The reciprocal pronouns each other and one another are used when two or more subjects in a sentence are also

We need to find Ο for : sin(Ο)= cos(6)

We know that:

cos θ =sin (90 - θ), so if we call θ = 6 then O will be:

O = 90 - θ

O = 90 - 6

The value of 0 is 84.

Given that,

Based on the above information, the calculation is as follows:

cos θ =sin (90 - θ),

So in the case when θ = 6

So, O will be

O = 90 - θ

O = 90 - 6

O = 84

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Step-by-step explanation:

3)

4(5)+3x=24.50

20+3x=24.50

-20        -20

3x=4.50

/3      /3

x=$1.50

5)

4x+2(8)=56

4x+16=56

   -16   -16

4x=40

/4    /4

x=10 tables

7)

1(12)+6x=33

12+6x=33

-12        -12

6x=21

/6    /6

x=$3.5

The answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

3)

Let x be the cost of each fry.

4×5 + 3x = 24.50

20 + 3x = 24.50

3x = 4.5

x = $1.5 each fry

5)

Let x be the number of tables for a four-person.

Couple means two persons.

56 - 2×8 = 4x

4x = 40

x = 10 four-person tables

7)

Let x be the cost of each order of ice cream:

12 + 6x = 33

x = $3.5 each order of ice cream.

Thus, the answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

Learn more about the linear equation here:

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Answer:

hi im zachary Grace im a male please wait while i type your awsner ;) So, m = 180 - 110 or 70°. interior angles, so they have the same measure so i think its A or B i tried hope this helps

Answer:

choice b

Step-by-step explanation:

Answer:

C. 80

Step-by-step explanation:

5x10x.5=25

25x2=50

3x10=30

50+30=80

Answer:

C

Step-by-step explanation:

Split the shape into normal shapes such as a rectangle and two triangles

use there formulas for area for each shape

rectangle L x W

10 x 3 = 30

for triangles it’s side a times the base divided by 2

5 x 10 / 2 = 25

so it’s 50 because there is two triangles

add 50 and 30

so it’s 80ft so C

Answer:

This describes a translation.

I did b on the test hope this helps

Answer:

When 6514 is divided by 214, it equals approximately 30.4. So Daniel will have filled 30 smaller bags.

Answer:

number 1  anwser 110

Step-by-step explanation:

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Null [H0] : chips x = 408

Alternate [H1] : chips x < 408

t = ( x' - u ) / (s / √n)

x' = sample mean , u = population mean, s = standard deviation, n = no. of observations.

(406 - 408) / (21 /√45)

-2 / 3.13

= 0.64

t value for α = 0.01 (one tailed), with degree of freedom = 44  : is 2.41

As calculated t 0.64 < tabulated t 2.41. So we don't reject the null hypothesis & state that chips x = 408

Answer:

1.66 (appx)

Step-by-step explanation:

According to BODMAS rule , we should solve division operation in the expression first , then we'll finish the addition opearation .

[tex]0.65 \div 0.75 + 0.8[/tex]

[tex] = > \frac{65}{100} \div \frac{75}{100} + \frac{8}{10} [/tex]

[tex] = > \frac{65}{100} \times \frac{100}{75} + \frac{8}{10} [/tex]

[tex] = > \frac{13}{15} + \frac{8}{10} [/tex]

[tex] = > \frac{(13 \times2) + (8 \times 3) }{30} [/tex]

[tex] = > \frac{50}{30} = \frac{5}{3} = 1.6666.........[/tex]

Answer:

Step-by-step explanation:

The nth term of a geometric sequence is expressed as;

Sn = a(r^n - 1)/r - 1

a is the first term of the sequence

r is the common ratio

n is the number of terms

From the sequence;

a = 3

r = -6/3 = 12/-6 = -2

n = 5 (since are looking for the sum of first five terms)

Substitute into the formula;

S5 = 3((-2)^5 - 1)/-2 - 1

S5 = 3(-32-1)/-3

S5 = 3(-33)/-3

S5 = -(-33)

S5 = 33

Hence the sum of the first five terms of the sequence is 33

Answer:

1)x=2. 2)x=5/2

Step-by-step explanation:

Steps in pic below

Answer:

Length = 12 inches

Width = 14 inches

Step-by-step explanation:

Formula for perimeter of a rectangle is;

P = 2(L + W)

Where;

L is length

W is width

We are told that the length is 2 inches shorter than its width. Thus;

L = (W - 2)

Thus,perimeter is now;

P = 2(W - 2 + W)

P = 2(2W - 2)

P = 4W - 4

We are told that the perimeter is 52. Thus;

4W - 4 = 52

4W = 52 + 4

4W = 56

W = 56/4

W = 14 inches

From L = (W - 2) ;

L = 14 - 2

L = 12 inches

Answer:

um D I really hope this helps

Step-by-step explanation:

: a p e x

Answer:

Step-by-step explanation:

Answer:

I replaced x with y because, If it was x there would be no graph

Step-by-step explanation:

Answer:

The value of the limit is 12.

Step-by-step explanation:

Small typing mistake, the limit is of h tending to 0.

Then

Calling the limit L

h is the common term in the numerator, then

Simplifying by h

Since h tends to 0.

Answer: 128

Work: I just did 4 to the power of 3 which is 64, and I did 8 to the power of 2 which is also 64. 64 + 64 = 128, which is the answer. I hope this helps, and stay safe. :)

Hey there!

This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.

The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!

We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.

There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.

So, x=31 and y=29.

I hope that this helps! Have a wonderful day! :D

Given:

Two cards are drawn from a standard deck of 52 cards without replacement.

To find:

The probability that both cards selected for black.

Solution:

We know that,

Total number of cards = 52

Total number of red cards = 26

Total number of black cards = 26

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

Probability of selecting first black card is

[tex]\text{Probability}=\dfrac{26}{52}[/tex]

[tex]\text{Probability}=\dfrac{1}{2}[/tex]

Number of remaining total cards = 52-1 = 51

Number of remaining black cards = 26-1 = 25

Probability of selecting second black card is

[tex]\text{Probability}=\dfrac{25}{51}[/tex]

So, the probability that both cards selected for black is

[tex]\text{Probability}=\dfrac{1}{2}\times \dfrac{25}{51}[/tex]

[tex]\text{Probability}=\dfrac{25}{102}[/tex]

Therefore, the required probability is [tex]\dfrac{25}{102}[/tex].

Answer:

The answer is i have no clue

1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

Answer:

18

Step-by-step explanation:

I just counted and put together pieces that would reasonably make a full square

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

[tex]x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25[/tex]

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

Answer:

(B) 35x5/7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There is no bias involved and there is a chance for everyone to do it.

Answer:

D

Step-by-step explanation:

Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.

Answer:

-131

Step-by-step explanation:

By dividing by 2, we find that x = 23

Plugging this into the equation we can find

7-6x=7-6(23)=-131

Answer:

-131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2x = 46

Step 2: Solve for x

Step 3: Define

7 - 6x

Step 4: Evaluate

Answer:

c. 0.0498

Step-by-step explanation:

First of all, let us find the number of four digit numbers possible.

There are 4 digits and let us have a look at the possibility of each digit.

Number of possible options for Unit's digit = 10

Number of possible options for ten's digit = 10

Number of possible options for hundred's digit = 10

Number of possible options for thousand's digit = 9 (because 0 can not be there to make it a 4 digit number)

Total number of possible outcomes = [tex]10\times 10\times 10\times 9 = \bold{9000}[/tex]

As per the given condition, unit's digit is 7.

So, number of possible options for unit's digit = 1

Number of possible options for thousand's digit = 8 (7 and 0 can not be there to make it a 4 digit number)

Number of possible options for hundred's digit = 8 (7 and one digit used in thousand's place can not be there)

Number of possible options for ten's digit = 7 (7, two digits used at thousand's and hundred's places)

Number of possible outcomes as per given conditions = [tex]1\times 8\times 8\times 7 = \bold{448}[/tex]

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(E) = \dfrac{448}{9000} =\bold{0.0498}[/tex]

Answer:

12.75$

Step-by-step explanation:

15$/100=0.15

0.15×15%=2.25

15$-2.25=12.75$