The base of a square pyramid is 6 inches and the height is 8 inches. Find the slant height of the pyramid.

Answers

Answer 1

Answer:

the slant height of the pyramid = 8.54 in

Step-by-step explanation:

The slant height, height and half of the side of square makes a right angle triangle in a square base pyramid.

Let slant height be l, then 3(base), 8(perpendicular) and l(hypotenuse) make a right angle triangle.

Therefore by Pythagoras principle

l^2 = 8^2+ 3^2

⇒l = √(64+9) = √73

l = 8.54 in

the slant height of the pyramid = 8.54 in


Related Questions

dude sombody pleasee help me nobody is taking it seriously:(​

Answers

Answer:

(9, 5) or (0, 14)

Step-by-step explanation:

4+2+3+2=9

please help. my grade in math is terrible all i want is help please.

Charmaine buys candy that costs $5 per pound. She will spend less than $45 on candy. What are the possible numbers of pounds she will buy?
Use P for the number of pounds Charmaine will buy.
Write your answer as an inequality solved for P.

Answers

Answer:

45 divided by 5 = p

p= 9.

....

If a circle has a diameter of 8cm, what is the radius of this circle?

Answers

Answer:

r=4cm

d Diameter

cm

d

r

r

r

d

d

C

A

Unit Conversion:

d=8cm

Using the formula

d=2r

Solving forr

r=d

2=8

2=4cm

Step-by-step explanation:

.A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?

Answers

Answer: 15 / 56

Step-by-step explanation:

Number of red checkers = 3

Number of black checkers = 5

Total number of checkers = 8

P(black, then red) = 5/8 × 3/7 = 15/56

We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.

How much annual income would you need to have if, using the 28/36 ratio, your maximum allowable recurring debt is $500? A. $21,430 b. $30,000 c. $62,500 d. $75,000

Answers

Answer: $75,000

Step-by-step explanation:

The 28/36 rule is that the maximum that the person is to spend on household expenses is 28% of their monthly income. 36% of their monthly income is the maximum they can spend on debt and their household expenses.

This means that the maximum they are allowed to spend on debt is:

= 36 - 28

= 8%

If their maximum allowable debt is $500, this is 8% of their gross income. This Gross monthly income is therefore:

500 = x * 8%

= 500/ 8%

= $‭6,250‬

Their gross annual income is:

= 6,250 * 12

= $75,000

Answer:

$75,000

Step-by-step explanation:

e d g e

Help plz

What different and similar between Rectangle and square

Answers

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

Definition of Square and Rectangle
Square: A square is a closed two-dimensional plane figure with four sides. All the four sides of the square are of equal measure. Also, the four interior angles of a quadrilateral are of 9o degrees. In other words, a square is considered as a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered as an equiangular quadrilateral.

Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other. It means that the opposite faces of the rectangle are of equal measure. A rectangle has four angles, each measuring about 90 degrees. As like square, a rectangle is also called an equiangular quadrilateral.

Help me if you know how to do this!!!

Answers

Answer:

Volume = 1099 cm³

Step-by-step explanation:

Volume = πr²h = 3.14(5²)(14) = 1099 cm³

How many solutions does. y = -5x + 6
y = 6 - 5x

Answers

Answer: Infinite solutions

Step-by-step explanation:

This system of equations becomes infinite solutions.

Which of the numbers below is irrational? Select all that apply.
A) 2.75
B) −16
C) 19−−√
D) 23−−√

Answers

Answer:

C and D

Step-by-step explanation:

both the squareroot of 19 and 23 are irrational because their square toots have decimals that go on infinately

v²= u²+ 2as, then s write as an fraction​

Answers

Answer:

[tex]s=\frac{v^2-u^2}{2a}[/tex]

Step-by-step explanation:

v²= u²+ 2as

v² - u² = 2as

[tex]s=\frac{v^2-u^2}{2a}[/tex]

Can someone please help me

Answers

9514 1404 393

Answer:

  f(x) = 3x³ +6x² -3x -6

Step-by-step explanation:

Each x-intercept (x=p) gives rise to a factor (x-p), so the factored form of the function is ...

  f(x) = a(x -(-2))(x -(-1))(x -1)

The value of 'a' is chosen to make the y-intercept match that shown. The function just written has ...

  f(0) = -6 = a(2)(1)(-1)

  -6 = -2a

  a = 3 . . . . . divide by -2

So, the function in factored form is ...

  f(x) = 3(x +2)(x +1)(x -1)

Expanded, this is ...

  f(x) = 3x³ +6x² -3x -6

Find x and y with ray theorem

Answers

Answer:

x = 12 and y = 9

Step-by-step explanation:

Using the similarity theorem to fid the value of x and y

16/x = 16+6/16.5

16/x = 22/16.5

22x = 16*16.5

22x = 264

x = 264/22

x =12

Similarly

24/x = 24+y/16.5

24/12 = 24+y/16.5

2 = 24+y/16.5

24+y = 2 * 16.5

24+y = 33

y = 33-24

y = 9

Hence x = 12 and y = 9

Which of the following tables does not represent a linear relationship between x and y?

Answers

Answer:

The first one is not liner

Step-by-step explanation:

This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate

find the area. Round to the nearest whole number.

Answers

Answer:

23.

the answer is 33. But when i round its 23.

Step-by-step explanation:

in the figure below, lines m and n are parallel. What is the value of x?

Answers

Answer:

x = 51

Step-by-step explanation:

It looks like alt int. angles (correct me if im wrong)

3x - 40 = 2x + 11

x = 51

Help please !!!

Here are two equations. One defines function m and the other defines function p. m(x) = x(x + 6) p(n) = (x + 3) ^ n - 9

A. Are the equations equivalent? _________

B. What is the vertex of the graph of m? ____________

C. What are the x-intercepts of p? ____ and ____

D .function m is written In _____

F. Function p is written in _____

Answers

C is the best answer choice

Lashawna is making jewelry to sell at a craft fair. On Monday, she makes 12 bracelets. On Tuesday, she works an additional 2.5 hours and has a total of 22 bracelets. Determine the time it takes Lashawna to make one bracelet

Answers

Answer:

ok, so she made 10 bracelets in 2.5 hours. 22-12= 10

2.5 ÷10= .25 hours per bracelet

an hour is 60 minutes, so .25 x60= 15 minutes per bracelet

Given the definitions of f(x) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x^2 + 6x – 8

I don’t need work I am just looking for the answer !

Answers

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6 ( 2x - 10) - 8

gf(x) = 12x- 60 - 8

gf(x) = 12x -68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

helllohello help please if you want -

Answers

Hey Hey! It's me again!

Answer:

The variable u divided by the variable x.

8. Identify the x and y intercept of the equation:
12x - 8y = 48

Answers

Answer:

X- intercept(S) : (4,0)

Y- Intercept(S) : (0, -6)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for Y.

Hopes this helps!

The x- intercept (4, 0) and y intercept ( 0, -6).

What is Intercept?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

when the independent variable is 0 and you want to know the value of the dependent variable (zero).

Given:

Equation: 12x - 8y = 48

Now, for x- intercept put y= 0

12x - 8(0)= 48

12x= 48

x= 4

and, for y- intercept put x= 0

12(0) - 8y= 48

-8y= 48

y= -6

Hence, the x- intercept (4, 0) and y intercept ( 0, -6).

Learn more bout intercept here:

https://brainly.com/question/14180189

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The upper-left coordinates on a rectangle are (-1, 7), and the upper-right coordinates are (4,7). The rectangle has an area of 20 square units. Draw the rectangle on the coordinate plane below.

Answers

Answer:

The answer is below

Step-by-step explanation:

The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:

[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]

Area = length * breadth

20 = 5 * breadth

breadth = 4 units

The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)

The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:

[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]

Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)

Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)

A furniture store pays a wholesale price for a mattress.
Then, the store marks up the retail price to 150% of the
wholesale price. Later, they put the mattress on sale for
50% off of the retail price. A customer just bought the
mattress on sale and paid $1,200.
a. What was the retail price of the mattress, before the
discount?

Answers

Answer:

Step-by-step explanation:

Part A:

Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then

50% of x = 1200

⇒ 0.5x = 1200

⇒ x = 1200 / 0.5 = 2400

Therefore, the retail price of the mattress, before the discount is $2,400.

Part B:

Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then

(100% + 150%) of p = 2400

250% of p = 2400

2.5p = 2400

p = 2400 / 2.5 = 960.

Therefore, the wholesale price, before the markup was $960

HELP

2. Find the unit rate demonstrated in the graph
below.

A. 9 miles per hour
B. 4.5 miles per hour
C. 3 miles per hour
D. 1.5 miles per hour

Answers

B

Find the slope then covert to a decimal

The unit rate of demonstrated in the graph will be 4.5 miles per hour. Then the correct option is B.

What is the rate?

The rate is the proportion of how much something is to the unit. For instance - Assuming that the speed of the vehicle is 20 km/h it implies the vehicle voyages 20 km in 60 minutes.

The incline is the proportion of rising or falling and running. The contrast between the ordinate is called rise or fall and the distinction between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, take two points from the graph which are (0, 0) and (27, 6).

Then the unit rate demonstrated in the graph will be given as,

Rate = (27 - 0) / (6 - 0)

Rate = 27 / 6

Rate = 4.5 miles per hour

The unit rate of demonstrated in the graph will be 4.5 miles per hour. Then the correct option is B.

More about the rate link is given below.

https://brainly.com/question/14731228

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Which equation has a slope of 3?

y=3y is equal to 3

y=3−xy is equal to 3 minus x

y=3x−1y is equal to 3 x minus 1

y=x+3

Answers

Answer:

the third one

Step-by-step explanation:

slope intercept form is y = mx + b

where m = slope

for the third one m = 3

therefore the third one is the correct answer

hi please answer this xoxo will mark brainliest

Answers

since isosceles has 2 sides that are equal then,

270 - 108 = 162

divide 162 by 2

162 ÷ 2 = 81

so, C

Answer:

A.)

Step-by-step explanation:

108 + 100 + 62 = 270

Perform the indicated operation. m/m+n + n/m+n

Answers

Answer:

(2mn+m+n)/2

Step-by-step explanation:

License plate in a particular state display 3 letters followed by 3 numbers how many different licenses plates can be for this state

Answers

Answer:

What state? There is no state there

please help out!!!!!

Answers

Answer:

SSS

Step-by-step explanation:

It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle

-6x²-11x-4 which equatin is equivalent

Answers

-(2x+1)(3x+4)
It’s just a guess??
It’s actually (-3x-4)(2x+1)

Nekesa woke up at half past six in the
morning. What time did she woke up
a.m/p.m?​

Answers

Step-by-step explanation:

She woke up at 6:30 am

am is in the morning from 12:01am at midnight to 12:00 am in the afternoon

pm is the afternoon/evening which is from 12:01 pm in the afternoon and it goes until 12:00 pm at midnight.

Hope that helps :)

Answer:

Step-by-step explanation:

So if she woke up at more than 6:30 it is in the a.m because she woke up in the morning .

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