The hypotenuse of a right triangle measures 2 square root 15 centimeters and its shorter leg measures 2 square root 6
centimeters.

What is the measure of the larger acute angle of the triangle? Round your answer to the nearest
tenth of a degree.

Answer:

step 4

Step-by-step explanation:

Answer:

18.7%

Step-by-step explanation:

P(B) = 114/ (61+114+220+175+39) = 0.1872 = 18.7%

Answer:

B

Step-by-step explanation:

There is two wholes and one half.

Work Shown:

IQR = Q3 - Q1

IQR = 70 - 48

IQR = 22

Note: Q1 and Q3 are the left and right edges of the box. The IQR is the width of the box.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of c using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 40 {}^{2} = {24}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b² = \sqrt{40² - 24²} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b= \sqrt{1600-576} [/tex]

[tex] {\qquad \sf  \dashrightarrow \: b= \sqrt{1024}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b = 32 \: units[/tex]

The length of "b"

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] {b}^{2} = {40}^{2} - {24}^{2} [/tex]

[tex]b = 1024[/tex]

[tex]b = \sqrt{1024} [/tex]

[tex]b = 32[/tex]

Hence, the length of "b" is 32.

Answer:

2(12r + 24)
12(r + 2)

Answer:

The answer is stated above:

x=15

y=5

Answer:

$208.30

Step-by-step explanation:

Let the original price be $ x

Discount % = 12%

Discount = $ 25

 12% of x = 25

  [tex]\sf \dfrac{12}{100}*x = 25[/tex]

           [tex]\sf x = 25 * \dfrac{100}{12}=\dfrac{25*25}{3}\\[/tex]

              = $ 208.30

B. is the correct graph.

See the attachment.

Answer:

Step-by-step explanation:

Use desmos to graph

B is The correct answer for this question

Answer:

424

Step-by-step explanation:

SF: 2{(8 x 4) + (4 x 15) + (8 x 15)}

therefore: 2 [32 + 60 + 120]

therefore: 64 + 120 + 240

therefore: 360 + 64

therefore: 424

Answer:

424

Step-by-step explanation:

To find the surface area, you need to find the area of all the faces of the shape. Because this is a rectangle, you only need to find the 3 different faces and then multiply them by 2. For the largest face, the dimensions are 8*15, which is 120. Multiply that by 2 and you get 240. For the long, slim face, the dimensions are 4*15, which is 60. Multiply that by 2 and you get 120. Finally, the smallest face's dimensions is 8*4, which is 32. Double that and you get 64. Now all you need to do is add all the products up. 240+120+64 is 424, which is your answer.

Hope this helped!

Answer:

4h²– 19h – 30

Step-by-step explanation:

(4h+5)(h-6)

=4h²–24h+5h–30

=4h²–19h–30

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:how\:to\: solve\: }}}[/tex]

➣ Let's start !

[tex] \qquad \sf{➛ \: (4h + 5) \times (h - 6)} \\ [/tex]

★ Opening brackets multiplying nd solving

[tex]\qquad \sf{➛( \: 4h \times h) +( 4h \times - 6) + (5 \times h) + (5 \times - 6)}\qquad \\ \sf{➛\: {4h}^{2} - 24h + 5h - 30 }[/tex]

★ arranging like terms and solving gives

[tex]\qquad \sf{➛ \: {4h}^{2} - 19h - 30\bold\green{✓}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Answer:

  45/7

Step-by-step explanation:

The ratio of volumes is the cube of the scale factor for similar figures.

__

  sf³ = (729 m³)/(2.744 m³) = 9³/1.4³

  sf = ∛(9³/1.4³) = 9/1.4 = 45/7

The scale factor between the larger and smaller cubes is 45/7.

The indefinite integral means the integration without limit is known as indefinite integral. The indefinite integral of the function (4 + x⁵) is given below.

[tex]4x + \dfrac{x^6}{6} + c[/tex]

It is the reverse of differentiation.

Then the general indefinite integral will be

[tex]\rm \rightarrow \int (4+ x^5) dx \\\\\rightarrow 4x + \dfrac{x^6}{6} + c[/tex]

Where c is the constant of integration.

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Answer:

6.28

Step-by-step explanation:

D = R x 2

D = 2

2 x 3.14 =

6.28

Answer:

2.66unit

Step-by-step explanation:

volume=176

l×b

6×11=66

Therefore,176÷66=2.66unit

Answer:

37

Step-by-step explanation:

You have to divide 74 by 2x to get your equation.

Answer:

37

Step-by-step explanation:

1-2x=74

2-Divide by two on both sides

3-2x÷2= x

4-74÷2=37

Answer:

[tex] \frac{17}{k} [/tex]

30/40

Step-by-step explanation:

like my guy it's thaymt ez

The profit that Jim got in percentage will be 46.67%.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Jim buys a wardrobe for £30. He sells it for £44. The profit is calculated as,

Profit = £44 - £30

Profit = £14

The profit in percentage is calculated as,

P = (£14 / £30) x 100

P = 0.4667 x 100

P = 46.67%

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answer : 3.22

if the sum of 2 numbers is 12 and one of the numbers is 8.78, then the subtraction of the number from the sum will give you the other number.

Biotic are living things while on the other hand abiotic are non living things.

Biotic can be defined as living things or living organism while abiotic on the other hand can be defined as non living things or non living organism.

Examples of biotic are:

Examples of abiotic are:

Therefore Biotic are living things while on the other hand abiotic are non living things.

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Answer: 12

Step-by-step explanation:

The set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball}.

Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.

The set A is the set of sports balls that are spherical

Set A={basketball, football, tennis ball, soccer ball, volleyball}

So, the complement of Set A is {baseball}

Because, a baseball infield is in the shape of a square, with each base at a vertex.

Hence, the set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

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In systematic sampling, individuals are selected at regular intervals from the sampling frame.

Stratified sampling- In this method, the population is first divided into subgroups (or strata) who all share a similar characteristic

Clustered sampling.- a clustered sample, subgroups of the population are used as the sampling unit, rather than individuals. The population is divided into subgroups, known as clusters, which are randomly selected to be included in the study

Simple random sampling. -In this case each individual is chosen entirely by chance and each member of the population has an equal chance, or probability, of being selected.

Quota sampling--This method of sampling is often used by market researchers. Interviewers are given a quota of subjects of a specified type to attempt to recruit.

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Answer:

7:9

Step-by-step explanation:

For very 9 gallons of paint, it needs 7 gallons of yellow.

Answer: 48

Step-by-step explanation:

A = bh = (8)(6) = 48

The value of multiplying the factors of 3√2 * 2√5 * 8√18 is 288√5 in radical form

The expression is given as:

3√2 * 2√5 * 8√18

Multiply the integers

3√2 * 2√5 * 8√18 = 3 * 2 * 8 *√2 *√5 * √18

This gives

3√2 * 2√5 * 8√18 = 48 *√2 *√5 * √18

Multiply the radicands

3√2 * 2√5 * 8√18 = 48 *√5 * √36

Take the square root of 36

3√2 * 2√5 * 8√18 = 48 *√5 * 6

Multiply 48 by 6

3√2 * 2√5 * 8√18 = 288√5

Hence, the value of 3√2 * 2√5 * 8√18 is 288√5

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Answer:

a is the answer

Step-by-step explanation:

Segment PR is PQ-RE=24-14=10

The probability that a point will be in PR is 10/24 or 0.4166 which rounds up to 0.42

Answer:

A. -3/2

Step-by-step explanation:

» Concepts

The slope of a line describes the steepness, or the change in y over the change in x of a line. The formula to find the slope, given two points, is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where we put in the x- and y-coordinates of the two points.

» Application

In this case, we're given two points: (-2, 5) and (4, -4). We have to find the slope of the line containing them, so we must use our aforementioned formula.

» Solution

Therefore, the answer is A. -3/2.