What is the total area, in square units, of the four triangular faces of a right, square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units

Answers

Answer 1

Given :

Square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units.

To Find :

The total area, in square units, of the four triangular faces of a right.

Solution :

We know, area of square based prism is given by :

[tex]A = a^2 + \dfrac{ah}{2}[/tex]

Here, a is the length of square base and h is the height .

[tex]A = 6^2 + \dfrac{6\times 5}{2}\\\\A = 51 \ units^2[/tex]

Therefore, total area in square units is 51.


Related Questions

Who ever answers this YOUR A GENIUS!! (;

Answers

Answer:

A point on line PN is S

Step-by-step explanation:

Answer:

I think the answer is s.

hope this answer will help you

in ACE, G is the centroid and BE = 9. find BG and GE ​

Answers

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

good luck, have a good day, can i get brainliest

GE = 6 and BG = 3

What is centroid?

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Given that, G is the centroid and BE = 9

The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,

BG = 1/3*BE

BG = 1/3*9 = 3

And,

GE = 2/3*9 = 6

Hence, GE = 6 and BG = 3

Learn more here:

brainly.com/question/12549436

#SPJ2

what fraction is 3/4 equivalent to?

Answers

Answer:

6/8

Step-by-step explanation:

double both of them lol

Answer:

3/4 is equivalent to 6/8 and 12/16

Step-by-step explanation:

30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?

Answers

Step-by-step explanation:

(30 men, 56 days, 6 hours daily)

=> (30 men, 48 days, 7 hours daily)

=> (45 men, 32 days, 7 hours daily)

Hence it will take 32 days.

5X + 2 = 12 two step eqation can someone help

Answers

The answer for X is X=2

5x+2=12
5x=10
X=2

Please help me out!!!!!!!

Answers

Answer:

Is a 0

Step-by-step explanation:

ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.

Answers

Answer:

8.50f + 3.00h = 24

Step-by-step explanation:

(-2,6) and (1,-1) whats the slope

Answers

Answer:

7/-3

Step-by-step explanation:

6--1=7

-2-1=-3

Answer:

The slope is m=-7/3

m=y²-y¹/x²-x¹

m=(-1)-6/1-(-2)

m=-7/3

18. Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3

20. Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2

21. Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2

Answers

Answer:

(-4,-2); y=4x+2

Step-by-step explanation:

What is the slope of a like perpendicular to a line with a slope of 0

Answers

Answer:

0

Step-by-step explanation:

Dont take my word for it but I think it should be 0      

Factors of 49 that add to 14

Answers

Answer: (7, 7)

Explanation: To get to 49 and 14, you only have one option.

7+7=14

7*7=49

Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?

Number of Games Played
20%
20%
20%
20%
20%


16
18
20
24

Answers

Answer:

I think the answer is 20

Answer:

C: 20

Step-by-step explanation:

5(x + 4) help plssssss

Answers

Answer:

5x + 20

Step-by-step explanation:

5(x +4)

= 5x + 20

multiply x + 4 by 5

The yellow turtle country covered 33 cm in six minutes her speed as a unit rate is blank a country walk blank in one minute

Answers

Answer:

5.5 cm/minute

Step-by-step explanation:

Given that,

The yellow turtle country covered 33 cm in six minutes.

To find unit rate, divide distance covered by the time.

Here, distance = 33 cm

Time, t = 6 minutes

[tex]R=\dfrac{33\ \text{cm}}{6\ \text{minutes}}\\\\=5.5\ \text{cm/minutes}[/tex]

Hence, the unit rate is 5.5 cm/minute. It means, Courtney covered 5.5 cm in one minute.

Kaitlyn start a job that pays $8.50 per hour Caitlin's manager says that if her job reviews were favourable she can expect annual pay rate increases of $0.75 which equation represents the relationship between years on the job and pay for our

Answers

Given:

Initial pay rate = $8.50 per hour

Increase in pay rate = $0.75 per year

To find:

The equation that represents the relationship between years on the job and pay for hour.

Solution:

Let x be the number of years and y be the pay rate after x years.

According to the question,

Increase in pay rate in 1 year = $0.75

Increase in pay rate in x year = $0.75x

So, variable pay rate = $0.75x

Initial pay rate = $8.50

So, the total pay rate is

Total pay rate = Initial pay rate + Variable pay rate

[tex]y=8.50+0.75x[/tex]

Therefore, the required equation is [tex]y=8.50+0.75x[/tex].

Does Anyone Know This

Answers

Answer:

1 g-h

2 g^2-h

3 gh

4 g+h

5 h-g

6 g+h^2

Step-by-step explanation:

A real estate agent needs to estimate the average value of a residential property of a given size in a certain area. The real estate agent believes that the standard deviation of the property values is

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

[tex]95 \% \[/tex] the confidence level for z:

[tex]\alpha = 1 - 95 \% \\\\[/tex]

   [tex]= 1 - 0.95 \\\\ = 0.05[/tex]

[tex]\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \ \frac{\alpha}{2} = Z_{0.025} = 1.96[/tex]

Calculating the Margin of error:

[tex]E = Z\ \frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]

   [tex]= 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980[/tex]

The population means estimate a 95 % confidence interval is:

[tex]\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980[/tex]

Find the slope of the graph​

Answers

Answer:Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

WAIT i think we’re doing the same assignment

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink?

Answers

Answer:

$3.8

Step-by-step explanation:

What is the cost of a medium drink?

Let medium drinks = x

Large popcorn = y

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85...Equation 1

y = 13.85 - 2x

At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90.

3x + 2y = 23.90.... Equation 2

Substitute y = 13.85 - 2x

3x + 2(13.85 -2x) = 23.90

3x + 27.7 - 4x = 23.90

3x - 4x = 23.90 - 27.7

-x = -3.8

x = $3.8

Since x = medium drink, the cost of a medium drink = $3.8

1. Which of the following is a solution to the
equation - 2/5x = 10?
a. X = -4
b. X = -25
c. X= 4
d. X = 25

Answers

B. -25
The answer to X has to be negative. Since -2/5 is negative and we’re trying to get to 10, we need another negative to cancel out the negative into a positive. Multiply -2/5 by X (-25) so it’s -2/5 x -25/1. Negative times negative is positive. 2 x 25 is 50. 5 x 1 is 5. 50/5 is 10.

A baseball team won 15 of its games last year. This year, they won 20% more games. How many games did the team win this year?

A.
18

B.
20

C.
25

D.
35

Answers

Answer:

D 35

Step-by-step explanation:

Just added them together

Step-by-step explanation:

A is the answer bsbdbxbxb

Evaluate the expression yz when x= 3, y=6 and z=12.

Answers

Answer: 72

Step-by-step explanation:

y=6, z=12

yz=6 x 12=72

please help me !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

A sign in front of a roller coaster says "You must be 40 inches tall to ride."



What percentage of this height is: 26 inches

Answers

Answer:

65%

Step-by-step explanation:

it is 65%

Answer:

10.4 Inches

Step-by-step explanation:

26% * 40 = 10.4

please help me i have a c i need help desperately lol

Answers

Answer:

positive and find the distance..

Step-by-step explanation:

Answer:

1. Find the distance from the number to 0 on the number line

2. positive

Step-by-step explanation:

please find the value of x :)

Answers

Answer:

x = 16

Step-by-step explanation:

90 = x+8+66

x = 90-74

x = 16

Answer:

16

Step-by-step explanation:

:D

‼️PLEASE HELP!! ASAP‼️Find the missing side

Answers

Answer:

10.5

Step-by-step explanation:

The answer is: 10.5

Because 6 is 3/4 of 8 so that means that we had to find 3/4 of 14

Is 14/950 more or less than 1/2 and why!

Answers

Well because 14 is nowhere near half of 950 (which is 475), 1/2 is bigger. I hope this helped.

Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .

Answers

Answer:

[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]

Step-by-step explanation:

Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule

[tex]m_1=m_2[/tex]

so we rewrite the equation in slope-intercept form:

[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]

and now we compare it with our slope-intercept form equation:

[tex]y=mx+b[/tex]

the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.

now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.

[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]

now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:

[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]

so this is our given line.

A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of​ surface, how much paint is needed to put two coats of paint on the entire surface of the​ tank?

Answers

Answer:

Approximately 11 gallons of paint

Step-by-step explanation:

First we need to calculate the Total surface area of the cylindrical tank as shown;

TSA of the tank = 2πr² + 2πrh  

TSA of the tank = 2πr(r+ h)  where;

r is the radius of the tank

h is the height

Given

radius = 5.5ft

height = 16ft

Get the surface area;

TSA = 2π(5.5)(5.5+ 16)

TSA = 2π(5.5)(21.5)

TSA = 2π(118.25)

TSA = 2(3.14)(118.25)

TSA = 742.61ft²

If a gallon of paint will cover 130ft^2 of​ surface, then the total number of paint needed will be;

Total number of paint needed = 742.61/130

Total number of paint needed = 5.7

For one coat we will need 5.7gallons of paint

For two coats we will need 2 * 5.7gallons = 11.4

Hence approximately 11 gallons of paints will be needed for the two coats

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