How does finding the area of one face of a triangular pyramid that is made up of a equilateral triangles help you find the surface area of the triangular pyramid?

Answer:120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

khan

Answer:

x = 65° , y = 115° , z = 65°

Step-by-step explanation:

consecutive angles in a parallelogram are supplementary , then

x + 115° = 180° ( subtract 115° from both sides )

x = 65°

opposite angles in a parallelogram are congruent , then

y = 115° and z = x = 65°

Answer:

See below!

Step-by-step explanation:

So,

So,

y + x = 180°

115 + x = 180

x = 180 - 115

Again,

z = x (Opposite angles)

So,

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

A statement which is true include the following: C. the measure of GF is 4 inches.

In Mathematics and Geometry, a perpendicular bisector simply refers to a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector can be used to bisect or divide a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment CD is perpendicular bisector of AB, we can logically deduce the following congruent line segments;

ED ≅ DF

EG ≅ GF

EG = GF = 4 inches.

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Answer:

A

Step-by-step explanation:

Given that lim h(x) = -inf as x = c- and lim h(x) = inf as x = c+, the statement that best describes the existence of an asymptote at c is "There must be a vertical asymptote at x = c." Therefore, the correct option is option 1.

The reasoning for this conclusion is as follows:

1. The limit of h(x) approaches negative infinity as x approaches c from the left (c-), indicating that the function becomes increasingly large in the negative direction.

2. The limit of h(x) approaches positive infinity as x approaches c from the right (c+), indicating that the function becomes increasingly large in the positive direction.

3. Since the function exhibits extreme behavior on both sides of x = c, there must be a vertical asymptote at x = c, which is a line where the function is undefined and the values of the function approach infinity as x approaches the asymptote.

Hence, the correct answer is option 1: There must be a vertical asymptote at x = c.

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Answer:

60% chance of a blue or green card

Answer:no

Step-by-step explanation:z should be more than 12 like 13, 16.67,...

Answer:

No

Step-by-step explanation:

Z=5

5 >12 5 is not greater than 12.

Answer:

-1/2

Step-by-step explanation:

slope is  \(\frac{y_{2}- y_{1}}{x_{2}-x_{1}}\)

so:

\(\frac{6-8}{12-8} = -\frac{2}{4} = -\frac{1}{2}\)

Answer:

hi idlk

Step-by-step explanation:

The equation solved by transposition is n = 1/2

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

n - 3/8 = 1/8

Add 3/8 tp both sides of the equation

So, we have

n = 3/8 + 1/8

Evaluate the like terms

n = 4/8

Simplify

n = 1/2

Hence, the solution is n = 1/2

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Answer:

420 people in 3 hours. 140 people per hour.

Step-by-step explanation:

this is quite simple

35 p = 15 m

140 p = 1 hour

420 p = 3 hours

Answer:

\(m\angle 2=95^{\circ}\)

Step-by-step explanation:

It is given that ∠1 and ​∠2​ are a linear pair. So, there sum is 180 degrees.

\(m\angle 1+m\angle 2=180^{\circ}\)    ...(1)

∠2​ and ​∠3​ are vertical angles. So, both are equal.

\(m\angle 2=m\angle 3\)     ...(2)

From (1) and (2), we get

\(m\angle 1+m\angle 3=180^{\circ}\)

Substitute \(m\angle 1=(3y+10)^{\circ}\) and \(m\angle 3=(5y-30)^{\circ}\) in the above equation.

\((3y+10)^{\circ}+(5y-30)^{\circ}=180^{\circ}\)

\((8y-20)^{\circ}=180^{\circ}\)

\(8y-20=180\)

\(8y=180+20\)

Divide both sides by 8.

\(y=\dfrac{200}{8}\)

\(y=25\)

The value of y is 25.

Using equation (2), we get

\(m\angle 2=m\angle 3=(5y-30)^{\circ}\)

Substitute y=25.

\(m\angle 2=(5(25)-30)^{\circ}\)

\(m\angle 2=(125-30)^{\circ}\)

\(m\angle 2=95^{\circ}\)

Therefore, \(m\angle 2=95^{\circ}\).

The three digit number is 727 while the one digit number is 4

Given data

The sum of a three-digit number and a one-digit number is 731.

The product of the numbers is 2,908

let three digit number be x, y, and z

let the one digit be w

The sum

xyz + w =731

xyz * w = 2,908

making xyz the subject of formula

xyz = 731 - w

plugging in xyz into xyz * w = 2,908

( 731 - w ) * w = 2908

731w - w^2 = 2908

w^2 - 731w + 2908 = 0

solving the quadratic equation gives

w = 727 or 4

since w is a one digit number then w = 4

plugging in w = 4 into xyz + w =731 we have

xyz + w =731

xyz + 4 =731

xyz =731 - 4

xyz  = 727

Hence the three digit number is 727 while the one digit number is 4

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Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is approximately 0.0443 or 4.43%.

The distribution of the sample means of size n = 100 from a population with mean μ = $2500 and standard deviation σ = $300 can be approximated by a normal distribution with mean = μ = $2500 and standard deviation = σ/√n = $300/√100 = $30.

Thus, we need to find the probability that the sample mean falls between $2450 and $2460.

Z-score for $2450:

z = (2450 - 2500) / 30 = -1.67

Z-score for $2460:

z = (2460 - 2500) / 30 = -1.33

Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores:

P(z < -1.67) = 0.0475

P(z < -1.33) = 0.0918

Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is:

P(-1.67 < z < -1.33) = P(z < -1.33) - P(z < -1.67)

= 0.0918 - 0.0475

= 0.0443

So, the probability is approximately 0.0443 or 4.43%.

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Answer: 15

Step-by-step explanation: we have 140 buns if a bakery bought 80 that means we don't have the 80 buns so we remove 80 from 140 so 140-80= 60. and so The remaining buns were put into 4 buns each. so we divide cause they are in 4 and so 60 divided by 4 is 15.

HOPE THIS HELPS!

When testing the population mean (μ) or the difference of means (μ1 – μ2) from independent populations, you should consider the sample size and the known/unknown nature of population standard deviation to decide whether to use the standard normal distribution or a Student's t-distribution.

1. Use the standard normal distribution (z-test) when:
  a) The sample size is large (n ≥ 30) and the population standard deviation (σ) is known.
  b) The population is normally distributed, and the population standard deviation (σ) is known, regardless of the sample size.

2. Use the Student's t-distribution (t-test) when:
  a) The sample size is small (n < 30) and the population standard deviation (σ) is unknown, requiring you to estimate it using the sample standard deviation (s).
  b) The population is normally distributed or approximately normal, and the population standard deviation (σ) is unknown, regardless of the sample size.

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The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

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Answer:

1

Step-by-step explanation:

Because the shape divided has to create another shape and for 1 it's an oval at the beginning and then after the lines of symmetry go through its seen as 8 triangles.

Answer:

y = -3x - 3

Step-by-step explanation:

Subtract 3x both sides

y = -3 - 3x

y = -3x + (-3)

Answer:

51?

Step-by-step explanation:

No, when finding the upper and lower quartiles, the median is not included in the calculations.

When finding the upper and lower quartiles of a data set, the median (or second quartile) is not included in the calculations. The quartiles divide the data set into four equal parts, with the median representing the second quartile.

To find the lower quartile (Q1), one needs to determine the median of the lower half of the data set, excluding the median itself. This includes the data points below the median.

Similarly, to find the upper quartile (Q3), the median of the upper half of the data set is determined, excluding the median. This includes the data points above the median.

The inclusion of the median in the calculation of quartiles can cause confusion, but it is important to note that the median is separate and distinct from the quartiles.

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The term prime factorization refers to any number represented as the product of its prime factors.

For instance, the prime factors that make up the number 60 are listed as follows:

60=2×3×2×2×5

The idea behind prime factorization is to divide the provided whole numbers into their prime factors in order to find the largest common factor and least common multiple of each number.

Procedures for using prime factorization to find the greatest common factor (G.C.F.)

The given numbers should be written as their prime factors.

To find the G.C.F., multiply each of the given numbers by the product of the discovered common factors.

For instance, using the formula below, one may get the largest or greatest common factor between the values 50 and 20.

50 = 2 x 5 x 5

20 = 2 x 2 x 5

The highest common factor is found by multiplying the common prime factors of 50 and 20.

G.C.F = 2 x 5

The greatest common factor of the supplied numbers can then be computed using prime factorization.

Following these steps will help you use prime factorization to find the LCM:

In the form of their prime factors, write the given numbers.

Take the product of the numbers' rare prime factors and discovered common prime factors.

For instance, using prime factorization, the least common multiple of the numbers 50 and 20 can be calculated as follows:

Separately write the prime factors of 50 and 20.

50 = 2 x 5 x 5

20 = 2 x 2 x 5

Multiply the resulting common prime factors (2 and 5) with the remaining uncommon prime factors (2 and 5) to find the least common divisor.

L.C.M = 2 x 2 x 5 x 5

In this way, we can take advantage of prime factorization to compute the least common multiple of a given number.

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Answer:

8

Step-by-step explanation:

18+46=64

87.5% of 64=56

64-56=8

56 take the bus

8 dont take the bus

Answer:

small = 35 pounds

large = 45 pounds

Step-by-step explanation:

Let x = large boxes

y = small boxes

two equations can be derived from the question

x + y = 80  equation 1

60x + 65y = 4975 equation 2

multiply equation 1 by 60

60x +60y = 4800 equation 3

subtract equation 2 from 3

5y = 175

y = 35

substitute for y in equation 1

x + 35 = 80

x = 80 - 35

x = 45

80 miles must be driven in a day to make the rental cost for company A a better deal than company B

according to the question

company A for $90 a day plus $0.30 per mile

company B charges $50 a day plus $0.80 per mile to rent the same truck

90+0.30m = 50 +0.80m

0.50 m= 40

m =40/0.50

m = 4000/50

m= 80 miles

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Answer:

128

Step-by-step explanation:

they are parralel

Answer:

the answer is 128 they are parallel

There were 20 questions on the quiz.

Let's start by using algebra to solve the problem.

Let x be the total number of questions on the quiz.

If Jianna got 87.5% of the questions correct, then she got 0.875x questions

correct.

We also know that Jianna got 17.5 questions correct.

So we can set up the equation:

0.875x = 17.5

To solve for x, we can divide both sides by 0.875:

x = 20

Therefore, there were 20 questions on the quiz.

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Answer:

B

Step-by-step explanation:

Expressing the ratios as fractions, that is

\(\frac{a}{b}\) = \(\frac{3}{1}\) ( cross- multiply )

a = 3b

\(\frac{b}{c}\) = \(\frac{1}{5}\) ( cross- multiply )

c = 5b

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

Given

\(\frac{2a+3b}{4b+3c}\) , substitute values from above for a and c

= \(\frac{2(3b)+3b}{4b+3(5b)}\)

= \(\frac{6b+3b}{4b+15b}\)

= \(\frac{9b}{19b}\) ← cancel b on numerator/ denominator

= \(\frac{9}{19}\) → B

The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

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