According to the diagram, which statement is NOT true?
Real Numbers
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
Counting
Numbers
А
All counting numbers are also rational numbers.
All whole numbers are integers.
B
C All rational numbers are real numbers.
D
AB rational numbers are integers

The image of the triangle is missing, so i have attached it.

Also, the options are;

A) The apothem can be found using the Pythagorean theorem.

B) The apothem can be found using the tangent ratio.

C) The perimeter of the equilateral triangle is 15 cm.

D) The length of the apothem is approximately 2.5 cm.

E) The area of the equilateral triangle is approximately 65 cm².

Answer:

Options A, B & D are true

Step-by-step explanation:

A) We are told that the triangle is an equilateral triangle.

Thus, the 3 sides equal 8.7 cm.

Now from the image, b is half of one of the sides.

Thus, b = 8.7/2 = 4.35 cm

Now, we want to find the apothem "a".

Using Pythagoras theorem, we have;

a² + 4.35² = 5²

a² = 25 - 18.9225

a² = 6.0775

a = √6.0775

a ≈ 2.5 cm.

Thus, option A is true as pythagoras theorem was able to calculate the apothem "a"

B) since the main triangle is equilateral, it means each angle is 60°.

Now,the radius line from one corner point to the centre will divide the 60° angle into 2 equal parts.

Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°

Now,from tangent ratios, we know that;

Opposite/Adjacent = tan θ

In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm

Thus;

a/4.35 = tan 30

a = 4.35 tan 30

a ≈ 2.5 cm.

Thus, option B is correct as Tangent ratio can be used to find the apothem

C) The perimeter of equilateral triangle = 3x

Where x is length of one side.

One side is 8.7 cm

Thus, perimeter = 3 × 8.7 = 26.1 cm

Thus option C is not correct.

D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.

Thus, option D is true.

E) Area of triangle is;

A = ½ × base × height

Base = 8.7 cm

To get height, we will use trigonometric ratio. Thus;

h/8.7 = sin 60°

h = 8.7 sin 60°

Thus;

A = ½ × 8.7 × 8.7 sin 60°

A = 32.77 cm²

Thus is not equal to 65 cm². Thus, option E is not correct.

Answer:

A, B, D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The ratio of giraffes to otters is 8:16. If simplified it's 1:2

Step-by-step explanation:

Answer:

B is correct! Took the quiz 2021 <3. Yall b safe!

Step-by-step explanation:

Answer:

Point H does lie on the graph y = 4.6x - 7

Step-by-step explanation:

Step 1: Define

y = 4.6x - 7

H(0, -7)

Step 2: Substitute, Evaluate, and Check

-7 = 4.6(0) - 7

-7 = 0 - 7

-7 = -7

Answer:

H(0,-7) does lie on the graph of line y = 4.6x - 7

Step-by-step explanation:

All you have to do is simply plug in the x and y values.

From the point H (0,-7) we can say that

x = 0

y = -7

Now just plug it into the equation.

y = 4.6x - 7

(-7) = 4.6(0) - 7

-7 = -7

Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.

Answer:

y=60 or 60=y

Step-by-step explanation:

22+54= 76

76=y+16

60=y or the other way around

Answer:

$5.50

Step-by-step explanation:

L.B Johnson middle school held a track and field event

The chess club sold different drinks and snack item for both the audience and participants

They sold 486 items at a total of $2,673

Therefore the price of each item can be calculated as follows

= 2673/486

= 5.50

Hence the price of each item is $5.50

Answer:

A) 0.58

B)  58/100

Step-by-step explanation:

Can i have brainliest if its right :)

Answer:

C i think

Step-by-step explanation:

You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say  

Answer: theres a website called weegy did you try that?

Answer:

B: distinct parallel lines

Step-by-step explanation:

Answer: No.

Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(

Answer:

45÷5=9-2=7 is this the equation took so long but got the right answer

Answer: 5

Step-by-step explanation: Leg A + Leg B= Leg C

9+16=25 the square of 25 is 5

Answer:

5 = c

Step-by-step explanation:

pythagorean theorem is simply a^2 + b^2 = c^2

so a=3 and b=4 so we plug them in

3^2 + 4^2 = c^2

which is

9 + 16 = c^2

so

25 = c^2

then we take the square root for the answer!!

sqrt(25) = sqrt(c^2)

5 = c

Answer:

(-1,2)

Step-by-step explanation:

90 degree rotation from (a,b) is (-a,b)

Answer:

8784. is the answer to the question

Answer:

8,784 hours

Step-by-step explanation:

You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.

366 x 24 = 8,784 hours

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(Blue)=\dfrac{x}{15}[/tex]

It is given that,

[tex]P(Green)=\dfrac{1}{5}[/tex]

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,

[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]

[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]

[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]

Multiply both sides by 75.

[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]

[tex]x=2\times 3[/tex]

[tex]x=6[/tex]

Therefore, the number of blue marbles in the bag is 6.

Answer:

B- 160

Step-by-Step Explanation:

I did it before and I was rite, so trust me

Answer:

B 160

Step-by-step explanation:

Answer:

2z = 2 groups of z

Answer:

9 is the answer.

Both negative signs cancel eachother, so you just have 45/5.

Step-by-step explanation:

Good luck! <3

Answer:

(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]

(2) [tex]3x + 2y\leq[/tex] 24

(3) [tex]x+4y\leq 28[/tex]

Step-by-step explanation:

Let x and y be the numbers of rockers and swivels made by Ethan.

(1) Since the number of chairs can't be negative. So,

x\geq0 and y\geq 0 are the two constraints.

(2) He can work a maximum of 24 hours.

The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.

So, the time required to make x rocker chair = 3x hr

and the time required to make y swivel chair = 2y hr.

The total time required is  3x + 2y hr which can't be more than the available time, 24 hr.

So, the required constraint is

[tex]3x + 2y\leq 24[/tex]

(3) Similarly,

As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.

So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.

So, the required constraint is

[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]

Answer:

17x−4

Step-by-step explanation:

Let's simplify step-by-step.

5+8x−3+9x−6

=5+8x+−3+9x+−6

Combine Like Terms:

=5+8x+−3+9x+−6

=(8x+9x)+(5+−3+−6)

=17x+−4

C

Because your weight system is gallons in the rest of the question :)

Answer:

gallons

Step-by-step explanation:

Answer:

37 is not an irrational number

Step-by-step explanation:

$598 basically 11.50•52

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

Answer:

16

Step-by-step explanation:

(2(t3+0.5))=16(2t3+t1)

Answer:

1+2*t

Step-by-step explanation:

I checked it and it seemed right. I think it is. Test it and tell me if wrong. if it is wrong I WILL EDIT THIS