15.21 x 0.72 can somebody help its an assignment

here u go...........

Answer:

The surface area of door is 33 680 cm².

Step-by-step explanation:

Given that the surface area of a cuboid which is the 3D of rectangle is :

\(s.a = 2(l \times w) + 2(l \times h) + 2(w \times h)\)

\(let \: l = 80 \\ let \: w = 3 \\ let \: h = 200\)

\(s.a = 2(80 \times 3) + 2(80 \times 200) + 2(3 \times 200)\)

\(s.a = 2(240) + 2(16000) + 2(600)\)

\(s.a = 480 + 32000 + 1200\)

\(s.a = 33680 \: {cm}^{2} \)

Answer:

-9.25

Step-by-step explanation:

-5.75 - 3.5

-9.25

\(\implies {\blue {\boxed {\boxed {\pink {\sf { \:- 9 \frac{1}{4} (or) \:- 9.25 }}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( - 5 \frac{3}{4} - 3 \frac{1}{2} \)

➺\( \: \frac{ - 23}{4} - \frac{7}{2} \)

➺\( \: \frac{ - 23}{4} - \frac{7 \times 2}{2 \times 2} \)

➺\( \: \frac{ - 23 - 14}{4} \)

➺\( \frac{ - 37}{4} \)

➺\( \: - 9 \frac{1}{4} \)

➺\( \: -9.25\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

-5/11

Step-by-step explanation:

They are both divisible by 3.

15 becomes simplified to 5 and 33 becomes simplified to 11.

Then, just cancel off the 'z's from both sides and then you get -5/11.

Answer:

144\(\pi\)

Step-by-step explanation:

Volume of a Sphere :

V = \(\frac{4}{3}\)\(\pi\)\(r^{3}\)

V = \(\frac{4}{3}\)\(\pi\)\(6^{3}\)

V = \(\frac{4}{3}\)(216)\(\pi\) (216 times 4, divided by 3)

V  = 288\(\pi\)

Now divide by 2, it's only half of a sphere.

The calculated equation that represents a line parallel to y = -2x + 4 is (c) -2x - y = 3.

The equation of a line that is parallel to y = -2x + 4 will have the same slope as -2 since parallel lines have the same slope.

Therefore, we need to look for an equation that has a slope of -2.

(a) 1/2x + y = 1 has a slope of -1/2, which is not equal to -2. Thus, it is not parallel to y = -2x + 4.

(b) -2x + y = 8 has a slope of 2, which is not equal to -2. Thus, it is not parallel to y = -2x + 4.

(c) -2x - y = 3 can be rearranged to y = -2x - 3, which has a slope of -2, so it is parallel to y = -2x + 4.

(d) -1/2x + y = 5 has a slope of 1/2, which is not equal to -2. Thus, it is not parallel to y = -2x + 4.

Therefore, the equation that represents a line parallel to y = -2x + 4 is (c) -2x - y = 3.

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The first entry is 94 + 26 = 120 since there are 26 entries after the 27th entry.

A sequence is a list of items that is in order in mathematics (or events). It has elements, just like a set (also called elements or terms). The length of the sequence is the total number of ordered items (potentially infinity).

Between the 27th and 94th entries, there are 67-1 = 66 entries, or 94 - 27 = 67. Entry 93 is 28, entry 92 is 29, etc., since entries before to the 94th entry were likely one greater than ones after it. Given that E93's value is 28, which is the average of E92 and E94, this makes sense.

If entry number 27 is 94, entry number 26 must be 95, entry number 25 must be 96, etc. The first entry is 94 + 26 = 120 since there are 26 entries after the 27th entry.

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Answer:

120

Step-by-step explanation:

94 - 27 = 67, so between the 27th and 94th entries, there are 67-1 = 66 entries. The entries before the 94th entry were probably one greater than the entry after, so entry 93 is 28, entry 92 is 29, etc. This makes sense because the average of E92 and E94 is 28, which is the value in E93.

If the 27th entry is 94, then the 26th entry must be 95, the 25th entry must be 96, etc. From the 27th entry, there are 26 entries ahead of it, so the first entry is 94 + 26 = 120. The first entry is 120.

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

\(a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8\)

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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9 + x

sum = addition so the answer would be 9 + ×

Answer:

1

Step-by-step explanation:

Answer:

2 is 9

Step-by-step explanation:

We start by rearranging the given differential equation into the standard form of a separable differential equation:

\(\frac{dh}{dt} = (\frac{-R}{v}) (\frac{h}{R+h})\)

=> \((\frac{v}{R+h)} \frac{dh}{h} = \frac{-R}{v} dt\)

Integrating both sides with respect to their respective variables, we get:

\(ln|h+R| - ln|R| = (\frac{-R}{v}) t + C\)

where C is the constant of integration. Simplifying, we have:

\(ln|h+R| = (\frac{-R}{v})t + ln|CR|\)

where CR is a positive constant obtained by combining R and the constant of integration.

Taking the exponential of both sides, we get:

\(|h+R| = e^{(\frac{-R}{v}) t} + ln|CR|)\)

=> \(|h+R| = e^{(\frac{-R}{v}) t} CR\)

We take cases for h+R being positive and negative:

Case 1: h+R > 0

Then we have:  \(|h+R| = e^{(\frac{-R}{v}) t} CR\)

\(h = (e^{(\frac{-R}{v}) t} CR) - R\)

Case 2: h+R < 0

Then we have:

\(|h+R| = e^{(\frac{-R}{v}) t} CR\)

=>\(h =- ((e^{(\frac{-R}{v}) t} CR)+R\)

Therefore, the general solution to the given differential equation is:

\(h(t)=e^{(\frac{-R}{v}) t} CR)-R\) if h+R > 0,

\(- (e^{\frac{-R}{v} }t ) CR)+R\)if h+R < 0}

where CR is a positive constant determined by the initial conditions.

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Answer:

An integer is any rational number without a decimal or fraction. This includes negative numbers, and 0. But decimals and fractions are not integers.

Step-by-step explanation:

Brainliest, please!

Answer:

m∠ABC=42°

Step-by-step explanation:

m∠ABD=70°

⇒m∠ABD=m∠ABC+m∠CBD

⇒70°=(3x+33°)+(5x+13°)

70°=8x+46°

70°-46°=8x

24°=8x⇒x=3°

x=3°

Then,

m∠ABC=3x+33°

put x=3°, we get

m∠ABC=3×3°+33°=9°+33°

m∠ABC=42°

To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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If |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°. then the

|q – r| will be 18.0

To find |q - r|, we need to subtract the complex numbers q and r after which discover the magnitude (or absolute value) of the end result.

First, we want to express q and r in rectangular form, which means that finding their actual and imaginary additives:

For q, we've:

|q| = 5 at an perspective of 45°

Re(q) = |q| cos(45°) = five cos(45°) = 5/√2

Im(q) = |q| sin(45°) = 5 sin(45°) = 5/√2

So q = (5/√2) + (5/√2)i

For r, we have:

|r| = 16 at an angle of 300°

Re(r) = |r| cos(300°) = 16 cos(300°) = sixteen(-√3/2) = -8√three

Im(r) = |r| sin(300°) = 16 sin(300°) = -8

So r = -8√three - 8i

Now we are able to discover q - r by using subtracting the actual and imaginary additives:

q - r = (5/√2) + (5/√2)i - (-8√3 - 8i)

= (5/√2) + 8√3 + (5/√2 + 8)i

To discover |q - r|, we want to take the importance of this complex number:

|q - r| = √[(5/√2 + 8√3)² + (5/√2 + 8)²]

= √[25/2 + 80√3 + 192 + 50/2 + 40 + 64]

= √[125/2 + 80√3 + 256]

= √[625/4 + 320√3 + 1024]

= √[(25/2 + 16√3)²]

= 25/2 + 16√3

≈ 18.0

Hence, |q - r| is about equal to 18.0.

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the equation of the sphere passing through points P(-6, 1, 4) and Q(8, -5, 5), with its center at the midpoint of PQ, is \( (x - 1)^2 + (y + 2)^2 + (z - 4.5)^2 = 58.25 \).

The midpoint of a line segment can be found by taking the average of the coordinates of the endpoints. So, let's find the midpoint M of PQ:

\( M = \left(\frac{{-6 + 8}}{2}, \frac{{1 + (-5)}}{2}, \frac{{4 + 5}}{2}\right) = (1, -2, 4.5) \)

Now that we have the center of the sphere, we can use the center-radius form of the equation of a sphere, which is given by:

\( (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2 \)

where (h, k, l) represents the center of the sphere and r represents the radius.

To find the radius, we can use the distance formula between the center M and either of the given points P or Q. Let's use the distance between M and P:

\( r = \sqrt{(1 - (-6))^2 + (-2 - 1)^2 + (4.5 - 4)^2} = \sqrt{49 + 9 + 0.25} = \sqrt{58.25} \)

Now we have all the necessary values to write the equation of the sphere:

\( (x - 1)^2 + (y + 2)^2 + (z - 4.5)^2 = \sqrt{58.25}^2 \)

Simplifying further, we get:

\( (x - 1)^2 + (y + 2)^2 + (z - 4.5)^2 = 58.25 \)

Therefore, the equation of the sphere passing through points P(-6, 1, 4) and Q(8, -5, 5), with its center at the midpoint of PQ, is \( (x - 1)^2 + (y + 2)^2 + (z - 4.5)^2 = 58.25 \).

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Answer:

15

Step-by-step explanation:

6x+11 > 7x-2

2+11 >7x-6x

13>x

15 is more than 13 which does not satisfy the inequality.

X has to be less than 13 and cannot even equal 13 as that is not the sign

Answer:

X and Y = 4

Well, it's a right triangle. The red box means 90 degree angle. So I would say that all the sides are equal.

HOPE THIS HELPS YOU...HAVE A NICE DAY...

Answer:

On average, you can expect to win $21.00 in this scenario.

Step-by-step explanation:

The expected value of this scenario can be calculated as follows:

Expected value = (Probability of Heads x Payoff of Heads) + (Probability of Tails x Payoff of Tails)

The probability of getting Heads or Tails is both 0.5 (assuming a fair coin). Therefore:

Expected value = (0.5 x $179) + (0.5 x -$137)

Expected value = $89.50 - $68.50

Expected value = $21.00

Therefore, on average, you can expect to win $21.00 in this scenario. However, it's important to note that this is just an average and that in any given flip, you could win or lose the full amount.

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Answer:

Step-by-step explanation:

S=45(1.35)=$60.75

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

The value of a from the equation  5y = x + 47 with slope 1/5 is 11.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two separate locations on a line is calculated using the slope of a line formula.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates of a line in order to determine its slope.

The slope of the line = 1/5

The line passes through (8,a) and (3,10)

The equation of the line is

y = mx + c

where m is slope and c is y-intercept

or , y = x/5 + c

putting (3,10) in the line

10 = 3/5 + c

⇒ c = 47/5

The equation of the line is y = x/5 + 47/5

or, 5y = x + 47

putting (8,a) in the line

5a = 8 + 47

⇒ a = 55/5 = 11

The value of a from the equation  5y = x + 47 with slope 1/5 is 11.

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Answer:

No it's not

Step-by-step explanation:

In a right triangle the longest side is always the Hypotnuse. With legs a and b and Hypotnuse c, all right triangle follow the Pythagoream Theorem (a^2+b^2=c^2)

If this is a right triangle then it should also follow this rule.

8^2=4^2+6^2

64=16+36

64≠52

So this isn't a right triangle

We can find the solution to the answer by using the Pythagorean Theorem.

a² + b² = c²

4² + 6² = 8²

16 + 36 = 52

8² = 64

52 ≠ 64.

Since 4² + 6² does not equal 8², a triangle with the sides 4, 6, and 8, are not a right triangle.

Answer:

494 cm^2

Step-by-step explanation:

Find area od the rectangle:

14 x 26 = 364

Find area of the triangle:

10 x 26 = 260

260/2 = 130

Add the areas together:

364 + 130 = 494

Answer:

(-2, 5)

Step-by-step explanation:

5 units to the left affects the x axis. Going to the left means you subtract 5 from 3. Giving you -2.

6 units up affects the y axis. Going up means you add 6 to -1. Giving you 5.

The height of the Christmas tree could be either 12 meters or 18 meters.

To find the height of the Christmas tree, let's assign a variable to represent the height. Let's call it "h."

According to the problem, the wire supporting the tree is 3 meters longer than the height of the tree. So, the length of the wire is "h + 3."

The wire is anchored at a point whose distance from the base of the tree is 21 meters shorter than the height of the tree. Therefore, the distance from the base of the tree to the anchor point is "h - 21."

We know that the wire is stretched from the top of the tree to the anchor point, forming a right-angled triangle. The height of the tree represents the vertical side of the triangle, and the distance from the base to the anchor point represents the horizontal side.

Using the Pythagorean theorem, we can calculate the hypotenuse (the length of the wire) as follows:

\((h + 3)^2 = h^2 + (h - 21)^2\)

Simplifying the equation, we get:

\(h^2 + 6h + 9 = h^2 + h^2 - 42h + 441\)

Combine like terms and solve for h:

\(6h + 9 = 2h^2 - 42h + 441\)

\(2h^2 - 48h + 432 = 0\)

Dividing by 2, we get:

\(h^2 - 24h + 216 = 0\)

Factoring the quadratic equation, we get:

(h - 12)(h - 18) = 0

Therefore, the possible heights of the tree are 12 meters and 18 meters.
In conclusion, the height of the Christmas tree could be either 12 meters or 18 meters.

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Answer:

8

Step-by-step explanation:

(2 + x) (10) = 36 + 8x

20 + 10x = 36 + 8x

10x - 8x = 36 - 20

2x = 16

x = 8

Answer:

X - 8

Step-by-step explanation:

8 less than a number would be X - 8 because "a number" means a variable and if it's 8 less than the variable, then you would subtract 8 from it.