Please solve quickly
For 50 points

5 ft is equivalent to 152.4 cm, and 6 ft is equivalent to 182.88 cm. 5 ft and 6 ft are measurements of length that are commonly used in the United States, other countries that use the imperial system.

To convert these measurements to centimetres (cm), we need to know that 1 foot is equal to 30.48 cm. Therefore, we can calculate that:

5 ft x 30.48 cm/ft = 152.4 cm

6 ft x 30.48 cm/ft = 182.88 cm

So, 5 ft is equivalent to 152.4 cm, and 6 ft is equivalent to 182.88 cm. These conversions can be useful when working with different units of length, particularly in scientific or engineering contexts where precise measurements are important.

It's worth noting that in many other countries, including most of Europe and Asia, the metric system is used, and measurements are typically given in meters, centimeters, or millimeters rather than feet and inches.

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Answer:

TRUE

Step-by-step explanation:

Angle <A and angle <B are complementary, which means their sum must be = 90

Angle <B and angle <C are supplementary which means their sum must be = 180

Now let's see

m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1)

first find the sum of A and B

3x + 17 + 55 - x = 90 add like terms

2x + 72 = 90 subtract 72 from both sides

2x = 18 divide both sides by 2

x = 9

TRUE OR FALSE is asked for

m∠A=44, m∠B=46, and m∠C=134

to find that we just replace c with 9 with every expression given for angles

m<A = 3x + 17

m<A = 3*9 + 17 = 44

m<B =  55 - x

m<B = 55 - 9 = 46

m<C = 134, we don't really need to calculate one by one since the angle are complementary and supplementary.

The answer is TRUE

The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

∠A and ∠B are complements, while ∠B and ∠C are supplements.

∠A + ∠B = 90 degree

3x + 17 + 55 - x = 90

2x = 18

x = 9

Angle ∠B and angle ∠C are supplementary:

∠B + ∠C = 180

55 -x + 67(x/3  - 1) = 180

x = 9

Put the value of x and find angles A, B, and C.

m∠A = 44

m∠B = 46

m∠C = 134

∠A + ∠B = 90

∠B + ∠C = 180

The above statement is true.

Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

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The probability of the second digit being a prime number given that the first digit is a prime number is 1/4.

To find the probability of event b (the second digit being a prime number) given event a (the first digit being a prime number), we need to consider the possible outcomes that satisfy event a.

There are four prime numbers between 10 and 99, which are 11, 13, 17, and 19. Each of these prime numbers can be combined with any of the eight remaining nonzero digits (1, 2, 3, 4, 5, 6, 7, and 8) to form a two-digit combination. Therefore, there are a total of 4 * 8 = 32 possible combinations that satisfy event a.

Out of these 32 combinations, there are 8 combinations that have a prime number as the second digit (11, 13, 17, 19 combined with any of the four remaining prime numbers: 2, 3, 5, 7).

Therefore, the probability of event b given event a, denoted as P(b|a), is 8/32, which simplifies to 1/4.

In conclusion, the probability of the second digit being a prime number given that the first digit is a prime number is 1/4.

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Answer:

1/4

What is 3/12 Simplified? - 1/4 is the simplified fraction for 3/12.

Step-by-step explanation:

Answer:

120 student

Step-by-step explanation:

We know

45% of the students take the bus to school

100% - 45% = 55%

So, 55% travel by car or walk to school

400 x 0.55 = 220 students

So, 220 student travel by car or walk to school

We know

20 more students walk than travel by car

220 - 20 = 200 students

200/2 = 100 students

100 + 20 = 120 students

So, 120 students walk to school

Both a repeated-measures experiment and a matched-subjects experiment can be used to compare two treatment conditions. Following are true for both of these experiments:1. The researcher must compute an estimated standard error for the mean difference score to compute at statistic.

2. Participants in both types of experiments are all measured the same number of times.3. They both use the same t statistic.4. The researcher must compute a pooled variance to compute at statistic.

How many subjects participated in the matched-subjects experiment that produced a t statistic with a df of 9?The degree of freedom (df) is the difference between the sample size and the number of groups being compared minus 1. The degree of freedom (df) for a matched-subjects experiment is equal to the total number of matched pairs minus

1.Therefore, the number of subjects participated in the matched-subjects experiment that produced a t statistic with a df of 9 is 10.How many subjects participated in a repeated-measures experiment that has a t statistic with a df of 15?The formula to calculate the degree of freedom (df) in a repeated measures t-test is df = N - 1, where N is the number of participants.Therefore, the number of subjects participated in a repeated-measures experiment that has a t statistic with a df of 15 is 16.

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Answer:

Set 1

Step-by-step explanation:

i'm pretty sure

Answer:

The seating capacity of the auditorium is 2,340.

Step-by-step explanation:

This question relates to an Arithmetic Progression (AP).

An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.

Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:

Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)

Where;

n = number of rows = 30

a_1 = Number seats in the first row = 20

d = Common difference = 24 - 20 = 28 - 24 = 4

Substituting the values into equation (1), we have:

Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))

Seating capacity =  15 * (40 + (29 * 4))

Seating capacity =  15 * (40 + 116)

Seating capacity =  15 * 156

Seating capacity = 2,340

Therefore, the seating capacity of the auditorium is 2,340.

Answer:c

Step-by-step explanation:

Answer:

B !!!

Step-by-step explanation:

V=l*w*h/3 = 6*4*5/3 = 40

Answer:

RV = 19

Step-by-step explanation:

You have a rectangle, therefore you need to know the following facts:

1. The diagonals are =

2. The diagonals bisect each other.

3. Opposite angles are =

RT = SU                  Diagonals are = in a rectangle

5x - 12 = 4x - 2        Solve for x

x - 12 = -2

x = -2 + 12

x = 10        Now you know RT = 5x - 12

                                           RT = 5(10) -12

                                           RT = 50 -12 = 38

Now diagonals of a rectangle bisects each other meaning this RT= RV + VT  and RV = VT  RT =38 so RV =19 and VT =19.

Next  m ∠SVT = 70°.  m ∠SVT = m ∠VUR are vertical angles are =  

RV = VT and SV = VU.  so ΔSVT = ΔVUR are congruent by SAS.  Thus

m ∠SVT = m ∠VUR   Corresponding parts of congruent triangles are ≅ (CPCTC)

These triangles are isosceles (two angles are = to each other.  

70°+ x° + x° = 180°; 70° + 2x = 180° ; 2x = 110°; x = 55°.    I hope this help.

Answer:

RV = 19

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

\(\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B\)

Recall that double-angle identity for cosine:

\(\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}\)

Substitute cos(2A) for its third form:

\(\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B\)

Distribute:

\(\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B\)

Rewrite:

\(\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)\)

Factor:

\(\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B\)

Double-Angle Identity for cosine:

\(\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B\)

Hence proven.

If the situation shows an average rate of change that is negative then it means that b. it means that the median age of a man at the time of his first marriage is decreasing.

A negative rate of change means that the variable being investigated is decreasing as time goes on.

As the variable in this case seems to be the median age of a man at the time of his first marriage, it means that this median age is decreasing as time goes on.

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Answer:

the answer is x= negative 32.

Answer:

A cylinder with a base radius of 7cm and a height of 12 cm.

Step-by-step explanation:

A solid object =7cm

height=12cm

Now,

we know that l = b×g

=12×7

= 84

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

Answer:

45 + x

Step-by-step explanation:

The rule of inference that is used to arrive at the statement s(y) → w(y) from the statement ∀x(s(x) → w(x)) is Universal Instantiation.

what is Universal Instantiation?

Universal instantiation is a rule of inference in propositional logic and predicate logic that allows one to derive a particular instance of a universally quantified statement. The rule states that if ∀x P(x) is true for all values of x in a domain, then P(c) is true for any particular value c in the domain. In other words, the rule allows one to infer a specific case of a universally quantified statement. For example, from the statement "All dogs have four legs" (i.e., ∀x (Dog(x) → FourLegs(x))), one can use universal instantiation to infer that a particular dog, say Fido, has four legs (i.e., Dog(Fido) → FourLegs(Fido)).

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Answer:

-7\(x^{3}\) + 9\(x^{2}\) -4x

Step-by-step explanation:

-4\(x^{3}\) + 8\(x^{2}\) - 4x - 3\(x^{3}\) + \(x^{2}\)

-7\(x^{3}\) + 9\(x^{2}\) -4x

The height of the drop can be increased by stacking tables, and we can then observe the effect on the pennies' trajectory.

To increase the height from which the pennies are dropped, we can stack two tables. To do this, first, place one of the tables on a level surface. Then, move the other table so that it is parallel to the first table, and place it on top. Make sure that the two tables are securely stacked and do not wobble. Then, use a ruler to measure the height of the two tables combined. This will give us the new height from which the pennies will be dropped. After that, drop the pennies from the new height and observe their trajectory. We can then compare the trajectory of the pennies when dropped from the increased height with the trajectory when dropped from the original height. This will allow us to determine the effect of the increased height on the pennies' trajectory.

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Answer:

If your Simplifying the expression the answer would be 243b2

Answer:

angles 3 and 4 are a linear pair

Step-by-step explanation:

3 and 4 are a linear pair because the both make up 180 degrees together.

Answer:

D. subtract 31 from both sides

you cant combine cuz theyre not like terms and you have to undo the constant number before you undo the second term in the equation so you will end up needing to do letter choice D first.

Step-by-step explanation:

hope this helped a little bit :)

======================================================

Explanation:

The expression 31-12t is the same as 31+(-12t). Adding a negative is the same as subtracting a positive.

Then we can flip the two terms getting -12t+31. This is because we can add two numbers in any order.

So we're effectively solving -12t+31 = 211

The first step is to subtract 31 from both sides to undo the +31. We follow PEMDAS in reverse to isolate the variable.

Answer:

beto and mark

Step-by-step explanation:

beto

3m = 3m+5

solving it we get

5=0

mark

6-n = -n+2

solving it

4=0

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

First find all the factors of 48:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

These are the only values that x can be.  Try them all and see which results in a whole number:

√48/1 = 6.93  not whole

√48/2 = 4.9  not whole

√48/3 = 4  WHOLE

√48/4 = 3.46  not whole

√48/6 = 2.83  not whole

√48/8 = 2.45  not whole

√48/12 = 2  WHOLE

√48/16 = 1.73  not whole

√48/24 = 1.41  not whole

√48/48 = 1  WHOLE

Therefore, there are 3 values of x for which √48/x = whole number.  The numbers are x = 3, 12, 48

On solving the provided question, we can say that the equation that can be used to find the lengths of the congruent sides of an isosceles triangle, given the base and the perimeter, is: 2x + 12 = P

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric form. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Let's call the length of each congruent side of the isosceles triangle "x".

Since the triangle has two congruent sides and a base, we know that the perimeter, P, is given by:

\(P = x + x + 12\\P = 2x + 12\\2x + 12 = 60\\2x = 48\\x = 24\)

Therefore, the lengths of the two congruent sides of the isosceles triangle are both 24 feet.

To summarize, the equation that can be used to find the lengths of the congruent sides of an isosceles triangle, given the base and the perimeter, is:

2x + 12 = P

where P is the perimeter and x is the length of each congruent side.

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Answer: Problem 1: x<$5

Problem 2: 6 + c ≥ 20

Step-by-step explanation:

number of tubes=4

total=<$20

4(x)<$20

x<$20/4

x<$5

number of ice cream cones needed to make profit=20

number of ice cream cones sold so far= 6

how many left?= c

6 + c ≥ 20

I am not a professional, simply using prior knowledge.

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

Equilateral Triangle, Isosceles Triangle, Scalene Triangle

Step-by-step explanation:

Equilateral: 3 lines of symmetry

Isosceles: 1 line of symmetry

Scalene: no lines of symmetry

The area of the 1/4 inch diameter circle, expressed to the nearest thousandth square inch, is 0.049 square inches.

The formula to find the area of a circle is A = π\(r^2\).

Where,

r is the radius of the circle.

Since the diameter of the circle is given as 1/4 inch, the radius is 1/8 inch (radius = diameter/2).
Substituting the value of r in the formula, we get A = π(1/8) = π/64 square inches.
Now, to express the answer to the nearest thousandth square inch, we need to calculate the value of π/64 and round it to the nearest thousandth. Using a calculator, we get π/64 = 0.04908738521...
The area of a circle with a 1/4 inch diameter, we'll use the formula A = π\(r^2\), where A is the area, and r is the radius.

First, we need to find the radius.

Since the diameter is 1/4 inch, the radius (r) is half of that: 1/8 inch.

Now, we'll calculate the area: A = π\(\frac {1}{8} ^{2}\) = π(1/64) ≈ 0.0123 square inches. So, the area of the circle is approximately 0.0123 square inches to the nearest thousandth.
Rounding this value to the nearest thousandth gives us 0.049 square inches.

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