Please help me! Please! I am so lost! Pythagorean Theorem!

(The prism said to have an equilateral triangle base has the measurements shown)

Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.

Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?

Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?

Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?

Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?

Please Help Me! Please! I Am So Lost! Pythagorean Theorem!(The Prism Said To Have An Equilateral Triangle

Answers

Answer 1

Answer:

Part A- yes, because all 3 sides are Equal (each side is 5)

Part B- yes, each rectangle has the dimensions 12*5

Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90

Part D-  [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]

Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]

the area would be [tex]48\sqrt{2}[/tex]

Step-by-step explanation:


Related Questions

the typical level of a low tide at a beach is the 0 point on a number line

Answers

Answer:

The low tide level is 0, integer as 0

Step-by-step explanation:

The tide is at the numberline point 0, making it at integer 0.

Please let me know if I need to change the answer via comments (pls don't report me)

What is the volume of the prism?

Enter your answer in the box as a mixed number in simplest form.

Answers

4 1/2
Try Cymath it’s great for this stuff

Answer:

V = 9/2 ft^3

Step-by-step explanation:

[tex]v = 2 \times 1 \frac{1}{2} \times 1\frac{1}{2} \\ \\ v = 2 \times \frac{3}{2} \times \frac{3}{2} \\ v = \frac{9}{2} \: \: {ft}^{3} [/tex]

I hope that is useful for you :)

Swapna gathered data on the number of page views for each of her blog posts. For her 40 latest posts, she found a sample mean of 358 with a population standard deviation of 54.3. What is the approximate 95% confidence interval for her page views? HINT: It's not D.

A. 344 and 372
B. 356 and 360
C. 341 and 375
D. 336 and 380

Answers

Answer: for plato users

D. 341  and 375

Step-by-step explanation:

I just took the test

The approximate 95% confidence interval for Swapna's page views is [341, 375].

What is confidence interval?It is a range of values that's likely to include a population value with a certain degree of confidence. It is expressed as a percent (%) where a population mean lies between an upper and lower interval.A confidence interval is how much uncertainty is with any particular statistic.When it is a 95% confidence interval, it means a range of values that you can be 95% certain contains the true mean of the population.A confidence interval is obtained from the observed data that holds the actual value of the unknown parameter.Formula of confidence interval:

Confidence interval =  mean ± Z * (standard deviation/ √sample size)

For given question,

Sample size = 40

Sample mean = 358

Standard deviation = 54.3

Critical value at 95% confidence level= 1.96

Confidence interval = 358 ± 1.96 * (54.3/ √40)

                                  = [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]

                                  = [341, 375] (approximately)

Learn more about confidence interval here

https://brainly.com/question/24131141

#SPJ2

use an inequality symbol to compare -3 + 7 ____-10 -2​

Answers

Answer:

>

Step-by-step explanation:

-3 + 7 = 4

-10 - 2 = -12

4 > -12

Determine what type of solution the following equation has: 2x-7=2x+3

- No solution
- One solution
-Infinitely Many solution

Answers

I’m pretty sure that has no solution! :)

Explanation:
2x - 7 = 2x + 3
2x - 2x -7 = 2x - 2x + 3
-7 = 3
no solution

(Also, could I get brainliest?)

Find the area of the figure.

Answers

Answer:

25

Step-by-step explanation:

The area of the figure is 25.

help pls What is the measure of ∠x
Angles are not necessarily drawn to scale. Given the following:

Answers

Answer: 31

Step-by-step explanation:

assuming lines DE and FG are parallel, <jcg and <DAL are alternate exterior angles, so they are congruent.

<DAK is 90

so the measure of <x=90-59

x=31

HELPP PLEASE!!!!
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5,8,11

Answers

Answer:

Arithmetic, add 3 each time

you would add 3 every time, arithmetic

In which step does a mistake first occur?
(24+3 + 10)-14 +2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4+2
Step 4: 2

Answers

Answer:

The step that a mistake first occurs is in step 1.

Step-by-step explanation:

In step one, the constants in the parenthesis went from 24 + 3 + 10 to 8 + 10, which is essentially impossible, so step 1 was the step where a mistake first occurred.

Which graph represents an exponential function?

Answers

Answer:

The second one

Step-by-step explanation:

If you know about hyper and Para bolas then the second one also know as a frowny fave parabola is a function

Use the information provided to write the standard form equation of a
circle.
Center :(3,-2)
Point on Circle: (-3,-16)

Answers

Use this link to find your answer

https://lalinks.org/linksweb

Monique and Tara each make an ice-cream sundae. Monique gets 2 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate
Chunk ice-cream for a total of 71 g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 73 g of
fat. How many grams of fat does 1 scoop of each type of ice cream have?

Answers

Answer:

the number of grams in cherry ice cream and mint chocolate is 23 grams fat and 25 grams fat respectively

Step-by-step explanation:

Let us assume the number of grams in cherry ice- cream be x

And, the number of grams in mint chocolate be y

Now as per the question

The following equations should be used

2x + y = 71  ................... (1)

x  + 2y = 73.................(2)

Multiply 2 in equation 1

So,

4x + 2y = 142

x + 2y = 73

3x = 69

x = 23 grams fat

And, y is

2(23) + y = 71

y = 25 grams fat

hence, the number of grams in cherry ice cream and mint chocolate is 23 grams fat and 25 grams fat respectively

Find the slope of a line that goes through the points (5,-2) and (1,0).
A. 1/2 B. - 1/2 C. 2 D. -2

Answers

Answer:

B(-1/2)

Step-by-step explanation:

So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.

So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.

You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.

This is your y value of your slope.

Next lets find the x value of the slope.

Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.

You should get negative 4, since 1-5 equals -4.

This is the x value of the slope.

Knowing your y and x value of the slope, we can tell that the slope will be:

2/-4

This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.

The negative sign can just be moved to the front since it is the only negative and does not change:

Answer:

-1/2

3. *
1 point
3. What is the solution to this equation?
45.98 = 18.78 + 2x
64.76
32.38
27.2
13.6

Answers

Answer:

the answer is 13.6

Step-by-step explanation:

minus 18.78 on both sides

then divide by 2

Which expression is not equivalent to
4^7/4^10

Answers

Answer:

Step-by-step explanation:

{(2)²}⁷/{(2)²}¹⁰

2¹⁴/ 2²⁰

Using property...

2¹⁴-²⁰= 2-⁶

Hence....

(-2)×(-2)×(-2)×(-2)×(-2)×(-2)= 64

So...

64=4³

hope it helps

Which of the following quadratics has a minimum?

Answers

Answer:

When a quadratic equation's x^2 coefficient is positive, its graph is "U-Shaped" and has a minimum.

Of the equation's listed, the only equation that has a "U-Shaped" graph and would have a minimum is C or 3x^2 +2x -7.

Source: http://www.1728.org/quadr3.htm

Step-by-step explanation:

What is the area of this trapezoid?
b2=2 in.
h = 5 in.
bi = 6 in.

Answers

Answer:

30 inches

Step-by-step explanation:

Help we need to find c and d and the value of x

Answers

Answer:

c=21, d=69, x=37

Step-by-step explanation:

159+c=180

c=21,

21+d=90

d=69,

3x+69=180

3x=111

x=37

−7x−3≤ 25
Solve the inequality and graph the solution on the line provided.
—————————————————
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
Pretend this is a number line
Can anyone please help me with this I really need it done, please

Answers

and you graph it from -4 to the right with close circle

Hope this help

What do you think you do well in math? What do you think you could improve upon?

Answers

I think I can improve on memory. I need to remember the formulas of equations because they often slip my mind.

Answer:

i can improve my listening and focus a lot more

Step-by-step explanation:

Help me with this question

Answers

Answer:

0.45

Step-by-step explanation:

45/100

1/100 = 0.01

0.01 * 45 = 0.45

HELLLLLLLLLLLLLLLLLLLLP 100 points, please really help me

Answers

Answer:

Ok

Step-by-step explanation:

But you didn't attach a photo, ill help you when you do that :)

A Jar contains 125 marbles. Given 3% of the marbles are green, 9% of the marbles are blue, and the rest are red, how many red marbles are in the jar? There are red marbles in the jar?

Answers

Answer:

111 red balls

Step-by-step explanation:

125×0.03= 3.75 3balls

125×0.09=11.25 11balls

125-3-11=111

111 is red


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

maybe the second?

Step-by-step explanation:

angle A and angle B are complementary. Find angle A and angle B.
angleA = (3x + 46)°
angleB = (x − 4)°

Answers

Answer:

Angle A is 82

Angle B is 8

Step-by-step explanation:

Complementary means they add to 90 degrees

3x+46+x-4=90

4x+42=90

4x=48

x=12

Angle A is 3(12)+46= 82

Angle B is 12-4=8

82+8=90

What is 6% of 7500 + 5% of 7500​

Answers

Answer: It should be 825

Step-by-step explanation:

.06*7500= 450
.05*7500= 375

450+375= 725

Answer is 725

help me..........................

Answers

Answer:

5 zeros

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

There are 5 zeroes in the multiple of ten

Hello good morning!! Anyone watch anime? My favorite is yu yu hakusho or one piece

Answers

Answer:

Good Morning my favorite is Attack on Titan.

Step-by-step explanation:

Answer:

I like mha one piece bleach naruto and sometimes romance animes

What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

Pls help me

Answers

Answer:

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

Step-by-step explanation:

hoped this helped

The answe is 56.6 cm ^3

Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?

A. 0.89
B. 1.6
C. 3.84
D. 3.9

Answers

Answer:

0.89

Step-by-step explanation:

Trust

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