Need help answering

The angle of elevation of a wheelchair ramp with a slope of 1:12 is approximately 4.8 degrees.

The slope of a ramp is typically expressed as a ratio of the vertical rise to the horizontal run. In this case, the ratio is 1:12, which means that for every 1 unit of vertical rise, there is 12 units of horizontal run.

To find the angle of elevation, we can use trigonometry. The tangent of an angle is equal to the ratio of the opposite side (vertical rise) to the adjacent side (horizontal run). In this case, the tangent of the angle of elevation is 1/12.

To determine the angle, we can take the inverse tangent (arctan) of this ratio. Using a calculator or trigonometric tables, we find that arctan(1/12) is approximately 4.8 degrees.

Therefore, the angle of elevation of a ramp with a slope of 1:12 is approximately 4.8 degrees when rounded to the nearest tenth.

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Answer:

The possible length of the third side is greater that 4ft and less that 20 ft

4<x<20

Answer:

30 meters in ten second

Step-by-step explanation:

one second is 3 meters, and 10 second of 3 meters is 30 meters in 10 second.

this is the answer 9650

Step-by-step explanation:

kilogram 9.65

gram 9650

Answer: 9650 grams

Step-by-step explanation:

Direct conversion formula: 1 Kilogram / 1000 = 1 Grams

Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015,  standard deviation = 2.8812

B)  The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

              = 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

                   = 207.5385/26−1   ≈ 8.3015

iii) standard deviation = \(\sqrt{variance}\)

                                    = \(\sqrt{8.3015}\) = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

Answer:

strawberry-49%-51%

Step-by-step explanation:

The manager should offer strawberry ice

cream because 49% of the

customers surveyed like mint and 51%  of the customers like strawberry

Answer:

Answers Below. Have a wonderful day!

Step-by-step explanation:

They undergo internal fertilization: True Most reptiles undergo internal fertilization sexually when the sperm of a male reptile enters the cloaca of female reptiles, fertilizing the egg.

Their urine is concentrated: False Reptiles do not have the ability to produce liquid urine that is more concentrated than their own body fluid because they lack a structure in their nephron called the Loop of Henle.

They use their skin for gas exchange: False They cannot use their skin as an organ of gas exchange. Reptiles depend entirely on their lungs for this.

They have two-chambered hearts: False They have three-chambered hearts.

They are covered in scales: True All reptiles are covered in scales (snakes, lizards, turtles, etc.)

Answer:

1 and 5

Step-by-step explanation:

i did the test

The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

To find the extreme values of V, we need to take the derivative of V and set it equal to zero. So, let's begin:

\(V(x) = x(10-2x)(16-2x)\)
Taking the derivative with respect to x:
\(V'(x) = 10x - 4x^2 - 32x + 12x^2 + 320 - 48x\)
Setting V'(x) = 0 and solving for x:
\(10x - 4x^2 - 32x + 12x^2 + 320 - 48x = 0\\8x^2 - 30x + 320 = 0\)
Solving for x using the quadratic formula:
\(x = (30 ± \sqrt{(30^2 - 4(8)(320))) / (2(8))\\x = (30 ± \sqrt{(1680)) / 16\\x = 0.93 or x =5.07\)
So, the extreme values of V occur at x ≈ 0.93 and x ≈ 5.07. To determine whether these are maximum or minimum values, we need to examine the second derivative of V. If the second derivative is positive, then the function has a minimum at that point. If the second derivative is negative, then the function has a maximum at that point. If the second derivative is zero, then we need to use a different method to determine whether it's a maximum or minimum.

Taking the second derivative of V:
V''(x) = 10 - 8x - 24x + 24x + 96
V''(x) = -8x + 106

Plugging in x = 0.93 and x = 5.07:
V''(0.93) ≈ 98.36 > 0, so V has a minimum at x ≈ 0.93.
V''(5.07) ≈ -56.56 < 0, so V has a maximum at x ≈ 5.07.

Now, to interpret these values in terms of the volume of the box, we need to remember that V(x) represents the volume of a box with length 2x, width 2x, and height x. So, the maximum value of V occurs at x ≈ 5.07, which means that the volume of the box is greatest when the height is about 5.07 units. The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

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a) The extreme values of V are:

Minimum value: V(0) = 0

Relative maximum value: V(3) = 216

Absolute maximum value: V(4) = 128

b) The absolute maximum value of V at x = 4 represents the case where the box has a square base of side length 4 units, height 2 units, and width 8 units, which has a volume of 128 cubic units.

a) To find the extreme values of V, we first need to find the critical points of the function. This means we need to find where the derivative of the function equals zero or is undefined.

Taking the derivative of V(x), we get:

\(V'(x) = 48x - 36x^2 - 4x^3\)

Setting this equal to zero and solving for x, we get:

\(48x - 36x^2 - 4x^3 = 0\)
4x(4-x)(3-x) = 0

So the critical points are x = 0, x = 4, and x = 3.

We now need to test these critical points to see which ones correspond to maximum or minimum values of V.

We can use the second derivative test to do this. Taking the derivative of V'(x), we get:

\(V''(x) = 48 - 72x - 12x^2\)

Plugging in the critical points, we get:

V''(0) = 48 > 0 (so x = 0 corresponds to a minimum value of V)
V''(4) = -48 < 0 (so x = 4 corresponds to a maximum value of V)
V''(3) = 0 (so we need to do further testing to see what this critical point corresponds to)

To test the critical point x = 3, we can simply plug it into V(x) and compare it to the values at x = 0 and x = 4:

V(0) = 0
V(3) = 216
V(4) = 128

So x = 3 corresponds to a relative maximum value of V.
b) In terms of the volume of the box, the function V(x) represents the volume of a rectangular box with a square base of side length x and height (10-2x) and width (16-2x).
The minimum value of V at x = 0 represents the case where the box has no dimensions (i.e. it's a point), so the volume is zero.
The relative maximum value of V at x = 3 represents the case where the box is a cube with side length 3 units, which has a volume of 216 cubic units.
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Answer:

A) How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.  

Answer: If David’s dad wanted to cover the rectangular side of the tent, he would need to multiply the sides together. Using the formula A = l x w, I can solve for 6 and 9. 9 x 6 = 54, so 54 = 6 x 9.  

B) If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need?  Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.

Answer: If he wanted to re-cover the whole tent, he would need the product of the rectangular side, the triangular side, and the bottom side. Using A = l x w, I can solve for each side of the tent, For the rectangular side you multiply six by nine, then multiply two by the product. 6 x 9 = 54 x 2 = 108. For the triangular side, I need to multiply six times seven, 6 x 7 = 42. For the bottom, I need to multiply seven times nine, 7 x 9 = 63. Finally, I need to add them all up. 108 + 42 + 63 = 213 ft².                    

C) What is the volume of the tent?  Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism.) V=Bh, where B = area of one of the triangular bases

Answer: I need to find the volume of the tent, so I need to find the formula which is V = B x h. The base is 63, because I needed to find the area of one of the triangular bases, so I multiplied 7 x 9 = 63. The height is 6, so I need to multiply 63 x 6. When I multiply 63 x 6, I get the product of 378, so the volume of the tent is 378 ft³.

The answer is 5 enjoy the answer!

(a) The monthly payment for a 36-month plan is $704.41, and for a 60-month plan is $488.08.

(b) The interest charges for the 36-month plan are $1,459.07, and for the 60-month plan are $3,369.10.

For a)

To calculate the monthly payment for a car loan, we need to use the formula for monthly payments:

M = \(P[r(1+r)^n / ((1+r)^n - 1)]\)

where M is the monthly payment, P is the principal (the loan amount), r is the monthly interest rate (the annual interest rate divided by 12), and n is the number of months over which the loan is to be repaid.

For the 36-month plan, the principal is 75% of $28,000, or $21,000. The monthly interest rate is 6% / 12, or 0.005. The number of months is 36. Plugging in these values, we get:

M = $\(21,000[0.005(1+0.005)^{36} / ((1+0.005)^{36} - 1)]\) = $704.41

For the 60-month plan, the principal, monthly interest rate, and a number of months are the same, but we change the number of months to 60:

M = $21,000[0.005\((1+0.005)^{60\) / (\((1+0.005)^{60\) - 1)] = $488.08

Therefore, the monthly payment for a 36-month plan is $704.41, and for a 60-month program is $488.08.

For b)

To calculate the total interest charges for the loan, we need to subtract the principal (the amount of the loan) from the total amount paid and round to the nearest cent:

For the 36-month plan, the total amount paid is $25,459.07 (36 x $704.41), so the interest charges are:

$25,459.07 - $21,000 = $4,459.07, rounded to $1,459.07

For the 60-month plan, the total amount paid is $29,284.80 (60 x $488.08), so the interest charges are:

$29,284.80 - $21,000 = $8,284.80, rounded to $3,369.10

Therefore, the interest charges for the 36-month plan are $1,459.07, and the 60-month plan are $3,369.10.

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Answer:

4 , 2, 8, 4 ..............

Answer:

The Value of 9a+6b is 27. and the value of 4x+3y is 30.

Explanation

1)

3a+2b=9

multiplying both by side by 3

or, 3×( 3a+2b)=3×9

Hence, 9a+6b=27

2)

8x+6y=60

Dividing both by side by 2

or, (8x+6y)/2 = 60/2

Hence, 4x+3y=30

Answer:

(C)  b = 0.

Step-by-step explanation:

Slope = (b - 5) / (3 - (-2)) = -1

(b - 5)/ 5 = -1

b - 5 = -5

b = -5 + 5 = 0.

Answer:

Step-by-step explanation:

The approximate proportion of lightbulb replacement requests numbering between 37 and 47 can be determined using the empirical rule. The proportion is approximately 0.3413.

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case, the mean is 37 and the standard deviation is 10. To find the proportion of lightbulb replacement requests between 37 and 47, we can use the empirical rule:

Proportion = P(37 ≤ X ≤ 47) ≈ P(mean - 1 standard deviation ≤ X ≤ mean + 1 standard deviation)

Proportion ≈ P(37 ≤ X ≤ 47) ≈ P(27 ≤ X ≤ 47)

Using the empirical rule, we know that approximately 68% of the data falls within one standard deviation of the mean. Therefore, the proportion of requests between 27 and 47 is approximately 68%.

However, we need to find the proportion between 37 and 47, so we subtract the proportion of requests below 37. Since the distribution is symmetric, this proportion is the same as the proportion above 47.

Proportion = 68% - (100% - 68%)

Proportion ≈ 0.68 - 0.32

Proportion ≈ 0.36

Rounding the proportion to four decimal places, we get approximately 0.3413.

The approximate proportion of lightbulb replacement requests numbering between 37 and 47, based on the empirical rule, is 0.3413. This means that around 34.13% of the daily requests fall within this range.

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Answer:

Brainliest

Step-by-step explanation:

The one you chose is correct

Answer:

4) a = 6

5) m = 1

Step-by-step explanation:

4) use FOIL, First Inside Outside Last, when you cross multiply.

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

\((a+4)(a-4) = (a-1)(a-2)\)

I'm going to do the left side first.

\((a+4)(a-4)\\a^2-4a+4a-16\\a^2-16\)

Now I'm going to do the right side.

\((a-1)(a-2)\\a^2-2a-1a+2\\a^2-3a+2\)

Next I'm going to rewrite back as the equation and solve for a.

\(a^2 - 16 = a^2 -3a +2\\a^2 - a^2 -16 = a^2-a^2-3a+2\\-16-2=-3a+2-2\\-18=-3a\\-18/-3=-3a/-3\\a=6\)

5) I'm going to use distributive propoerty when I cross multiply. Then I will setup an equation like number 4 and solve for m.

\(\frac{5m-2}{3}=\frac{8-3m}{5} \\\)

\(5(5m-2)=3(8-3m)\\25m-10=24-9m\\25m+9m-10=24-9m+9m\\34m-10=24\\34m-10+10=24+10\\34m=34\\34m/34=34/34\\m=1\)

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:69.9245

Step-by-step explanation:type it into a caculator

Answer: LOOK BELOW

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5.35 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 5.35 is 100%, so we can write it down as 5.35=100%.

4. We know, that x is 13.07% of the output value, so we can write it down as x=13.07%.

5. Now we have two simple equations:

1) 5.35=100%

2) x=13.07%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

5.35/x=100%/13.07%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13.07% of 5.35

5.35/x=100/13.07

(5.35/x)*x=(100/13.07)*x       - we multiply both sides of the equation by x

5.35=7.6511094108646*x       - we divide both sides of the equation by (7.6511094108646) to get x

5.35/7.6511094108646=x

0.699245=x

x=0.699245

now we have:

13.07% of 5.35=0.699245

The largest possible value x could take given that it must be an integer for x < 2 is 1.

The key distinction between an inequality and an equation is that an inequality describes a connection of inequality between two expressions, whereas an equation expresses equality between two expressions. In other words, an inequality shows that one expression is more or less than the other expression, but an equation shows that two expressions have the same value.

The highest number x might have is 1 if x must be an integer and x 2. This is due to the fact that any number higher than one would break the inequality x 2, and any number between one and two that is not an integer would also violate the stipulation that x must be an integer.

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Answer:

P = 0.2517

Step-by-step explanation:

In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)

P (at least one woman) = 6C1 * 9C4 / 15C5

we know that nCr = n! / (r! * (n-r)!)

replacing we have:

6C1 = 6! / (1! * (6-1)!) = 6

9C4 = 9! / (4! * (9-4)!) = 126

15C5 = 15! / (5! * (15-5)!) = 3003

Therefore it would be:

P (at least one woman) = 6 * 126/3003

P = 0.2517

That is, approximately 1 out of 4 women.

Answer:

domain { -8,-5}

Range { -7,-1,1}

Step-by-step explanation:

The domain is the input values

{ -8,-5}

We do not list repeated values

The range is the output values

{ -7,-1,1}

Answer: domain { -8,-5}

Range { -7,-1,1}

Step-by-step explanation:

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Answer:

the answer is A since it forms a pattern :>

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ