The volume of a pyramid is 240 cubic centimeters. The pyramid has a rectangular base with sides 6cm by 4cm. Find the altitude and lateral surface area of the pyramid if the pyramid has equal lateral edges​

Answers

Answer 1

Answer:

altitude = 30 cm

lateral surface area = 301 cm² (approximately)

Step-by-step explanation:

let the altitude be x,

240=6*4*x/3

or, x=30 cm

Lateral surface area,

=l×√(w/2)²+h²]+w×√[(l/2)²+h²]

=6×√[(4/2)²+30²]+4×√[(6/2)²+30²]

≈300.99806

≈ 301 cm²

Answered by GAUTHMATH


Related Questions

anna needs at least $1000 to pay her bills this week.she has $250 in the bank and makes $15 an hour at her job.how many hours does she have to work thus week in order to pay her bills​

Answers

She should only have to work about 50 hours

I need help solving this problem. Thanks

Answers

9514 1404 393

Answer:

  f = 2T/(v1 +v2)

Step-by-step explanation:

Multiply by the inverse of the coefficient of f.

  [tex]T=f\cdot\dfrac{v_1+v_2}{2}\\\\f=\dfrac{2T}{v_1+v_2}[/tex]

Combine these radicals. 8 square root 5 + 2 square root 45

Answers

Answer

14√5

Step-by-step explanation:

8√5 + 2√45

= 8√5 + 6√5

= 14√5

Hope this helps

Answer:

[tex]\boxed {\boxed {\sf 14 \sqrt{5}}}[/tex]

Step-by-step explanation:

We are asked to combine the radicals. We have the following expression:

[tex]8 \sqrt{5} + 2 \sqrt{45}[/tex]

Currently, we cannot combine these radicals. The value under the square root is not the same for both terms.

However, we can simplify the radical 2 √45 because the value under the radical is divisible by a perfect square.

45 can be divided by 9 (the perfect square) for a quotient of 5. So, we can simplify the radical using this information.

Break the radical into 2 radicals: 9 and 5.

[tex]8 \sqrt{5}+ 2 \sqrt{9}\sqrt{5}[/tex]

Notice that a perfect square is under the radical. √9 can be simplifed to 3.

[tex]8 \sqrt{5}+ 2 *3 \sqrt{5}[/tex]

Multiply 2 and 3.

[tex]8 \sqrt{3} + 6 \sqrt{5}[/tex]

Now the value under the radical is the same for both terms, and we can add the numbers in front of the radicals.

[tex]14 \sqrt{5}[/tex]

The radicals combined is equal to 14√5

Let v=-9i+j and w=-i-6j find 8v-6w

Answers

Answer:

78i+52j

Step-by-step explanation:

8(9i+2j)-6(-i-6j)

72i+16j+6i+36j

=78i+52j


AXYZ is reflected across the line x = 3. What is the reflection image of X

Answers

Answer:

The answer should be (7, 5)

The total mass of 8 identical dictionaries is 9.92 kilograms. What is the mass, in kilograms, of one dictionary? Enter your answer in the space provided​

Answers

Your answer is 1.24 kg

which multiple choice answer is correct?
A, B, C or D?

Answers

Answer:

C

Step-by-step explanation:

ABD and CDB are both half of ABC

m∠ABD = m∠CBD

Because BD is the bisector of ∠ABC, so it divides it into 2 equal parts.

[tex](v+6)^{2}=2v^{2}+14v+12[/tex]

Answers

Answer:

v=-6 or 4

Step-by-step explanation:

Answer:

the answer would be 5

Step-by-step explanation:

have to do the question multiply add and divide to find your answer

A display case of disposable tablecloths are marked 5 for $3. If Peter has $21, how many plastic tablecloths can Peter get?

Answers

Answer:

35

Step-by-step explanation:

3x7=35

There are 60 students and 13 teachers on a bus .what is the ratio of students to teachers.

Vlad has found a magic box. If he opens it now he will only get $15. But every month the amount in the box increases by $15. If Vlad is very patient, in how many months can he get $450?

I need help ASAP

Answers

He would have to wait 30 months to get $450

f(x)=3x+2 what is f(5)

Answers

Answer:

17

Step-by-step explanation:

Substitute.

f(x)=3(5)+2

    =15+2

    =17

I hope this helps!

Step-by-step explanation:

if the equation if f(x) = 3x + 2, then f(5) would be equal to 3*5 + 2 = 17. 

Find a degree 3 polynomial with real coefficients having zeros 1
and 2−2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=

Answers

9514 1404 393

Answer:

  P(x) = x³ -5x² +12x -8

Step-by-step explanation:

If the coefficients are real, then the complex roots must be conjugates. The third root is 2+2i. For root r, (x -r) is a factor, so the factorization is ...

  P(x) = (x -1)(x -2 +2i)(x -2 -2i) = (x -1)((x -2)² +4) = (x -1)(x^2 -4x +8)

Expanding further, we find ...

  P(x) = x³ -5x² +12x -8

Solve the quadratic equation 12x^2 - 288 = 0 using the square root method.

Answers

Answer:

C) x = ± 4

Step-by-step explanation:

12x² - 288 = 0

Add 288 on both sides. Anything plus zero gives itself.

12x ² = 288

Divide both side by 12

[tex] \small \sf \: x {}^{2} = \frac{288}{12} \\ [/tex]

Divide 288 by 12 to get 24

[tex]\small \sf x {}^{2} = \frac{ \cancel{288 }}{ \cancel{12}} \\ [/tex]

x² = 24

Taking square root of each side and remember to use positive and negative roots

[tex] \small \sf \: \sqrt{x {}^{2} } = ± \sqrt{ 24} [/tex]

[tex] \small \sf \: x_1, _2 = ± \sqrt{ 24} [/tex]

[tex] \small \sf \: x_1, _2 = ± 4.899 [/tex]

write the formula in finding the volume of the following 3D figures. write your answer inside the box.

rectangular prism
_____________
pyramid
_____________
sphere
_____________
cone
_____________


that's all, please someone help me to this question.
I'm gonna brainliest you!!! ​

Answers

Step-by-step explanation:

V=whl

lwh/3

4/3πr^3

πr^2h/3

Answer:

SHEEEEEEESH

Step-by-step explanation:

What are the coordinates of point p?

Answers

Answer: -4,3 your welcome
Coordinates of p: -4, 3

If interest is 8% and it is compounded semiannually, and after one year, the total value is $10,816, what was the original investment?

Answers

$135200

X * 8% = 10816
X = 10816/8% = 135200

In which quadrant do the points have negative x-coordinates and negative y-coordinates?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Quadrant III

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The plane is split into four quadrants. Quadrant III houses all the points with negative signs for both X and Y values.

⸻⸻⸻⸻

See the attached picture for reference.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

For sure. Quadrant 3

accoridng to byu idaho entorllemtn statistic there are 12000 femailes student here on camputes during any given semster of those 3500 have served a mission what is the probalbity that a rodnlby sleclted femal student on cmapus will have served a mission

Answers

Answer:

so this as a fraction is 3500/12000 which is equivalent to

0.29166666666 we multiply this by 100

29.166666666

so about 29.1% or the students are female and have served a mission

Hope This Helps!!!

the angle of elevation of the top of the mast from a point 53m to its base on level ground is 61°. find the height of the mast to the nearest meter

Answers

the answer Is 95.61465. If you approximate you get 10.

Someone pls answer all?

Answers

A
B
A
Pretty sure this is correct

Answer: hello there here are your answers:

5) Associate property  of addition

6) Multiplicative identify

7) additive identify

Step-by-step explanation:

5) that is correct because you are changing the numbers in the ()

6) because it the same numbers and variables just placed in a different way

7)  its cleaves the system changed with any element added

hope this help have a good day

. Which equation represents y = −x2 + 4x − 1 in vertex form?

Answers

Answer:

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

2

,

3

)

Step-by-step explanation:

A rectangle has dimensions of 7 in. by 5 in. Consider the solid of revolution formed when the rectangle is rotated about its 7 in. side. What is the solid formed by the revolution?
cone cylinder What is the radius (in inches) of the base of the solid of revolution?
in What is the height (in inches) of the solid of revolution?
in Find the exact volume (in cubic inches) of the solid of revolution.

Answers

Answer:

(a) Cylinder, R = 5 in, H = 7 in

(b) Volume = 549.5 cubic inches

Step-by-step explanation:

length, L= 7 in

width, W = 5 in

(a) The solid is cylinder.

Radius, R = 5 in

(b) Height = 7 in

Volume of the cylinder

[tex]V = \pi r^2 h\\\\V = 3.14 \times 5 \times 5\times 7\\\\V = 549.5 in^3[/tex]

How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5.

Answers

Answer:

Option B

Step-by-step explanation:

From the question we are told that:

Demand point [tex]m=5[/tex]

Supply Point [tex]n=6[/tex]

Generally the equation for fixed-requirement constraints is mathematically given by

 [tex]X=m+n[/tex]

 [tex]X=5+6[/tex]

 [tex]X=11[/tex]

Therefore the correct option is

Option B

Find the missing length (picture below)

Answers

Answer:

Step-by-step explanation:

because these are similar triangles, that is, one is a bigger of smaller version of the other, then we know, that the bigger triangle is just 2 times bigger than the smaller,  or   2x of any side of the small one

sooo   2(20) =40  

so we know that side n of the bigger triangle is 40

the table below represents a linear function f(x) and the equation represents a function g (x)

part a: write a sentence to compare thw slope of thw two functions and show thw steps you used to determine the slope of f(x) and g(x).

part b: which function has a greater y-intercwpt? justify your answer ​

Answers

Answer:

Step-by-step explanation:

a). For function 'f',

Slope of a linear function passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

For the function 'f' given in the table,

Slope of the linear function passing through two points (-1, -5) and (0, -1) given in the table,

Slope = [tex]\frac{-5+1}{-1-0}[/tex]

          = 4

Equation of the line passing through a point (0, -1) and slope = 4 will be,

y - y' = m(x - x')

y + 1 = 4(x - 0)

y = 4x - 1

f(x) = 4x - 1

For function 'g',

Equation of the function 'g' has been given as,

g(x) = 4x + 3

By comparing this equation with the slope-intercept equation of a line,

y = mx + b

Therefore, slope of the function 'g' is,

m = 4

Since slopes of both the functions are same, linear graphs of both the functions will be parallel.

b). Equation of the function 'f' is,

f(x) = 4x - 1

y-intercept of the function = -1

Equation of function 'g',

g(x) = 4x + 3

y-intercept = 3

Therefore, function 'g' will have the greater y-intercept.

please help On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:

The x-coordinate is
The y-coordinate is
.
g The point is in quadrant
.

Answers

Answer:

assuming that you start at the origin (0,0)

(-4,-1) would be the poiny

x coord = -4

y coord = -1

the point is in the 3 quadrant

Step-by-step explanation:

a church distributed 1950 boxes of food during a disaster. The food was distributed lasted 30 days. How many boxes of food were distributed on average each day?

Answers

Answer:

Average of 65 boxes each day

Step-by-step explanation:

1950÷30=65

On average they were 65 boxes of food distributor

A line contains the points (3,1) and (-6,4) what is the equation for this line in slope intercept form

Answers

Answer:

y = (-1/3)x + 2

Step-by-step explanation:

Since points (3,1) and (-6,4) lie on y = (-1/3)x + c , it should satisfy the this equation. Thus, intercept is 2.

Answer:

m = -⅓

Step-by-step explanation:

m = (y2- y1)/(x2 - x1)

m = (4 -1)/(-6-3)

m = -⅓

What is the simplest form of 0.0115

Answers

23/200

Hope this helps! :)

Answer:

23/2000

Step-by-step explanation:

0.0115 can be written as 115/10000

=23/2000

Please mark me as brainliest.

Which of the following intergers is least -5+(-2)

Answers

Answer:

I guess the question is incomplete

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