The width of a rectangular playground is half of its length. The total area of the
playground is 200m”, then find its length and width.

Answer/Step-by-step explanation:

For the 4th...

x=130 (since they are congruent)

y= 130 (Still congruent.)

(I am not really sure what a therom is)

5th one...

x= 65 (Congruent)

y= 115

And the 6th one

x= 100

y= 80

Hope this helps :)

ANSWER

EXPLANATION

We have to find the equation of the line perpendicular to the given line:

and passes through the point (-8, 6)

A line perpendicular to another line has a slope that is the negative inverse of the line.

The slope of the given line is 3/4, so the slope of the line we are looking for is -4/3

Now, we use the point slope method to find the equation:

y - y1 = m(x - x1)

where m = slope

(x1, y1) = point the line passes through

So, we have:

That is the equation of the line.

Answer:

Design 1: $449.45

Design 2: $522.60

Design 3: $318.25

Design 3 as it's the cheapest

Step-by-step explanation:

Design 1

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

Given the slanted side = 3.5

Height = √(3.5² - 1²) = (3√5)/2

⇒ area of design 1 = 1/2(5 + 3) × (3√5)/2 = 6√5 = 13.42 m²

⇒ cost = 13.42 x 33.5 = $449.45

Design 2

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Area of a 6-sided regular polygon = 4 triangles + rectangle

⇒ area of design 2 = 4(1/2 × 1.4 × 2.0) + (2.5 × 4) = 15.6 m²

⇒ cost = 15.6 x 33.5 = $522.60

Design 3

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

⇒ area of design 3 = 1/2(3 + 2) × 2 + 1/2(3 + 1.5) × 2 = 9.5 m²

⇒ cost = 9.5 x 33.5 = $318.25

Answer: 4.3

Step-by-step explanation:

The expression \left(\(4g^{3}h^{4}\right)^{3}\)) can be simplified to \(64g^{9}h^{12}.\)

To simplify this expression, we raise each term inside the parentheses to the power of 3. For 4\(g^{3}\), we have \(4^{3}\) = 64 and \((g^{3})^{3}\)= \(g^{9}\), so we get \(64g^{9}\). Similarly, for \(h^{4}\), we have \((h^{4})^{3} = h^{12}\).

Combining these simplified terms, we have \(64g^{9}h^{12}\) as the final simplified form of the expression \left\((4g^{3}h^{4}\)\right)^{3}.

In summary, raising the expression\(4g^{3}h^{4}\) to the power of 3 simplifies to \(64g^{9}h^{12}\).

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Answer:

y = x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1 , then

y = x + c ← is the partial equation

to find c substitute (5, 3 ), that is x = 5, y = 3 into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = x - 2 ← equation of line

Solution

The graph

Answer:

-9.

Step-by-step explanation:

\(a^2 + b\\= -2^2 + 5\\= -4 + 5\\= -9.\)

hope this helps.

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

Answer:

It is linear because if all x values are different, it makes it linear.

Answer:

-3

Step-by-step explanation:

ΔX = 0 – -1 = 1

ΔY = -3 – 0 = -3,

y = -3x – 3, so the slope is -3

Sorry if you don't understand, but pls brainliest for level up

Answer:

-2

Step-by-step explanation:

The slope formula is y_2 - y_1 over x_2 - x_1.

We plug in the equation and it's -2 - 0 over 0 +1.

We get by simplifying the expression -2/1.

That is -2 because we ever something is over 1 then you remove the denominator and it becomes a whole number.

Answer:

its going 300 miles per hour

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

√7 ≈ 2.66

14/5 = 2.8

2.66 < 2.8

√7 < 14/5

Best of Luck!

Answer:

62 degrees

Step-by-step explanation:

HJ is a line which means its 180 degrees if HIL is 118 degrees then LIJ is 62 degrees and due to the lines being parallel then MLN is also 62 degrees

So, we know that ∠HIL = 118, and we also know that a line is 180 degrees. This means that ∠HIL +∠JIL = 180. We can use simple arithmetic and substitution to find that 180-118= 62, so ∠JIL = 62.

We have another line, Line N, so we know that the line is equal to 180 as well! Because ∠JIL and ∠ILM are both on this line, ∠JIL +∠ILM = 180. ∠JIL = 62, so 180 - 62 = 118.

Lastly, Line N is still equal to 180, so ∠ILM + ∠MLN = 180. In this case, we have 180-118=62, so ∠MLN = 62.

Or, using theorems, there is an easier way to do this.

The corresponding angles theorem tells us that "If a transversal intersects two parallel lines, the corresponding angles are congruent." So, we can see that both ∠MLN and ∠JIL are corresponding so they are congruent. First, however, we need to find ∠JIL, and if we look at our work from above, we see that ∠JIL = 62. Since ∠JIL and ∠MLN are congruent, or the same, ∠MLN is also 62.

:)

180 - 64= 116

116 divided by 4 = 29

x=29

Have a good day:>

Answer:

x = 29

Step-by-step explanation:

Supplementary angles add up to 180 degrees:

4x+64 = 180

Subtract 64 from both sides:

4x+64-64 = 180-64

4x = 116

Divide both sides by 4:

4x/4 = 116/4

x = 29

The least possible average (arithmetic mean) of the 21 integers is 6.

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Answer:

80

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is base x width x height- 10x4x2

Step-by-step explanation:

basic line function

y = 6x + 3

a translation (= a shift) upward by 5 simply means that all y values are incremented by 5 compared to the original results.

so, the function is then

y = 6x + 3 + 5 = 6x + 8

now we reflect this across the y-axis (mirror it left/right).

the simply means the slope flips its sign (+ to -, or - to +).

the slope is the factor of x (6).

but everything else stays the same (the same y-intercept, as the y-axis is the "mirror").

so, we get a final result

y = -6x + 8

and now the other way around :

first we reflect axis the y-axis leading to (same arguments as with the previous reflection)

y = -6x + 3

and then we translate this upward by 5 units leading to

y = -6x + 3 + 5 = -6x + 8

so, both final results are the same.

Answer:

Step-by-step explanation:

false true true false

Answer:

false true true and false

Step-by-step explanation:

Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

Answer:

x = -3 is the answer. Writing this cause brainly requires a 20 character answer.

As a result, 8.72% compound interest is required to double an investment in 8 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of 10 p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

For option A, the simple interest formula can be used:

Simple Interest = Principal x Rate x Time

After 7 years, Sipho will have:

Simple Interest = 7500 x 0.2025 x 7 = R10,147.50

So the total amount he will have after 7 years is:

Total Amount = Principal + Simple Interest = 7500 + 10147.50 = R17,647.50

For option B, the compound interest formula can be used:

\(A = P(1 + r/n)^{(nt)\)

\(A = 7500(1 + 0.15/1)^7 = R18,856.89\)

Where A is the total amount, P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the time in years.

After 7 years, Sipho will have:

A = 7500(1 + 0.15/1)⁷ = R18,856.89

Therefore, option B is financially more rewarding.

To find the rate of compound interest that will double an investment in 8 years, we can use the formula:

\(A = P(1 + r/n)^{(nt)\)

where A is the final amount (double the initial investment), P is the principal, r is the annual interest rate, n is the number of times compounded per year, and t is the time in years.

We want to find r, so we can rearrange the formula to:

\(r = n[(A/P)^{(1/nt)} - 1]\)

Let's plug in the values we know:

P = 1 (the initial investment)

A = 2P = 2

t = 8

n = 1 (compounded annually)

\(r = 1[(2/1)^{(1/(1*8)}) - 1] = 0.0872 or 8.72%\)

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Step-by-step explanation:

4-digit number abcd

a >= 2

a×b = d

so, 2 <= b <= 4 to allow a single digit result of a×b, and if b would be 1 or 0, the result would be either a copy of a or of b violating the rule that no 2 digits are the same.

that means a >= 3, because with a = 2 and b <= 4 the number can't be larger than 2500.

and that again means 2 <= b <= 3 and 3 <= a <= 4 to allow a single digit result of a×b.

the sum of "my digit" ? I guess you mean the sum of all digits is 16.

a + b + c + d = 16

so, my first guess :

a = 3

b = 2

therefore

d = 3×2 = 6

that means we have already 11 as sum of the digits, that leaves 5 for c.

so, the number would be

3256

the only alternative would start with a = 4 and then b = 2.

but that would make d = a×b = 8. abd 8 + 4 + 2 = 14, and that leaves for c only 2 to sum up to 16, and that would duplicate b.

so, 3256 is the only solution.

Answer:

hi you can solve this sum by 4×side formula

Step-by-step explanation:

plz solve and check you equation

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

OS=D/T

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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Answer:

3,0

Step-by-step explanation: