How many ways can the teacher choose 5 girls to present their reports on Monday, and 5 boys to present their reports on Tuesday? Using (15C5), (14C5)

The value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex] .

Triangle is a three sides two dimensional surface having three angles.

We have,

[tex]\triangle MRN[/tex] , [tex]\triangle RSM[/tex] and [tex]\triangle RSN[/tex],

And, [tex]NS =6,\ SM=2,\ RM=x,\ NR=y,\ RS=z[/tex]

Now,

We have right angle [tex]\triangle MRN[/tex],

Using Pythagoras theorem,

[tex]x^2+y^2=8^2[/tex]

[tex]x^2+y^2+=64\[/tex]     [tex].....(i)[/tex]

Now, We have right angle [tex]\triangle RSN[/tex],

Again Using Pythagoras theorem,

[tex]z^2+6^2=y^2[/tex]

⇒[tex]z^2=y^2-36[/tex]     [tex].....(ii)[/tex]

Now, We have right angle [tex]\triangle RSM[/tex],

Again Using Pythagoras theorem,

[tex]z^2+2^2=y^2[/tex]

⇒[tex]z^2=x^2-4[/tex]     [tex].....(iii)[/tex]

Now comparing equation [tex](ii)[/tex] and equation  [tex](iii)[/tex],

We get,

[tex]x^2-4=y^2-36[/tex]

We get,

[tex]x^2-y^2=-36+4[/tex]

[tex]x^2-y^2=-32[/tex]     [tex].....(iv)[/tex]

Now,

Adding equation [tex](i)[/tex] and equation  [tex](iv)[/tex], i.e.

[tex]x^2+y^2+=64[/tex]

[tex]x^2-y^2=-32[/tex]

We get,

[tex]2y^2=96[/tex]

[tex]y^2=48[/tex]

[tex]y=\sqrt{48}[/tex]

[tex]y=4\sqrt{3}[/tex]

So, the value of [tex]y[/tex] is [tex]4\sqrt{3}[/tex]

Hence, we can say that the value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex]  which is given in option (b).

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Answer:

its c

Step-by-step explanation:

taking test rn

Answer:

Just do minus two, and you will get 27-100=-73

Step-by-step explanation:

Answer:

Looks right to me! Great work!

Answer:

This is an percentage change question, by any chance you have a maths textbook, look for units that contains the topic: Percentage Change. Now, let's get solving! :)

Step-by-step explanation:

Firstly, you must multiply 4.5% with 56. That is: shipping fees x purchase price

That gives ($) 2.52 (this is your answer)

No addition/totaling needed as the question asked ONLY for the shipping fees.

Stay safe and Merry Christmas! :)

Answer:

The answer is 5.8

Step-by-step explanation:

Answer:

-5.8

Step-by-step explanation:

Given:

[tex]\dfrac{5}{6+2i}[/tex]

To find:

The  quotient in the form a + bi.

Solution:

We have,

[tex]\dfrac{5}{6+2i}[/tex]

Multiply numerator and denominator by 6-2i.

[tex]=\dfrac{5\times (6-2i)}{(6+2i)\times (6-2i)}[/tex]

[tex]=\dfrac{5(6)+5(-2i)}{6^2+(2i)^2}[/tex]

[tex]=\dfrac{30-10i}{36+4i^2}[/tex]

[tex]=\dfrac{30-10i}{36+4(-1)}[/tex]    [tex][\because i^2=-1][/tex]

On further simplification, we get

[tex]=\dfrac{30-10i}{36-4}[/tex]

[tex]=\dfrac{30-10i}{32}[/tex]

[tex]=\dfrac{30}{32}-\dfrac{10i}{32}[/tex]

[tex]=\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex]

Therefore, the form a+bi is [tex]\dfrac{15}{16}+(-\dfrac{5}{16})i[/tex], where, [tex]a=\dfrac{15}{16}[/tex] and [tex]b=(-\dfrac{5}{16})[/tex].

Answer:

1 inch of drawing = 45 feet

Step-by-step explanation:

Given that:

Length between the bases on a baseball field = 90 feet

As per the scale drawing, the distance between the bases is equal to 2 inches.

To find:

Length of one inch on the drawing is equal to actual length of how many feet?

Solution:

First of all, let us learn about the scale drawings.

Scale drawings are a way to represent the big real world measurements on a paper.

Therefore, small measurements are used to represent the bigger real world measurements.

Here, it is given that:

2 inches on scale is equal to 90 feet of actual length.

Therefore,

1 inch on scale is equal to [tex]\frac{90}{2}[/tex] = 45 feet of actual length.

Therefore, 1 inch of drawing = 45 feet

Answer:

12.50

Step-by-step explanation:

i think

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Answer:

Independent Variable: Number of bagels bought

Dependent Variable: Total cost because it depends on the number of bagels bought.

Function: N(x)=1.75x

So, if x is the number of bagels bought, N(14) means that 14 bagels were bought. So you multiply 14 by the price; 1.75. So, N(x)=1.75*14 = $24.5

Step-by-step explanation:

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is V(x) =1.75x.

So V(14) = 24.5, meaning 14 bagels will cost 24.5 dollars.

Step-by-step explanation:

Have a good day :)

Please give me Thanks

=========================================================

Explanation:

Start at x = 3 on the x axis. Move up until you reach g(x), then move to the left to hit the y axis. You should arrive at y = 3.

That y value is the input to the f(x) function.

Plugging x = 3 into the f(x) function has us draw a vertical line down to f(x) and then go horizontally until we reach y = -2.

Answer:

d. plants take in water for photosynthesis

Step-by-step explanation:

an adaptation would be a way the plant has adapted in response to a specific environment

all plants take in water for photosynthesis, so it's not an adaptation to a habitat since plants in all habitats do that

Answer:

(4,5)

Explanation: 9-5=4, 4+1=5

Answer:

a) 1.24 g/ml

b) 2.4%

Step-by-step explanation:

density = mass/volume

volume of sample = 28.4 - 15 = 13.4mL

density = 13.4/10.8

=1.24 g/ml

percent error

1.27 - 1.24 = 0.03

0.03/1.24 *100% = 2.4% error

Answer:

its 14.7

Step-by-step explanation:

I Took The Test

Mrs. Marina requires 5/2 or 2.5 cups of sugar to make  one and one half of the recipe.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

A recipe requires 1 (2/3) cups of sugar.

That is 1 recipe requires = 1(2/3) cups of sugars

                                        = 5/3 cups of sugar

Now, Marina is going to make one and one half of the recipe and to find the sugar he needed we simply multiply 1(1/2) both the sides :

1 recipe requires = 5/3 cups of sugar

1(1/2) recipe requires = (5/3) x 1(1/2) cups of sugar

3/2 recipe requires = (5/3) x (3/2) cups of sugar

3/2 recipe requires = 5/2 cups of sugar or 2.5  cups of sugar.

Therefore, Mrs. Marina requires 5/2 or 2.5 cups of sugar to make  one and one half of the recipe.

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Answer:

The correct answer is A. The common difference is 0.38

Step-by-step explanation:

Hope i helped! Have a great day <3

Answer:

open the brackets is the first step

Step-by-step explanation:

4x(12 + 8x) -9x( 12+8x) = 36x

48x + 32x^2 -108x -72x^2 =36x

32x^2 - 72^2 + 48x - 36x - 108x = 0

-40x^2 -96x = 0

find x using quadratic formular

Answer:

d. 22%

Step-by-step explanation:

Yellow tokens = 11

Total tokens = 50

Probability of drawing yellow = 11/50 = 0.22

Multiply it by 100

you'll get 0.22*100 = 22 %

Hope you got it.

Answer:

135.3

Step-by-step explanation:

Do 22x17.35=381.7 then do 22x23.50=517

517-381.7=135.3

Answer:

135.30

Step-by-step explanation:

Answer:

Step-by-step explanation:

If triangle ABC is similar to triangle DEF, then:

                                                                    [tex]\dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

Therefore:

[tex]\dfrac{x}{5}=\dfrac{12}{4}\\\\\dfrac{x}{5}=3\\\\x=15[/tex]

Answer/ explanation: -10 for sure :)

The next two terms after -40 in this pattern are 60 and -160.

The difference between every two subsequent words in a sequence is the same; this is known as an arithmetic progression (AP). An equation for the previous block of the AP may be derived from this kind of development. For instance, the sequence 2, 6, 10, 14,... is a mathematical progression (AP) because it fits a pattern where every other number is acquired by adding 4 to the respective period.

The given data is,

-10, 20, -40

From -10 to 20 it is multiplied by 2 with a positive sign, and from 20 to -40 it is multiplied by 2 with a negative sign. Similarly, the next two numbers are 80 and -160.

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Answer: March 6th, 2021

Answer:

y = 2, x = 0

Step-by-step explanation:

2x + 4y = 8

x = 3y - 6

2x + 4y = 8

2 ( 3y - 6 ) + 4y = 8

10y - 12 = 8

10y = 20

y = 2

x = 3y - 6

x = 3 ( 2 ) - 6

x = 0

Answer: 6mins

Step-by-step explanation:

6mins, because 10x6= 60 (or) 60/10=6

Answer:

30 minutes

Step-by-step explanation:

60 divided by 2 which would give you 30 minutes.

Answer:

yes it is

Step-by-step explanation:

Answer:

x = 6.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We have a right triangle triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from the angle measure

Angle = 64°

Opposite = 13

Adjacent = x

Step 3: Solve for x

Answer:

104

Step-by-step explanation:

Because the square root of 104 is 10.433

Answer:

104

Step-by-step explanation: