do positive numbers have negative square roots?

The values of the missing sides and angles of the triangle using sine rule are;

DE = 18.3

<D = 84°

EF = 20.8

Sine rule is a method that is used to find the missing angles and sides of triangles.

Thus, it is expressed as;

a/sin A = b/sin B = c/sin C

Thus;

12/sin 35 = DE/sin 61

DE = 12(sin 61)/sin 35

DE = 18.3

Sum of angles in a triangle is 180°. Thus;

<D = 180 - (61 + 35)

<D = 84°

Similarly;

EF/sin 84 = 12/sin 35

EF = 12(sin 84)/sin 35

EF = 20.8

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Answer:

s = \(\sqrt{81\\\) in.

Step-by-step explanation:

The last two answer don't fit into the given equation, leaving the first two.  For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.

If you're at all curious about what the square root of 81 is, it's 9.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

\( s = \sqrt{81} \: in\)

Step-by-step explanation:

\(\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in\)

The statement "We cannot make a direct comparison between fit l and fit 2 by looking at AlCc" is incorrect because AICc is used to make a direct comparison between models.

According to the given information, the variables of interest are the wage, which is real weekly wages in dollars, and educ, which refers to years of education. The sample consists of weekly wages for 2000 US male workers taken from the Current Population Survey in 1988. The models fit1 and fit2 are fitted using the data from uswages, and we are required to determine the correct statement based on AICc (fit1, fit2).Answer: The lowest AICc is reported for fit2. Hence fit2 is better than fit1.Akaike information criterion (AIC) and AIC corrected (AICc) are used to measure the quality of fit of a statistical model. The best model is the one with the smallest AIC or AICc value. Therefore, the lowest AICc value is associated with the best model. Since the question's models are fit1 and fit2, the statement that the lowest AICc is reported for fit2 is correct. Hence, fit2 is better than fit1.The model's log-likelihood is used to calculate the AIC and AICc. AIC is defined as AIC = 2k - 2ln(L), where k is the number of parameters in the model and L is the likelihood. AICc adjusts AIC for small sample sizes and is defined as AICc = AIC + (2k^2 + 2k)/(n - k - 1), where n is the sample size.

We cannot compare the AICc values of models with different sample sizes using AICc, but we can compare the AIC values. However, the AICc is the most reliable criterion for small sample sizes. Therefore, the statement "As the sample size is large, we need to use AIC instead of AICc" is incorrect. Additionally, the statement "The likelihood for fit 2 is smaller than fit l" is incorrect because AIC does not depend on the likelihood. Finally, the statement "We cannot make a direct comparison between fit l and fit 2 by looking at AlCc" is incorrect because AICc is used to make a direct comparison between models.

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Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Explanation:

AD = 15, DB = 12, AE = 10, and EC = 8

To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf

To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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Answer: 19

Step-by-step explanation:

Answer: 16 miles

Step-by-step explanation:

Mom : 9 miles

You   : Also 9 miles and 7 more miles which you will add 9 + 7 = 16 miles in total that you walked

Answer:

B) x = √118 mi

Step-by-step explanation:

This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

Step 1:  Plug in x and √26 for a and b and 12 for c and simplify:

x^2 + (√26)^2 = 12^2

x^2 + 26 = 144

Step 2:  Subtract 26 from both sides to isolate x^2:

(x^2 + 26 = 144) - 26

x^2 = 118

Step 3:  Take the square root of both sides to isolate x:

√(x^2) = √118

x = √118 mi

The probability in each case scenario as described in the task content are as follows;

a) P(a) = 7/16

b) P(b) = 7/16

c) P(c) = 7/16

d) P(d) = 7/16

Given: There are 14 freshmen and 18 sophomore students and the students were selected with replacement.

a) The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;

P(a) = 14/32 = 7/16.

b) The probability that the 2nd student was a

freshman if the first student was a sophomore is;

P(b) = 14/32 = 7/16.

c). The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;

P(c) = 14/32 = 7/16.

d) The probability that the 2nd student was a

freshman if the first student was a sophomore is;

P(d) = 14/32 = 7/16.

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Answer:

It is D

Step-by-step explanation:

because a repeating decimal that has a non - zero value, but a terminating decimal ends in a zero.

The radius of the oatmeal container is 0.2 inches.

The surface area of the plastic is 0.08π square inches

The base and lid are made of plastic and have a radius of R.

The base and lid have a combined surface area of:

πr² + πr² = 2πr² square inches

The total surface area of the oatmeal container is 40 square inches.

The surface area of the cardboard is 16πr square inches and the surface area of the plastic is 2πr² square inches.

Thus, we have the equation:

40 = 16πr + 2πr²

We can solve for R as follows:

16πr + 2πr² = 40

2πr^2 + 16πr - 40 = 0

2πr^2 + 20πr - 4πr - 40 = 0

20r(πr + 2) - 4(πr + 2) = 0

(20r - 4)(πr + 2) = 0

20r - 4 = 0 or πr + 2 = 0

20r = 4 or πr = -2

r = 0.2

Thus, the radius of the oatmeal container is 0.2 inches.

The surface area of the plastic is 2πr² = 2π(0.2)² = 0.08π square inches

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Answer:

4m-15 is the answer

Step-by-step explanation:

Hope this helps!!

1) 2 3÷4 = 11÷4

hence, 11÷8 = 1.37 .

2)  4 2÷9 =38÷9 .

hence, 38÷18 = 2.11 .

simplify  2 3÷4  = 11÷4

and

4 2÷9 = 38÷9.

now 1/2 of 11/4 = 11/8 = 1.37.

1/2 of 38/9 = 38/18 = 2.11 .

The angle x of the triangle is 60 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is equals to 180 degrees.

A triangle can be classified base on the sides and angles. For example equilateral triangle, scalene triangle and isosceles triangle.

Therefore, the angle x of the triangle can be found as follows:

x + x + x = 180

3x = 180°

divide both sides of the equation by 3

3x / 3 = 180 / 3

x = 180 / 3

x = 60 degrees.

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Answer:

the person below or above me is the answer. Yeah

Step-by-step explanation:

The length of VZ (distance across the lake) is 3222 feet.

Properties of similar triangle.

Similar triangles are two or more triangles which have common corresponding properties. Thus the corresponding sides or angles can be compared.

But note that similarity of given shapes does not imply that they are congruent i.e equal in all respect.

To determine the distance across the lake, Jarvis needs to compare the similar triangles ΔXYW and ΔAZV.

Thus on comparing the length of corresponding sides of the triangles, it can be deduced that:

WY/ VZ = XY/ XZ

1074/ VZ = 2148/ 6444

VZ = (1074*6444)/ 2148

     = 3222

VZ = 3222 feet

Therefore, the distance across the lake i.e VZ is 3222 feet.

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The simplified form of the expression (2m^2 + 12m + 16) / (m^2 + 5m + 3) ÷ (-3m^2 + 11m - 4) / (6m^2 + 7m - 3) is (8m + 4) / (2m + 1).

To simplify the given expression, we start by factoring the numerators and denominators separately. The numerator (2m^2 + 12m + 16) factors into 2(m^2 + 6m + 8), and the denominator (m^2 + 5m + 3) factors into (m + 3)(m + 1). Similarly, the numerator (-3m^2 + 11m - 4) factors into -(3m - 1)(m - 4), and the denominator (6m^2 + 7m - 3) factors into (3m - 1)(2m + 3).

Next, we can simplify the expression by canceling out the common factors between the numerators and denominators. The (m - 4) factor cancels out, as well as the (3m - 1) factor. After canceling these factors, we are left with (2(m^2 + 6m + 8)) / ((m + 3)(m + 1)) ÷ (-(2m + 3)) / ((2m + 3)(m + 1)).

Now, we can simplify further by canceling out the common factor (2m + 3) from both the numerator and denominator. After canceling, we obtain (2(m^2 + 6m + 8)) / ((m + 3)(m + 1)) ÷ -1 / (m + 1). Simplifying the negative sign, we have (2(m^2 + 6m + 8)) / ((m + 3)(m + 1)) ÷ -(m + 1). Finally, we can simplify the expression by dividing both the numerator and denominator by (m + 1), resulting in (8m + 4) / (2m + 1).

Therefore, the simplified form of the given expression is (8m + 4) / (2m + 1).

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Answer:

000000.10

Step-by-step explanation:

Answer:

-13x + 14

Step-by-step explanation:

Answer:

change format

Step-by-step explanation:

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Answer:

11.4

Step-by-step explanation:

Split the area into a rectangle and a right triangle, and since the base of the triangle is 14 - 7 = 7, use Pythagorean Theorem:

7^2 + 9^2 = x^2

Solve:

49 + 81 = x^2

130 = x^2

x ≈ 11.4

Answer:

$324

Step-by-step explanation:

8.10 x 40 is 324, meaning she'll have 324 dollars in the 40 hours of working.

Answer:

324

Step-by-step explanation:

If Eve is paid 8.10 an hour, and she works for 40 hours, then it will be 8.10 x 40 = 324

The other x-intercept of the given ellipse cannot be determined with the information provided. The equation of the ellipse depends on the lengths of the semi-major and semi-minor axes, which are not specified. Therefore, there are multiple ellipses that can satisfy the given conditions, resulting in different values for the other x-intercept.

To find the x-intercepts of the ellipse, we need to determine the equation of the ellipse first. The standard form equation of an ellipse with foci at  (h, k ± c) and x-intercepts (h ± a, k) is given by:

((x - h)² / a²) + ((y - k)² / b²) = 1

Where (h, k) represents the center of the ellipse, a is the semi-major axis length, b is the semi-minor axis length, and c represents the distance from the center to each focus.

In this case, the center of the ellipse is at (h, k) = (1.5, 1), and the distance between the center and each focus is given by c = 2.

Substituting these values into the equation, we have:

((x - 1.5)² / a²) + ((y - 1)² / b²) = 1

Now, since one of the x-intercepts is at the origin (0, 0), we can substitute these values into the equation to solve for a and b:

((0 - 1.5)² / a²) + ((0 - 1)² / b²) = 1

(2.25 / a²) + (1 / b²) = 1

Simplifying this equation, we get:

2.25 / a² + 1 / b² = 1

Now, we need to find the other x-intercept, which means finding the value of x when y is 0. Substituting y = 0 into the equation, we have:

((x - 1.5)² / a²) + ((0 - 1)² / b²) = 1

(x - 1.5)² / a² + 1 / b² = 1

Since one of the x-intercepts is at the origin, we know that x = 0 satisfies this equation:

(-1.5)² / a² + 1 / b² = 1

2.25 / a² + 1 / b² = 1

Now we have two equations:

2.25 / a² + 1 / b² = 1  (Equation 1)

2.25 / a² + 1 / b² = 1 (Equation 2)

Both equations are the same, so we can combine them:

2.25 / a² + 1 / b² = 1

Since both equations are identical, there are infinite solutions for a and b that satisfy this equation. Therefore, there is no unique value for the other x-intercept of the ellipse.

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The complete question is :

An ellipse has foci at (0,2) and (3,0). The ellipse has two x-intercepts, one of which is the origin. What is the other x-intercept?

22 is an outlier in the given data since the difference between this value and other values in the data set is the largest.

Visually, we can see that 22 is an outlier in the given data since the difference between this value and other values in the data set is the largest

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Answer:

D 22

Step-by-step explanation:

Answer: Start with the midpoint, G(10,8), and move your pencil point 4 units to the left and  1 unit up to reach the endpoint M(6,9).  To find the other end point, start with the midpoint G(10,8) again, but now move your pencil point 4 units to the right and 1 unit down.  Result:  N(14,7).

Check:  find the mean of the 2 x-coordinates:  Does (6+14)/2 = 10, the x-coordinate of the midpoint?  YES.  Does (9+7)/2 = 8, the y-coord. of the midpoint?  YES.

The desired other end point is therefore N(14,7).

Explanation:  the standard coordinate plane, what is the midpoint of a line segment that goes from the point (3, 5) to the point (7, 9)?. Possible Answers: (–2, –2). (7, 5).

Answer:70

Step-by-step explanation:

10 timeS 7 is 70

Answer:

The figure's area is: 70mm

Step-by-step explanation:

This figure is a parralelogram and the calculation for a parralelogram is the same as for a rectangle:

10 × 7 = 70

70mm

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The polynomial that models the data is:

B. C(x) = 0.0034x^4 - 0.167x^3 + 2.76x^2 - 16.91x + 38.87

With seven data points at our disposal, it is possible to utilize a polynomial of degree six, which can precisely represent the given data.

However, using a simpler model could be advantageous when applied to other datasets.

The provided information can be utilized to formulate a system of equations using a fourth-degree polynomial. The following data will serve as each equation:

• At x=6: the output value is 3.88,

• At x=8: the output value is 6.48,

• At x=10: the output value is 9.37

• At x=12: the output value is 10.42,

• At x=14: the output value is 8.79,

• At x=16: the output value is 4.96,

• At x=18: the output value is 0.69,

The problem's solution can be attained through utilizing matrix algebra.

a = 0.0034,

b = -0.167,

c = 2.76,

d = -16.91,

e = 38.87

This results in the following expression that represents the data:

C(x) = 0.0034x^4 - 0.167x^3 + 2.76x^2 - 16.91x + 38.87

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Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

The angle between a vector and the positive direction of the x-axis can be found using the inverse tangent function, also known as arctan. The formula for finding the angle θ between a vector (x, y) and the positive x-axis is given by:

θ = arctan(y/x)

In this case, the vector is i + √5j, so x = 1 and y = √5. Plugging these values into the formula, we get:

θ = arctan(√5/1) = arctan(√5)

The arctan function returns the angle in radians, so we'll need to convert it to degrees. To do this, we multiply by 180/π:

θ = arctan(√5) * (180/π) = 63.43 degrees (rounded to two decimal places)

So, Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

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The covered employee worked for 9 hours of overtime pay for the month.

In this problem, a covered employee who is paid monthly works 38, 42, 35 and 47 hours during 4 consecutive weeks. We need to find out how many hours of overtime pay is he required to receive for the month.

Let us consider, if the employee works for 38 hours, then it is considered to be regular hours.

If the employee works for more than 40 hours, then it is considered to be overtime hours.

Week 1 : Regular hours = 38, Overtime hours = 0

Week 2 : Regular hours = 42, Overtime hours = 2

Week 3 : Regular hours = 35, Overtime hours = 0

Week 4 : Regular hours = 40, Overtime hours = 7

Total regular hours = 38 + 42 + 35 + 40 = 155

Total overtime hours = 0 + 2 + 0 + 7 = 9

Thus, the covered employee worked for 9 hours of overtime pay for the month.

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