Uma maneira de realizar a operação 9972 - 9 de forma rápida e correta é calculando 1 000 * 994, que é igual a 994 000. A igualdade que justifica esse fato está expressa em:

a) (a + b)² = a² + b² + 2ab
//
b) a² - b² = (a + b)(a - b)
//
c) a² - b² = (a - b)²
//
d) (a - b)² = a² - 2ab + b²
//
e) a² - b² = 1 000(a + b)

Answer:

y= -6

x = 2

(2,-6)

Step-by-step explanation:

Indepedent variable = x = 2

Plug 2 in for x

f(2) = -5(2) + 4

-10 + 4 = -6

y = -6

Answer:

720º

Step-by-step explanation:

To find the total amount of interior angles in any polygon, we have to use the formula, (n-2)*180.

Here, the n is the number of sides the polygon has. In this case, your polygon has 8 sides. Therefore it would be (8-2)*180 --> 4*180 = 720º.

Answer:

the answer is 720. Please give me brainliest

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x-2=-14

29-(-14)=43

hope this helps :)

Answer:  Choice D

15(cos85° + i sin85°)

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

Explanation:

Let's say we had these two general complex numbers, which are in polar form.

[tex]z_1 = r_1*\left(\cos(\theta_1)+i*\sin(\theta_1)\right)\\\\z_2 = r_2*\left(\cos(\theta_2)+i*\sin(\theta_2)\right)\\\\[/tex]

We can abbreviate them into the shorthand form

[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\[/tex]

The notation "cis" stands for "cosine i sine".

Now that we have those complex numbers set up, multiplying them is as simple as saying this:

[tex]z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)[/tex]

We do two basic things:

---------------------------------------

With all that in mind, let's tackle the problem your teacher gave you.

The given complex numbers

[tex]z_1 = 5*\left(\cos(15^{\circ})+i*\sin(15^{\circ})\right)\\\\z_2 = 3*\left(\cos(70^{\circ})+i*\sin(70^{\circ})\right)\\\\[/tex]

abbreviate into

[tex]z_1 = 5*\text{cis}(15^{\circ})\\\\z_2 = 3*\text{cis}(70^{\circ})\\\\[/tex]

then those multiply to

[tex]z_1*z_2 = (r_1*r_2)*\text{cis}(\theta_1+\theta_2)\\\\z_1*z_2 = (5*3)*\text{cis}(15+70)\\\\z_1*z_2 = 15\text{cis}(85^{\circ})\\\\z_1*z_2 = 15\left(\cos(85^{\circ})+i\sin(85^{\circ})\right)\\\\[/tex]

which is why choice D is the final answer.

Answer:

The speed of the balloon is 0.16 m/s.

Step-by-step explanation:

CD = 300 m

Let AD = x

AB = y

time, t = 3 min

Triangle, ADC

[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]

Triangle, BCD

[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]

So, y = 109.2 - 80.4 = 28.8 m

Speed = 28.8/180 = 0.16 m/s

Answer:

Step-by-step explanation:

Use Pythagorus to find the length of the unmarked length

c^2 = a^2 + b^2

a = 5

b = 17 -10 = 7

c = ?

c^2 = 5^2 + 7^2

c^2 = 25 + 49

c = sqrt(74)

c =8.602

P = 5 + 10 + 17 + 8.602

P = 40.602

Answer:

A= (3*X - 6[tex]\sqrt{x}[/tex])/(X-4)

A=(3*2 - 6[tex]\sqrt{2}[/tex])/(2-4)= -3+3[tex]\sqrt{2}[/tex]

A=(3*4 - 6[tex]\sqrt{4}[/tex])/(4-4) Unknown

Step-by-step explanation:

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

m <1 = 147

m <2 = 90

Step-by-step explanation:

In rhombus diagonals are perpendicular to each other so

m <2 = 90

m < 1 = 180- 33

= 147

Answered by Gauthmath

The required angle of the rhombus m∠1 = 57° and m∠2 = 90°.

Given that,
A figure of a rhombus is shown,
An angle of 33° is given,
m∠1 and m∠2 is to be determined.

The triangle is a geometric shape that includes 3 sides and sum of the interior angle should not greater than 180°.

The angle can be defined as the one line inclined over another line.

Here, the rhombus has been shown with an angle of 33° of the side with one of the diagonal.

Since the diagonal of the rhombus bisect each other at an angle of 90 so the angle m∠2 = 90  and the sum of the interior angle of a triangle is 180. So,
m∠1 + 33 + 90 = 180
m∠1 = 180 - 123
m∠1 = 57

Thus, the required angle of the rhombus m∠1 = 57° and m∠2 = 90°.

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Answer: [tex]x=1[/tex]

Step-by-step explanation:

[tex]2^x-4=4^x-6[/tex] is the equation that you've given us.

Now if we plot these two equations on the graph we notice there's an intersection at (1,-2). Therefore meaning that [tex]x=1[/tex].

We can prove that by doing the following calculations to prove that both sides are equal to each other.

The left side of the equal sign:

Step 1: Write the equation down:

[tex]2^x-4[/tex]

Step 2: Substitute x for the numerical value we found.

[tex]2^1-4[/tex]

Step 3: Find the square of [tex]2^1[/tex], which is itself, 2.

[tex]2-4[/tex]

Step 4: Subtract 2 from 4. Which is a negative number, thus being -2.

[tex]-2[/tex]

The right side of the equal sign:

Step 1: Write the equation down:

[tex]4^x-6[/tex]

Step 2: Substitute x for the numerical value we found.

[tex]4^1-6[/tex]

Step 3: Find the square of [tex]4^1[/tex], which is itself, 4.

[tex]4-6[/tex]

Step 4: Subtract 4 from 6. Which is a negative number, thus being -2.

[tex]-2[/tex]

We know that [tex]x=1[/tex] because when substituting x with 1, we get -2 on both sides. Therefore making this statement true and valid.

[tex]-2=-2[/tex]

Answer:

A 5 sided figure

Step-by-step explanation:

To find the sum of interior angles we use the formula

S = (n - 2) *180

540 = 180n - 360

180n = 540 + 360

180n = 900

n = 900/180

n = 5

The number of sides of a polygon with the given sum of interior angles is 5.

Option A)5-sided figure is the correct answer.

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The formula for calculating the sum of interior angles of a polygon is;

S =  ( n − 2 ) × 180°

Where S is the sum and n is the number of sides.

Given that the sum of the interior angles equal to 540°.

From the above expression;

S =  ( n − 2 ) × 180°

540° =  ( n − 2 ) × 180°

540° =  180°n − 360°

180°n = 540° + 360°

180°n = 900°

n = 900° / 180°

n = 5

The number of sides of a polygon with the given sum of interior angles is 5.

Option A)5-sided figure is the correct answer.

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Answer:

I believe the answer would be 48.6 milliliters

Step-by-step explanation:

54 * 0.9 = 48.6

Answer:

10

Step-by-step explanation:

just took the quiz

Answer:

The equation is true.

Step-by-step explanation:

In order to solve this problem, one must envision a right triangle. A diagram used to represent the imagined right triangle is included at the bottom of this explanation.  Please note that each side is named with respect to the angle is it across from.

Right angle trigonometry is composed of a sequence of ratios that relate the sides and angles of a right triangle. These ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

One is given the following equation,

[tex]\frac{sin(A)+sin(B)}{cos(A) +cos(B)}+\frac{cos(A)-cos(B)}{sin(A)-sin(B)}=0[/tex]

As per the attached reference image, one can state the following, using the right angle trigonometric ratios,

[tex]sin(A)=\frac{a}{c}\\\\sin(B)=\frac{b}{c}\\\\cos(A)=\frac{b}{c}\\\\cos(B)=\frac{a}{c}[/tex]

Substitute these values into the given equation. Then simplify the equation to prove the idenity,

[tex]\frac{sin(A)+sin(B)}{cos(A) +cos(B)}+\frac{cos(A)-cos(B)}{sin(A)-sin(B)}=0[/tex]

[tex]\frac{\frac{a}{c}+\frac{b}{c}}{\frac{b}{c}+\frac{a}{c}}+\frac{\frac{b}{c}-\frac{a}{c}}{\frac{a}{c}-\frac{b}{c}}=0[/tex]

[tex]\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{b-a}{c}}{\frac{a-b}{c}}[/tex]

Remember, any number over itself equals one, this holds true even for fractions with fractions in the numerator (value on top of the fraction bar) and denominator (value under the fraction bar).

[tex]\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{b-a}{c}}{\frac{a-b}{c}}[/tex]

[tex]\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{-(a-b)}{c}}{\frac{a-b}{c}}[/tex]

[tex]1+(-1)=0[/tex]

[tex]1-1=0[/tex]

[tex]0=0[/tex]

Answer:

Look down below

Step-by-step explanation:

A.)Net capitalized cost=146,000-3000= $143,000

Net capitalized cost = 143,000

B.)Money factor=8.4/100 over 24=0.084/24=0.0035

Money Factor= 0.0035

C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763

Average Monthly Finance Charge= $763

D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33

Average monthly deprecation= $1133.33

E.)monthly lease payment=1133.33/5= $226.66

Monthly lease payment= $226.66

Answer:

x = 15

Step-by-step explanation:

3x - y = 30

Given;

y = 15

To find;

value of 'x'

Putting the value of y in the given equation;

3x - 15 = 30

3x = 30 + 15

3x = 45

x = 45/3

x = 15

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Kim is 20 years old

Step-by-step explanation:

We have to make equations;

Kim= laura+10 so L+10

Laura is twice as old as Melissa so Laura will be

2 X M = 2M

Input values in to the equation

As Kim is 10 years older than Laura it will be 10+10

The age of Kim is 20 years.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

Kim's age = laura' age +10 years  

= x +10

As, Laura is twice as old as Melissa

Laura's age = 2*y

Now, Melissa is 5 years old now

So,

2y = 2X5= 10 years old

So, the Kim's age= 10+ 10 = 20 years old

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Answer:

not sure if the answer is obvious but I'd say $6.89 + t = $8.00

Step-by-step explanation:

so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart

after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this

$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip

now continue checking your answer next is , $6.89 - t = $8.00

which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11

hopefully that help maybe i can get brainlist?!

Answer:

6.89 + t = 8.00

Step-by-step explanation:

it's A

Edge 2021

Answer:

20×2=40bnmcsshjvghjpiutewqadgjlmbcz

Answer: all real numbers

Step-by-step explanation:

Step-by-step explanation:

that is really a problem ?

come on !

you know, the area of a square is side length × side length = length²

that is basically all of us learn as the very first thing when we are learning about squaring and multiplication.

how do we get the regular side length out of length² ?

we pull the square root. you have a calculator (at least on your computer, cell phone,...).

sqrt(121) = .... .... .... 11 ! tada !

and the perimeter of a square ... you really have to ask ?

it is the way all around the whole square. you need to go along every one of the 4 sides.

so, it is side length × 4 = 11×4 = 44 cm

again - you really needed help with THAT ?

Answer:

True

Step-by-step explanation:

tan B = sin B / cos B = 3/4 Let sin B =3 and cos B = 4

Cot B = cos B / sin B = 4/3

This is true

Answer:

422.39

Step-by-step explanation:

[tex]A = \pi r^2\\A = 144\pi \\\\144\pi -30 = 422.39[/tex]

use a calculator for the above and round

Answer:

b option is the weight answer I think.

This is a isoceles triangle so base angles will be equal.

Therefore

ATQ

55 + 55 + x = 180

110 + x = 180 (Angle Sum Property)

x = 180 - 110

x = 70

Therefore x° = 70°

Answered by Gauthmath must click thanks and mark brainliest

Answer:x°=70°

Step-by-step explanation:

This is an isoceles triagle because the values on the sides of the figure are the same. Therefore the base angles will be equal.

55+55+x=180

110+x=180

Next, you will subtract 110 from both sides.

110+x=180

-110     -110

x°=70°

Given:

Teresa has $451 in a personal bank account,and then withdraws $10 per week.

Andrew has $10 in a personal bank account,and then deposits $53 each week.

To find:

After how many weeks will they have the same amount of money in the bank.

Solution:

Let x be the number of weeks after which they have the same amount.

Teresa has $451 in a personal bank account,and then withdraws $10 per week. So, the amount in Teresa's account is:

[tex]\text{Teresa's account}=451-10x[/tex]

Andrew has $10 in a personal bank account,and then deposits $53 each week. So, the amount in his account is:

[tex]\text{Andrew's account}=10+53x[/tex]

They have equal amount after x weeks. So,

[tex]451-10x=10+53x[/tex]

Isolate variable terms.

[tex]451-10=10x+53x[/tex]

[tex]441=63x[/tex]

Divide both sides by 63.

[tex]\dfrac{441}{63}=x[/tex]

[tex]7=x[/tex]

Therefore, they will have the same amount of money in the bank after 7 weeks.

Explanation:

When multiplying fractions, we multiply the numerators together, and the denominators are handled separately.

The numerators in this case are -1 and 3. They multiply to -3

The denominators multiply to 2*4 = 8

So that's how we end up with -3/8 as the final answer

This fraction cannot be reduced any further, because 3 and have 8 no factors (other than 1) in common.

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

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

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A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

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I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

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An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

Answer:

is it 4.2626

Step-by-step explanation:

let me know if it right