Find the lateral surface area of the
following prism:
5 cm
5 cm
-apothem = 3.44 cm
5 cm
5 cm
10 cm
5 cm

Find The Lateral Surface Area Of Thefollowing Prism:5 Cm5 Cm-apothem = 3.44 Cm5 Cm5 Cm10 Cm5 Cm

Answers

Answer 1

Answer:

250 cm²

Step-by-step explanation:

Lateral area of the prism is,

5×10×5

= 250 cm²

Answer 2

Lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].

What is lateral surface area?

" Lateral surface area is defined as the sum of  area of the all the surfaces except top and bottom of the given geometrical shape."

Formula used

Lateral surface area of pentagonal prism [tex]=5ah[/tex]

[tex]a=[/tex] edge length of the base

[tex]h=[/tex] height of the prism

According to the question,

For the given pentagonal prism,

Edge length of the base [tex]'a' = 5cm[/tex]

Height of the prism [tex]'h' = 10cm[/tex]

Substitute the value in the formula of lateral surface area we get,

Lateral surface area of pentagonal prism [tex]= 5 \times 5\times 10[/tex]

                                                                      [tex]= 250cm^{2}[/tex]

Hence, lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].

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Related Questions

find the equation of the line of gradient 3 which passes through the point (0, 2).​

Answers

Answer:

The answer is y = 3x + 2

Step-by-step explanation:

To find the equation of the line given a point and the gradient, the formula to use is

y - y1 = m(x - x1)

where

m is the gradient and

( x1 , y1) is the point

From the question

The point is (0 , 2)

The gradient is 3

Substitute the values into the above formula

That's

y - 2 = 3( x - 0)

y - 2 = 3x

The final answer is

y = 3x + 2

Hope this helps you

how many unique 10 digit numbers can be formed if the number 2 is in the first place and repetition is allowed?

Answers

Answer:

362880 ways

Step-by-step explanation:

Given

10 digits

Required

Number of 10 digits that can be formed if no repetition and 2 must always start;

Since digit 2 must always start and no repetition is allowed, then there are 9 digits left

Digit 2 can only take 1 position

9 digits can be arranged without repetition in 9! ways;

Calculating 9!

[tex]9! = 9 * 8 *7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]9! = 362880[/tex]

Number of arrangement  = 1 * 362880

Number of arrangement  = 362880 ways

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = -16(t - 7)(t + 2). What is a reasonable time for it to take the baseball to land on the ground?

Answers

Answer:

  7 seconds

Step-by-step explanation:

We assume h(t) represents the height above ground, so that h(t) = 0 will be the point where the ball hits the ground.

The factored form of the equation tells us ...

  h(7) = -16(7 -7)(7 +2) = 0

So, the baseball will land on the ground when t=7, seven seconds after first being thrown into the air.

_____

The other value of t that makes h(t) = 0 is -2. Since we only count time after the ball is thrown, t=-2 is an extraneous solution.

Use the points slope formula..

Answers

Answer:

y = -5/14 -13/7

Step-by-step explanation:

First find the slope

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

m = (1 - -4)/(-8 - 6)

    = (1+4)/(-8-6)

   = 5/-14

   =-5/14

Point slope form is

y-y1 = m(x-x1)

y - -4 = -5/14(x-6)

y+4 = -5/14(x-6)

We want the equation in slope intercept form y = mx+b

Distribute

y+4 = -5/14x + 15/7

Subtract 4 from each side

y+4 -4= -5/14x + 15/7-4

y = -5/14x +15/7 - 28/7

y = -5/14 -13/7

6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.

Answers

Answer:

should be 15.

Step-by-step explanation:

Valerie invested $150 at the beginning of each quarter in stock XYZ.
According to the table below, which quarter would have been the optimal
investment period if she had chosen to invest her money as a lump sum?
XYZ
01
02
Q3
Stock Price
$12.75
$12.25
$11.50
$11.75
Q4
O A. Q4
O B. 03
O C. 01
D. Q2​

Answers

Answer:

Quarter 3

Step-by-step explanation:

The quarter that would have been the optimal investment period is the third quarter.

What is the optimal investment period?

Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.

The optimal investment period is the period when the stock price is the lowest. This is the third quarter.

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after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount​

Answers

Answer:

Hi, there!!!

The solutions in pictures will help you.

Best of luck....

Given the right triangle below, if AB = 4 and BC = 4, find AC.
A
B
C

Answers

The length of AC is found using the Pythagorean theorem which is a^2+b^2=c^2.

In this case your equation would look like 4^2+4^2=c^2.
Four to the power of two is 16 so 16+16=c^2.
16+16=32
32=c^2
Root 32 = c

Length AC is root 32.

AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.

What is Pythagoras' Theorem?

According to Pythagoras' Theorem, in a right triangle, the square of the length of the longest side, that is, the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.

How to solve the question?

In the question, we are given a right triangle, with sides AB = 4 and BC = 4.

We are asked to find AC.

To find AC, we will use the Pythagoras theorem, according to which, we can write:

AC² = AB² + BC²

or, AC² = 4² + 4²,

or, AC² = 16 + 16,

or, AC² = 32,

or, AC = √32,

or, AC = √(16 * 2) = 4√2.

Therefore, AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.

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Can anyone help me with this please and maybe explain it?..

Q. A factory uses 800 watts of electricity in 40 minutes. How many watts does it uses in 3 hours?​

Answers

Answer:

3600 i think

Step-by-step explanation:

3,600 divide 800 by 40, u get 20 multiply that by 180

BRAINIEST!!! only answer if you know and can give an explanation, will report for non-sense answers

Answers

Answer:

Below

Step-by-step explanation:

For a given shape to be a rhombus, it should satisfy these conditions:

● The diagonals should intercept each others in the midpoint.

● The diagonals should be perpendicular.

● The sides should have the same length.

We will prove the conditions one by one.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals are perpendicular:

To do that we will write express them as vectors

The two vectors are EG and DF.

The coordinates of the four points are:

● E(0,2c)

● G (0,0)

● F (a+b, c)

● D (-a-b, c)

Now the coordinates of the vectors:

● EG (0-0,0-2c) => EG(0,-2c)

● DF ( a+b-(-a-b),c-c) => DF (2a+2b,0)

For the diagonals to be perpendicular the scalar product of EG and DF should be null.

● EG.DF = 0*(2a+2b)+(-2c)*0 = 0

So the diagonals are perpendicular.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals intercept each others at the midpoints.

The diagonals EG and DF should have the same midpoint.

● The midpoint of EG:

We can figure it out without calculations. Since G is located at (0,0) and E at (0,2c) then the distance between E and G is 2c.

Then the midpoint is located at (0,c)

● The midpoint of DF:

We will use the midpoint formula.

The coordinates of the two points are:

● F (a+b,c)

● D(-a-b,c)

Let M be the midpoint of DF

●M( (a+b-a-b,c+c)

● M (0,2c)

So EG and DF have the same midpoint.

■■■■■■■■■■■■■■■■■■■■■■■■■■

There is no need to prove the last condition, since the two above guarante it.

But we can prove it using the pythagorian theorem.

Given the following angles, what ray is the common side of ZCFD and ZDFE?
D
E
0
Ray FD
Ray FE
Ray FC

Answers

Answer:

ray df or ray fd because both of these letters are consecutive in both of the angles.  

Step-by-step explanation:

Answer:

Answer is Ray FD

Step-by-step explanation:

Given the following angles, what ray is the common side of ∠CFD and ∠DFE?

A. Ray FC

B. Ray FE

C. Ray FD

The equation y=ax described the graph of a line. If the value of a is negative the line:

Answers

Hi

if " a" is negative then the line goes from up left corner to down right corner.

it's mean decreasing groth. value get more and more negative toward negative infinity as x is going upward to positive infinity.

A landscaping company placed an order for 40 new trees. The red oak trees cost $25 a piece and the sugar maples trees cost $18. If the total order was for $790, how many of each type of tree did they order?

Answers

Answer:

its 30 sugar maple trees and 10 red oak trees

Step-by-step explanation:

Number of red oak trees = 10

And, Number of sugar maples trees = 30

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A landscaping company placed an order for 40 new trees.

And, The red oak trees cost $25 a piece and the sugar maples trees cost $18. the total order was for $790.

Let number of red oak trees = x

And, Number of sugar maples trees = y

Hence, We can formulate;

⇒ x + y = 40

⇒ 25x + 18y = 790

By solving we get;

y = 30

x = 10

Thus, Number of red oak trees = 10

And, Number of sugar maples trees = 30

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32.
What is the value of x for ∆DEF?

HELP! Answer if you can!!​

Answers

Step-by-step explanation:

[tex]c^{2} = {a}^{2} + { b}^{2} [/tex]

Pythagoras theorem

x²=12² + 5²

x²=144+25

x²=169

[tex]x = \sqrt{169} [/tex]

x=13

Answer:

x = 13

Step-by-step explanation:

Using the Pythagorean Theorem to find the missing hypotenuse side:

[tex]a^2+b^2=c^2[/tex]

12 and 5 are a and b. 'x' would be c.

[tex]12^2+5^2=c^2\\\\12^2=144\\5^2=25\\\\144+25=c^2\\\\169=c^2\\\\\sqrt{169}=\sqrt{c^2}\\\\\boxed{13=c}[/tex]

'x' should be equal to 13.

A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?

Answers

Answer:

1,000

Step-by-step explanation:

First, there are 10,000 cents in $100.

So divide 10,000 by 10. (because 1 pencil is 10 cents)

1,000.

I hope this helps!

pls ❤ and mark brainliest pls

Please help me with these questions please.

Answers

Answer:

see image

Step-by-step explanation:

A man gave his 8000$ as pocket money and his son 1000$ less.Express the girls money as a percentage of the total sum of money.​

Answers

Answer:

About 89%

Step-by-step explanation:

8000 + 1000 = 9000.

To find the girls money as a percentage of the total sum of money, you must take 8000 and divide it by 9000.

8000/9000 = .8888 = 88.88 = 88.9% or about 89%.

What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point (-3,1)

Answers

Answer:

see explanation

Step-by-step explanation:

The minimum is at the vertex (- 3, 1 ), that is y = 1

Since the graph is a minimum then it opens vertically up U

The range of the values of y are therefore

range [ 1, ∞ )

Answer:

Graph would be nice.

Step-by-step explanation:

y=-2x+4 missing value

Answers

Answer:

y=-2x+4

x | y

0 | 4

2 | 0

Step-by-step explanation:

(x-1)(x+2)(x-3)(x+7)(x-5)/2x-2

=0

What can x be?

Answers

Answer:

see below

Step-by-step explanation:

Multiplying the equation by 2x - 2 on both sides to cancel out the denominator gives us (x - 1)(x + 2)(x - 3)(x + 7)(x - 5) = 0. Using Zero Product Property and setting each factor to 0, we get:

x - 1 = 0 or x + 2 = 0 or x - 3 = 0 or x + 7 = 0 or x -  5 = 0

x = 1, x = -2, x = 3, x = -7, x = 5

Unfortunately, x cannot be 1 as the numerator would become 0 and then the expression on the left side would become undefined so the final answer is x = -2, x = 3, x = 7, x = 5.

I need help ASAP!! Please explain how to solve the problem

Answers

Answer:

B=.5*8*6=.5*48=24

h = 8

P=10+6+8=24

Surface area =2*24+24*8=48+192=240

Step-by-step explanation:

The base is a triangle, and the area of a triangle is 1/2 base (or width) times height (or length). In this case, base is 8 and height is 6, so the area can be found either by multiplying .5*8*6 or by dividing 8*6 by 2, either of which will give you the same answer of B=24.

Height is given, h=8.

Perimeter is simply the sum of the sides, which are given, so the perimeter is 8+6+10=24.

The formula for surface area is given, so all you need to do is plug in your previous answers and you've got it!

50.For the direct variation such that when y = 2 then x = 3, find the constant of variation ( k ) and then find the value of y when x = –0.5.

Answers

Step-by-step explanation:

Since it's a direct variation

y = kx

where k is the constant of proportionality

To find the value of y when x = –0.5 we must first find the relationship between the variables

When

x = 3

y = 2

2 = 3k

Divide both sides by 3

[tex]k = \frac{3}{2} [/tex]

So the formula for the variation is

[tex]y = \frac{3}{2} x[/tex]

When x = - 0.5 or - 1/2

[tex]y = \frac{3}{2} ( - \frac{1}{2} )[/tex]

We have the final answer as

[tex]y = - \frac{3}{4} [/tex]

Hope this helps you

Find the coordinates of point Q that lies along the directed line segment from R(-2, 4) to S(18, -6) and partitions the segment in the ratio of 3:7.

Answers

Answer:

The coordinates of the point Q is (4, 1)

Step-by-step explanation:

The given parameters are;

The directed line segment  extends from R(-2, 4), to S(18, -6)

The ratio in which the point Q partitions the directed line segment = 3:7

Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS

Which gives;

(-2 + (18-(-2))×3/10,  4 +(-6 -4)×3/10) which is (4, 1)

The coordinates of the point Q = (4, 1)

We check the length from R to S is given by the relation for length as follows

[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

R(-2, 4) = (x₁, y₁)

S(18, -6) = (x₂, y₂)

Length of segment RS  = 22.36

length from R to Q = 6.7086

We check RQ/RS = 6.7082/22.36 = 0.3

Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7

The coordinates of the point Q = (4, 1).

simplfy given equation using the distributive property 6 - (3x+10) + 4(2 - x) =15

Answers

Answer:

see below

Step-by-step explanation:

6 - (3x+10) + 4(2 - x) =15

Distribute

6 - 3x -10 +8 -4x = 15

Combine like terms

4 -7x = 15

Subtract 4 from each side

4 -7x-4 =15-4

-7x =11

Divide each side by -7

-7x/-7 = 11/-7

x = -11/7

Daniel took her dog for a walk. She decided to count how many dog ears. She passed on her walk. She passed 14 dogs. How many ears did she count?

Answers

Answer:

Each dog has 2 ears (unless a dog had genetic disorder)

So-

14 x 2

= 28

So she counted of 28 Ears of total

(honestly that's a weird thing to do but ok)

Answer:

14 x 2 = 28

Step-by-step explanation:

Each dog has 2 ears

14 dogs has 28 ears


There is a sequence of rigid transformations that takes A to A', B to B', and C to "
same sequence takes D to D'. Draw and label D':

Answers

Answer:

I think it's D

Step-by-step explanation:

Answer:  I think its D

Step-by-step explanation:

Rigid transformation moves a shape without changing the size of the shape.

See attachment for the diagram that shows the position of D'

If x= √3+√2/√3-√2 find (i) x^2+1/x^2 (ii) x^4+1/x4.
Please give the right answer.

Answers

Answer:

i)= 98     ii)= 9602

Step-by-step explanation:

hope it helps

I'LL GIVE BRAINLIEST !! FASTER

please provide explaination​

Answers

Answer:

532

A

Step-by-step explanation:

A=86

B=180

C=94

D=266

now,

a+b+c+d_94

=86+180+94+266_94

=532

PLEASE HELP!!!
Write the correct geometric sequence formula for each of the sequences listed below

1st sequence:
1,3,9,27,…

2nd sequence:
400,200,100,50,…

3rd sequence:
4,8,16,32,…

4th sequence:
400,100,25,6.25,…

5th sequence:
1,5,25,125,…

6th sequence:
1000,500,250,125,…

7th sequence:
2,10,50,250,…

What are the geometric formulas???

Here are the options:
A.) y=1600(0.25)^x
B.) y=800(1/2)^x
C.) y=2/5(5)^x
D.) y=1/5(5)^x
E.) y=2000(1/2)^x
F.) y=1/3(3)^x
G.) y=2(2)^x

Please match the formulas with the correct sequence.

It’s a lot I know but I just absolutely suck at this stuff.

Answers

Answer:

1st sequence is F

2nd sequence is B

3rd sequence is G

4th sequence is A

5th sequence is D

6th sequence is E

7th sequence is C

Step-by-step explanation:

A) 1600*0.25= 400- the first term of the sequence

1600*0.25^2= 100- the second term

so it is 4th sequence

B) y=800* (1/2)^x

The first term is 800*1/2=400

The second term is 800*(1/2)^2= 800*1/4=200

the 2nd sequence

C) y= 2/5*5^x

The first term is y=0.4*5=2

The second term is y= 0.4*5^2=10

7th sequence

D) y=1/5* 5^x

The first term is y=1/5*5=1

The second term is y= 1/5 *5*5=5

The 5th sequence

E) y=2000*(1/2)^x

The first term of 2000*1/2=1000

The only sequence with such the first term is 6th sequence

F) y=1/3*3^x

y= 1/3*3=1 - the first term

y= 1/3*3*3=3

1st sequence

G) y= 2*2^x

y=2*2= 4 - the first term

it is the third sequence

8(-7+n)=-128 please help ​

Answers

n = -9
8(-7+n) = -128
Divide both sides by 8
-7 + n = -16
Add 7 to both sides
n = -9
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