A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is equal to base of the cube. What is the slant height of the square pyramid?

Answers

Answer 1

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

lateral area of pyramid = surface area of pyramid - base area

= 384 - 8²

= 320 cm²

area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)

slant height = 20 cm


Related Questions

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

Answers

Answer:

No solutions.

Step-by-step explanation:

No solutions because these two lines are parallel.

You can tell by the slopes. Both slopes are equal -3.

The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.

If I worked 7:30pm and got out at 6am how many hours did I worked

Answers

Step-by-step explanation:

you have worked for 10 and a half hours I.e 10½ hours

In a study of the accuracy of fast food​ drive-through orders, one restaurant had orders that were not accurate among orders observed. Use a significance level to test the claim that the rate of inaccurate orders is equal to​ 10%. Does the accuracy rate appear to be​ acceptable?
Identify the null and alternative hypotheses for this test.

Answers

Answer:Null hypothesis:  

Alternative hypothesis:  

 

 

The p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation n  

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

estimated proportion of orders that were not accurate

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

 

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

 

Statistical decision  

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided . The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

 

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of orders that were not accurate is not significant different from 0.1 or 10% .  

-4x=16 what is x in the equation

Answers

Answer: x=-4

Step-by-step explanation:

-4x=16

Divide by -4 on each side to cancel it out

x=-4

Which statements are true??

Answers

A is true, B is false, C is false, D is true and E is true :]
True false false true and true

in a grocery store, a $21 case of toilet paper is labeled, “get a 20% discount” what is the discount? what is the sale price of the toilet paper?

Answers

Answer:

$16.8

Step-by-step explanation:

put 20% into decimal form 20/100 = 0.2

0.2 x 21 = $4.2

21-4.2 = $16.8

The Discount will be "$4.2" and the Sale price will be "$16.8".

According to the question,

Labeled case of toilet paper,

$21

Get discount,

20%

or,

0.2

Now,

20% of $21 will be:

= [tex]0.2\times 21[/tex]

= [tex]4.2[/tex] ($) (Discount)

→ The sale price will be:

= [tex]Labeled \ case - Discount[/tex]

By substituting the values, we get

= [tex]21-4.2[/tex]

= [tex]16.8[/tex] ($)

Thus the above approach is right.

Learn more:

https://brainly.com/question/11672774

A trapezoid has an area of 13.5 square inches. The bases are 3 inches and 6 inches. Solve to determine the height of the trapezoid.
h=blank in.

Answers

Answer:

h=3 in

Step-by-step explanation:

PLZ GIVE ME BRANELIST

NEED HELP ASAP FAIRLY EASY

Answers

Answer:

answer is. 200

ok my answrer is correct

a snowboard at a local shop normally cost $400 over a Labor Day weekend the snowboard is on sale for 60 60% off what is the sale price of the snowboard​

Answers

Answer:

240

Step-by-step explanation:

Answer part C. I want step by step on this problem.

Answers

Answer:

[tex]Rate = 58007956.5217[/tex]

Step-by-step explanation:

Solving (c): The rate of change:

In this concept, the formula to use is:

[tex]Rate = \frac{V2 - V1}{t2 - t1}[/tex]

Where

[tex](t1,v1) = (0,62817000)[/tex] ----- In 2004

[tex](t2,v2) = (23,1397000000)[/tex] ------ In 2026

So, we have:

[tex]Rate = \frac{1397000000 - 62817000}{23 - 0}[/tex]

[tex]Rate = \frac{1334183000}{23}[/tex]

[tex]Rate = 58007956.5217[/tex]

what is the slope of the line y=4?

Answers

Answer:

there is no slope, or a slope of 0.

Step-by-step explanation:

What is the relationship between the two quantities in the table?

Answers

D

x is multipled by 30 everytime to acheive y

Answer:

Its D

Step-by-step explanation:

I am editing the answer cause my other answer here was incorrect Your answer is D cause every time you multiply the number from the x to 30

1 x 30 = 30

2 x 30 = 60

3 x 30 = 90

4 x 30 = 120

When the polynomial 4x4–13x2–2x + 1 is divided by the polynomial x –2, what is the remainder?
A) -23
B) 1
C) 9
D) 17

Answers

Step-by-step explanation:

answer is C

the process is shown in picture


The answer is either A or D

What is the area of the shaded sector of the circle?
O 201 units?
O 40tt units?
O 180 units?
O 400 units?

Answers

Answer: 180 pie units^2

Step-by-step explanation:

Got it right on edg

The area of the shaded sector subtending 162° at the center is 180π units².

The option (3) is the correct answer.

What is the sector of a circle?

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

In the diagram, we are given a circle with a shaded sector:

The radius of the circle (r) = 20 units

The angle subtended by the shaded sector = 162°

To find the area of the shaded sector, we can use the formula:

= [tex]\frac12 \theta r^2[/tex]

Where θ is the angle subtended in radians and r is the radius.

162° = 162° × (π/180°) rad

= 0.9 π rad

area of the shaded sector = (1/2) × 0.9 π × 20² = 180π units²

Hence, the area of the shaded sector subtending 162° at the center is  180π units².

To learn more about sector of a circle, click:

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What is the volume of the triangular prism?
A) 12 cm3
B) 18 cm3
C) 24 cm3
D) 48 cm3

Answers

Answer:

I believe that the volume of the triangular prism is 24 cm

What are the first four terms of a geometric sequence if its common ratio is 4 and its first term is 3.2?

Answers

Answer:

3.2, 12.8, 51.2,204.8

Step-by-step explanation:

simply use the common formula of geometric series:

tn= a.r^(n-1)

where, tn= nth term (term whose value you want to obtain)

a= first term

r= common ratio

n= nth value

Graph the following features:
Slope =-3/5
Y-intercept = 3

Answers

Answer:

ummm how about noooooooooooooooooo

1. Find the factor pairs of the following number: 54​

Answers

Answer:

1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

factors:

1, 2, 3, 6, 9, 18, 27, 54.

Therefore, all the factor pairs for 54 is 1, 2, 3, 6, 9, 18, 27, 54..

Answer: (1,54) (2,27) (3,18) (6,9)

Step-by-step explanation: 54 x 1 = 54    27 x 2 = 54    3 x 18 = 54   6 x 9 = 54

Given: 1 yard = 3 feet
yards = 4 feet

Answers

Answer:

12

Step-by-step explanation:

4 times 3 = 12

Jason wants to score at least 15 points in his basketball game. He scored 8 points in the first half of the game. He needs to score b points to reach his goal. Which inequality can be used to find the possible values for b?
A. b +8 ≥ 15
B. b +8 > 15
C. b - 8 ≤ 15
D. b - 8 < 15

Answers

Answer:

A.

Step-by-step explanation:

Let's say that b=7. This would mean that he has equaled his goal. If it is greater than 7, the equation still makes since.

Beginning with the equation x= -90, write the new equation produced by dividing both sides by 10

Answers

Answer:

x/10 = -9

Step-by-step explanation:

You are given the equation: x = -90

You are asked to divide 10 from both sides. Simplify:

(x)/10 = (-90)/10

x/10 = -90/10

x/10 = -9

x/10 = -9 is your answer.

~

Which is NOT a line of symmetry?

Answers

Answer is 3. If you fold the triangle like the the point of the triangle will be hanging off the bottom bc it is not symmetrical.

is this right ? if not please help me !


ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

You are correct!!! :)

Step-by-step explanation:

Answer:

y = -3/2 x - 2

Step-by-step explanation:

This should be correct if not I'm sorry I tried my best.

pls answer for me I mark Brainlest​

Answers

Answer:

B. 54

Step-by-step explanation:

For surface area you have to plug in the side length to the Surface area equation being: A=6a^2

When you plug 3 in for a, you get 54

Hope this helped!

The function for the cost of materials to make a hat is f(x)=1/2 x+1 where x is the number of hats. The function for the selling price of those hats is g(f(x)) where g(x)=x+2 find the selling price of 10 hats???​

Answers

Answer:

Step-by-step explanation:

g(f(10)) = g(½·10+1)

= g(6)

= 6+2

= 8

Answer:

the answer is 10

Step-by-step explanation:

Which graph shows a dilation?

Answers

Answer:

the first one

Step-by-step explanation:

.25x + 2x
QUICKKKK I NEED HELPPPP

Answers

Answer:

2.25x

Step-by-step explanation:

2.00x

0.25x

           

2.25x

hope this helps

please mark me brainliest

5(t+4) please heelllpppp

Answers

Answer:

5t+20

Step-by-step explanation:

Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2

1,000
1,500
100
150

Answers

Answer:

1000

Step-by-step explanation:

Answer this correctly I’ll give brainalist + 10 points

Answers

Answer: 118

Step-by-step explanation:

These angles are a linear pair. They sum to 180 degrees.

62 + x = 180

-62 -62

X= 118

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