to construct a rectangle you must have one side and :
(1) it’s opposite sides
(2) it’s adjacent sides
(3) two angles
(4) four angles

If u answer this question i will give brainlyest and 40 marks

Answer:2x34=344343

Step-by-step explanation:32323=23=232

The given expression can be simplified as follows:

Compare with the given term as follows:

Therefore r, the exponent of y is 5

s, the exponent of z is 25

t, the exponent of x is 1.

The answer that tells us that Papa wants to make a good impression on Sarah is that 'He slicks his hair back carefully and wears a clean shirt.''

This term is used to tell us that a person is trying to appear in a likeable way. That is they are trying to appear in a way that they would send off the right messages to the people that they are meeting. This is what we see here as Papa dresses up.

We can see how the passage described the actions that he carried out. He was said to have worn a clean shirt and done his hair carefully.

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\(\huge \text{Hello there! :)}\)

I'm happy to be helping you today!

Answer:

Step-by-step explanation:

Step 1:

In this question, we are given the following information from the question.

Step 2:

The details of the solution are as follows:

a) Type of function: Floor Function

b) Write the formula for the function C, the charge for a trip of m miles:

\(\tt C=3+0.6~floor~(x)\)

c) Graph the function for the first 10 miles:

The graph is attached!

\(\huge \text{Hope this helps! :)}\)

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{\underline{y} varies inversely with \underline{x}}}{y=\cfrac{k}{x}}\qquad \textit{we also know that} \begin{cases} y=49\\ x=17 \end{cases} \\\\\\ 49=\cfrac{k}{17}\implies 833=k~\hfill \boxed{y=\cfrac{833}{x}} \\\\\\ \textit{when y = 7, what is "x"?}\qquad 7=\cfrac{833}{x}\implies x=\cfrac{833}{7}\implies x=119\)

Answer:

Below

Step-by-step explanation:

L = (1/2W + 4)   <====given

Area = L x W

         = (1/2W +4)(W)

         = 1/2 W^2 + 4W

Like the given triangle is an isosceles triangle, the value of ∠ABC is 72°.

There are 3 main classifications for triangles refer to its sides.

The figure shows that the given triangle is an isosceles triangle because it has two equal sides (AB=AC). If it is an isosceles triangle, this triangle presents two sides with the same dimensions (AB=AC). and it has two angles with equal size(∠ACB=∠ABC).

Knowing the sum internal angles of triangle is 180°. You can write:

3x+6x+6x=180

15x=180

x=12

Like ∠ABC=6x, then ∠ABC=6*12=72°.

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Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

i) Rest time is given by:

Where:

Final time of rest = 13:15

Initial time of rest = 12:45

Therefore:

Answer i) 30 minutes

ii) The distance traveled after the rest is given by:

Where:

Final distance = 39 km

Initial distance = 18 km

So:

Answer ii) 21 km

Answer:

4x = 180

Step-by-step explanation:

angle x = angle y so we can say both angles are 'x + x' or '2x'

angle z = twice angle y (or twice angle x because they're equal) so we can say angle z = 2x

2x + 2x = 180

Answer:

It is a vector space

Step-by-step explanation:

The  set of all continuous functions C[0,1 ] defined on the interval [0,1] is a  vector space

as proven below ( attached below is a required proof that it is a vector space )

The set checks out for additivity, scalar multiplication and associativity hence it is a vector space

(a) To find the t-value that corresponds to 2022, we need to subtract 2015 from 2022:

t = 2022 - 2015 = 7

Therefore, the t-value that corresponds to 2022 is 7.

(b) To find the predicted U.S. per capita real disposable income in 2022, we substitute t = 7 into the equation:

I = 707.6t + 39,090

I = 707.6(7) + 39,090

I = 4,954.2 + 39,090

I ≈ $43,044

So the predicted U.S. per capita real disposable income in 2022 is $43,044 (to the nearest $10).

(c) To find the year in which the U.S. per capita real disposable income is expected to exceed $50,000, we can set I equal to 50,000 and solve for t:

50,000 = 707.6t + 39,090

10,910 = 707.6t

t ≈ 15.4

Therefore, the U.S. per capita real disposable income is expected to exceed $50,000 in the year 2015 + 15.4 = 2030 (rounded to the nearest year).

Answer:

(a)  t = 7

(b)  $44,040

(c)  2030

Step-by-step explanation:

Given equation:

\(I = 707.6t + 39090\)

where:

As t is the number of years after 2015, the t-value that corresponds to the year 2022 is:

To calculate the predicted U.S. per capita real disposable income (to the nearest $10) in 2022, substitute t = 7 into the given formula and round to the nearest $10:

\(\begin{aligned}t=7 \implies I &= 707.6(7) + 39090\\&= 4953.2 + 39090\\&= 44043.2\\&\approx44040\end{aligned}\)

Therefore, the predicted U.S. per capita real disposable income in 2022 is $44,040 (nearest $10).

To find the year the U.S. per capita real disposable income is expected to exceed $50,000, first substitute I = 50000 into the given formula and solve for t:

\(\begin{aligned} \implies 50000&= 707.6t + 39090\\707.6t&=10910\\t&=15.4183154...\end{aligned}\)

As t is the number of years after 2015, add the found value of t to 2015:

\(\begin{aligned}\implies 2015+t&=2015+15.4183154...\\&=2030.4183154...\end{aligned}\)

Therefore, the year in which the U.S. per capita real disposable income is expected to exceed $50,000 is part way through 2030.

4/15 !! hope it helps loll

Answer:

negative solution : -3

positive solution : | 3 |

(| x | means absolute value)

I hope this helped :)

Answer:

you have $180, total there is $1280

Step-by-step explanation:

The required amount we have is given as $410, as of the given condition.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Let the amount we and Dotun has to be x and y,
According to the question,
x  = y - 460- - -- - -(1)

x + y = 1280 - - - (2)
From equation 1
y - 460 + y = 1280
2y = 1280 + 460
y = 1740/2
y = $870

Now,
x = 870 - 460
x = $410

Thus, the required amount we have is given as $410, as of the given condition.

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The data in the triangle is not sufficient to find the asked values in the question.

The relationship in between sides and angles for non-right (oblique) triangles is known as the Law of Sines. It simply asserts that for all sides and angles of a given triangle, the ratio of the length of a side to the sine angle opposite this side is the same.

You must know between two angles but one side of the triangle (AAS or ASA) either two sides and an angle opposing one of them in order to employ the Law of Sines (SSA).

g/sinG = h/sinH = f/sinF

Where G, H and F are the angles and g, h and f are the angles' opposing sides.

Put the values:

g/sin136 = 13/sinH = 7/sinF

The three pairs of expression are-

HF/sin136 = 13/sinH ;   13/sinH = 7/sinF and g/sin136 = 7/sinF.

HF = 13*sin136/sinH

HF = 10.97/SinH

From the found 3 expression, each has two missing value.

Thus, the angles F and H is not possible to find.

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Work Shown:

5r + p

5*4 + 3

20 + 3

23

The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Answer:

a - 2

Step-by-step explanation:

All you have to do is divide 3a by 3 and divide -6 by 3

∴ The answer is a - 2

Hope this helps!

Answer:

Step-by-step explanation:

4(v+1)+v=5(v-1)+9

distribute

4v+4+v

which is

5v+4=5v-5+9

5v+4=5v+4

No solution is the answer

Answer:

\(-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}\)

Step-by-step explanation:

Given

\(-\frac{3}{x} , \frac{7y}{x}\)

Required

Add

The statement can be interpreted as:

\(-\frac{3}{x} + \frac{7y}{x}\)

Take LCM

\(-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}\)

The product of the binomials (y + 3)(y - 6) gives y² - 3y - 18

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

The product of the binomial is:

(y + 3)(y - 6)

= y(y) + y(-6) + 3(y) + 3(-6)

= y² - 3y - 18

The product of the binomials (y + 3)(y - 6) gives y² - 3y - 18

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Answer:

152.3

Step-by-step explanation:

area of a parralellogram is L×B

since a degree is given

it will make it

sin 65×14×12

sin 65=0.9063

so 0.9063×14×12

=152.3

Answer:

$31.58

Step-by-step explanation:

31.58 + 6.79 = 38.37

38.37 + 31.58 = 69.95

Answer:

Step-by-step explanation:

Length = x

3 times of length = 3*x = 3x

5 metre more than 3x = 3x + 5

Breadth  = 3x + 5

Answer:

Quotient is 11

Step-by-step explanation:

In this question, we need to find the quotient of 55 divided by 5. In this case, 5 is divisor, 55 dividend. Let Q be the quotient of this.

On dividing 55 by 5, the quotient of this sum is 11. In this case, remainder is 0.

We know that,

11 × 1 = 11

And 11 × 5 = 55

So, the quotient in this case is 11. Hence, this is the required solution.

Have A Wonderful Day !!

34% in decimal is equal to 0.34, which in fraction is equivalent to 34/100.

Therefore we can solve this as

x/83 = 34/100; 28.22.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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