The ratio of the corresponding sides of two similar rectangles is 4:9 (table A: table B).

Table A has a perimeter of 27 feet.

What is the perimeter of table B?

The ratio of the corresponding side lengths of two similar rectangular tables is 4:9 (table A: table B).

Table A has a perimeter of 27 feet.

What is the perimeter of table B?

Answer:

A) 12 inches by 20 inches

Step-by-step explanation:

Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.

Therefore 3 inches x 4 = 12 inches

And 5 inches x 4 = 20

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

39

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x = 4}\)

Step-by-step explanation:

Given that:

\(y \propto x\)

Converting proportionality into equality

\(y = kx\) ----------------(1)

y = 18 when x = 2

Put it in Eq. (1)

\(\displaystyle 18 = k(2)\\\\Divide \ both \ sides \ by\ 2\\\\\frac{18}{2} = k\\\\9 = k\\\\ \boxed{k = 9}\)

Now,

x = ? when y = 36

Put it in Eq. (1)

\(36 = (9) x\\\\Divide \ both \ sides \ by \ 9\\\\36 / 9 = x\\\\4 =x \\\\\boxed{x = 4}\\\\\rule[225]{225}{2}\)

Answer:

The answer to this inequality is 70<x<500

Answer:

t ≥ 570

Step-by-step explanation:

A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or,  h = (3 × 320)/(8)²

or, h = 15 cm

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Answer:

  10°, 35°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°. This can be used with the angle ratio to find the unknown angles.

The sum of the two unknown angles, x and y, can be found from the total angle measure in a quadrilateral:

  x + y + 170 + 145 = 360

  x + y = 45 . . . . . . . . . . . . . subtract 315 from both sides

The ratio of the two angles is ...

  x/y = 2/7

  7x = 2y . . . . . . cross multiply

Multiplying the first equation by 2 and substituting for 2y gives ...

  2(x +y) = 2(45)

  2x +7x = 90

  x = 10 . . . . . . . . . divide by 9

  y = 45 -10 = 35 . . . . find y

The measures of the other two angles are 10° and 35°.

Answer:

Option A; \((\frac{5}{8} , -\frac{1}{4} )\)

Hope this helps!

Answer:

i wanna say A but im not for sure

Step-by-step explanation:

The description of the location of point P which is shown on the given number line is 1.666  or -5 / 3.

First, let us understand the least count used for scaling;

The least count of an instrument is the smallest measurement that can be taken accurately with it. For example, if a scale has 10 divisions between the marks 1 and 2, then its least count is 1/10 = 0.1 or it can measure up to the value 0.1 accurately.

For the given number line the division between -2 and -1 is 3.

So, the least count or each division will represent -1 / 3.

From the scratch (or 0), P is the fifth division, so;

P = (- 1/3) * 5

P = - 5/3

or

P = - 1.6666...

Thus, the description of the location of point P which is shown on the given number line is 1.666  or -5 / 3.

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The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

From the question, we have the following parameters that can be used in our computation:

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Answer:

Step-by-step explanation:

Find the difference between 8.72 and 0.872. This just means to subtract 0.872 from 8.72. \(8.72-0.872=7.848\)

Answer: To find the sum of 6 5/8 and 4 3/4, you need to express the two fractions with a common denominator. One way to do this is to express both fractions with a denominator of 8. To express 6 5/8 with a denominator of 8, you can rewrite it as 6 + 5/8, and to express 4 3/4 with a denominator of 8, you can rewrite it as 4 + 3/4. When you add these two fractions, you get:

6 + 5/8 + 4 + 3/4

= 10 + 8/8

= 10 + 1

= 11 1/8

So the sum of 6 5/8 and 4 3/4 is 11 1/8. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).

Answer:

\(\frac{91}{8}\)

Step-by-step explanation:

so your question is given in mixed number

\(6\frac{5}{8} + 4\frac{3}{4}\)

now simply multiply 6 with denominator and then add 5 to it . In denominator keep 8 as it is.Follow the same process for another term as well.

= \(\frac{6*8+5}{8}\) +\(\frac{4*4+3}{4}\)

=\(\frac{53}{8}\) + \(\frac{19}{4}\)

now take LCM

=\(\frac{53*1 +19*2}{8}\)

=\(\frac{53+38}{8}\)

=\(\frac{91}{8}\)

After this if it any cancelation can be done then do cancel in denominator and numerator but here we cannot cancel so your final answer is \(\frac{91}{8}\)

Answer:

Yes.

Step-by-step explanation:

\(6^{3}\) × \(7^{3}\) = \(42^{3}\)

74,088 = 74,088

The table of w = t + 11.2 is:

t     w

0    11.2

1     12.2

2    13.2

3    14.2

4    15.2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

w = t + 11.2

The table can be calculated as,

When t = 1, w = 1 + 11.2 = 12.2

When t = 2, w = 2 + 11.2 = 13.2

When t = 3, w = 3 + 11.2 = 14.2

When t = 4, w = 15.2

So on..

Thus,

t     w

0    11.2

1     12.2

2    13.2

3    14.2

4    15.2

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Answer:

53 in.

Step-by-step explanation:

to find the area u do 8 times 6 and 1/2 2(5)

triangle = 1/2bh

rectangle = bh

hope this helps

Answer:

you would need 2 1/2 cups of flour

Answer:

2.5 cups of flour is needed for 5 eggs.

Step-by-step explanation:

The crepe recipe calls for 2 eggs, 1 cup of flour, and 1 cup of milk. This means that the ratio of eggs to cup of flour to cup of milk required is 2:1:1

Therefore, if you use 5 eggs, the proportions would increase by 2.5. Multiplying by 2.5, it becomes

5 : 2.5 : 2.5

Therefore, you would need 2.5 cups of flour for 5 eggs.

Answer:

C. 96°

Step-by-step explanation:

m<AME = 48° is an inscribed angle

Arc AT = intercepts arc

Based on the inscribed angles theorem, we have:

m<AME = ½(arc AT)

48° = ½(arc AT)

Multiply both sides by 2

48° × 2 = ½(arc AT) × 2

96° = arc AT

Arc AT = 96°

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

Inequality is the non equal comparison of two or more numbers and variables.

Let x represent the number of wallpapers and y represent the number of cans.

He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:

x ≥ 30   (1);

y ≥ 20    (2)

Also:

32x + 28y ≤ 2240    (3)

Plotting the 3 equations using geogebra online graphing tool, the possible solution is:

(30, 20), (30, 46)

The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.

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Answer:

Grater than ( < ), and less than ( > ).

Answer:

He computes the mean as $1,022.

Step-by-step explanation:

The nonprofit company charges $100 each ticket for the opportunity to win a $50,000 vintage Mustang. With four prizes and 1500 tickets sold, he expects to lose $54.53 on each one.

The chance of winning is multiplied by the bet multiplier to determine the mathematical anticipated value. Typically, expected value is estimated for a bet of one unit. To determine the predicted profit, multiply the win chance by the stake amount.

Chances of getting first prize = 1/1500

Chances of getting second prize = 1/1500

Chances of getting third prize = 1/1500

Chances of getting Fourth prize = 1/1500

Cost of one ticket = $100

Expected winning = -100 +1/1500 (56000 + 6600 + 4300 + 1300)

= -100 + 68200/1500

= - 54.53 dollars

There is an expected loss of $54.53.

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The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:

1-2 ft apart because the radius angle would be 2ft since its not a straight forward lining its horizontal.

Step-by-step explanation:

a) The simplification of 1250 - (-300) + (-120) results in 1,430.

b) The simplification of 81 - 19 + 218 - 412 results in -132.

c) The simplification of -4235 + 176 - (-3285) results in -774.

d) -20 is less than 20 by 40.

e) 61 must be added to -16 to give 45.

f) -55 must be added to 25 to give -30.

g) The difference between -12 and 12 is -24.

h) Calculating 114 x 15 (105) (15)​ results in -2,693,250 using multiplication.

The mathematical operations include addition, subtraction, division, and multiplication.

To simplify mathematical expressions, we reduce the complexities by adding like terms, and operands, and using approximation.

Simplification means reducing the expression in a simpler form using various mathematical operations.

a) 1250 - (-300) + (-120)

= 1250 + 300 - 120

= 1,430

b) 81 - 19 + 218 - 412

= 81 + 218 - (19 + 412)

= 299 - 431

= -132

c) -4235 + 176 - (-3285)

= -4235 + 176 + 3285

= -4235 + 3461

= -774

d) -20 is less than 20 by 40 [20 - (-20)].

e) -16 + x = 45

x = 45 + 16

x = 61

f) 25 + x = -30

x = -55

g) -12 - 12 = -24

h) -114 x 15 (105) (15)​

= -114 x 23625

= -2,693,250

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The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

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Answer:

one

Step-by-step explanation: