What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm







What Is The Length Of The Diagonal For The Given Rectangular Prism To The Nearest Whole Unit? A) 10 Cm

Answers

Answer 1

Hi there! :)

[tex]\large\boxed{\text{B. 11 cm.}}[/tex]

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.


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$63.92

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Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of 11 1/4 inches and an area of 50 5/8 square inches. Find the length of the tray in inches.

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Answer:

67 sq ft

Step-by-step explanation:

The length of the rectangle with an area of 405/8 square inches and a width of 45/4 inches is  9/2 inches.

What are the area and perimeter of a rectangle?

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle = length×width.

Given, The tray has a width of 45/4 inches and an area of 405/8 square inches.

∴ If area = length×width.

Then, length = area/width.

length = (405/8)/(45/4) inches.

length = (405/8)×(4/45) inches.

length = 9/2 inches.

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The mayor will lose in a close race

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Predict the violent crime rate for a Southern state with an urbanization of 55.4 and a poverty rate of 13.7.

Answers

Answer:

The violent crime rate for this Southern state with an urbanization of 55.4 and a poverty rate of 13.7 is predicted to be:

7.6%.

Step-by-step explanation:

a) Data and Calculations:

Urbanization rate = 55.4%

Poverty rate = 13.7%

The predicted violent crime rate = urbanization rate * poverty rate

= 55.4% * 13.7%

= 7.5898%

= 7.6%

b) The prediction of violent crime rate follows some established researches that show that crime rates are higher in urban than rural areas.  There is also a dynamic link between poverty, unemployment, and crime rate.  Unemployment is usually high in more urbanized areas.  As a result, unemployment increases poverty, and poverty reinforces the commission of crimes.

find the slope of the line that contains (-2,-2) and (-10,-9)

Answers

Answer:

[tex] \huge \frac{7}{8} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]

We have the final answer as

[tex] \frac{7}{8} \\ [/tex]

Hope this helps you

Answer:

7/8

Step-by-step explanation:

PLZ HELP if u know the answer​

Answers

Answer: Library is (2, 5) Park is (2, -3) The answer is 5 and 3

Step-by-step explanation: Hope it helped! :)

The answer help pls fast

Answers

Answer:

x = 26

2x = 52

(5x - 2) = 128°

Step-by-step explanation:

✔️According to the exterior angle theorem of a ∆, thus:

(5x - 2)° = 2x° + 76°

Solve for x

5x - 2 = 2x + 76

Collect like terms

5x - 2x = 2 + 76

3x = 78

Divide both sides by 3

x = 26

✔️2x

Plug in the value of x

2(26) = 52°

✔️5x - 2

Plug in the value of x

5x - 2 = 5(26) - 2

= 128°

PLEASE HELP



Trials in an experiment with a polygraph include 98 results that include 23 cases of wrong results and 75 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than ​% of the time. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

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I don’t really know let me ask my friends 1

Express as a trinomial
(3x + 8)(2x + 1)

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Answer:

6x^2+ 19x+8

Step-by-step explanation:

(3x+8)(2x+1) use foil method which gives you,

6x^2+16x+3x+8 then combine like terms which gives you,

6x^2+ 19x+8.

What is the perimeter of this polygon?

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I need help with HW it is hard (repost i forgot picture)

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Answer:

b 8 hours

Step-by-step explanation:

1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer

Plzz answer I'm just super unsmart!!!
the height of Figure A is 9 feet. The height of a similar figure B is 15 feet. What is the ratio of the perimeter of A to the perimeter to B

Answers

Answer:

9;15

Step-by-step explanation:

Question 6 (2 points)
Find the inverse of y= 4x+8
y= 4x+2
y = (1/4) X-2
o a
y=4X-2

Answers

to inverse a equation make all y's x and andy x's y

Thus the inverse is

x=4y-8

Evaluated to

4y=x+8

y=

7x - 2 = 9x+5
Please help!!

Answers

Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

Please answer this is my last assignment for the semester

Answers

Answer:

It's C

Step-by-step explanation:

Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C

“The difference of -5 and -11.”

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which could be the name of a plane?

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Answer: where are the options?

Step-by-step explanation:

Answer:

There is not enough information presented to give an answer

Step-by-step explanation:

If you add more information, I will try and answer it for you

Solve the following system of equations using a method of your choice.

Write the solution as an ordered pair ( , ) and then you will be prompted to explain your thinking.
4x-2y=4
x+y=10

Answers

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

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so your ordered pair would be (4,6)

hope this helps <3

11 students in the Environmental club represent 4% of the students in the seventh grade. How many students are in the seventh grade?

Answers

Answer:

275

Step-by-step explanation:

The best way to do this is to set it up in this equation:

4/100 = 11/x, in this, the 4 over 100 represents 4% out of 100%. The 11 over x represents the 11 students out of x amount of students. With this equation, you cross multiply to get 4x = 1100. Then you divide both sides by 4 to get x by itself. This will give you x=275

After solving the equation, the total number of students in the 7th grade is 275.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the data mentioned in the question,

Total number of students in the Environmental club = 11

Percentage of students from 7th grade = 4%

Let the total number of students in 7th grade be x

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4% of x = 11

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x = (11 × 100)/4

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The average combined SAT score for students at Brookstone High was 1000 in 2003, 1100 in 2004, 1210 in 2005, and 1331 in 2006. Predict the SAT score for Brookstone seniors in 2007. Explain your answer.

Answers

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Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup

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1 liter= 1000 ml
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Answer:

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Answers

Answer: Choice B) The plane is at least 20 times faster than the bird

========================================================

Explanation:

We'll divide the speed of the plane over the speed of the bird.

First divide each coefficient of the scientific value expressions:

7/3 = 2.33 approximately

Then divide the 10^n exponent expressions and we get

10^3 divide by 10^2 = 10^(3-2) = 10^1

So overall, the result of dividing the two speeds leads to approximately

2.33*10^1 = 2.33*10 = 23.3

This shows the plane is approximately 23.3 times faster compared to the bird. Saying "The plane is at least 20 times faster than the bird" is fairly close to the prior sentence, so the statement is valid. That's why choice B is the answer.

Choices A and C are saying similarly valid statements, just written in different formats. I think choice B is the best answer since it seems to be the most direct comparison that is fairly easy to grasp.

what is the radius of the circle?

Answers

Answer:

Step-by-step explanation:

2x/5 + 5/8 = 1/4 help

Answers

[tex] \frac{2x}{5} + \frac{5}{8} = \frac{1}{4} [/tex]

[tex] \frac{2x}{5} = \frac{1}{4} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2}{8} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2 - 5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{ - 3}{8} [/tex]

[tex]2x = \frac{ - 3}{8} \times 5[/tex]

[tex]2x = \frac{ - 15}{8} [/tex]

[tex]x = \frac{ - 15}{8} \div 2[/tex]

[tex] x = \frac{ - 15}{8} \times \frac{1}{2} [/tex]

[tex]x = - \frac{ 15}{16} [/tex]

part two thinking a number between 1 and 10 but doble the money!

Answers

The answer is 5 dhrnrhenebbebdbrhebrjrn

Which counterexample shows the conjecture “If the product of two numbers is positive, then the two numbers must both be positive” to be false?
(-3)(-1) = (+3)
(-3)(+1) = (-3)
(+3)(+1) = (+3)
(+3)(-1) = (-3)

Answers

Answer:

(-3)(-1) = (+3)

Step-by-step explanation:

In this question, we have to find the equation that proves the statement wrong.

The statement says that “If the product of two numbers is positive, then the two numbers must both be positive"

We can already make this statement false because both numbers doesn't only have to be positive in order to have the product of a positive number.

We know that if you multiply two negatives, the number turns positive.

Therefore, we can see that displayed in this equation: (-3)(-1) = (+3)

This is because (-3)(-1) = 3, and they both aren't positive numbers.

Answer:

(-3)(-1) = (+3)

Step-by-step explanation:

The counterexample would be that the product of two negative numbers is positive but the numbers are negative. For example, (-3)(-1) = (+3).

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