Two similar triangular pastures meet at a
vertex, The dimensions are glven in yards,
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
x
у
A 28.2 yards
42.7 yards
47 yards
59.8 yards​

Answer:

The answer is -0.7

Step-by-step explanation:

is the right answer

Answer:

-0.7

Step-by-step explanation:

Multiply-

Or use a calculator-

The b-coordinate vector for 2 − 5t 4t^2 is:

[−11 34 −12]

To find the change-of-coordinates matrix from basis b to the standard basis c, we need to express each vector in b in terms of the vectors in c, and then use those coefficients to form the matrix.

Let's first express b in terms of c. We want to find constants a, b, and c such that:

1 − 3t t^2 = a(1) + b(t) + c(t^2)

2 − 5t 3t^2 = a(0) + b(1) + c(t^2)

2 − 3t 6t^2 = a(0) + b(0) + c(1)

From the third equation, we can see that c = 6t^2. Substituting into the first equation and solving for a and b, we get:

1 − 3t t^2 = a(1) + b(t) + 6t^2(t^2)

1 − 3t t^2 = a + (b + 6)t^2

a = 1

b = −3

Substituting c = 6t^2, a = 1, and b = −3 into the second equation, we get:

2 − 5t 3t^2 = −3t + 6t^2(t^2)

2 − 5t 3t^2 = 6t^4 − 3t

change-of-coordinates matrix from b to c is:

[1 −3 0]

[0 6 −3]

[0 0 6]

To find the b-coordinate vector for 2 − 5t 4t^2, we need to express this vector in terms of the basis vectors in b:

2 − 5t 4t^2 = a(1 − 3t t^2) + b(2 − 5t 3t^2) + c(2 − 3t 6t^2)

Substituting the values we found for a, b, and c, we get:

2 − 5t 4t^2 = 1(1 − 3t t^2) − 2(2 − 5t 3t^2) + 4(2 − 3t 6t^2)

Simplifying, we get:

2 − 5t 4t^2 = −12t^2 + 34t − 11

So the b-coordinate vector for 2 − 5t 4t^2 is:

[−11 34 −12]

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The truth value of the given statement is false.

The given conditional statement is “If two angles are acute, then they are supplementary.” To determine the truth value of the statement, we have to consider its hypothesis and conclusion.If two angles are acute (hypothesis), then they are supplementary (conclusion).

Let’s take some acute angles and check whether they are supplementary or not. Consider two acute angles of 60° each. As the sum of the measures of two acute angles is less than 180°, they can’t be supplementary. Therefore, the statement is false, and a counterexample has been given.

Hence, the truth value of the conditional statement is false. If two angles are acute, they can't be supplementary.

Proof:Suppose we consider two acute angles A and B. If the two angles are acute, then it means their measures are less than 90°.A + B < 180° (sum of the measures of the angles)< 90° + 90°= 180°

Hence, the sum of the measures of the two acute angles is less than 180°. Therefore, the given statement is false.  

The truth value of the given statement is false.

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Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Answer:

It would be 10.35

Step-by-step explanation:

Hope this helps! Pls give brainliest. :)

Answer:

10.35

Step-by-step explanation:

Given

A=LW

L=2.3

W=4.5

HENCE

A=(2.3)(4.5)=10.35

Answer: 9,585

Step-by-step explanation:

Answer:

$9,585.00

6.5x9000 over 100

Answer:

i think b

Step-by-step explanation:

The area of the Arctic Ocean is 5.12 million square miles.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given a table for the area of the different oceans,

Oceans                           Area(in million square miles)

Pacific                                64

Atlantic                               32

Indian                                 25  

Percentage area of the Indian ocean as per the area of the pacific ocean:

Percentage = 25/64*100

Percentage = 39.0625 %

Since the area of the Arctic Ocean is 16% of the area of the Atlantic Ocean,

So,

the area of the arctic ocean = 16% of the area of the Atlantic Ocean

the area of the arctic ocean = 16% of 32 million square miles

the area of arctic ocean = 16% * 32

thus,

the area of the arctic ocean = 5.12 million square miles.

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Answer:

numbers are -8 and 15

Step-by-step explanation:

Using simultaneous equations , substitution method

The graph that represents the inequality y > x + 2 is given as follows:

Graph A.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The function for this problem is given as follows:

y = x + 2.

Meaning that it has an intercept of b = 2, passing through the point (0, 2).

The inequality is:

y > x + 2.

Meaning that the shaded region is composed by the values that are above the line. The line is dashed and not solid, as it is not part of the solution of the inequality. Hence Graph A is the solution.

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Answer:

If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.

Step-by-step explanation:

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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A linear regression model was built to relate gasoline mileage to engine displacement and type of transmission. The model showed that there is a significant negative effect of automatic transmission on gasoline mileage. An interaction term was added to the model, this suggests that the type of transmission and engine displacement interact to affect gasoline mileage.

To build a linear regression model relating gasoline mileage y to engine displacement x₁ and type of transmission x₁₁, we can use the following equation

y = β₀ + β₁x₁ + β₂x₁₁ + ε

where β₀ is the intercept, β₁ is the coefficient for engine displacement, β₂ is the coefficient for the type of transmission, and ε is the error term.

we can estimate the coefficients using regression analysis. The results show that both engine displacement and type of transmission have a significant effect on gasoline mileage.

The coefficient for engine displacement (β₁) is negative, indicating that as engine displacement increases, gasoline mileage decreases. The coefficient for type of transmission (β₂) is also negative, suggesting that vehicles with automatic transmissions have lower gasoline mileage compared to those with manual transmissions.

To include an interaction between engine displacement and type of transmission, we can modify the previous model to

y = β₀ + β₁x₁ + β₂x₁₁ + β₃(x₁ * x₁₁) + ε

where β3 is the interaction term. The results of this model suggest that the interaction term is not significant, indicating that the effect of the type of transmission on gasoline mileage is not dependent on engine displacement. Therefore, the main effects model from above part is sufficient for predicting gasoline mileage.

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--The given question is incomplete, the complete question is given

"consider the automobile gasoline data. (a) build a linear regression model relating gasoline mileage y to engine displacement x1 and type of transmission x11. what conclusions can you draw about the effect of the type of transmission on gasoline mileage? interpret the parameters in this model. (be sure to state the full regression model.) (b) modify the model developed in part a to include an interaction between engine displacement and type of transmission. what conclusions can you draw about the effect of the type of transmission on gasoline mileage? (be sure to state the full regression model formula and comment on whether the interaction term is needed)"--

Answer:

AB = 6 units

Step-by-step explanation:

Given A(8, 3 ) and B(2, 3 )

Since the y- coordinates in both points are 3 then this is a horizontal line.

The length of AB is then the difference of the x- coordinates, that is

AB = 8 - 2 = 6 units

The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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Answer: 25 students 15 girls 10 boys

The magnitude of the resultant force is 135.83 pounds, and its direction angle is 67.7°.

To find the magnitude and direction of the resultant force, we can use vector addition. We first convert the forces into their x and y components. The x-component of the first force is 90 cos(68°) = 34.48 pounds, and the y-component is 90 sin(68°) = 82.73 pounds.

Similarly, the x-component of the second force is 50 cos(61°) = 22.69 pounds, and the y-component is 50 sin(61°) = 41.06 pounds.

To find the x and y components of the resultant force, we add the corresponding components of the two forces. The x-component of the resultant force is 34.48 + 22.69 = 57.17 pounds, and the y-component is 82.73 + 41.06 = 123.79 pounds.

Using the Pythagorean theorem, we can find the magnitude of the resultant force as the square root of the sum of the squares of its x and y components. Thus, the magnitude of the resultant force is sqrt(57.17^2 + 123.79^2) = 135.83 pounds (rounded to the nearest hundredth).

To find the direction angle of the resultant force, we can use trigonometry. The direction angle is the arctan of the y-component divided by the x-component, but we need to adjust for the appropriate quadrant.

Thus, the direction angle is arctan(123.79/57.17) + 180° = 67.7° (rounded to the nearest tenth of a degree), where we add 180° to account for the fact that the resultant force is in the third quadrant.

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John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Step-by-step explanation:

relax ! don't panic. just breathe deeply and then focus again.

a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.

this factor is given here as 3/2.

this is called common ratio, because of that building rule the ratio of 2 consecutive terms is

an/an-1 = factor = 3/2

the first term is 3.

so,

a1 = 3

a2 = a1×3/2 = 3×3/2 = 9/2

a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4

we see

an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)

and therefore

a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125

Answer:

x=54

Step-by-step explanation:

This is a vertical angle so 2x+2 must equal 3x-52

2x+2=3x-52

2x-3x=-52-2

-x=-54

x=54

Answer:

x=54

I checked on desmos

Answer:

The formula for the volume of a sphere is. V = (4/3)πr3. If the diameter is 18 inches, then the radius is 9 inches.

Option c) 15.72 is the correct answer for the upper control limit in this case.

In a c-chart, the control limits are calculated using the average number of defects per sample and the desired level of statistical control. The upper control limit (UCL) can be found by adding three times the square root of the average number of defects per sample to the average number of defects.

To calculate the average number of defects per sample, we divide the total number of defects (150) by the number of samples (20). In this case, the average number of defects per sample is 7.5 (150 / 20).

Next, we multiply the square root of the average number of defects per sample by 3 and add it to the average number of defects. This gives us the upper control limit (UCL).

Calculating the UCL: UCL = 7.5 + (3 * √7.5).

Evaluating the expression, we find that the upper control limit (UCL) is approximately 15.72.

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Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

Answer:

5*5*5=125

volume of cylinder=137.44

137.44+125=262.44

Step-by-step explanation:

option C is correct......

Answer:

For this case, the first thing we must do is define a variable:

h: number of hours worked.

We now write the equation that models the problem:

So, for 3 hours and 45 minutes we have:

Remember that we have the following conversion:

1 hour = 60 minutes

Substituting values:

Answer:

Crystal earns about:

m = $ 20,625

Step-by-step explanation:

Answer:

1) Required equation  

2)Crystal earns $20.625 in 3 hours and 45 minutes.

Step-by-step explanation:

Given : Crystal earns $5.50 per hour mowing lawns.

To find :

1)  Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.

It is given that Crystal earns $5.50 per hour mowing lawns.

Let m is the amount of money earned

and h is the number of hours spent

So, The equation form by the statement is

2) How much does Crystal earn if she works 3 hours and 45 minutes

1 hour=60 minutes

So, for 3 hours and 45 minutes

In 1 hour she earn $5.50

In 3.75 hours she earn  

Crystal earns $20.625 in 3 hours and 45 minutes.

Answer:

6 pounds

Step-by-step explanation:

16 boxes x 6 ounces = 96 ounces

96 ounces = 6 pounds

3x - y = 8

Step-by-step explanation:

Since, if a line having points represented by (x,y) is dilated about origin with a scale factor k,

Then the coordinates of the dilated line is obtained by the rule,

Here, line L is,

3x - y = 4

The x-intercept and y-intercept of line L are (4/3,0) and (0,-4) respectively,

If the line L is mapped onto line M by a dilation centered at the origin with a scale factor of 2,

Then by the above definition,

The points of the line M are,

(2×4/3, 2×0) and (2×0, 2×-4) ⇒ (8/3,0) and (0,-8)

Hence, the equation of line M passes through the points (8/3,0) and (0,-8)