When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

Answer:

option (B) is correct ......

Answer:

B. [tex]5\sqrt{2}[/tex]

Step-by-step explanation:

Hi there!

Notice how the diagonal splits the square into two right triangles. To find the length of the diagonal, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs of a right triangle and c is the hypotenuse, or the side opposite the right angle.

In this case, a is 5, b is 5 and we're trying to solve for c.

[tex]a^2+b^2=c^2[/tex]

Plug in the known values

[tex]5^2+5^2=c^2\\25+25=c^2\\50=c^2\\c=\sqrt{50}[/tex]

Simplify the radical

[tex]c=\sqrt{25*2} \\c=5\sqrt{2}[/tex]

I hope this helps!

t=46°

u=134°

v=23°

w=23°

Answer:

Solution given;

v=w [base angle of triangle]

<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]

81+v+53+w=180°

134°+v+v=180°

2v=180°-134°

v=46/2

v=23°

w=v=23°

In triangle ∆ PQR

v+w+u=180°[sum of interior angle of a triangle]

23+23+u=180°

u=180°-46°

u=134°

again

In triangle ∆ PSR

t+81+53=180°

t=180°-134°

t=46°

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

v and w are equal as opposite angles to equal sides.

Answer:

Don't know

Step-by-step explanation:

Translate it into English

Answer:

D

Step-by-step explanation:

25×5=125

I hope it helps

Answer:

2

Step-by-step explanation:

f(x)=x^2+1

now,

f(1)=1^2+1

=1+1

=2

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

Answer:

15.6

Step-by-step explanation:

SOH -CHA-TOA

Tan = opp / adj

Tan(60) = 27/x

x = 27/tan(60)

Answer:

x ≈ 5.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{9.3}{x}[/tex] ( multiply both sides by x )

x × tan60° = 9.3 ( divide both sides by tan60° )

x = [tex]\frac{9.3}{tan60}[/tex] ≈ 5.4 ( to the nearest tenth )

Answer:

720

Step-by-step explanation:

Using the equation given

[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan6^\circ = \frac{8}{RX}[/tex]

Take the reciprocal of both sides:

[tex]\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}[/tex]

Multiply both sides by 8:

[tex]\displaystyle RX = \frac{8}{\tan6^\circ}[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]\displaystyle RX\approx 76.1149[/tex]

Hence, our answer is B.

Answer:

i and iii are not examples of inverse variation.

Step-by-step explanation:

Inverse variation between two variables, y and x, is written as:

y = k/x

This means that, as the absolute value of x increases, the absolute value of y decreases.

So we need to have the variable in the denominator.

Let's analyze the given options:

i) f(x) = k*x

Here, x is not in the denominator, this is a direct variation, so this is not an example of inverse variation.

ii) f(x) = 2k/x

Here we can see that the variable x is in the denominator, thus, this is an inverse variation.

iii) f(x) = -k*x/z

We can see that we have z in the denominator, but you can see that the variable is x, and x is in the numerator, thus, this is not an example of inverse variation.

We can conclude that:

f(x) = kx

and

f(x) =-kx/z

Are not examples of inverse variation.

Answer:

The characteristics of a proportional relationship are: 1) It is a straight line; 2) the line goes through the origin of (0,0); and 3) the unit rate is (1,r).  It most have all three.

Step-by-step explanation:

Answer:

-95

Step-by-step explanation:

4+9(3+11)-15²

So, the order of operations is PEMDAS. The first thing is "P" for Parenthesis, so you would do whatever is in the parenthesis first.

3+11= 14

Now, the expression is 4 + 9 (14) - 15²

The next letter is "E" for Exponents. so the 15² has an exponent, so you do    15 x 15.

4+9(14)-225

Next is "M" for Multiplication. A number next to a parenthesis can mean multiplication as well. So, you do 9 × 14 = 126

Now, it's 4 + 126 - 225

Since there is only addition and subtraction left, you go left to right.

4 + 126 = 130

130 - 225 = -95

Hope this helps !!

-Ketifa

Hey there!

[tex]\large\textsf{Do PEMDAS to solve!}\\\\\\\large\textsf{PEMDAS simply MEANS....}\\\\\\\large\textsf{Parentheses}\\\\\large\textsf{Exponents}\\\\\large\textsf{Multiplication}\\\\\large\textsf{Division}\\\\\large\textsf{Addition}\\\\\large\textsf{Subtraction}[/tex]

[tex]\large\textsf{4 + 9(3 + 11) - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{3 + 11 = \bf 14}[/tex]

[tex]\large\textsf{= 4 + 9(14) - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{9(14) = \bf 126}[/tex]

[tex]\large\textsf{= 4 + 126 - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{4 + 126 = \bf 130}[/tex]

[tex]\large\textsf{= 130 - 15}^\mathsf{2}[/tex]

[tex]\large\textsf{15}^\mathsf{2}\\\large\textsf{= 15}\times \large\textsf{15} \\\large\textsf{= \bf 225}[/tex]

[tex]\large\textsf{= 130 - 225}[/tex]

[tex]\large\textsf{= \bf -95}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -95}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

16 × X + 3=

Step-by-step explanation:

u will get your answer

Answer:

The events are independent and are not mutually exclusive.

Step-by-step explanation:

Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.

And two events are mutually exclusive if these can't occur at the same time.

Here the events are:

a = rolling a 4 on the first die

b = rolling a 3 on the second die.

Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.

And because each outcome is on a different die, we can conclude that these events are independent.

(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).

Now, the events are mutually exclusive?

No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.

Answer:

YES.

Step-by-step explanation:

The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.

Just took quick check

Step-by-step explanation:

b varies as √c

b=kc

divide both side by c

k=b/c

k=100/4

k=25

the equation is:

25=b/c

Answer:

20

Step-by-step explanation:

There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third

6*5*4

But order doesn't matter

Divide by the number of items factorial

3! = 3*2*1 = 6

6*5*4

--------

6

20

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr====yzzzdccccccccccccc

Step-by-step explanation:

Answer:

Yes, because 1 & 2 have to be the same

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Supplementary means 180 degree.

∠1 + ∠3 = 180 ----> eq. 1

∠2 and ∠3 are linear pair angles which are also supplementary.

∠2 + ∠3 = 180 ----> eq. 2

∠3 = 180 - ∠1 ----> eq. 3

( from eq. 1 )

∠3 = 180 - ∠2 ----> eq. 4

( from eq. 2 )

From, eq. 3 and eq. 4,

180 - ∠1 = 180 - ∠2

Subtract 180 on both sides.

180 - 180 - ∠1 = 180 - 180 - ∠2

- ∠1 = - ∠2

Multiply - 1 on both sides,

∠1 = ∠2

Since,

∠1 = ∠2

Sides opposite to them also equal

So, AC = BC

If any two sides in a triangle is equal, then the triangle is an isosceles triangle.

Therefore,

Δ ABC is isosceles.

Answer:

Step-by-step explanation:

-7q+12r=3q-4r

-10q=-16r

r=(5/8)q

I think its correct

Answer:

r = 5/8(q)

Step-by-step explanation:

−7q + 12r = 3q − 4r

Add 4r to both sides:

−7q + 12r + 4r = 3q − 4r + 4r

−7q + 16r = 3q

Add 7q to both sides:

−7q + 16r + 7q = 3q + 7q

16r = 10q

Divide both sides by 16:

(16r)/16 = (10q)/16

r = 5/8(q)

Answer:

∠2 ≅ ∠B

Step-by-step explanation:

Let the triangle be ABC,

Given that,

∠A = 50°

∠C = 65°

Using angle-sum property of the triangle,

∠A + ∠B + ∠C = 180°

50° + ∠B  + 65° = 180°

∵ ∠B = 65°         ...(i)

A.T.Q.

Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.

Since the adjacent angles comprising a straight line is equals to 180°.

so,

∠2 + 50° + 65° = 180°

∠2 + 115° = 180°

∠2 = 180° - 115°

∵ ∠2 = 65°   ...(ii)

Using (i) and (ii),

∠2 ≅ ∠B

Therefore, ∠2 and ∠B are congruent to one another.

Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.

Step-by-step explanation: its the sample response

Answer:

f(f(-1)) = 0

Step-by-step explanation:

Ok I'm assuming that's supposed to be a chart of some kind.  So first, you have to find what f(-1) is according to the chart.  

According to the chart, if x = -1, then f(-1) is -5

Now comes the next part of the equation.  So you need to find f(-5)

-5 was already founded by f(-1) bc it's first in the parantheses.

f(-1) is -5

so we need to find f(-5)

According to the chart f(-5) is 0

So ur final answer is gonna be 0

Answer:

B

Step-by-step explanation:

- Divide the base by 2

10 / 2 = 5 in

- multiply by √3

5√3 in

Answer:

Yes. It represents [tex]m = h + 1000[/tex] (where h is hours of training and m is monthly pay).

Answer:

b

Step-by-step explanation:

Answer: 29152332 ≡ 0 (mod 3)

Step-by-step explanation:

In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.

To solve this problem, we want to divide 29152332 by 3 and find the remainder.

29152332 ÷ 3 = 9717444

Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).

Answer:

G 4 cm

Step-by-step explanation:

28/7 = 4, so the scale factor is 4. Therefore, if AC is 16, and triangle ABC is the bigger triangle, then divide it by 4 to get 4 cm for the smaller triangle DEF.

Answer:

126,000

Step-by-step explanation:

150,000 * .15 = 22,500

150,000 - 22,500= 127,000

127,000 - 1500 = 126,000

Answer:

sin C = 12/13

Step-by-step explanation:

Since this is a right triangle

Sin C = opp side / hypotenuse

sin C = 36/39

sin C = 12/13