What is the measurement of the longest line segment in a right rectangular prism that is 26 inches long, 2 inches wide, and 2 inches tall?​

Answers

Answer 1

Answer:

[tex]6\sqrt{19} \approx 26.153[/tex] inches.

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment [tex]\mathsf{AG}[/tex].

In this diagram (not to scale,) [tex]\mathsf{AB} = 26[/tex] (length of prism,) [tex]\mathsf{AC} = 2[/tex] (width of prism,) [tex]\mathsf{AE} = 2[/tex] (height of prism.)

Pythagorean Theorem can help find the length of [tex]\mathsf{AG}[/tex], one of the longest line segments in this prism. However, note that this theorem is intended for right triangles in 2D, not the diagonal in a 3D prism. The workaround is to simply apply this theorem on two different right triangles.

Start by finding the length of line segment [tex]\mathsf{AD}[/tex]. That's the black dotted line in the diagram. In right triangle [tex]\triangle\mathsf{ABD}[/tex] (second diagram,)

Segment [tex]\mathsf{AD}[/tex] is the hypotenuse. One of the legs of [tex]\triangle\mathsf{ABD}[/tex] is [tex]\mathsf{AB}[/tex]. The length of [tex]\mathsf{AB}[/tex] is [tex]26[/tex], same as the length of this prism.Segment [tex]\mathsf{BD}[/tex] is the other leg of this triangle. The length of [tex]\mathsf{BD}[/tex] is [tex]2[/tex], same as the width of this prism.

Apply the Pythagorean Theorem to right triangle [tex]\triangle\mathsf{ABD}[/tex] to find the length of [tex]\mathsf{AB}[/tex], the hypotenuse of this triangle:

[tex]\mathsf{AD} = \sqrt{\mathsf{AB}^2 + \mathsf{BD}^2} = \sqrt{26^2 + 2^2}[/tex].

Consider right triangle [tex]\triangle \mathsf{ADG}[/tex] (third diagram.) In this triangle,

Segment [tex]\mathsf{AG}[/tex] is the hypotenuse, while[tex]\mathsf{AD}[/tex] and [tex]\mathsf{DG}[/tex] are the two legs.

[tex]\mathsf{AD} = \sqrt{26^2 + 2^2}[/tex]. The length of segment [tex]\mathsf{DG}[/tex] is the same as the height of the rectangular prism, [tex]2[/tex] (inches.) Apply the Pythagorean Theorem to right triangle [tex]\triangle \mathsf{ADG}[/tex] to find the length of the hypotenuse [tex]\mathsf{AG}[/tex]:

[tex]\begin{aligned}\mathsf{AG} &= \sqrt{\mathsf{AD}^2 + \mathsf{GD}^2} \\ &= \sqrt{\left(\sqrt{26^2 + 2^2}\right)^2 + 2^2}\\ &= \sqrt{\left(26^2 + 2^2\right) + 2^2} \\&= 6\sqrt{19} \\&\approx 26.153\end{aligned}[/tex].

Hence, the length of the longest line segment in this prism is [tex]6\sqrt{19} \approx 26.153[/tex] inches.

What Is The Measurement Of The Longest Line Segment In A Right Rectangular Prism That Is 26 Inches Long,
What Is The Measurement Of The Longest Line Segment In A Right Rectangular Prism That Is 26 Inches Long,
What Is The Measurement Of The Longest Line Segment In A Right Rectangular Prism That Is 26 Inches Long,
Answer 2
Final answer:

The longest line segment in a right rectangular prism with dimensions 26 inches by 2 inches by 2 inches is found using the Pythagorean theorem: d = sqrt(l^2 + w^2 + h^2), which gives approximately 26.2 inches.

Explanation:

To find the measurement of the longest line segment in a right rectangular prism, we need to calculate the space diagonal, which is the diagonal that cuts through the body of the prism. In this case, the dimensions of the right rectangular prism are 26 inches long, 2 inches wide, and 2 inches tall. We use the Pythagorean theorem in three dimensions to calculate this, which is the square root of the sum of the squares of the length, width, and height. The formula can be written as:

d = \sqrt{l^2 + w^2 + h^2}

Where d is the diagonal, l is the length, w is the width, and h is the height. Plugging in the given dimensions:

d = \sqrt{26^2 + 2^2 + 2^2}

Calculating the square of each term and adding them gives:

d = \sqrt{676 + 4 + 4}

So:

d = \sqrt{684}

Finally, taking the square root gives us the length of the longest line segment:

d = 26.2 inches

Therefore, the longest line segment of the rectangular prism measures approximately 26.2 inches.


Related Questions

Which table shows a positive correlation? A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 10, 18, 31, 37, 52. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 24, 25, 13, 9, 6. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 9, 12, 17, 21, 22.

Answers

Answer: The Answer is B

Step-by-step explanation:

The first box has all 5's so it's just going to be a straight line.

The third box is a negative correlation because the number are going down in the right column

The fourth column doesn't make any sense because the X column has all 8's

So the answer is B.

Hope this helps : )

The table shows a positive correlation in B; The first column is labeled x with entries 1, 2, 3, 4, and 5. The second column is labeled y with entries 10, 18, 31, 37, and 52. A 2-column table with 5 rows.

What is correlation?

The correlation of two pairs of data values tells about the degree of movement that can occur in one of the data when another data value is increased or decreased respectively.

Since it is called that the Correlation coefficient is a measure of how similar two datasets are acting.

The first box has all 5s =hence,  it's just going to be a straight line.

The third box is a negative correlation due to the number is going down in the right column

The fourth column, the X column has all 8's

Hence, the answer is B.

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a) Write down 375 as the product of prime factors.
Give your answer in index form.

b) Work out the highest common factor of 375 and 150.

Answers

Answer:

a) 3x5³

b) 75

Step-by-step explanation:

a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you

a) do the same to 150

one you have you answers in this case we have

375- 3x5x5x5

150 - 2x3x5x5

you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75

Final answer:

375 as a product of prime factors is 3x5^3 and the highest common factor of 375 and 150 is 25.

Explanation:

To express 375 as the product of prime factors, you must first determine the prime numbers that when multiplied together will equal 375. The prime factors of 375 are 3 and 5. So, 375 can be written as 3x5^3.

Next, to find the highest common factor of 375 and 150, you need to first find the prime factors of both numbers. As shown above, the prime factors of 375 are 3 and 5. The prime factors of 150 are 2, 3 and 5.

The highest common factor is identified by locating the largest number that can divide both numbers without leaving a remainder. The highest common factor of 375 and 150 is hence, 25 because it's the greatest factor that both numbers have in common.

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Find the area of the polygon.

_12 cm

| 19 cm

12 cm

The area of the polygon is |

square centimeters.

Answers

Answer:

[tex]A = 1172.965\,cm^{2}[/tex]

Step-by-step explanation:

Let be a side of 12 cm (l) and an apothem of 19 cm (p). First, the number of sides has to be determined:

[tex]n =\frac{360^{\textdegree}}{2\cdot \tan^{-1}\left(\frac{6\,cm}{19\,cm} \right)}[/tex]

[tex]n = 10.271[/tex]

The polygon has ten sides and the side length shall be re-adjusted:

[tex]\theta = \frac{360^{\textdegree}}{10}[/tex]

[tex]\theta = 36^{\textdegree}[/tex]

The side length is:

[tex]l = 2\cdot (19\,cm)\cdot \tan 18^{\textdegree}[/tex]

[tex]l = 12.347\,cm[/tex]

The area of the polygon is:

[tex]A = \frac{n\cdot l \cdot p}{2}[/tex]

[tex]A = \frac{(10)\cdot (12.347\,cm)\cdot (19\,cm)}{2}[/tex]

[tex]A = 1172.965\,cm^{2}[/tex]

is the expression 4 - x the same as x – 4? Explain

Answers

Answer:

Yes

Step-by-step explanation:

The order of the factors does not alter the product

Yes because of your property’s

A piece of copper has a mass of 58kg and displaces 5918ml. What is its density?

Answers

Answer:

8.96 g/cm2

Step-by-step explanation:

if the volume of a cube is 1,000 cubic feet what is the surface area

Answers

Here,

volume(v)=1000 ft^3

also,

v=l^3

or,1000=l^3

therefore,

l=10ft

Now,

Surface area(A)=6l^2

=6×10^2

=600 ft^2

Hope it helps!!!!!

If the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

What is a cube?

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

The volume of a cube can be calculated as the cube of the sides of a given figure.

The volume of a cube = side ^3

Given ; if the volume of a cube is 1,000 cubic feet

The volume(v) = 1000 ft^3

also, The volume(v) = l^3

or,1000 = l^3

therefore, l = 10ft

The side of the given cube is 10 feet.

Now,

The Surface area(A) of a cube = 6l^2

= 6 × 10^2

= 600 ft^2

Hence, if the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.

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A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet. What statements are true? Check all that apply. The height of the new trapezoid will be 1 ft. The height of the new trapezoid will be 16 ft. The area of the new trapezoid is One-fourth times the area of the original trapezoid. The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid. The area of the new trapezoid is 4 times the area of the original trapezoid.

Answers

Answer:

A and D

Step-by-step explanation:

Got it right :)

Final answer:

The true statement about the new trapezoid is that the area of the new trapezoid is \(1/16\) times the area of the original trapezoid, assuming that all dimensions are scaled down by the same factor.

Explanation:

The area of a trapezoid is given by the formula: [tex]Area = \((base_1 + base_2) / 2\) * height[/tex]. For the original trapezoid with bases of 18 feet and 12 feet and a height of 4 feet, the area is [tex]\((18 + 12) / 2\) * 4 = 60[/tex] square feet. If the dimensions of the trapezoid are scaled down or up, the new height and area can be determined by using the same proportionality principle that applies to triangles. If the height is reduced by a factor of 4, which means the new height is 1 foot, then the area will also be reduced by the same factor squared (since area is a two-dimensional measure). Therefore, the new area will be 1/16 times the original area, which equals 60 / 16 = 3.75 square feet.

The following box plot shows the number of years during which 20 schools have participated in an interschool swimming meet:

A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.

At least how many schools have participated for 6 years or more?

4 schools

5 schools

10 schools

11 schools

Answers

The answer is

B. 5 schools

100% Verified!

Hope This Helps!:)

Answer:

B

Step-by-step explanation:

Finish the phrase "Lack of planning on your part doesn't require..." (use all lowercase letter and put spaces between each word).

Help me please !
Its another lock

Answers

Answer:

"Lack of planning on your part doesn't require an emergency on my part."

Step-by-step explanation:

Doesnt it say it in the photo?

is 1.6 rational or irrational

Answers

It is Irrational you can also find this on google

0.00005026 as a scientific notation

Answers

Answer:

5026*10^-5

Step-by-step explanation:

Answer:

5.026 x 10-5

Step-by-step explanation:

Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3?

8 r 15
8/r15
512r 15
r15/512

Answers

Answer:

(8r) ^ 15

Step-by-step explanation:

(8r) ^-5 ^-3

We know that a^b^c = a^ (b*c)

(8r) ^-5 ^-3 = (8r) ^ (-5*-3)  = (8r) ^ 15

Answer:

This other person is wrong!

Step-by-step explanation:

I have proof! Try answer C: or :b

haha smiley face..if not...here's some memes that i hand made....

Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112\degree$ . What is the measure of $\angle U$ ?

Answers

The sum of the angle ∠T and angle ∠U will be a 180°. Then the angle ∠U will be 68°.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

Trapezoid RSTU is a cross-section of a lampshade.

The diagonals of RSTU are congruent, and the measure of angle S is 112 degrees.

Then the measure of angle U will be

Angle S and angle T are equal.

∠S = ∠T = 112°

And the sum of the angle ∠T and angle ∠U will be a 180°.

Then we have

∠T + ∠U = 180°

112° + ∠U = 180°

         ∠U = 68°

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The measure of angle U in the trapezoid RSTU with congruent diagonals and angle S measuring 112 degrees is 68 degrees, using the properties of an isosceles trapezoid.

To find the measure of in the trapezoid RSTU, with diagonals congruent and the measure of angle S being 112 degrees, we need to use the properties of a trapezoid and the fact that the diagonals are congruent. In an isosceles trapezoid, the base angles are congruent, meaning angles S and U are congruent because diagonals are congruent. Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation: 2(112) + 2(angle U) = 360.

Solving for angle U, we get:

224 + 2(angle U) = 3602(angle U) = 136angle U = 68 degrees  

Hence, the measure of angle U in the trapezoid RSTU is 68 degrees.

Peter ran 4 ⅔ miles on Tuesday. On Wednesday, he ran ⅘ of this distance. How far did he run?


Answers

Answer:

3.73333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance = 4/5 of 4 2/3

[tex]=\frac{4}{5}*\frac{14}{3}\\\\=\frac{4*14}{5*3}[/tex]

= 56/15

= 3 11/15 miles



Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -3 (multiplicity 3) 2(multiplicity 1)and with f(0)=270 .

Answers

Final answer:

To write a polynomial f(x) with specified zeros and a value for f(0), we first express the polynomial in its factored form, then solve for the coefficient using the given f(0) value. The resulting polynomial is f(x) = -5(x + 3)^3(x - 2).

Explanation:

To write a polynomial f(x) of the lowest degree with zeros of -3 (multiplicity 3) and 2 (multiplicity 1), we use the fact that zero of multiplicity m means the factor corresponding to that zero will appear m times in the factored form of the polynomial. Given these zeros, the polynomial in its factored form is:

f(x) = a(x + 3)^3(x - 2)

We are also given that f(0) = 270. We can use this information to find the value of a:

f(0) = a(0 + 3)^3(0 - 2) = 270

a = 270 / [(-2)(3)^3]

a = 270 / (-54)

a = -5

Now we can write the polynomial with the determined value of a:

f(x) = -5(x + 3)^3(x - 2)

This is the polynomial of the lowest degree that meets the given conditions.

Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke?

Answers

Answer: 3/10 of a mile

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the 2/5 of the way that she travelled on her bike before it broke by the total distance (3/4 of a mile)

2/5 x 3/4 = 3/10 of a mile  

She travelled 3/10 of a mile on her bike before it broke

Feel free to ask for more if needed or if you did not understand something.

Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke, found by multiplying 2/5 by 3/4. Equation: Distance on bike = (2/5) × (3/4).

To find out what fraction of a mile Rose traveled on her bike before it broke, we need to find 2/5 of 3/4 mile.

[tex]\[ \text{Distance traveled on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

[tex]\[ = \frac{2}{5} \times \frac{3}{4} \][/tex]

[tex]\[ = \frac{2 \times 3}{5 \times 4} \][/tex]

[tex]\[ = \frac{6}{20} \][/tex]

[tex]\[ = \frac{3}{10} \][/tex]

So, Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke.

The equation for this would be:

[tex]\[ \text{Distance on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]

Complete Question:
Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke? Show your work and write an EQUATION in the box to the right.

I will comment the other answer choices but help me please

Answers

Do I choose A or B?

If so: B

The answer choice would be B because it also talks about stress eating and ways to avoid it while A only talks about corona

What is the midpoint between (7 - 3i) and ( 3 + 2i).

Answers

Answer:

Step-by-step explanation:

5-0.5i

Bree made 48 cookies. She used 1,104 chocolate chips for all of the cookies. How many chocolate chips were in each cookie?

Answers

Answer:

23

Step-by-step explanation:

its 23 beacuase 1104 divided by 48 is 23 so its 23 chips

Answer: 23

Step-by-step explanation: 1,104 divided by 48 = 23

Create a rational function with a non-constant denominator) that has NO vertical

asymptotes.

Answers

Answer:

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

Step-by-step explanation:

A rational function with no vertical asymptotes contains an avoidable discontinuity, an example is presented hereafter:

[tex]y = 3[/tex]

[tex]y = 3\cdot 1[/tex]

[tex]y = 3\cdot \frac{x+1}{x+1}[/tex]

[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]

(17) Find the least square number which is exactly divisible by each of the numbers
6, 9, 15 and 20.
(18) Find the least square number which is exactly divisible by each of the numbers
8, 12, 15 and 20.

Answers

(17) Find the least square number which is exactly divisible by each of the numbers

The answer is 3

(18) Find the least square number which is exactly divisible by each of the numbers

8, 12, 15 and 20.

The answer is 4

Answer:17) 5400

18)3600

Step-by-step explanation:

If a variable does not have a coefficient then it is either a 1 or a -1. true or false

Answers

Answer:

True

Step-by-step explanation:

If the coefficient is -1 then the variable will have a negative sign in front of it.

Example: (-x)

If the coefficient is 1 then the variable will stand alone.

Example:  (x)

Answer:

True

Step-by-step explanation:

An example of a variable "without" a coefficient is x or -x. There is no number beside x, meaning there is no visible coefficient. And when there is no visible, coefficient, the variable is multiplied by 1 or -1 (the negative sign determines whether the variable is negative or not).

What do the three red tiles in the model of the equation below represent?

2 long x tiles and 3 square 1 tiles = 3 negative x tiles
–3
3
–3x
3x

Answers

Answer:

the answer is c

Step-by-step explanation:

Answer:

The answer is -3x because the red tiles represent -x so since there are 3 -x tiles the answer would be -3x

find the edge length of the cube

Answers

Answer:

5

Step-by-step explanation:

follow me if I'm right

Answer:

you are wrong genius

Step-by-step explanation:

you are wrong because you might have thought the s is a 5, but it is an s

Steve bought a triangular mat to cover a corner of his room. How much area of the floor will this mat cover?
A. 60 square feet
B. 80 square feet
C. 48 square feet
D. 24 square feet
Please help worth 40 points!

Answers

Answer:

i believe is c

Step-by-step explanation:

because you addd 10 plus 8 times 6.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the floor that will be covered by the Matt is 24 sq. ft.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.


The area of the floor covering will be equal to the area of the triangular carpet. Therefore, using the Heron's formula we can write,

s = (10+8+6)/2 = 12

Area of the triangle = √[12(12-10)(12-8)(12-6)] = √(12×2×4×6) = 24 sq ft.

Hence, the area of the floor that will be covered by the Matt is 24 sq. ft.

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this is asking using the completing the square method

Answers

Answer:

first box [

4

]

second box [

  7

____

  2

]

third box[

0

]

Step-by-step explanation:

Answers are 4,7,2,0 in order

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is 2:7
Complete the table of costs

Answers

Answer:

The values of the table of costs in the explanation

Step-by-step explanation:

Let

x ---->the cost of one metre of polyester fabric

y ----> the cost of one metre of cotton fabric

we know that

The ratio of the cost of one metre of polyester fabric to the cost of one metre of cotton fabric is

[tex]\frac{x}{y}=\frac{2}{7}[/tex]

Complete the table

Part 1) For 2 metres of fabric

To find out the costs multiply the ratio by the fraction 2/2

so

[tex](\frac{2}{2})\frac{2}{7}=\frac{4}{14}[/tex]

therefore

[tex]x=\£4\\y=\£14[/tex]

Part 2) For 6 metres of fabric

To find out the costs multiply the ratio by the fraction 6/6

so

[tex](\frac{6}{6})\frac{2}{7}=\frac{12}{42}[/tex]

therefore

[tex]x=\£12\\y=\£42[/tex]

Part 3) For 8 metres of fabric

To find out the costs multiply the ratio by the fraction 8/8

so

[tex](\frac{8}{8})\frac{2}{7}=\frac{16}{56}[/tex]

therefore

[tex]x=\£16\\y=\£56[/tex]

Part 4) For 9 metres of fabric

To find out the costs multiply the ratio by the fraction 9/9

so

[tex](\frac{9}{9})\frac{2}{7}=\frac{18}{63}[/tex]

therefore

[tex]x=\£18\\y=\£63[/tex]

Solve the following systems: 3x+4y=0 2x+3y=1

Answers

Answer:

Answer is x= -4 and y= 3

Step-by-step explanation:

[tex]given \: equations \: are \\ 3x + 4y = 0 \: \: and \: 2x + 3y = 1 \\ multiply \: by \: 2 \: in \: first \: equation \\ 6x + 8y = 0 \\ multiply \: by \: 3 \: in \: second \: equation \\ 6x + 9y = 3 \\ subtracting \: the \: above \: mentioned \: equation \: \\ we \: get \: - y = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 3 \\ substitute \: y = 3 \: in \: first \: equation \\ 3x + 4(3) = 0 \\ 3x = - 12 \\ x = - 4[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

On a exam you get two points for each question answered correctly,zero points for each question left blank,and lose one point for each question answered incorrectly.what is your total score on the exam if you answer 22 questions correctly,leave 7 questions blank,and answer 5 questions incorrectly? P.S simplify expression

Answers

Answer:

Total score = 39 points

Step-by-step explanation:

For each correct question, you get 2 points, and there are 22 correct questions, so:

22 * 2 = 44 points.

For each question left blank, you get 0 points, and there are 7 questions left blank, so:

7 * 0 = 0 points

For each incorrect question, you get -1 point, and there are 5 incorrect questions, so:

5 * (-1) = -5 points.

The total number of points is:

Score = 22*2 + 7*0 + 5*(-1) = 44 + 0 - 5 = 39 points

Which of the following triangle lengths form right triangles? Select all that apply
(7, 11, 13)
(10,24,26)
(12, 16, 20)
(12, 35, 37)
(13, 15, 19)

Answers

Answer:

B,C,D

Step-by-step explanation:

The correct option is (10,24,26) , (12, 16, 20) and (12, 35, 37).

What are the three sides of a right triangle?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles.

What is considered a right triangle?

A right triangle is a triangle with one right angle (one angle equal to 90°). The side opposite the right angle (the longest side) is called the hypotenuse. The remaining two sides (the sides that intersect to determine the right angle) are called the legs of the right triangle.

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Other Questions
Plane and shape are the nucleus of _____________ s work. His work is influenced by traditional Japanese motifs and incorporates grid structures and vibrant planes of color that explore warm/cool contrast, close-valued color, and analogous color ranges. In the 1974 poster for Senei Ikenobo s flower arrangements, mountains and waves are created by a rhythmic sequence of blue and blue-green bands under a graduated tan sky. His 1981 Nihon Buyo poster for the Asian Performing Arts Institute uses planes of color on a twelve-unit grid to define the abstracted and expressive portrait. Bryan is asked to write an inequality to represent the graph.A number line going from negative 16 to negative 10. An open circle is at negative 14. Everything to the right of the circle is shaded.He writes Negative 14 less-than-or-equal-to x.Which error did Bryan make? Sally buys a bracelet for $60 and pays 7% sales tax. What is the total amount Sally pays, including tax, for the bracelet? Question Help A manufacturer ships toasters in cartons of 1010. In each carton, they estimate a 1010% chance that any one of the toasters will need to be sent back for minor repairs. What is the probability that in a carton, there will be exactly 33 toasters that need repair? A slice of pizza costs $3.50. You have $25.00 in your wallet to spend on pizza. Write an inequality to represent the number, p, of slices of pizza you can buy. What does the idiom "a black sheep" mean?A.An unlucky personB.A lucky personC.An ugly personD.A partner who takes no share of the profitsE.None of these did the united states lead the league of nations? Although you are a strong of First Amendment rights, especially the protections of religious freedom, you find an exception to your beliefs when a speaker defends the rights of a separatist religious sect to practice polygamy. Which of these responses is more ethical?A. Wait until the end of the presentation, then stand up and insist that the speaker listen to your re-buttal, just as you have listened to him or her. B. Seek a way to infiltrate the sect in order to investigate the truth of whats really going on. C. Go home to look up passages in the Bible that either support or refute the speakers claims, then write an anonymous letter to a newspaper opinion page. D. Sit quietly and listen to the speech to decide whether the message contains elements of value or whether to leave your original opinion un-modified. E. Have a sense of humor; lighten the mood with a little laughter. work out the two possible answers 5 + 3d 2 = 8 Worker Corporation allocates its single support department to its operating departments based on the single rate method using machine hours. The following information has been gathered for the assembly department, one of the two operating departments: Actual Budgeted Fixed costs $50,000 $47,960 Machine hours Assembly 1,900 1,976 Variable costs Assembly $121,000 $120,000 What is the cost-allocation rate for the assembly department using the single-rate method? How would you have reacted to this Call to Power if you were a Bolshevik? How would you have reacted if you were a member of the provisional government? Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 10 feet from the bottom of the pole. Find the length of the rope, rounded to the nearest tenth. A company specializing in foreign language lessons sells one set of lessons for $199, but all five sets of lessons purchased upfront sell for $499, a discount of nearly 50%. The company is offering this large discount in hopes that its consumers experience: how did the oil embargo place on the united states by the OPEC negatively impact the US McDonald's is creating a multinational distribution system for all of its foreign and domestic subsidiaries. The project manager is from the corporate headquarters and he manages teams from each of the countries involved. The project would be classified as:A) Global B) Overseas C) Local D) Domestic E) Foreign Select the correct answer.Which of the following is an accurate paraphrase of ideas from the Web article? A certain substance X has a normal freezing point of 5.6 C and a molal freezing point depression constant Kf-7.78 C-kgmol-1. A solution is prepared by dissolving some urea ((NH2)2CO) in 550. g of . This solution freezes at-0.9 C. Calculate the mass of urea that was dissolved. Be sure your answer has the correct number of significant digits. A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer. He expects 800 guests at the banquet. Use equivalent ratios to estimate how many cups of soup he should prepare. A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer. He expects 800 guests at the banquet. Use equivalent ratios to estimate how many cups of soup he should prepare. Simplify. 227 48 +412 can you plz help me on this?