PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?

There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.

PLEASE HELP ME Which Of The Following Statements Is Not Supported By The Venn Diagram Below?There Are

Answers

Answer 1

Answer:

the answer is

Step-by-step explanation:

There are more students in biology than students in geometry.

Answer 2

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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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

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Answer:

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Answers

Answer:

Step-by-step explanation:

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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

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Answers

Answer:

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Explanation:

x^2 + 10x + 16
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

y= -3x/2+b

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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!

Answers

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]

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Answers

Answer:

C. (cos θ, sin θ)

Step-by-step explanation:

The x-coordinate of P:

x/OP = cos θ ⇒ x = OP cos θ = cos θ

The y-coordinate of P:

y/OP = sin θ ⇒ y = OP sin θ  = sin θ

The coordinates of point P are:

(cos θ, sin θ)

Correct choice is C

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Distance from y axis

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P(cosØ,sinØ

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

What is the volume of the prism?

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- 432 m^3

Answers

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

If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

13. In the right triangle depicted below, what is the cosine of angle B?

Answers

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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Help!!!!!!!!!!plz!!!!!!!!!!!!

Answers

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


Which is the equation of the line that has a slope of -3 and includes the point (2, 4)?

Answers

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

find the length of side X in simplest radical form with a rational denominator

Answers

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.

Intersecting Secant (Exterior)
Find X =

Answers

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 :)

What is the answer to 6 ^-2?

Answers

Answer: 0.02777777777

Step-by-step explanation:

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