this net can be folded to make a square pyramid. what is the surface area of the pyramid

Answers

Answer 1

Answer:  

[tex]85in^2[/tex]

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

area of the square  area of a triangle and multiply it by 4 (because there are 4 triangles)

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

[tex]a_{square}=l^2[/tex]

where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]

thus the area of the square is:

[tex]a_{square}=(5in)^2[/tex]

[tex]a_{square}=25in^2[/tex]

Area of the triangles:

the are of 1 triangle is given by

[tex]a_{triangle} =\frac{b*h}{2}[/tex]

where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)

and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]

thus, the area of 1 triangle is:

[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]

[tex]a_{triangle} =\frac{30in^2}{2}[/tex]

[tex]a_{triangle} =15in^2[/tex]

the area of the 4 triangles is (we multiply by 4):

[tex]a_{4-triangles}=4(15in^2)[/tex]

[tex]a_{4-triangles}=60in^2[/tex]

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

[tex]Surface=25in^2+60in^2[/tex]

[tex]Surface=85in^2[/tex]


Related Questions

PLS HURRY ON CURRENTLY I WILL GIVE BRAINLIST


A box plot is titled Daily Reading Time and labeled Time (min). The left most point on the number line is 15 and the right most point is 55. The box is labeled 21 on the left edge and 48 on the right edge. A vertical line is drawn inside the rectangle at the point 37. The whiskers are labeled as 16 and 53

What information is provided by the box plot? (3 points)



The mean for the data


The median for the data


The number of students who provided information


The number of students who read for more than 21.5 minutes

Answers

Answer:

The right one is ........

A brick layer can build a wall in 6 hours and his apprentice would need 16 hours to build the same wall. When they work together, the apprentice works 5 hours longer than the brick layer. How many hours does each work

Answers

Answer:

Step-by-step explanation:

The brick layer builds ( 1 wall ) / ( 6 hrs )

That's the same as ( 1/6 wall ) / ( 1 hour )

------------------------------------

The apprentice builds ( 1 wall ) / ( 16 hrs )

That's the same as ( 1/16 wall ) / ( 1 hour )

--------------------------------------

Let t = the time that the brick layer works

t + 5 = the timer the apprentice works

-----------------------------------------

( brick layer's rate ) x ( brick layer's time ) +

( apprentice's rate ) x ( apprentice's time ) = 1

( 1 is the whole job )

-----------------------------------------

(1/6) · t + (1/16) · (t + 5) = 1

Multiply both sides by 48

8t + 3t + 15 = 48

11t = 33

t = 3

t + 5 = 8

the brick layer works 3 hrs

The apprentice works 8 hrs

----------------------------

Check:

(1/6) · t + (1/16) · (t + 5) = 1

(1/6) · 3 + (1/16) · (3 + 5) = 1

1/2 + 1/2 = 1

OK

Calculate the area of ABC​
There's a mistake in the picture - AC is 5cm too

Answers

The answer is located at the bottom of the image attached

у= 1/5x -4 #1
у= -4/1х + 3 | #2
X
y
у

Answers

the left is number 1 graphed. middle is number 2.

right is number 3.

(r^-7)^6 im looking for anwser

Answers

Answer:

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

1 / r^42 ( in fractional form )

Step-by-step explanation:

( r^-7 )^6

Formula : -

( a^m )^n = a^( mn )

Here,

a = r

m = - 7

r = 6

mn

= - 7 * 6

= - 42

Hence,

( r^-7 )^6 = r^-42 ( in exponential form )

        ( or )

( r^-7 )^6 = 1 / r^42 ( in fractional form )

GUYS PLEASE HELP LIKE ASAP

What is the mean, median, mode, and range of the
following data set? Be sure to label which
measurement you are referring to.
7,9,6,9, 7, 4,7

Answers

Answer:

if im not wrong all answers are 7

Step-by-step explanation:

if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.

Andy was practicing for a marathon. Each week he ran, he increased his distance by 3 km. If he ran 8 km the first week, after how many weeks will he be able to run 29 km?​

Answers

Answer:

Week 8

Step-by-step explanation:

week 1 8

week 2 11

week 3 14

week 4 17

week 5 20

week 6 23

week 7 26

week 8 29

Which of the following is true?

A. Since the slope of AD equals the slope of CB and the slope of DB equals the slope of CA, the
figure is a rectangle.

B. Since both pairs of opposite sides are of equal length, the figure is á square

C. Since AB=CD= 141, the figure is a rectangle.

D. Since AB=CD= 141, the figure is a square.

Answers

Answer:

C. Since AB = CD = √41, the figure is a rectangle.

Explanation:

All of them AD, CB, DB, CA have a slope of 0.

Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.

Find diagonal Length:

√(x2-x1)² + (y2-y1)  =  Length from points measure.√(5-0)² + (4-0)²         [insert following coordinates]√25 + 16                   [simplify]√41                           [final answer]

Since AB = CD = √41, the figure is a rectangle.

Please, I require assistance

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

FH × HG = DH × HE ( substitute values )

2y = 3 × 4 = 12 ( divide both sides by 2 )

y = 6

then

DE = 3 + 4 = 7

FG = 2 + y = 2 + 6 = 8

(b)

given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is

AB × AC = AD × AE ( substitute values )

5(5 + x) = 6 × (6 + 6)

25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )

5x = 47 ( divide both sides by 5 )

x = 9.4

then

AE = 6 + 6 = 12

AC = 5 + x = 5 + 9.4 = 14.4

My son would like to know what is the solution to Pi and i don't even know so I someone to help me with this!

Answers

Answer:

3.14285714

Step-by-step explanation:

[tex] \frac{22}{7} = 3.14285714[/tex]Stay safe, stay healthy and blessed.Stay safe, stay healthy and blessed.Have a good day !Stay safe, stay healthy and blessed.Have a good day !Thank you

what is the slope of the line 6x+5y=10 ?

Answers

Answer:

[tex]-\dfrac 65[/tex]

Step-by-step explanation:

[tex]~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \dfrac 15(10-6x)\\\\\implies y=-\dfrac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\dfrac 65[/tex]

If DI = 14, find CJ.

42
7
28
14

Answers

Answer:

28

Step-by-step explanation:

DI is a radius

CJ is a diameter

The diameter is twice the radius

CJ = 2 * DI

CJ = 2 * 14

CJ = 28

Rectangle QUAD has coordinates​ Q(0,0), ​U(0,​), ​A(​,​), and ​D(​,0). ​Q'U'A'D' is the image of QUAD after a dilation with center​ (0,0) and scale factor . What are the coordinates of point ​D'?

Answers

The coordinates of point ​D' are (36,0).

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

QUAD has coordinates​ Q(0,0), ​U(0,3​), ​A(6,3​), and ​D(6​,0).

The scale factor for ​Q'U'A'D' is 6.

So, the coordinates of ​Q'U'A'D' after dilation is:

Q'(0,0), ​U'(0,3*6​), ​A'(6*6​,3*6​), and ​D'(6*6​,0).

and Q'(0,0), ​U'(0,18​), ​A'(36​,18), and ​D'(36​,0).

Hence, the coordinate of D' is (36,0).

Learn more about scale factor here:

https://brainly.com/question/22312172

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Help pls!!!!! Quickly pls worth 100 points!!!!!!!!!

Answers

Answer:

[tex]\sf m = \dfrac{2}{5}[/tex]

Explanation:

A system of equations will have no solution when:

1st equation = y = ax + b2nd equation = y = ax + c

Meaning they shall have the same slope but different constant.

Here given:

[tex]\sf y = \dfrac{2}{5} x - 7[/tex]       Here slope: 2/5  and constant: -7

Another equation:

[tex]\sf y = \dfrac{2}{5} x + 3[/tex]       Has the same slope but different constant.

Answer:

m = 2/5

Step-by-step explanation:

Understanding :

A system of equations have no solutions when they do not cross/intersect each other at any point.

This is only possible when the slopes of the lines are equal.

Solution :

Hence,

m = 2/5

Dorothy is trying to lose weight. She is exercising and eating right
every day. She started out with a weight of 203 pounds. Each day, she
loses 1.5 pounds. What is her weight after 21.5 days? Round your
answer to the nearest tenth of a pound.

Answers

I accidentally deleted the thing that said answer but the answer is 170.7

Step-by-step explanation:

You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.

Please help me solve this parabola equation!!
How do you convert this parabola equation: -7(x-7)^2 = (y-6) into standard form?

Answers

Answer:

y=−7x2+98x−337 is the answer

-7(x-7)²=y-6y=-7(x-7)²+6y=-7(x²-14x+49)+6y=-7x²+98x-343+6y=-7x²+98x-337

Log5(2x)=4 can u please help me im bout to take a test

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log_{5}(2x) = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= {5}^{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= 625[/tex]

[tex]\qquad \sf  \dashrightarrow \: x= 625 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 312.5[/tex]

I Hope you understood the procedure ~

A basketball team has 15 members, and 18 of them are sixth graders what percentage of the team is in sixth grade?

Answers

Answer:

120% are sixth graders

But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%

120% but not sure if u meant to say 18 sixth graders

Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1

Answers

Answer: here u go

Step-by-step explanation:

Please help if you know!

Answers

Answer:

2.5 cups

Step-by-step explanation:

[tex]\frac{2}{12} =\frac{x}{15}[/tex] (x is the amount of cups of zucchini you will need to feed 15 people)

This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.

Cross multiply

30 = 12x

divide both sides by 12 to isolate x

[tex]\frac{30}{12}[/tex] = x

2.5 = x

That is your answer

- Kan Academy Advance

PLEASE HELP ME SOLVE THIS!!

Answers

Answer:

x = 18

Step-by-step explanation:

Let's find x :-

[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]

[tex] {x}^{2} - 8x = 180[/tex]

[tex] {x}^{2} = 8x - 180 = 0[/tex]

[tex](x - 18)(x + 10)[/tex]

[tex]x = 18[/tex]

14. Which of the following is true about given APQR given in Figure 7.82 to the right? a. p²+q²=² b. q²+r²=p² c. (p+q)²=r² d. p²+r²=q² Q P R T 9 Figure 7.82 P​

Answers

Answer :
a. p²+q²=r²

According to the Pythagorean theorem :
p²+q²=r² ,because this is a right triangle and r is the length of the hypotenuse.

please help mehhhh quick​

Answers

Answer:

A

Step-by-step explanation:

If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.

Hope this helped!

The answer is A! :) I hope this helped


Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE

Answers

Answer:

Step-by-step explanation:

how to draw a model of 2 divided by 1/4

Answers

Answer: Answer below

Step-by-step explanation:

just draw 2 rectangles and draw 3 lines in each one to make 4 equal sections

2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.​

Answers

Answer:

state the formula which is S.I =P×T×R

angles that are exactly 90 degrees are called

Answers

Answer:

Right angles.

Step-by-step explanation:

When an angle's measurements equal 90 degrees, it is called a right angle.

Answer:

Right angles

Step-by-step explanation:

For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.

A group of researchers want to determine whether type of psychotherapy has an effect on the number of PTSD symptoms in refugees. Specifically, they wan to determine if MDMA, a hallucinogenic drug given in a one-time dose, has a greater effect on reducing PTSD symptoms in refugees than the standard PTSD treatment or a placebo control. The researcher randomly assigns 60 people to 1 of the 3 treatment conditions. What is the alternative hypothesis in notation form? u1 =/ u2 =/ u3 p > 0 u1 = u2 = u3 It cannot be written in notation form.

Answers

The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

What are the null hypothesis and alternative hypothesis?

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.

As we can see in the problem, there are three treatment conditions are given.

Alternative hypothesis H₁: Not all means are equal

[tex]\rm H_0: \mu_1\neq \mu_2\neq \mu_3[/tex]

Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

Learn more about the null hypothesis and alternative hypothesis here:

https://brainly.com/question/27335001

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A segment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint? –10 –2i 3 – i 9 – 2.5i 18 – 4i

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]

What is the measure of ZRMN?
1179
M
R
N
[Not drawn to scale)
2270
639
1170
1639

Answers

Yes! Yup your right! Congrats yup!
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