Match each number on the left with the correct description of the number on the right.
Answer options on the right may be used more than once.
This is an integer.
-15
-0.314314...
314
-0.3
This is a rational number,
but not an integer.
This is an irrational number.

The volume of the first and second solid shapes are 3014.4m³ and 360ft³ respectively.

The first shape comprises of a cone and a cylinder, and the volume is derived as follows:

volume of the cone = 1/3 × 3.14 × (8m)² × 5m

volume of the cone = 1004.8m³

volume of the cylinder = 3.14 × (8m)² × 0m

volume of the cylinder = 2009.6 m³

volume of the first solid shape = 1004.8m³ + 2009.6 m³

volume of the first solid shape = 3014.4m³

The second solid shape comprises of a trianglular prism and a cuboid

volume of the trianglular prism = base area × height

base area = 1/2 × 6ft × 4ft = 12ft²

volume of the trianglular prism = 12ft² × 6ft

volume of the trianglular prism = 72ft³

volume of the cuboid = 12ft × 6ft × 4ft

volume of the cuboid = 288ft³

volume of the second solid shape = 72ft³ + 288ft³

volume of the second solid shape = 360ft³

Therefore, the volume of the first and second solid shapes are 3014.4m³ and 360ft³ respectively.

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Answer:

x= -1/5y+9/5

Step-by-step explanation:

5x+y=9

Step 1

First you need to add -y to both sides, basically subtracting y

5x+y-y= 9-y

Step 2

Divide both sides by 5, or multiply by 1/5. You want to do this because to cancel out 5, so you multiply the reciprocal, or divide the constant.

1/5*5x=-y+9/5

Then, you will get the answer

Hope this helps, sorry if it is wrong, I am just 4th grade :(

But I am sure this is correct :)

Work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.

To calculate a pie chart, first, categorize the data and calculate the total.

Each slice of the pie chart represents a numerical value and has a size proportional to the value.

The sum of all the data is equal to 360°, with the total value always being 100%.

To find the percentage for each slice of the pie chart, divide the categories by the total and convert them into percentages.

Finally, calculate the degrees using the formula (Given Data/Total value of Data) × 360°.

For example, let's say we have data on sleep, work, family care, personal care, and leisure, with a total of 168 hours.

To find the percentage for each category, we can use the following calculations:

Therefore, work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.

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QUESTION 1

\(cos\ \theta = \frac{12}{13}\\\theta = cos^{-1}\frac{12}{13} = 22.62\textdegree = 0.3948\ (\text{radians})\)

QUESTION 2

\(\frac{3\pi}{2} < \theta < 2\pi\ \text{then find}\ sin(2\theta)\)

First, the fact that we have \(sin(2\theta)\) means we have to adjust our range

\(\frac{3\pi}{2} < \theta < 2\pi\ \ \text{becomes}\ \ 3\pi < 2\theta < 4\pi\\)

\(sin\ 2\theta = \frac{3\pi}{2}\\2\theta = sin^{-1} \frac{3\pi}{2}\\2\theta = \text{error}\)

There are no solutions to inverse sin of  \(\frac{3\pi}{2}\\\)

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Answer:

Z = 45 degrees

Step-by-step explanation:

the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest

Answer:

it will have no acceleration, and a constant velocity.  

Step-by-step explanation:

Answer:

\(51\frac{579}{1277}\)

Step-by-step explanation:

\(\frac{233(282)}{34+1243}\)

\(=\frac{65706}{1277}\)

\(=51\frac{579}{1277}\)

Answer: 3175.52941176

Step-by-step explanation:

It is a repeating decimal so i cant put the whole answer.

Answer:

-------------------

Use the formula for z-score

Substituting the given values, we get:

Solve it for mean μ:

Therefore, the mean of the normal distribution is 8.79.

Answer:

\(y=\frac{1}{2}x\)

Step-by-step explanation:

To find the inverse of a function, switch the x and y values and isolate y. After switching the x and y values of \(y=2x\), we get \(x=2y\).

Now divide by 2 to isolate y:

\(y=\frac{x}{2},\\\boxed{y=\frac{1}{2}x}\)

Answer:

y = x/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

y = 2x

Step 2: Solve

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Lines.

We know that perpendicular lines have a inverse negative slope, such that

m1*m2 = -1

hence, m1 = -1/m2

so the perpendicular line is,

==> y-(5) = 3/2(x-(-6))

==> y+5 = 3/2(x+6)

==> y+5 = 3/2*(x) +9

=> y = 3/2(x) +9-5

==> y = 3/2*(x) + 4

hence the correct option is D.)

Area of the given figure is 27.852 in².

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

In the given figure there is a square.

First let us find the area of square, which has length of side 3 in

Area of square=3²=9

Now there are two semicircles with diameter 3 in.

Radius of semicircle = 3/2=1.5 in

Area of semicircle=2πr

=2×3.142×1.5

=9.426

As there are two semicircles

2×9.426

18.852

Area of figure is 9+18.852

27.852 in²

Hence, area of the given figure is 27.852 in².

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Answer:

The survey can be filled out in 120 different ways.

Step-by-step explanation:

The possible options are:

One professor from a set of four.

One meal from a set of five.

One weekend activity from a set of six.

Calculate the number of different ways the survey can be filled out if students select one from each category.

The multiplication of the number of possible outcomes for each trial. So

4*5*6 = 20*6 = 120

The survey can be filled out in 120 different ways.

Answer:

\(x=\frac{\sqrt{14} }{2}\)

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures \(45^o\). Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

\((\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}\)

We use just the positive root, since we are looking for an actual length. then, the requested side is:

\(x=\frac{\sqrt{14} }{2}\)

Answer:

20 divided by 5=4

Step-by-step explanation:

5x4=20. 20 divided by 5 is equal to 4. They are the same because they use the same number but just flip the sign and equation.

If this has helped please mark as brainliest

Answer:

///////////////////

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

Answer:

If ET is 20 then DS should be 30 which makes RS 90

Step-by-step explanation:

Hope this helps. :)

Answer:

No solutions.

Step-by-step explanation:

Steps:

I will solve your system by substitution.

y=1/4x−10;y=1/4x+1

Step: Solve y=1/4x−10 for y:

Step: Substitute 1/4x−10 for y in y=1/4x+1:

y=1/4x+1

1/4x−10=1/4x+1

1/4x−10+−1/4x=1/4x+1+−1/4x(Add (-1)/4x to both sides)

−10=1

−10+10=1+10(Add 10 to both sides)

0=11

The given system of equation of No solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the equations:

y= 1/4 x - 10

y = 1/4x + 1

Now, Solve y=1/4x−10 for y by Substituting 1/4x−10 for y in y=1/4x+1 we get

y=1/4x+1

1/4x−10=1/4x+1

1/4x−10+−1/4x=1/4x+1+−1/4x

−10=1

0=11

thus, the equation have No solution.

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Answer:

1, 3, 9, 27

Step-by-step explanation:

1 times 27 = 27

3 times 9 = 27

9 times 3 = 27

27 times 1 = 27

hope this helps!!!

Answer:

1, 3, 9, 27

Step-by-step explanation:

27 = 3³

The factors of 27 are:

1, 3, 9, 27

Answer:

271

Step-by-step explanation:

Answer:

Statement Reason

1. m∠AOC+m∠COB= 90° 1. complementary angles

2. m∠30° + BOC+m∠BOC=90° 2. Substitution

3. m∠BOC = 30° 3. Algebra

4. m∠AOC = 60° 4. Algebra

I think I got it

Answer:

(-2, - 15/2)

Step-by-step explanation:

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

Step-by-step explanation:

an normal rectangle will have abot 4 lines of symmetry but since i can not see you rectangle i cant tell for sure

Answer:

the answer is 384

Step-by-step explanation:

a1 = 21, a2 = 23, a3 = 25

an = 43

d = a2 - a1 = 23 - 21 = 2

d = a3 - a2 = 25 - 23 = 2

Here, common difference is same everywhere

So,

\( a_{n} = a + (n - 1) \times d\)

\(43 = 21 + (n - 1) \times 2\)

\(43 - 21= 2n - 2\)

\(2n - 2 = 22\)

\(2n = 24 \)

\(n = 12\)

Now,

\(s _{n} = \frac{n}{2} (a + a_{n}) \\ \)

\(s _{12} = \frac{12}{2} (21+ 43) \\ \)

\(s _{12} = 6 (64) \\ \)

\(s _{12} = 384 \\ \)

Answer:

1. <AEB and <BEC    2. <AED and <CED

Step-by-step explanation:

Supplementary angles are 2 angles that add up to 180 degrees. 180 degrees is also a line. So I picked angles that form a line.

This are the right steps

Step 1: first you divide the both size by 7 because there is 7 a's

7a/7 = 28/7

Step 2: You solve the equation

7a/7= a. 28/7 = 4

So, the answer is a = 4

not 7 = 4

Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.

To solve linear equations in one variable, we isolate the variable to one side of the equation and simplify the other side to get the solution for the equation.

In the process of isolation, the operations performed on one side of the equation have to be performed on the other side too.

In the question, we are informed that Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4.

We are asked to find the mistake that Carly did in solving the equation.

We first try to solve the equation: 7a = 28.

Step 1: 7a/7 = 28/7 {Dividing both sides by 7}

Step 2: a = 4 {Simplifying}.

Thus, we can see that Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.

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Answer:

C (3x2)x8+7

Step-by-step explanation: