
49ft is the answer. hope it helps
in the figure OP= 1 what are the coordinates of Point p
Answer:
C. (cos θ, sin θ)Step-by-step explanation:
The x-coordinate of P:
x/OP = cos θ ⇒ x = OP cos θ = cos θThe y-coordinate of P:
y/OP = sin θ ⇒ y = OP sin θ = sin θThe coordinates of point P are:
(cos θ, sin θ)Correct choice is C
Distance from x axis
sinØ=x/OPx=OPsinØ=sinØDistance from y axis
y=OP cosØy=cosØP(cosØ,sinØ
the table shows the costs of different size jars of peanut butter. Which of the jars have the lowest unit rate?
Answer:
Step-by-step explanation:
Option C) 25-oz jar has the lowest unit rate
What is the unit rate?Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc
Given here the cost of a 12 oz jar is $3
so the unit rate of a 12 oz jar is = 12/3
= 4
similarly, the unit rates of all the jars from the given table are
18 oz jar = 18/4.40
= $4.09
25 oz-jar = 25/6.75
= $3.703
32 oz jar = 32/8.25
= $3.87
Hence the jar with the lowest unit rate is the 25 oz jar
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Hewwo!
[tex] \underline{ \underline{ \bf{Question}}} : [/tex] In a circle of radius 5 cm , AB and CD are two parallel chords of length 8 cm and 6 cm respectively. Calculate the distance between the chords , if they are :
i. on the same side of the centre
ii. on the opposite side of the centre
*Show your workings!
Answer:
AB=8cm⇒AE=4cmCD=6m⇒CF=3cmIn△AEDAE=4cm,AO=5cmOE=(AO)2−(AE)2=52−42=3cmIn△OFCCF=3cm,CO=5cmOF=OC2−CF2=52−32=4cm
∴ Distance between the chords=4cm−3cm=1cm
Answer:
I) 1 cm
II) 7 cm
Step-by-step explanation:
We are given a circle with a radius of 5 cm. AB and CD are two parallel chords of length 8cm and 6cm respectively. And we want to calculate the length of the chords if they are:
I) On the same side of the center.
Please refer to the first figure.
In it, O is the center, AB measures 8 and CD measures 6.
To find the distance between the two chords, we essentially need to find KJ, which is OJ - OK.
We will construct a segment from O to K and from K to J. This is perpendicular to the chords. Therefore, by the Perpendicular Bisector Theorem, it also bisects the chords.
ΔAOK is a right triangle. Therefore:
[tex]AO^2=OK^2+KA^2[/tex]
AO is simply the radius.
KA is half the length of AB since OK perpendicularly bisects the chord.
Therefore:
[tex](5)^2=OK^2+(4)^2[/tex]
So:
[tex]25=OK^2+16\Rightarrow OK^2=9\Rightarrow OK=3[/tex]
Likewise, ΔCOJ is also a right triangle. Therefore:
[tex]CO^2=OJ^2+JC^2[/tex]
CO is the radius, and JC will be half the length of CD. Thus:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ^2=16\Rightarrow OJ=4[/tex]
Therefore, the distance KJ between the two chords are:
[tex]KJ= OJ-OK=4-3=1\text{ cm}[/tex]
II) On opposite sides of the center.
Please refer to the second figure.
Again, O is the center, AB measures 8, and CD measures 6.
Likewise, segments OK and OJ are perpendicular bisectors of AB and CD, respectively.
And to find the distance, we essentially need to find JK or OJ + OK.
ΔKOB is a right triangle. Thus:
[tex]OB^2=OK^2+KB^2[/tex]
OB is the radius, and KB is half of AB:
[tex](5)^2=OK^2+(4)^2\Rightarrow OK=3[/tex]
ΔJOD is also a right triangle. Thus:
[tex]OD^2=OJ^2+JD^2[/tex]
OD is the radius and JD is half of CD:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ=4[/tex]
Therefore, the distance between the two chords are:
[tex]JK=OJ+OK=4+3=7\text{ cm}[/tex]
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 65 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent
Answer:
There was a %5 increase
Step-by-step explanation:
You just have to substract 65-60 and you get 5
1. What kind of polyhedron can be assembled from this net?
2. Find the surface area (in square units) of the polyhedron. Show your reasoning.
Answer:
Honestly it looks like a rectangular prism.
Step-by-step explanation:
Picture that you're folding it. the dark lines are the crevaces that you fold on.
An eight minute phone call cost $3.36. What rate describes the cost for each minute?
Answer:
0.46 a minute or 46 cents a minute
Step-by-step explanation:
$3.36 divided by 8 is 0.46 or 46 cents
Intersecting Secant (Exterior)
Find X =
Answer: x = 13
Step-by-step explanation: the equation to solve this is:
4 × (4 + 8) = 3 × (3 + x)
so we solve the first half of that:
4 × (4 + 8)
4 × 12
48
now we have:
48 = 3 × (3 + x)
so we switch the sides to make it easier and solve
3 × (3 + x) = 48
divide both sides by 3
3 × (3 + x) ÷ 3 = 48 ÷ 3
and get
3 + x = 16
now subtract 3 from both sides
3 + x = 16
-3 -3
and finally we get
x = 13
hope this helped :)
Help!!!!!!!!!!plz!!!!!!!!!!!!
Answer:
16
Step-by-step explanation:
By intersecting secants theorem:
[tex]9(2x - 17 + 9) = 8(8 + 10) \\ \\ 9(2x - 8) = 8 \times 18 \\ \\ 2x - 8 = \frac{144}{9} \\ \\ 2x - 8 = 16 \\ \\ 2x = 16 + 8 \\ \\ 2x = 24 \\ \\ x = \frac{24}{2} \\ \\ x = 12[/tex]
CE = 9 + (2x - 17)
CE = 9 + (2*12 - 17)
CE = 9 + (24 - 17)
CE = 33 - 17
CE =16
Factorise x^2 + 10x + 16
13. In the right triangle depicted below, what is the cosine of angle B?
Answer:
number c
Step-by-step explanation:
.............. just for filling 20 characters
the cosine of angle B
C. 0.767
How do you find the cosine of a triangle?
the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse: Also, cos A = sin B = b/c.
The cosine formula to find the side of the triangle is given by: c = √[a2 + b2 – 2ab cos C] Where a,b and c are the sides of the triangle.
Pythagoras Theorem is a generalization of the Law of Cosine.
The law of cosine can be applied in any triangle.
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