Anybody know the answer to this

The area of the given triangle will be 57 cm^2

The steps are as follow:

a = altitude of triangle = 6 cm

b = base of traingle = 19 cm

A = (ah)/2

A = (6 x 19)/2

A = 114/2

A = 57 cm^2

So the area of given triangle will be 57 cm^2

Learn more about Area of triangle here:

https://brainly.com/question/17335144

#SPJ2

Answer:

m =  \(\frac{-3}{4}\)

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (2, 9) and (18, -3)

We see the y decrease by 12 and the x increase by 16, so the slope is

m = \(\frac{-12}{16}\) = \(\frac{-3}{4}\)

The ratio of the hypotenuse to the shorter leg is b²/a².

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the lengths of the sides of the right triangle as a, b, and c, where a is the shorter leg, b is the longer leg, and c is the hypotenuse.

According to the given information, we have the following geometric progression:

b/a = c/b

To find the ratio of the hypotenuse to the shorter leg (c/a), we can rearrange the equation:

c = b²/a

Now, we can substitute the value of c in terms of b and a into the expression for the ratio:

c/a = (b²/a) / a

= b²/a²

Therefore, the ratio of the hypotenuse to the shorter leg is b²/a².

To know more about Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ4

Answer:

6

Step-by-step explanation:

15-9 = 6

Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

Learn more about volume here:

https://brainly.com/question/1972490

#SPJ1

A. 280 students chose lifting weights as their favorite exercise.

B. 70 more students chose lifting weights than walking.

Based on the given information, we can answer both Part A and Part B.

Part A:

To find the number of students who chose lifting weights, we need to calculate 20 percent of the total number of students surveyed (1,400).

Number of students choosing lifting weights = 20% of 1,400

= (20/100) * 1,400

= 0.2 * 1,400

= 280

Part B:

To determine how many more students chose lifting weights than walking, we need to calculate the difference between the percentages of students who chose lifting weights and walking, and then apply that difference to the total number of students surveyed (1,400).

Percentage difference between lifting weights and walking = 20% - 15%

= 5%

Number of students who chose lifting weights more than walking = 5% of 1,400

= (5/100) * 1,400

= 0.05 * 1,400

= 70

For more question on weights click on

https://brainly.com/question/30237339

#SPJ11

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1

In the expression g(g+Br-5), there are two terms: g and (g+Br-5), which are multiplied together. The coefficient of g is 1, which means there is an implied coefficient of 1 in front of the variable g.

The coefficient of (g+Br-5) is also 1 since there is no number or variable multiplying this term.

Coefficients are the numbers that appear in front of variables or constants in an expression, indicating how many times the variable or constant is being multiplied. In this case, the coefficients are 1 for both terms, since there are no explicit coefficients given.

Learn more about explicit coefficients here:- brainly.com/question/28331556

#SPJ11

Answer: 15

Step-by-step explanation:

From the question, we can infer from the information given that:

5 eclaires boxes = 1 free eclaires box.

Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:

= 77 / 5

= 15.4

= 15

The group of kids will receive 15 free boxes

(a) The dot product of A and B is given by: A · B = (2î + 3ĵ + 4k) · (î - 2ĵ + 3k)= 2(1) + 3(-2) + 4(3)= 2 - 6 + 12 = 8

Therefore, A · B = 8.

(b) The angle between two vectors A and B is given by:

θ = cos^(-1)((A · B) / (|A| |B|))

In this case, |A| is the magnitude of vector A and |B| is the magnitude of vector B. The magnitude of a vector is given by the square root of the sum of the squares of its components.

|A| = √(2² + 3² + 4²) = √(4 + 9 + 16) = √29

|B| = √(1² + (-2)² + 3²) = √(1 + 4 + 9) = √14

Plugging in the values:

θ = cos^(-1)(8 / (√29 √14))

(c) The scalar component of vector A in the direction of vector B is given by:

A_B = (A · B) / |B|

Plugging in the values:

A_B = 8 / √14

(d) The cross product of vectors A and B is given by:

A x B = (2î + 3ĵ + 4k) x (î - 2ĵ + 3k)

= (3(3) - 4(-2))î + (4(1) - 2(3))ĵ + (2(-2) - 3(3))k

= 17î - 2ĵ - 13k

Therefore,AXB = 17î - 2ĵ - 13k.

Learn more about Dot Product here -: brainly.com/question/30404163

#SPJ11

(a) The dot product of A and B is given by: A · B = (2î + 3ĵ + 4k) · (î - 2ĵ + 3k)= 2(1) + 3(-2) + 4(3)= 2 - 6 + 12 = 8

Therefore, A · B = 8.

(b) The angle between two vectors A and B is given by:

θ = cos^(-1)((A · B) / (|A| |B|))

In this case, |A| is the magnitude of vector A and |B| is the magnitude of vector B. The magnitude of a vector is given by the square root of the sum of the squares of its components.

|A| = √(2² + 3² + 4²) = √(4 + 9 + 16) = √29

|B| = √(1² + (-2)² + 3²) = √(1 + 4 + 9) = √14

Plugging in the values:

θ = cos^(-1)(8 / (√29 √14))

(c) The scalar component of vector A in the direction of vector B is given by:

A_B = (A · B) / |B|

Plugging in the values:

A_B = 8 / √14

(d) The cross product of vectors A and B is given by:

A x B = (2î + 3ĵ + 4k) x (î - 2ĵ + 3k)

= (3(3) - 4(-2))î + (4(1) - 2(3))ĵ + (2(-2) - 3(3))k

= 17î - 2ĵ - 13k

Therefore,AXB = 17î - 2ĵ - 13k.

Learn more about Dot Product here -: brainly.com/question/30404163

#SPJ11

Answer:

It depends on what you're looking for, but-

Writing an equation from words: w+14=5

Solving for w: w=-9

Step-by-step explanation:

Writing an equation from words:

"Sum" means the answer to an addition problem, for example,

1+1=2.

2 would be the sum.

Anyways, the word problem says the sum is 5. So this is what our equation looks like: ?=5

The two numbers being added together are "w" and "14," which leads us to our answer: w+14=5

Solving for w:

w+14=5

Subtract 14 from both sides to get your answer:

w= -9

a) single application of the trapezoidal rule, b) multiple trapezoidal rule with n = 4, c) single application of Simpson's 1/3 rule, and d) multiple Simpson's 1/3 rule with n = 8.

a) Trapezoidal rule (single application):

Using the trapezoidal rule, the integral can be approximated as [(b - a) / 2] * [f(a) + f(b)], where a and b are the limits of integration. Evaluating this for the given integral, we get 116.6667.

b) Multiple trapezoidal rule with n = 4:

Divide the interval into 4 equal subintervals, and apply the trapezoidal rule to each subinterval. Summing up the results, we get 115.625.

c) Simpson's 1/3 rule (single application):

Applying Simpson's 1/3 rule to the integral, we get 120.

d) Multiple Simpson's 1/3 rule with n = 8:

Divide the interval into 8 equal subintervals and apply Simpson's 1/3 rule to each subinterval. Summing up the results, we get 120.

Note: The approximations provided are rounded to 4 decimal places.

Learn more about trapezoidal rule here: brainly.com/question/29115826

#SPJ11

The toy rocket will hit the ground after approximately 3.86 seconds.

The rocket will hit the ground when its height is equal to zero, so we can use the equation h = -4.97t^2 + 38.5t + 5.6 to find the value of t that satisfies this condition. To do this, we set h equal to zero and solve for t:

0 = -4.97t^2 + 38.5t + 5.6

-5.6 = -4.97t^2 + 38.5t

4.97t^2 - 38.5t - 5.6 = 0

This is a quadratic equation and can be solved using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Where a = 4.97, b = -38.5, and c = -5.6.

Plugging in these values, we get:

t = (-(-38.5) ± √((-38.5)^2 - 4 * 4.97 * -5.6)) / (2 * 4.97)

t = (38.5 ± √(1466.25 + 113.92)) / 9.94

t = (38.5 ± √1580.17) / 9.94

The square root of 1580.17 is 39.67, so:

t = (38.5 ± 39.67) / 9.94

t = (38.5 + 39.67) / 9.94 or (38.5 - 39.67) / 9.94

The first solution gives us a time of approximately 3.86 seconds, while the second solution is negative and therefore represents an unrealistic result.

The toy rocket will hit the ground after approximately 3.86 seconds.

Learn more on quadratic equation: https://brainly.com/question/20038608

#SPJ1

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

Answer:

m<2.5

Step-by-step explanation:

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

To learn more about unitary method, refer to the link: https://brainly.com/question/24587372

#SPJ4

The expression 2x^3 x^2 2x can be simplified to 4x^6. Since this is a polynomial of degree 6, it does not have critical points, which are only present in functions that have derivatives. So, the function 2x^3 x^2 2x has a critical point at x = 0.

Critical points are points where the derivative of a function is equal to zero or undefined.
Yes, the function 2x^3 x^2 2x has critical points.
To find the critical points, we first need to find the derivative of the function with respect to x. The function is f(x) = 2x^3 * x^2 * 2x.
Step 1: Combine like terms.
f(x) = 4x^6
Step 2: Calculate the derivative.
f'(x) = 24x^5
Step 3: Set the derivative equal to zero and solve for x.
24x^5 = 0
Step 4: Solve for x.
x = 0
So, the function 2x^3 x^2 2x has a critical point at x = 0.

Visit here to learn more about critical points:

brainly.com/question/29144288

#SPJ11

Answer:

33 miles

Step-by-step explanation: I think it is correct

Monday: 3 miles

Tuesday: 10 miles

Wednesday: 20 miles because 10 x 2 = 20

3 miles + 10 miles + 20 miles = 33 miles

Hope this helps!

Answer: 261

Step-by-step explanation:

it’s 234 plus 15 plus 12

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

To know more about hypothesis visit:

brainly.com/question/30404845

#SPJ4

Answer:

im pretty sure ascendeing means going up so thats how im going to put it. from lowest to highest.

Step-by-step explanation:

0.8, 0.84 (0.84 is also 21/25) then there is 0.88 then there is 86.

hope this helps

Answer:

They are not proportional.

Step-by-step explanation:

The proportions of each survey differ in size.

                                    \(\frac{3}{5} \neq \frac{6}{11}\)

The first survey represents 60% and the second 54.5% (0.6 and 0.545 in decimal form). Therefore, they are not proportional.

Hope this helps.

Answer:

Given expression:

Parts of it are:

First rewrite the expression

\(\\ \rm\longmapsto 242c+125\)

Answer:

12.02ft

Step-by-step explanation:

the diagram is explanatory

I hope it helps

Answer:

The angle of elevation is 25.8°

Step-by-step explanation:

hypotenuse = 40; adjacent = 36 . The angle of elevation is between the 40 and 36 or the elevation from the street.

Cos x = 36/40                cos x = adjacent ÷hypotenuse

\(cos^1(x) = \frac{36}{40}\)

\(cos^1(x) = .9\)   Use the calculator: TI ( 2ndcos(.9)  enter

\(x = 25.84\)

x ≈ 25.8°

Answer:

a = 2.1

Step-by-step explanation:

-3.7a + 1.7 = -6.07​

-3.7a = -7.77

a = 2.1

The Tennesseean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on current issues. In a recent poll, 762 readers responded to a question. To answer this question, we need more information about the question itself. However, I can provide a general format for an answer that includes the terms you mentioned.

The Tennesseean, an online newspaper, uses daily polls to gather opinions from readers. These polls allow the newspaper to gauge public sentiment on a variety of current issues. The recent poll in question received 762 responses, indicating a level of engagement from the readership.

The Tennesseean, an online newspaper located in Nashville, Tennessee, values reader input and conducts daily polls to gather opinions on a wide range of current issues. In a recent poll, a total of 762 readers responded to the question at hand. This high number of responses indicates that the readership is actively participating in the poll and shows a strong interest in expressing their opinions.

The Tennesseean's decision to conduct daily polls is a strategic approach to engage its audience and involve them in the newspaper's content creation process. By seeking reader opinions, the newspaper ensures that its reporting and coverage align with the interests and preferences of its audience. The high response rate of 762 readers suggests that the poll question was relevant and engaging to the readership.

The Tennesseean's use of daily polls to obtain reader opinions is a commendable effort to involve its audience in the news-making process. The substantial number of responses received in a recent poll, with 762 readers participating, demonstrates a strong level of engagement from the newspaper's readership. This feedback helps the newspaper to better understand the interests and perspectives of its audience, allowing it to deliver more relevant and informative content.

To know more about  online visit

https://brainly.com/question/12972525

#SPJ11

Answer:

$23780

Step-by-step explanation:

Given data

Let the original price be x

discount= 20%

price= $19,024

so that

20/100*x=x-19,024

0.2x= x-19,024

19,024=x-0.2x

19,024=0.8x

x= 19,024/0.8

x=23780

Hence the original price is $23780

In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.

Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.

The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.

The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.

By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.

To learn more about Clausius-Clapeyron equation click here:

brainly.com/question/13256548

#SPJ11

The surface area of the larger prism is 612.5 m².

The ratio of the heights of two similar prisms is 2:7. The surface area of

the similar prism is 50m².

Therefore, the surface area of the larger prims can be found as follows:

Using the proportional relationships,

(2 / 7)² = 50 / x

let

x = surface area of the larger prism

(2 / 7)² = 50 / x

4 / 49 = 50 / x

cross multiply

4x = 49 × 50

4x = 2450

divide both sides by 4

x = 2450 / 4

x = 612.5 m²

Therefore,

surface area of the larger prism = 612.5 m²

learn more on surface area here: https://brainly.com/question/29298005

#SPJ9