The angles of a triangle add up to 180 degrees.The second angle is 24 degrees larger than the smallest angle.The third angle is 4 times as big as the smallest angle.Find the measure of the smallest angle

On solving the provided question we can say that The result of multiply the total number of kids by the proportion of those who enjoy chocolate is 12

Along with addition, subtractiοn, and division, multiplication is one of the four arithmetic operations. Multiplicatiοn in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals prοduct.

Specifically, multiplicand: First number (factοr). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is knοwn as the product. Multiple additiοns are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20, I multiplied 5 by 4 times. Multiplication is frequently referred tο as "doubling" because οf this.

The result of multiply the tοtal number of kids by the proportion of those who enjoy chocolate is

32 × 3/8 = 12

To know more about multiply visit:

brainly.com/question/23536361

#SPJ1

Step-by-step explanation:

\(hola \: ms \: cutie\)

\(here \: is \: your \: answer\)

it means that 60% of 80 of his classmates that are hip hop likers

solution

\(62\div 100 \times 80 \\ \)

=25.6

70% of his 60 relatives that are hip hop likers

=42

42- relatives, 25.6- classmates

so basically, the relatives are the ones that like hip hop more.

Answer:

x ≈ 10.7

Step-by-step explanation:

using the cosine ratio in the right triangle

cos68° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{4}{x}\) ( multiply both sides by x )

x × cos68° = 4 ( divide both sides by cos68° )

x = \(\frac{4}{cos68}\) ≈ 10.7 ( to 1 decimal place )

Answer:

220

Step-by-step explanation:

V= whl = 5 · 11 · 4 = 220

Find the volume of a rectangular prism with the dimensions:

length: 4 yd

width: 5 ft

height: 11 ft

\( \bullet \) Length of a rectangular prism = 4 yards = 4 × 3 = 12 feet.

\( \bullet \) Breadth of a rectangular prism = 5 feet.

\( \bullet \) Height of a rectangular prism = 11 feet.

The volume of a rectangular prism.

We know,

Formula of Volume of a rectangular prism is (Length × Breadth × Height) cubic units.

So, Volume = (12 × 5 × 11) cubic feet

Volume = 660 cubic feet

Answer:

A) 3.6 meters

B) 3.24 meters

C) 13 Times

Step-by-step explanation:

:)

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

Know more about asymptotes here:

https://brainly.com/question/4138300

#SPJ11

By applying the graphical approach, the solution of the nonlinear system that lies in the third quadrant of the Cartesian plane is the point (x, y) = (- 2, -5).

The first equation corresponds to an ellipse whose major axis is vertical and the second equation is another ellipse with similar characteristics. There are two manners to determine the solution of the given system: (i) Analytical, (ii) Graphical.

In this situation we decide to use a graphical approach, which consists in plotting each function on a Cartesian plane. We use a graphing tool herein.

Please notice that the third quadrant of the Cartesian plane is the region of the plane such that x < 0 and y < 0. The solution of the nonlinear system that lies in the third quadrant is (x, y) = (- 2, -5).

To learn more on ellipses: https://brainly.com/question/14281133

#SPJ1

Answer:

Quadrant III: (-2,-5)

Quadrant IV: (2,-5)

Step-by-step explanation:

Graphed the equations as a system and then found the points that intersect on the graph of each quadrant + was marked correct on APEX

Answer:

Step-by-step explanation:

b because i did it

Answer:

n = 75

Step-by-step explanation:

Step 1: Write equation

-n = -75

Step 2: Divide both sides by -1

n = 75

Step 3: Check

Plug in n to verify it's a solution.

-75 = -75

Answer:

There are no solutions to this equation.

Step-by-step explanation:

Answer:

5.0714285714

Step-by-step explanation:

check the photo

:)

Step-by-step explanation:

That's what I got.

Hope that was helpful

Answer:

\(\boxed{x^4 + x^2 + x}\)

Step-by-step explanation:

\(\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}\)

\(= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}\)

\(= x^4 + x^2 + x\)

.

Happy to help :)

The change in the amount of thread on the spool after cutting 5 and three-fourths inches is represented by the option "Negative 5 and three-fourths inches" or "Negative 5.75 inches".

When students cut 5 and three-fourths inches of thread from a spool, it means they are removing a certain length from the spool. The phrase "cutting" indicates a decrease or reduction in the amount of thread. To represent this decrease, we need to consider the magnitude and the sign. The magnitude of the thread cut is 5 and three-fourths inches. However, since it is a reduction in the thread, the sign is negative. Thus, the correct representation of the change in the amount of thread on the spool is "Negative 5 and three-fourths inches" or "Negative 5.75 inches".

To know more about amount of thread here: brainly.com/question/9755399

#SPJ11

Answer:

-5.75

Step-by-step explanation:

I know i am probaly wrong lol

Answer:

5

Step-by-step explanation:

58+78=131

180-131=49

10(5)-1

=5

Answer:

x=5

Step-by-step explanation:

A triangle= 180

53+78+10x-1=180

Combine like terms

130+10x=180

Subtract by 130 on both sides

10x=50

Divide by 10 on both sides

x=5

Answer:

\( - \frac{9}{2} \)

Step-by-step explanation:

12-3 for the change from the y-intercept

9/-2

\( - \frac{9}{2} \)

The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

To know more about Taylor polynomials Visit:

https://brainly.com/question/30481013

#SPJ11

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

Learn more about reference triangle here

brainly.com/question/30362949

#SPJ11

Answer:

system

Step-by-step explanation:

Answer:

system of equation

Step-by-step explanation:

To determine which of the numbers is larger, we need to make sure that the value of the exponents of both numbers is the same.

The second number can be rewritten as follows:

Since both exponents are the same, we can compare the numbers. Thus, we have:

Therefore, the numbers have the following comparison:

OPTION B is correct.

Answer:

Two variables are proportional if they can be written as y=kx y = k x , where k is the constant of proportionality. If y and x are proportional, then for any pair of x and y , the ratio yx=k y x = k should be the same.

Step-by-step explanation:

Answer:

6000 ft

Step-by-step explanation:

they walked apart at a rate of 600 ft /min because e320+280 so 600 x 10

Answer:

they were 600ft apart after 1 minute.

Step-by-step explanation:

Distance = speed × time

Alice and Dave left school at the same time walking in opposite directions.

Alice walked at an average speed of 280 ft/min. It means that the distance covered by Alice in 1 minute is

280 × 1 = 280 ft

Dave walked at an average speed of 320 ft/min. It means that the distance covered by Dave in 1 minute is

320 × 1 = 320 ft

Total distance covered by both Alice and Dave in 1 minute is

280 + 320 = 600 ft

The velocity of a ship can be calculated by dividing the distance traveled by the time taken. In this case, the ship travels a distance of 600 km to the south in 24 hours. Therefore, the velocity of the ship can be determined by dividing 600 km by 24 hours.

To calculate the velocity, we use the formula:

Velocity = Distance / Time

Substituting the given values into the formula, we get:

Velocity = 600 km / 24 hours

Simplifying the calculation, the velocity of the ship is 25 km/h to the south.

Therefore, the ship has a velocity of 25 kilometers per hour in the south direction.

To learn more about velocity: -brainly.com/question/30559316

#SPJ11

Answer:

Step-by-step explanation:

2/6=33.33

Answer:

$6.40

Hope this is right <3

Answer:

Step-by-step explanation:

dad hates me sorry bye

Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.

It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:

1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).

2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.

3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.

4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.

Learn more about Central limit theorem here: brainly.com/question/18403552

#SPJ11

The height in meters of a lava rock that falls for 5 seconds will be 122.5 meters.

The missing function is y = 1/2 gt².

A function is a remark, tenet, or regulation that establishes a relationship between the two parameters.

The height of lava fountains spewed from volcanoes cannot be measured directly.

Instead, their height in meters can be found using the equation is given as

y = 1/2 gt²

where y represents the height, g is 9.8, and t represents the falling time of the lava rocks.

Then the equation will be

y = 1/2 × 9.8 × t²

y = 4.9t²

Then the height in meters of a lava rock that falls for 5 seconds will be

y = 4.9 x 5²

y = 122.5 meters

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

TWO SOLUTIONS EXIST FOR THESE EQUATIONS

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

Learn more about equations on:

brainly.com/question/28280501

#SPJ1