A scale drawing of a rectangle is made by using a scale factor of StartFraction 5 over 8 EndFraction. The original and the scale drawing are shown below. A rectangle has a length of 18 inches and width of 12 inches. [Not drawn to scale] Which method can be used to find the dimensions of the original rectangle? 18 minus StartFraction 5 over 8 EndFraction = 17 and StartFraction 3 over 8 EndFraction inches and 12 minus StartFraction 5 over 8 EndFraction = 11 and StartFraction 3 over 8 EndFraction inches StartFraction 5 over 8 EndFraction divided by 18 = StartFraction 5 over 144 EndFraction inches and StartFraction 5 over 8 EndFraction divided by 12 = StartFraction 5 over 96 EndFraction inches 18 times StartFraction 5 over 8 EndFraction = 11 and one-fourth inches and 12 times StartFraction 5 over 8 EndFraction = 7 and one-half inches 18 divided by StartFraction 5 over 8 EndFraction = 28 and four-fifths inches and 12 divided by StartFraction 5 over 8 EndFraction = 19 and one-fifth inches

Answer:

They tend to be way more efficient.

Step-by-step explanation:

They are generally powerful and can carry things for long distances, Plus they don't cost a lot to repair.

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Answer:

yes

Step-by-step explanation:

hope it helped:)

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Step-by-step explanation:

use Pythagoras theorem,

\( {a}^{2} + {b}^{2} = {c}^{2} \)

\({6}^{2} + {8}^{2} = {c}^{2} \\ 36 + 64 = {c}^{2} \\ c = \sqrt{100 } \\ c = 10\)

Answer:

The length of missing side of triangle is 10 m.

Step-by-step explanation:

Here, we have given that the two sides of triangle are 6 m and 8 m.

Finding the third side of triangle by pythagorean theorem formula :

\({\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}\)

Substituting all the given values in the formula to find the third side of triangle :

\(\begin{gathered} \qquad{\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = {(6)}^{2} + {(8)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (6 \times 6)+ (8 \times 8)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (36)+ (64)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = 36 + 64}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} =100}}}\\\\\qquad{\longrightarrow{\sf{c = \sqrt{100}}}}\\\\\qquad{\longrightarrow{\sf{c = 10 \: m}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{c = 10 \: m}}}}}\end{gathered}\)

Hence, the length of missing side of triangle is 10 m.

\(\rule{300}{2.5}\)

Answer:

4

Step-by-step explanation:

16 = 2 * 2 * 2 * 2

24 = 2 * 2 * 2 * 3

32 = 2 * 2 * 2 * 2 * 2

HCF = 2 * 2 *  2 = 8

Possible common factors are  1 , 2 , 4 , 8

Ratio in which flowers to be used  16:24 : 32

= 2 : 3 : 4

4 Possible arrangement

Orange      White     Baloon    

2                 3             4

4                 6             8

8                 12           16

16                24           32

9514 1404 393

Answer:

Step-by-step explanation:

The area of the rectangle is given by ...

  A = LW

  A = (20 m)(14 m) = 280 m²

__

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)π(7 m)² = 24.5π m² ≈ 77 m²

__

Then the total area is ...

  280 m² +77 m² = 357 m²

_____

The width of the rectangle is the diameter of the circle, which is twice its radius. The area of a semicircle is 1/2 the area of a circle.

Answer:

$27200

Step-by-step explanation:

32,000/100=320

320x5=1600

$1600x3=4800

$32000-$4800=$27200

Answer:

Down Here

Step-by-step explanation:

Step 2:

Statement: m∠C ≅ m∠B

Reason: sides opposite to congruent angles are congruent

Step 3:

Statement: BE = CE

Reason: Def. of a midpoint

Step 4:

Statement: AE = AE

Reason: Reflexive Property

Step 5:

Statement: ΔACE ≅ ΔABE

Reason: SSS

Step 6:

Statement: m∠AEC ≅m∠AEB

Reason: CPCTC

Step 7:

Statement: DE = DE

Reason: Reflexive Property, Parts whole postulate

Step 8:

Statement: ΔCDE ≅ ΔBED

Reason: SAS

Step 9:

Statement: CD = DB

Reason: CPCTC

-Chetan K

Answer:

The answer is 32 divided by 4

Step-by-step explanation:

Because in each box there is 4. There are 8 ovals all together. So 8×4, you get 32 and divide it by the number of squares in an oval which is 4

Answer:

the answer is 32 divided by 4=8

Step-by-step explanation:

because when you look at the ovals there's eight ovals and in side there's four squares..

HOPE THIS HELPS!!!!!

Answer:

xfgn  

Step-by-step explanation:

Answer:

please will give the brainest

Step-by-step explanation:

make me brainliest because you will get 3 points and I dont know and because I am in 3 standard

Answer:

Answer to your question ; f(t) = 55 = 4t

Answer:

2.5 lb

Step-by-step explanation:

The vertex form of a quadratic function is given by: g(x) = \(a(x - h)^2 + k\). The equation of g(x) in vertex form is: g(x) = \((x - 4)^2 - 5\)

In algebra, the vertex form is a way to write the equation of a quadratic function, also known as a parabola.

The vertex form of a quadratic function is given by:

\(g(x) = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola, and "a" determines whether the parabola opens upwards or downwards.

From the graph, we can see that the vertex is at (4, -5), which gives us h = 4 and k = -5. Also, since the parabola opens upwards, "a" must be positive.

To find "a," we can use one of the other points on the graph. Let's use the point (2, -1):

\(-1 = a(2 - 4)^2 - 5\)

-1 = 4a - 5

4a = 4

a = 1

Therefore, the equation of g(x) in vertex form is:

\(g(x) = (x - 4)^2 - 5\)

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Answer:

Step-by-step explanation:

Our function is a quadratic function :

Answer:

6(x + 4)

opening brackets

=6x+24 is the answer

Step-by-step explanation:

Answer:

D) There were 176,400 samples of the orchestra music taken every second

Step-by-step explanation:

Just did the test

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer:

\(\huge\boxed{\sf r = 5}\)

Step-by-step explanation:

Given that,

7q + 35 = 7q + 7r

7q - 7q + 35 = 7q - 7q + 7r

35 = 7r

35/7 = r

5 = r

OR

\(\rule[225]{225}{2}\)

Answer:

r = 5

Step-by-step explanation:

Given statement,

→ 7(q + 5) is equivalent to (q + r)7.

Forming the equation,

→ 7(q + 5) = 7(q + r)

Now we have to,

→ Find the required value of r.

Then the value of r will be,

→ 7(q + 5) = 7(q + r)

Applying Distributive property:

→ 7(q) + 7(5) = 7(q) + 7(r)

→ 7q + 35 = 7q + 7r

Cancelling 7q from both sides:

→ 35 = 7r

→ 7r = 35

Dividing the RHS with number 7:

→ r = 35/7

→ [ r = 5 ]

Therefore, the value of r is 5.

Answer:

Domain: {-5, -4, -3, 1, 2, 5}

Step-by-step explanation:

Recall:

Domain = inputs (x-values)

Range = outputs (y-values)

All set of x-values (input) of the points that are plotted on the graph make up the domain of the relation.

Thus, they are:

Domain: {-5, -4, -3, 1, 2, 5}

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Answer:

6. perfect squares 5 and 6

7. between integers 5 and 6

Step-by-step explanation:

\(\sqrt[3]{141} = 35.62\\\)

There is approximately a 36.11% probability of rolling an odd sum or doubles when a pair of dice is rolled.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 3 odd numbers among the possible outcomes of each die (1, 3, 5), so there are 3 x 3 = 9 ways to obtain an odd sum:

(1,2), (1,4), (1,6), .... (6,1), (6,3), (6,5)

There are 6 possible outcomes for rolling the same number on both dice, so there are 6 ways to obtain doubles:

(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)

We counted (1,1), (3,3), and (5,5) twice in the above two categories, so we need to subtract 2 from the total count.

Therefore, there are 9 + 6 - 2 = 13 ways to obtain an odd sum or doubles.

Therefore, the probability of rolling an odd sum or doubles is:

P(odd sum or doubles) = 13/36

Thus, there is about a 36.11% probability of rolling an odd sum or doubles when a pair of dice is rolled.

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From the graph, the coordinates of the points of the equation y=(x-1)(x-3): (1,0) (4,0), P(0,3) and turning point (2.5,2)

You should know that these are possible reading from the graph

The scale of the graph is [laced at 1 com to 1 unit on both axes

From the graph, the coordinates of A are (1, 0) This is where x=1 and y=0

The coordinates of B = (4, 0) This is where x=4 and y=0

b)  The coordinates of point P are (0,3) This is where x=0 and y= 3

c) The coordinates of the turning point are (2.5, 2) This is the minimum value of the curve

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The equation that produces the circle in the given graph is; x² + y² = 16

The general form of equation of a circle is;

(x - h)² + (y - k)² = r²

where;

h, k are coordinates of the circle center

r is the radius

From the graph, we can see that the coordinates of the center is; (0, 0).

Also, radius is;

r = √(4² - 0²)

r = √16

Thus, our equation of the circle in the graph is;

(x - 0)² + (y - 0)² = (√16)²

⇒ x² + y² = 16

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Answer:

x^2/20+y^2/20=1 is the correct answer.

Step-by-step explanation: