Calculate the interquartile range of the data set below: 30, 6, 1, 22, 19, 7, 8​

The area of the triangle is 6√3 units.

given that the altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units.

The hypotenuse of a triangle with angles of 30°, 60°, and 90° is always twice as long as the side opposite the 30° angle, and it is almost three times as long as the side opposite the 60° angle.

so, let the shorter side of triangle is x.

the longer side of triangle is x√3.

the hypotenuse of the triangle is 2x.

now find the value of side of triangle

[tex]x \sqrt{3} = 3 \\ \frac{x \sqrt{3} }{ \sqrt{3} } = \frac{3}{ \sqrt{3} } \\ x = \frac{3 \sqrt{3} }{3} \\ x = \sqrt{3} [/tex]

so, the length of shorter side is √3 units.

now, find the value of hypotenuse of triangle

2x = 2√3

so, the length of hypotenuse of the triangle is 2√3 units.

now, find the base of the triangle

base = a√3 = (2√3) (√3) = 2(3) = 6

base = 6 units.

now, find the area of triangle

formula 1/2 (base)(height)

A = 1/2 (6) (2√3)

A = 6√3

Hence,the area of the triangle is 6√3 units.

Learn more about area of triangle from here:

https://brainly.com/question/28470545

#SPJ4

Answer:

mperpendicular = 5/2

Step-by-step explanation:

Answer: Incorrect.

Step-by-step explanation: 24 out of 30 is 80.00%.

Step 1: We make the assumption that 30 is 100 % since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100 % = 30.

Step 4: In the same vein, x % = 24 .

Step 5: This gives us a pair of simple equations:

100 % = 30(1).

x % = 24(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100 % / x % = 30/24

Step 7: Taking the inverse (or reciprocal) of both sides yields

x/100 = 24/30

x = 80 %

Answer:

or;4x=-1-7

or;4x=-8

or;x=-8/4

x=-2

Step-by-step explanation:

- 2/3y-3/4=5

-2/3y=5+3/4

-2/3y=(20+ 3) /4

-2/3y=23/4

y=23/4*-3/2

y= -69/8

The coordinates of the missing endpoint are (11 / 3, 14).

Herein we find the coordinates of a endpoint and a midpoint of a line segment and the location of missing endpoint can be found by using the midpoint formula, whose definition is shown:

B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y)           (1)

If we know that B(x, y) = (8 / 3, 4) and C(x, y) = (5 / 3, - 6), then the location of the missing endpoint is:

(8 / 3, 4) = 0.5 · A(x, y) + 0.5 · (5 / 3, - 6)

(16 / 3, 8) = A(x, y) + (5 / 3, - 6)

A(x, y) = (16 / 3, 8) - (5 / 3, - 6)

A(x, y) = (11 / 3, 14)

The coordinates of the missing endpoint are (11 / 3, 14).

To learn more on midpoints: https://brainly.com/question/8943202

#SPJ1

Answer:

10

Step-by-step explanation:

20= x+ 16 -6

20= x+ 10

20 - 10= x

x= 10

The place value of the digit 5 in the given number 256,934 is equal to 50,000.

As given in the question,

Given number : 256,934

Place value of the digit 5 in 256,934

Place value of each digit in the given number :

Place value of 4 = 4

Place value of 3 = 30

Place value of 9= 900

Place value of 6 =6,000

Place value of 5 = 50,000

Place value of 2 = 200,000

Therefore, the place value of the digit 5 in the given number 256,934 is equal to 50,000.

The complete question is :

Circle the place value of the digit 5 in 256,934

A. 5,000  B.  50    C.  50,000     D.  500,000

Learn more about the digit here

brainly.com/question/15486304

#SPJ1

The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given the function is,

3 (x - 2) - 4 (x + 1) = -22

Now, We can solve the expression as,

3 (x - 2) - 4 (x + 1) = -22

Use Multiplicative property;

3x - 6 - 4x - 4 = -22

Use addition and subtraction property,

- x - 10 = - 22

Use addition property and Add 22 both sides;

- x - 10 + 22 = - 22 + 22

- x + 12 = 0

Use subtraction property, Subtract 12 both sides;

- x + 12 - 12 = 0 - 12

- x = - 12

Multiply by -1 in both sides,

x = 12

Therefore, The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

Learn more about the linear expression visit:

https://brainly.com/question/10839449

#SPJ1

Answer:

1 bag with all of them is the greatest bag im joking ofcourse
but

red

96
1.     96 cut
2.   48 cut

3.    32 cut

4.    24

6.    16

8.     12

blue
72
1.   72 cut

2    36 cut

3.     24

4.    18

6.     12

8.     9

yellow
48
1. 48 cut

2. 24

3  16

4. 12

6  8

Step-by-step explanation:

red

4.    24

blue

3.     24

yellow

2. 24

so 24 bags is the greatest number of bags
with

one bag having 4 red candies, 3 blue candies, and 2 yellow candies

Answer:

33 days or 5 weeks

Step-by-step explanation:

If triangle JKL is rotated 180° clockwise, the location of J’ is: B. (6, 7).

Generally, there are different types of transformation and these include the following:

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

From the graph (see attachment), we have the following data:

In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° clockwise to triangle JKL, the location of J’ is given by:

Points at J = (-6, -7)   →  Points at J' = (-(-6), -(-7))

Points at J = (-6, -7)   →  Points at J' = (6, 7).

Read more on rotation here: https://brainly.com/question/28515054

#SPJ1

Complete Question:

If JKL is rotated 180° clockwise, which describes the location of J'?

A. (-7, 6)

B. (6, 7)

C. (7,-6)

D. (7,6)

Answer: Q=Er^2/k ==> 1st option

g=4lπ^2/T^2 ==> 4th option

C=AJs^3/(km^2) ==> 2nd option

A=Fl/(Gx) ==> 4th option

w=m/(plh) ==> 1st option

Step-by-step explanation:

1. E=kQ/r^2

E*r^2=r^2 * kQ/r^2

Er^2=kQ

Er^2/k=kQ/k

kQ/k=Er^2/k

Q=Er^2/k

2. l=gT^2/(4π^2)

l*4π^2=gT^2/(4π^2) * 4π^2

4lπ^2=gT^2

4lπ^2/T^2=gT^2/T^2

g=4lπ^2/T^2

3. s^3=kCm^2/(AJ)

AJ*s^3=kCm^2/(AJ) * AJ

AJs^3=kCm^2

AJs^3/(km^2)=kCm^2/(km^2)

C=AJs^3/(km^2)

4. G=Fl/Ax

1/G=Ax/Fl

Fl*1/G=Fl * Ax/Fl

Fl/G=Ax

Fl/(G*x)=Ax/x

A=Fl/(Gx)

5. p=m/(lwh)

1/p=lwh/m

m*1/p=m*lwh/m

m/p=lwh

m/(p*lh)=lwh/(lh)

w=m/(plh)

Answer:

-96.22 is not an integer.

Step-by-step explanation:

An integer is just basically whole numbers, which including no decimals, and fractions.

Note: Some decimals and fractions can be converted to whole numbers, meaning, they are intergers.

On the other hand, -96.22 can not become a whole number, concluded that it is not an interger.

discriminant = b * 2 - 4 * a * c   the formula for computing the discriminant .

What is quadratic equation?

quadratic equation ax^2 }+ bx+  c = 0

a = 3 b = 4 c = 5  discriminant = b * 2 - 4 * a * c  print("discriminant is", discriminant)

Learn more about algebraic equation

brainly.com/question/953809

#SPJ4

From the given data

The length of the box is 32 inch

The breadth of the box is 3 inch

The deep of the box is 1 inch

We have to find the volume of the box

Formula of volume is

   volume = length × breadth × height

  volume = 32×3×1

  volume = 96 inch³

The volume of the box is 96 inch³.

A field of mathematics known as geometry is described as "concerning the measurement, characteristics, and relationships of points, lines, angles, surfaces, and solids." Geometry is a branch of mathematics that focuses on points, lines, forms, and surfaces.

To know more about Geometry,

visit:https://brainly.in/question/886634

#SPJ9

Answer:

change "camps" to "camped"

The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.

Given,

A truck rental company charges $90 plus $20 per hour.

Here we need to  identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.

The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...

c = 90 + 20h

In functional form, this is

c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours

The function value with an input of 5 is ...

c(5) = 90 +20(5)

c(5) = 90 + 100

c(5) = 290

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.

To know more about Functions here.

https://brainly.com/question/12431044

#SPJ4

Answer:

f(h)=90+20h

$190

Step-by-step explanation:

Answer:

  (d)  (-6, 0)

Step-by-step explanation:

Given graphed inequalities and a list of points, you want the point that is a "solution."

We assume the graphed inequalities are part of a system of two inequalities and that a "solution" is one that must satisfy both of them. Any solution point will be in the doubly-shaded area, or on the solid blue boundary next to that area.

Each of the given points is 6 units from the origin on one of the coordinate axes. The only such point that lies in the doubly-shaded area is (-6, 0) on the negative x-axis.

The point (-6, 0) is a solution.

__

Additional comment

We know the kinds of inequalities that can give rise to a graph like this, but we don't know the question for which one of these points would be a solution. That is why assumptions are necessary.

The point (0, 6), for example, could be a solution to the question, "what set of values satisfies x-y ≤ 1, but not x+y < 3?"

Answer:

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

To simplify the ratio of 4:20, we find the greatest common divisor of 4 and 20, and then we divide 4 and 20 by the greatest common divisor. And your answer is for every 1 triangle there is 5 squares.

Answer:

goooodddddd luccckk

the answer is 1.5

Answer:

45

Step-by-step explanation:

t = number of t-shirts

n = number of notebooks

n + t = 70

5n + 11t = 500

n = 70 - t

5(70 - t) + 11t = 500

350 - 5t + 11t = 500

6t = 150

t = 25

n + t = 70

n + 25 = 70

n = 45

Answer: 45

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

five hundred thirty thousand six hundred forty-two and eight hundredths

Answer: 2

Step-by-step explanation:  2 + 1 =3 and 3 - 5 is -2 so -2 + 4 would equal 2

Hope this helps : P

For the statement 8 to the power of 24, we get the expression as 2 ⁷².

We are given a statement:

8 to the power of 24

We need to form an expression for the same.

We can write the expression as:

8 ²⁴

This can also be written as:

8 = 2 × 2 × 2

So, we get that:

( 2 ³) ²⁴

Since we know the property of exponents, we will use it here.

We get the result as :

= 2 ⁷²

Therefore, for the statement 8 to the power of 24, we get the expression as 2 ⁷².

Learn more about expression here:

https://brainly.com/question/723406

#SPJ9

La representación pictórica de 2 ¼ es sombrear completamente 2 círculos de 3 y sombrear 1/4 parte del tercer círculo.

Aquí, el pictórico dado es 2 ¼.

El numerador es mayor que el denominador.

Entonces, esta también es una fracción impropia o mixta.

Entonces, primero dividiremos la fracción mixta pictórica como.

Ahora tenemos que sombrear completamente 2 círculos de 3 y sombrear 1/4 de la parte del 3er círculo como se muestra en la figura de abajo.

Para más ayuda, encuentra la representación en la figura.

Obtenga más información sobre la representación pictórica aquí -

brainly.com/question/12272412

#SPJ9