graph a right tringle with two points forming a hipothanose using the sides find the distance between the two points to the (nearest tenth if nessacery) (7,3) (5,-4)

Answer:

\(\frac{11}{15}-\frac{2}{3}\left(-0.4\right)-\frac{4}{3}=-0.33333\dots\)

Step-by-step explanation:

m + np - q

\(\frac{11}{15}-\frac{2}{3}\left(-0.4\right)-\frac{4}{3}\)

\(\frac{11}{15}-\frac{2}{3}\left(-0.4\right)-\frac{4}{3}\)

\(0.4\cdot \frac{2}{3}-\frac{4}{3}+\frac{11}{15}\)

\(=0.26666\dots -\frac{4}{3}+\frac{11}{15}\)

\(=-\frac{20}{15}+\frac{11}{15}\)

\(=\frac{-20+11}{15}\)

\(=-\frac{9}{15}\)

\(=0.26666\dots -\frac{3}{5}\)

\(=-0.33333\dots\)

Answer:

it's 4.

Step-by-step explanation:

Answer:

4

Step-by-step explan

cus

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

x = 13, angle = 37

Step-by-step explanation:

The full angle will be a right angle, so 90 degrees.

You are given 53, on one side, so you just need to find the other bit.

Here, you can do 90 - 53 and get 37, which has to be equal to your unknown angle.

2x + 11 = 37

2x = 26

x = 13

Answer:

x=13

Step-by-step explanation:

we know that the 2 angles add up to a 90° right angle

53+ (2x+11) = 90

solving that, we're left with 2x= 26

26÷ 2= 13=x

hope this helps!

Answer:

35 marbles were blue

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

Answer:

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours = \(\$x\)

\(40\times x = \$334.4\\\Rightarrow x = \bold{\$8.36}\)

Let the number of overtime hours = \(y\) hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

\(y\times 8.36\times \dfrac{5}{4} = $156.75\\\Rightarrow y = \bold{15\ hours}\)

Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

The hyperbolic equations can be represented as the second-order partial differential equations, which have two different characteristics in nature. These equations can be obtained by finding the solution for the Laplace equation with variable coefficients, which are used to describe the behavior of a certain physical system such as wave propagation, fluid flow, or heat transfer.

The second-order wave equation δu²/δt² = c² δ²u/δx² is a hyperbolic equation since it can be obtained by finding the solution of the Laplace equation with variable coefficients. The wave equation is a second-order partial differential equation that describes the behavior of waves. It has two different characteristics in nature, which are represented by two independent solutions.The first solution is a wave traveling to the right, while the second solution is a wave traveling to the left.

The equation is hyperbolic since the characteristics of the equation are hyperbolic curves that intersect at a point. This intersection point is known as the wavefront, which is the location where the wave is at its maximum amplitude.The wave equation has many applications in physics, engineering, and mathematics.

It is used to describe the behavior of electromagnetic waves, acoustic waves, seismic waves, and many other types of waves. The equation is also used in the study of fluid dynamics, heat transfer, and other fields of science and engineering. Overall, the second-order wave equation is a hyperbolic equation due to its characteristics, which are hyperbolic curves intersecting at a point.

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Answer:

Expression II and Expression III

Step-by-step explanation:

4n + 9 + n + 5n = 10n + 9

add 4n + 5n + n = 10n

add the 9 after that which equals 10n + 9 which is equivalent to Expression III

Expressions III and IV are equivalent, both simplifying to 9n + 9.

An expression is combination of variables, numbers and operators.

Equivalent expressions are expressions that work the same even though they look different.

Expression I: 19n

Expression II: 4n + 9 + n + 5n

= 10n + 9

Expression III: 10n + 9

Expression IV: 9n + 9

So, expressions III and IV are equivalent, both simplifying to 9n + 9.

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The conditions at the bottom of the Mariana Trench are vastly different from those in a typical bathtub. The water pressure at that depth is extreme, with over 8 tons of pressure per square inch. In contrast, the water pressure in a bathtub is negligible. Additionally, the water in the Mariana Trench is near freezing, while the water in a bathtub is typically warm or hot. Overall, the conditions in the Mariana Trench are incredibly harsh and inhospitable, making it one of the most extreme environments on Earth.
The Mariana Trench is the deepest part of the ocean at 39,069 feet. The conditions there differ significantly from those in your bathtub. In the Mariana Trench, the water pressure is incredibly high, reaching over 1,000 atmospheres. The temperature is near freezing, ranging from 34-39°F (1-4°C). In contrast, the conditions in your bathtub usually involve much shallower water, lower pressure, and warmer temperatures for a comfortable bathing experience.

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Answer:

a=11

Step-by-step explanation:

hold on our servers are swamped

The maximum volume of the prism is 1728 cubic centimeters.

To find the dimensions of the prism with maximum volume, we need to consider the relationship between the volume of the prism and its dimensions.

Let's assume the base of the right triangular prism is an isosceles right triangle with legs of length 'a'. The height of the prism will be 'h'. The prism is inscribed in a hemisphere with a radius of 12 cm.

First, let's determine the relationship between 'a' and 'h'. Since the base of the prism is on the great circle of the hemisphere, the hypotenuse of the triangular base is equal to the diameter of the hemisphere, which is twice the radius. Therefore, the hypotenuse of the base is 2 * 12 = 24 cm.

By using the Pythagorean theorem, we can find 'a':

a^2 + a^2 = 24^2

2a^2 = 576

a^2 = 288

a = √288

Now, let's find the height 'h' of the prism. The height 'h' is equal to the radius of the hemisphere, which is 12 cm.

Therefore, the dimensions of the prism for maximum volume are:

Base length (a) = √288 cm

Height (h) = 12 cm

To find the maximum volume, we can use the formula for the volume of a right triangular prism:

Volume = (1/2) * a^2 * h

Substituting the values, we get:

Volume = (1/2) * (√288)^2 * 12

= (1/2) * 288 * 12

= 1728

Hence, the maximum volume of the prism is 1728 cubic centimeters.

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The answer to the given question is 6.3%. The the probability of a difference between the means being as large as was obtained is 6.3% if the null hypothesis is true.

What is null hypothesis?

The hypothesis that there is no difference between the sample means is called the null hypothesis. What does it mean by “no difference”? Chance will almost surely ensure that there is some difference between the sample means, for they are most improbable to be identical.

Accordingly we set limits within which we should regard the samples by not having any significant difference. If we put the limits at twice the standard error of the difference, and consider a mean outside this range as coming from another population, we should on average be wrong about one time in 20 if the null hypothesis is actually true.

If we acquire a mean difference bigger than two standard errors we are given on to two choices: either an uncommon event has occured, or the null hypothesis is invalid. Visualize flipping a coin five times and getting the same side every time. This has almost the same probability (6.3%) as getting a mean difference bigger than two standard errors when the null hypothesis is true.

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When the pile is 22 feet high, the height of the pile changes to 20/1089π.

Given (dV)/(dt) = 20, h = 22 feet , dh /dt =?

The volume of cone is V = 1/3 * pi * r ^ 2 * h

d=3h

2r = 3h

r = (3h)/2

V = 1/3 * pi * r ^ 2 * h

= 1/3 * pi * ((3h)/2) ^ 2 * h

= 1/3 * pi((9 * H ^ 2 )/4) * h

= (9pi)/12 * h ^ 3

Differentiate w.r.to t

(dV)/(dt) = (3pi)/4 * (3h * h^ 2) * (dh)/(dt)

(dV)/(dt) = (9pi)/4 * (h ^ 2) * (dh)/(dt)

(dV)/(dt)=20, h=22 feet

20 = (9pi)/4 * (22 ^ 2) * (dh)/(dt)

(dh)/(dt) = 80/ (9pi * (22^ 2))

h^ t = 20/ 1089 *pi   ft / min

Therefore, The height of the pile changing when the pile is 22 feet high is 20/1089π

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DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

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Step-by-step explanation:

17000  x     1.04   twelve times          (.04 is 4% in decimal)

17 000 * 1.04^12 = 27 218

To show that the projection maps π₁: X × Y → X and π₂: X × Y → Y are open maps, we need to demonstrate that for every open set U in X × Y, the sets π₁(U) and π₂(U) are open in X and Y, respectively.

Let U be an open set in X × Y. We can write U as the union of open sets U = U₁ × U₂, where U₁ is an open set in X and U₂ is an open set in Y. Since U is open, every point (x, y) in U has an open neighborhood contained within U.

Now, consider the image of U under the projection map π₁: X × Y → X. The set π₁(U) is the collection of all x-coordinates of the points in U. For any point x' in π₁(U), there exists a point (x', y') in U. Since U is open, there exists an open neighborhood N = N₁ × N₂ of (x', y') contained within U. The projection of N onto the x-coordinate, N₁, is an open neighborhood of x' contained within π₁(U). Therefore, π₁(U) is open in X.

Similarly, for the projection map π₂: X × Y → Y, we can show that π₂(U) is open in Y. For any point y' in π₂(U), there exists a point (x', y') in U. By a similar argument as above, there exists an open neighborhood N = N₁ × N₂ of (x', y') contained within U. The projection of N onto the y-coordinate, N₂, is an open neighborhood of y' contained within π₂(U). Therefore, π₂(U) is open in Y.

Since this holds for an arbitrary open set U in X × Y, we have shown that the projection maps π₁: X × Y → X and π₂: X × Y → Y are open maps.

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Answer:

\( PQ + QR = PR \) => equation 1

\( RS + ST = RT \) => equation 2

\( PR + RT = PT \) => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

\( PQ + QR = PR \) => equation 1

\( RS + ST = RT \) => equation 2

\( PR + RT = PT \) => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

\( PQ + QR + RS + ST = PT \)

Answer:

find two percent of 23358=467.18

minus the two percent from her salary 23358

23358-467.18=22890.84

please mark branliest

Answer:

The probability that a spot will be available for the truck is approximately 11.11%.

The total number of parking spots in the parking lot is 18, and 13 cars have already parked there.

Therefore, there are 18 - 13 = 5 spots remaining.

There are 4 possible places where the truck could park, as it requires 2 adjacent spots:

in the first and second spots, second and third spots, third and fourth spots, or fourth and fifth spots.

Thus, the probability of the truck finding a spot would be 4/5.

The probability of any individual car finding a spot would be 5/18, as there are 5 remaining spots and 18 total spots. Since the events are independent, the probability of both events occurring is the product of their individual probabilities:

4/5 x 5/18 = 1/9 = 0.1111 or 11.11%.

Therefore, the probability that a spot will be available for the truck is approximately 11.11%.

The required answer is 11.11%.

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Answer:

C. Obtuse

Step-by-step explanation:

The probability of not selecting a purple marble when choosing one marble from the bag is 60%.

To determine the probability of not selecting a purple marble when choosing one marble from the bag, we need to find the number of marbles that are not purple and divide it by the total number of marbles in the bag.

The number of marbles that are not purple is the sum of red, green, and yellow marbles. Therefore, the number of marbles that are not purple is 3 + 3 + 9 = 15.

The total number of marbles in the bag is the sum of all the marbles: 3 + 3 + 9 + 10 = 25.

So, the probability of not selecting a purple marble is 15/25 = 0.6, which is equivalent to 60%.

Therefore, the probability of not selecting a purple marble when choosing one marble from the bag is 60%.

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Step-by-step explanation:

we know that,

《opposite angle are equal in a rhombus 》

HERE,

one angle =2x

Opposite angle =3x-40

According to the question,

\(\tt{ 2x=3x-40 }\)

\(\tt{3x=2x+40 }\)

\(\tt{3x-2x=40 }\)

\(\tt{ x=40 }\)

#quality answer

\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

In this given rhombus,

we know that

\(\boxed{\sf{opposite~ angle~ are~ equal ~in~ a~ rhombus }}\)

According to the question,

Therefore.

The value of x In the given rhombus is 40°

The percent markup on cost can be calculated by finding the difference between the selling price and the cost, dividing it by the cost, and then multiplying by 100 to express it as a percentage.

In this case, the selling price of the Kindle E-readers is $79.99 and the cost to the store is $16.9. To calculate the percent markup on cost, we can use the following formula:

Percent Markup on Cost = ((Selling Price - Cost) / Cost) * 100

Plugging in the values:

Percent Markup on Cost = (($79.99 - $16.9) / $16.9) * 100

Simplifying the expression:

Percent Markup on Cost = ($63.09 / $16.9) * 100

Calculating this expression gives us the percent markup on cost for the Kindle E-readers sold at Best Buy.

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The percent markup on cost, given that the E-reader costing $16. 9 was sold for $79. 99 is 373.31%

From the question given above, the following data were obtained:

The percent markup on cost can be obtain as illustrated below:

Percent markup on cost = (Gain / cost prize) × 100

= (63.09 / 16.9) × 100

= 373.31%

Thus, we can conclude from the above calculation that the percent markup on cost is 373.31%

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Answer:

1/8" = 1'-0" Invert the fraction and multiply by 12

Step-by-step explanation:

i hope this help

Answer:

B. 15

Step-by-step explanation:

The side length of AC is 6 units for the shown triangle. The correct answer would be an option (C).

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

The right triangle is given in the question, as shown.

AD = 4 cm and BD = 5

In ΔACD and ΔABC

∠ACD = ∠ABC

∠ACD = ∠BAC = 90°

∠CAD = ∠ACD (remaining)

So ΔACD and ΔABC are similar

Hence

AD / AC = AC/ BC

Apply the cross-multiplication operation, and we get

AC² = AD × BC

AC² = 4 × 9

AC² = 36

AC = 6 cm

So, the side length of AC is 6 units.

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The correct definition of the definite integral of a function f(x) on the interval [a, b] is:

∫[a, b] f(x) dx

The symbol "∫" represents the integral, and "[a, b]" indicates the interval of integration.

The integral of a function represents the signed area between the curve of the function and the x-axis over the given interval. It measures the accumulation of the function values over that interval.

Out of the options provided:

f(x) dx = lim Σ f(x)Δx (n approaches infinity) is the definition of the Riemann sum, which is an approximation of the definite integral using rectangles.

f(x) dx = lim Σ f(Δx)x (n approaches infinity) is not a valid representation of the definite integral.

f(x) dx = lim n→0 Σ f(x)Δx (i approaches 1) is not a valid representation of the definite integral.

Therefore, the correct answer is: f(x) dx.

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Answer:

18

Step-by-step explanation:

if there were 30 carrots at first, and 10 were gone, then 2 after that

The equation would be 30 - 10 - 2 = 18