Please help me with #3.

Please Help Me With #3.

Answers

Answer 1

Answer:

Total lateral surface of the pyramid = 54 [tex]cm^{2}[/tex]

which agrees with the first listed answer.

Step-by-step explanation:

Notice that the pyramid has for base an equilateral triangle of base 5 cm, and has three lateral triangles which have all the same dimensions for their base (5 cm - since they are all connected to the base of the pyramid), and their height (7.2 cm).

The actual LATERAL surface, includes only the surface of the three lateral triangles.

We use the formula for the area of a triangle: [tex]Area=\frac{base \,*\, height}{2}[/tex]

to calculate the area of each lateral triangle:

[tex]Area=\frac{5\,cm \,*\, 7.2\,cm}{2} \\Area=18 \,cm^2[/tex]

and then multiply the result by three (to account for the three lateral faces)

Therefore, the total lateral surface is:

Total lateral surface = 3 * 18 = 54 [tex]cm^{2}[/tex]


Related Questions

Solve the following inequality: 6x - 9 ≥ 11x - 17.
1. x<=5/8
2.x>=8/5
3.x>=5/8
4.x<=8/5

Answers

Answer:

x ≤8/5

Step-by-step explanation:

6x - 9 ≥ 11x - 17

Subtract 6x from each side

6x -6x-9 ≥ 11x - 17-6x

-9 ≥ 5x- 17

Add 17 to each side

-9+17≥ 5x - 17+17

8≥ 5x

Divide each side by 5

8/5≥ 5x /5

8/5≥ x

The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board?
5 FT 2 squared
10 Ft 2 squared
15 Ft 2 squared
20 Ft 2 Squared

Answers

Answer:

20ft ^2  (squared)

Step-by-step explanation:

We deduct the circle area from the square area but first find out the radius triangle segment the 1/diagonal of the square. To find the hypotenuse h= c=r

h^2 =c = a+ b

h^2 = 8^2+ 8^2

h^2 =√64 + √64

h^2 =√128 = 11.313708499/3 = 3.77123616633

r=  5.65ft or 5.66ft rounded up

Square area formula = L x W = 8ft x 8ft = 64ft^2

Circle area formula=  A=πr2 = (π = 3.14159265359  (3.77123616633x 3.77123616633) = 14.2222222222 x 3.14159265359  = 44.680428851

A = 14.2 x π

A = 44.68ft

64 - 44.68 = 19.32ft^2

The answer must be 20ft ^2 squared.

miranda stared with no meoey and saved $15 each week.

Answers

Answer:

?

Step-by-step explanation:

however many weeks the question is asking for just multiply that number by 15

Answer:

15w

Step-by-step explanation:

So, there is a rate. It would be 15w

w=Week.

Since she started with no money at all, it would be simple. 15w.

Hope this helped!

John saved 65 coins. He saved nickels and dimes only. If he had totally $4.90, how many nickels did he have?

Answers

Answer:

Step-by-step explanation:

Let n = nickels and d = dimes

n+d = 65

5n+10d = 490

Solve for n:

n = 65 - d

Substitute the equation:

325 + 5d = 490

5d = 165

d = 33

The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1.1
What is the mean daily snowfall?
O
A. 1 inch
O
B. 3 inches
O
c. 4 inches
OD. 5 inches

Answers

Answer:

5 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

which binomials below is a factor of this trinomial, x^2 - 6x - 16
I WILL MARK BRAINLIEST

Answers

Answer:

(x - 8) and (x + 2) are both factors

Step-by-step explanation:

Given

x² - 6x - 16

Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (- 6)

The factors are - 8 and + 2, since

- 8 × 2 = - 16 and - 8 + 2 = - 6, thus

x² - 6x - 16 = (x - 8)(x + 2)

Answer:

x + 2

Step-by-step explanation:

Just took the quiz

The distance between the points (-3,4) and ( 5,4)


Application of the Pythagorean theorem

Answers

so the answer is 8 units.

Hope this will help u...

please help me!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Answer A does not come out to an even answer.

Answer:

C

Step-by-step explanation:

The Pythagorean theorem only works with right triangle. Seeing that the only right triangle is C the correct answer must be C. If you don't know how to identify a right triangle one of the easiest things to do is that there is a box in the corner and that means it is a right triangle. A right triangle is a triangle in which one of the corners is at at 90 degree angle

What’s the slope of the line that passes through 5,10 and 7,12

Answers

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Now, putting [tex]x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12[/tex] we get,

Slope = [tex]\frac{12-10}{7-5}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

Answer:

[tex]to \: find \: the \: slope \: of \: the \: line \\ given \: that \: the \: line \: passes \: through \\ (5,

10) \: and \: (7,12) \\

answer \: is \: \: 1

[/tex]

Step-by-step explanation:

[tex]passing \: through \: (5,10) \: and \: (7,12) \\ slope = \frac{y2 - y1}{x2 - x1} \\ here \: y2 = 12 \: \: and \: \: y1 = 10 \\ x2 = 7 \: \: and \: \: x1 = 5 \\ therefore \: \\ slope = \frac{12 - 10}{7 - 5} \\ = \frac{2}{2} \\ = 1[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

solve 49x^2+64=0 by using square roots

Answers

Answer:

x = ±i8/7

Step-by-step explanation:

49x^2 +64 = 0

Subtract 64 from each side

49x^2 +64-64  = 0-64

49x^2 = -64

Divide by 49

49x^2/49 =-64 /49

x^2 = - 64/ 49

Take the square root of each side

sqrt(x^2) = ±sqrt(- 64/ 49)

x = ±sqrt(- 64/ 49)

We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)

x = ±sqrt(- 1) sqrt(64)/( 49)

We know that the sqrt(-1) = i

x = ±i8/7

In circle N, KL ≅ ML. Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point on the circle to create secants J M, M L, L K, and K J. M L and K L are congruent. The measure of arc J K is (5 x + 24) degrees, the measure of arc J M is (13 x + 2) degrees, the measure of arc M L is (8 x minus 3) degrees, and the measure of arc K L is (7 x + 7) degrees. What is the measure of Arc J M? 77° 90° 132° 154°

Answers

Answer:

[tex]arc\ JM=132^o[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

[tex]arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o[/tex] ----> by complete circle

substitute the given values

[tex](13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o[/tex]

solve for x

[tex](33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10[/tex]

step 2

Find the measure of arc JM

[tex]arc\ JM=(13x+2)^o[/tex]

substitute the value of x

[tex]arc\ JM=(13(10)+2)^o=132^o[/tex]

Answer:

132 maybe

Step-by-step explanation:

The rectangular bed of a truck is 1 9⁄10 meters long, 1 1⁄2 meters wide, and 1⁄2 meter tall. What is the volume of the truck's bed?

Answers

Answer:

1 17/40 m^3

Step-by-step explanation:

Volume = l*w*h

             = 1 9/10 * 1 1/2 * 1/2

Changing the mixed numbers to improper fractions

1 9/10 = (10*1+9) /10 = 19/10

1 1/2 = (2*1+1)/2 = 3/2

1/2 = 1/2

V = 19/10* 3/2*1/2

  =57/40

Changing this back to a mixed number

40/40 + 17/40

1 17/40

Answer:

1 17/40 m³

Step-by-step explanation:

1.9 × 1.5 × 0.5

= 1.425 m³

19/10 × 3/2 × 1/2

= 57/40

= 1 17/40 m³

Sadly, my last question was ignored, so I am asking it again... Can someone please help me? If you answer it, go to my profile and answer the old question too, they are the same. You will obtain 18 points if you answer this question and the identical older one.

Answers

Answer:

the picture is blocked on my screen just write it out on my answer

Step-by-step explanation:

Answer:

the theoretical probability is 1/5.

the experimental probability is 3/10.

chances are the experimental probobility will approach the theoretical probobility.

Step-by-step explanation:

since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.

the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.

last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.

Use the net to find the surface area of the cylinder.
Give your answer in terms of pi​

Answers

Answer:

104pi

Step-by-step explanation:

If x=2 and y=4 what is the answer to 3x + 2y + 4

Answers

Answer:

Step-by-step explanation:

x = 2 ; y = 4

3x + 2y + 4 = 3*2 + 2*4 + 4

                 = 6 + 8 + 4

                 = 18

Can someone pls answer this thanks

Answers

Answer:

64 pi

Step-by-step explanation:

divide 50.24 by 3.14 to find diameter

16 = diameter

8 = radius

Area = 8^2 pi = 64 pi

Answer:

A=200.96

Step-by-step explanation:

Line B is 55 cm long. It is an enlargement of Line A which is 5 cm long. What is the scale factor of the enlargement?​

Answers

Answer:

11

Step-by-step explanation:

Line B is an enlargement of Line A, which is 5 cm long. Let's say that the scale factor is "k". Then, when we multiply k by the length of Line A, we should get the length of Line B:

(Line A length) * k = (Line B length)

5 * k = 55

k = 55/5 = 11

Thus, the scale factor is 11.

Hope this helps!

Answer:

11

Step-by-step explanation:

Length of enlarged line is: 55 cm

Length of the original line: 5 cm

Let the scale factor be t

Then,

5t = 55

t = 55/5

t = 11

A coordinator will select 4 songs from a list of 11 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

Answers

The number of different possible line ups are; 4,233,600

What is permutation and combination?

We are told that;

List of songs = 11 songs

Number of songs to be selected = 4 songs

Thus, the number of different possible line ups is gotten from permutation formula as;

¹¹P₇ = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 = 4,233,600

Read more about permutations at; https://brainly.com/question/12468032

Answer:

answer is 7920

somehow you miscalculated

1. How are sine functions connected to the unit circle?
2. How are cosine functions connected to the unit circle?

Answers

Answer:

1) The sine function relates a real number t to the y-coordinate of the point where the corresponding angle intercepts the unit circle.

2) The secant function is the reciprocal of the cosine function (secx=1cosx) ⁡ x = 1 cos ⁡.The co-secant function is the reciprocal of the sine function (cscx=1sinx) ⁡ x = 1 sin ⁡ . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y ⁡ t = 1 y .

Step-by-step explanation:

Final answer:

Sine and cosine functions are related to the unit circle with their values representing the y and x coordinates of a point on the circle, respectively. They oscillate between +1 and -1, repeating every 2π radians and are used to model simple harmonic motion, differing by a phase shift of π/2 radians.

Explanation:

The sine and cosine functions are directly related to the unit circle, which is a circle with a radius of 1 centered at the origin of a coordinate system. When an angle θ is drawn from the positive x-axis, the coordinates of the point where the terminal side of the angle intersects the unit circle are (cos θ, sin θ).

For the sine function, think of it as projecting the point on the unit circle onto the y-axis. This projection gives the y-coordinate, which is the sine of the angle θ. Therefore, the sine function oscillates between +1 and -1 as the angle θ increases, repeating every 2π radians because this is the circumference of the unit circle.

Similarly, the cosine function is obtained by projecting the point onto the x-axis, providing the x-coordinate or the cosine of the angle θ. It also oscillates between +1 and -1 and repeats every 2π radians. Both sine and cosine functions describe simple harmonic motion when modeling periodic phenomena, and they differ by a phase shift of π/2 radians.

The initial conditions of a sine function with zero phase shift are that the function starts at 0, indicating that, for simple harmonic motion, the initial position is at equilibrium. With a cosine function, the initial value is 1 when the phase shift is zero, indicating that the motion starts at its maximum displacement. This concept can also be used to model wave functions and determine scalar components using triangles.

What is 4(-1/2) in repeated addition? Help ASAP please!

Answers

Answer:

-1/2 + -1/2 + -1/2 + -1/2 = -2

Step-by-step explanation:

You open up the parenthesis to get:

-1/2 + -1/2 + -1/2 + -1/2 =

-2

The person above is correct he explained it correct...... okay bye bye

When brad was born ,his grandma put 1,500 in a new account for him . Since then the balance of the account has grown by 6.5% each year with no deposits or withdrawals. Now Brad is 18 and can withdraw the money if he decides to wait until his 21st birthday how much more money will be in the account

Answers

Final answer:

Using the compound interest formula, Brad's $1,500 will grow to $1,810.69 by the time he turns 21 due to the 6.5% annual growth rate for three additional years.

Explanation:

Calculating Future Value with Compound Interest

Brad's grandmother initially deposited $1,500 in an account that grows at a rate of 6.5% each year. To calculate the future value of this investment when Brad is 21, we'll use the formula for compound interest:

FV = P(1 + r)^n

Where:

FV is the future value of the money after n years.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of years the money is invested or borrowed for.

In Brad's case:

P = $1,500

r = 0.065 (6.5% converted to a decimal)

n = 21 years old - 18 years old = 3 years

Now, we plug these values into the compound interest formula:

FV = $1,500(1 + 0.065)^3

And calculate the future value.

Therefore, if Brad decides to wait until his 21st birthday to withdraw the money, he would have:

$1,500(1 + 0.065)^3 = $1,500(1.065)^3 = $1,500 * 1.207127 = $1,810.69

Brad will have $1,810.69 in his account by the time he is 21 if he waits, which is more than he would have at 18.

Rewrite 18/5 as a mixed number.

Answers

Answer:

3 3/5

Step-by-step explanation:

Just divide 18 by 5 but rather than putting it in decimal form, it should be in fractional form

Thank me later :)

Answer:

3 3/5

Step-by-step explanation:

18/5

Take 18 and divide by 5

It goes in 3 times 5*3 =15

18-15 =3

This goes over the denominator

3 3/5

Which of the following are alternate interior angles? Select all that apply.




A.

∠5 and ∠4


B.

∠6 and ∠5


C.

∠2 and ∠8


D.

∠8 and ∠1


E.

∠3 and ∠5

Answers

Answer:

C & E

Step-by-step explanation:

∠3 and ∠5 are alternate interior angles

∠2 and ∠8 are alternate interior angles

Given the sequence.
125, 25, 5, ...
Write the rule an using the geometric sequence formula:

Answers

Final answer:

The given sequence follows a geometric pattern, and the common ratio is 0.2. Using the geometric sequence formula, we can find any term in the sequence by substituting the values into the formula.

Explanation:

The given sequence 125, 25, 5, ... follows a geometric pattern where each term is obtained by multiplying the previous term by a common ratio. To find the common ratio (r), we divide any term by its previous term. Let's divide 25 by 125 to find the common ratio: r = 25/125 = 1/5 = 0.2.

Now that we have the common ratio, we can use the formula for a geometric sequence:

aₙ = a₁ × r(n-1)

Here, aₙ represents the nth term, a₁ is the first term, r is the common ratio, and n is the term number. Since the first term (a₁) is 125 and the common ratio (r) is 0.2, we can substitute these values into the formula to find the nth term.

Learn more about Finding terms in a geometric sequence here:

https://brainly.com/question/34721734

#SPJ12

Final answer:

The rule for the given geometric sequence 125, 25, 5, ... is an = 125 × 5(n-1).

Explanation:

The given sequence is 125, 25, 5, ...

To find the rule using the geometric sequence formula, we need to determine the common ratio. The common ratio is found by dividing any term by its previous term. Let's take the first two terms: 125/25 = 5. So, the common ratio is 5.

The formula for a geometric sequence is given by: an = a¹ × r⁽ⁿ⁻¹⁾, where an is the nth term, is the first term, r is the common ratio, and n is the position of the term.

Using this formula with the first term ( = 125) and the common ratio (r = 5), we can find the rule for the sequence. Let's find the rule for the third term: a³ = 125 × 5⁽³⁻¹⁾ = 125 × 5² = 125 × 25 = 3125.

Therefore, the rule for the sequence is: aⁿ = 125 × 5⁽ⁿ⁻¹⁾.

Learn more about Geometric sequence here:

https://brainly.com/question/34721734

#SPJ6

Solve for x: d 28−x 7+x +8=14

Answers

-1 I think sorry if I’m wrong

Please help me with #1.

Answers

Answer:

810 square meters

Step-by-step explanation:

I did 12 x 15 x 18 and got 3240

then I divided 3240 by 4 because there are 4 sides of it which gave me 810

Hope This helps!

Which number line plots the integers –12, -3, and 7?

Answers

the first answer choice

Answer:

A

Step-by-step explanation:

It’s just a rough estimate, but using reasoning that -12 is between-10 and -15, -3 is found between 0 and -5, and 7 being between 5 and 10

Consider the diagram below and find the measure of angle CGE

Answers

Answer:

Step-by-step explanation:

B: 61

What is the diameter of a circle with a circumference of 84.78 inches? Use 3.14 for π. Enter your answer in the box.

Answers

Answer:

your answer would be 26.99 or 27

Step-by-step explanation:

Hope this helps

Answer:

d=26.9863

Step-by-step explanation:

to find the diameter divide the circumference by 3.14

hope this helps

stay safe

brainliest is appreciated :))

What is the area of the sector that is NOT shaded?

a. 80 pi units2
b. 16 pi units2
c. 20 pi units2
d. 8 pi units2


PLEASE HURRY!! I HAVE LIMITED TIME!! :)

Answers

Answer:

area of the shaded sector

= 72°/360°π(10)²

= 0.2×100π. sq. units

=20π sq. units

area of the not shaded region=π(10)²-20π

= (100-20)π = 80π sq. units

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