The worlds smallest help is 3/4 in long. An adult western banded help is 7 1/3 times as long. How long is an adult male western banded geko

equation of line is y=5 parallel to y=11 and pass through (4,5).

A linear function is a sort of mathematical function that takes the form:

y = mx + b

where x is the input or independent variable, y is the output or dependent variable, m is the slope of the line, and b is the y-intercept (the point at which the line intersects the y-axis).

Given equation y=11

Slope of line, m=0

Let us assume a line y=mx+c passes through (4,5).

Substituting the values(4,5) in the equation

5=0×4+c

c=5

As the line is parallel to y=11, slope will be same.

y=0m+5

y=5

Hence, equation of line is y=5 parallel to y=11 and pass through (4,5).

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The complete question is:

Find a straight line which is 6) Parallel to y = 11. Through (4,5).

Answer:

3315

Step-by-step explanation:

delta math

In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Then the length of s is 3425.8 cm

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°.

We need to find length of S

From angle sum property the sum of three angles is 180 degrees.

∠S+∠T+∠U=180 degrees

∠S+49°+14°=180°

∠S+63°=180°

∠S=117°

Now use Sine rule

SinU/U=SinS/S

Sin14/900=sin117/S

S=900×Sin 117/sin 14

S=3425.8 cm

Hence,  the length of s is 3425.8 cm

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Answer:

the number of adult ticket sold is 570

Explanation:

Let x represent the number of adult ticket and y represent the number of child's ticket.

Given that he charges $5 for an adult's ticket and $2 for a child's ticket.

For one event, he sold 785 tickets.

So, we have;

he sold 785 tickets for $3280.

Then;

let us solve by substitution.

make y the subject of formula in equation 1 and substitute to equation 2;

substituting to equation 2;

Therefore, since x represent the number of adult tickets sold, then the number of adult ticket sold is 570

Answer:

5 kilograms

Step-by-step explanation:

1000 grams is equal to 1 Kilogram, so 5000 Grams is equal to 5 Kilograms

Answer:

The 95% confidence interval for the difference of means is (7.67, 16.33).

The estimate is Md = 12.

The standard error is sM_d = 2.176.

Step-by-step explanation:

We have to calculate a 95% confidence interval for the difference between means.

The sample 1 (this year's sales), of size n1=36 has a mean of 53 and a standard deviation of 12.

The sample 2 (last year's sales), of size n2=49 has a mean of 41 and a standard deviation of 6.

The difference between sample means is Md=12.

\(M_d=M_1-M_2=53-41=12\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{36}+\dfrac{6^2}{49}}\\\\\\s_{M_d}=\sqrt{4+0.735}=\sqrt{4.735}=2.176\)

The degrees of freedom are:

\(df=n_1+n_2-1=36+49-2=83\)

The critical t-value for a 95% confidence interval and 83 degrees of fredom is t=1.989.

The margin of error (MOE) can be calculated as:

\(MOE=t \cdot s_{M_d}=1.989 \cdot 2.176=4.328\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M_d-t \cdot s_{M_d} = 12-4.328=7.67\\\\UL=M_d+t \cdot s_{M_d} = 12+4.328=16.33\)

The 95% confidence interval for the difference of means is (7.67, 16.33).

Answer:A. 8.5 ft

Step-by-step explanation:

edge2021

The width of the footpath is 8.5 feet.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

given equation is :x² + y² = (r)²

We have for the pool:

x²  +  y²  = 2500      or   x²  +  y²  = (50)²

So, for the outside edge of the footpath

x²  +  y²  = 3422.25  or x² + y²  = (58.5)²

So, we find the radius of each circumference

r₁  = 50 feet

r₂ = 58,5  feet

58,5  - 50  =  8,5 feet

Thus, width of the footpath is 8.5 feet.

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To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

slope = \(\frac{5}{9}\) , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is

y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form

with slope m = \(\frac{5}{9}\) and y- intercept c = - 5

Answer:

the 3rd one is yes the rest are no

Step-by-step explanation:

Answer:

the first and fourth are correct, the second and third are not correct

Step-by-step explanation:

if you plug in the numbers as x and y, then you need to see if they add up to thirteen. So you would multiply the first number in each perenthesis by two and the second by nine, and then if when you add the two of them together, it is equal to the number after the equal sign (13, in this case), you would answer yes, but if it's not, you would answer no.

Step-by-step explanation:

Choose the correct inequality that matches the information on the sign. the answers are

s<60

Answer:

It would decrease

Step-by-step explanation:

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

The gradient of the graph which shows the variation in the mean temperature in the Northern Hemisphere is 0.01.

The mean global temperature change between 2006 and 2009 and 2010 and 2013 is 0.05.

The gradient (or slope) of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, (x1, y1) = (2006, 0.61) and (x2, y2) = (2008, 0.63). Plugging these values into the formula, we get:

m = (0.63 - 0.61) / (2008 - 2006)

m = 0.02 / 2

m = 0.01

Mean temperature change = (Temperature change 2006-2009 + Temperature change 2010-2013) / 2

Mean temperature change = (0.02 + 0.08) / 2

Mean temperature change = 0.10 / 2

Mean temperature change = 0.05

The mean global temperature change between the two periods is 0.05.

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If x is an integer, and

x + (x + 1) + … + 2020 + 2021 = 2021

then of course

x + (x + 1) + … + 2020 = 0

and we can write the left side as a sum,

\(\displaystyle \sum_{k=0}^n (x+k) = 0\)

with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that

\(\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0\)

Recall that

\(\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n\)

\(\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 +  \cdots + n = \frac{n(n+1)}2\)

Then

\(\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0\)

Solve for n :

(2020 - n) (n + 1) + n (n + 1) / 2 = 0

4040 + 4039 n - n² = 0

(n - 4040) (n + 1) = 0

⇒   n = 4040   or   n = -1

But we are taking the sum of a positive number of terms, so n = 4040.

Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.

Answer:

1/12

Step-by-step explanation:

P(red,red) = 3/9 x 2/8 or 1/3 x 1/4

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

Answer:

7 units

Step-by-step explanation:

It would be B)no.

Hope This Helps!

Answer:

Distribute the 3

Step-by-step explanation:

order of operations mate

Answer:

Step-by-step explanation:

Begin

If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.

<4 = 38                   z formation for parallel lines.

<7 = 52                   The angles are part of a right angle triangle. <7 +38 = 90

<2 = 52                   z formation of parallel lines (a rhombus has ll lines).

<3 = 38                   The diagonals of a rhombus bisect each other.

<5 = 38                   z formation for parallel lines.

<6 = 52                   The diagonals of a rhombus are angle bisectors.

<1 = 52                     The diagonals of a rhombus are angle bisectors.

5)

5.1

Given equation is

Replace n=1, we get

We know that a number divisible by one and itself is called a prime number.

Here 41 is divisible by 1 and 41 only.

Hence 41 is a prime number.

5.2.

Substitute n=37 in the equation of P, we get

The number 1373 is divisible by one and 1373 only.

So 1373 is a prime number.

Hence if n=37, then P is a prime number.

5.3.

We need to choose three numbers greater than 38.

Let n=39 and substitute in P, we get

The number 1523 is divisible by one and 1523.

Hence 1523 is a prime number.

Let n=40 and substitute in P, we get

The number 1601 is divisible by one and 1601.

Hence 1601 is a prime number.

Let n=41 and substitute in P, we get

The number 1681 is divisible by one and 1681.

Hence 1681 is a prime number.

We get that

When n=39,40 and 41 then P is prime.

5.4)

Yes, I believe that this conjecture is true.

we have chosen n=1, n=39 0dd number, n=40 even number, and n=41 prime number then we get the prime number for P.

So this conjectures is true for any value of n.

The equation P gives the prime number.

To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Answer:

13) x = 19

14) x = 12.4

Step-by-step explanation:

So, for 13, we know that the whole thing is 90 degrees, a right angle.

So, (4x - 17) + 31 = 90

Now, we'll subtract 31 from 90 to figure out the other angle.

4x - 17 = 59

Now, add seventeen to both sides to get 4x alone...

4x = 76

Divide each by four!

x = 19

Now, to check, we plug this x value into our first equation:

(4(19) - 17) + 31 = 90

(76 - 17) + 31 = 90

(59) + 31 = 90

90 = 90 :: true!

________________________________________

For 14, we know that the total must be 180, because it's a straight angle.

So, (5x + 22) + 96 = 180  
Again, subtract the known angle from each side:

5x + 22 = 84

Subtract 22 from each side to get the exponent by itself...

5x = 62

Divide each side by 5:

x = 12.4

Now, plug it in to check.....

(5*12.4) + 22 + 96 = 180

62 + 22 + 96 = 180

84 + 96 = 180

180 = 180 :: true!

Answer:

1) When r = 2, M = 20.

2) When M  = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

\(M = ar^3\)

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

\(M = ar^3\)

\(160 = a(4^3)\)

\(64a = 160\)

\(a = \frac{160}{64}\)

\(a = 2.5\)

So

\(M = 2.5r^3\)

1) work out the value of M when r=2

\(M = 2.5*2^3 = 2.5*8 = 20\)

When r = 2, M = 20.

2) work out the value of r when M=540

\(M = 2.5r^3\)

\(540 = 2.5r^3\)

\(r^3 = \frac{540}{2.5}\)

\(r^3 = 216\)

\(r = \sqrt[3]{216}\)

\(r = 6\)

When M  = 540, r = 6.

Answer:

132 square feet

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * b * h. B stands for base and h stands for height. 1/2 multiplied by the base, 10, is 5. We then multiply 5 by 12 which is 60. Let's look at the rectangle now. The area of a rectangle is length by width. The length is 12ft and the width is 6ft. 12 * 6 = 72. 72+60=132 square feet.