A regular square-based pyramid has a surface area of 33 m2. If its triangular faces have an area of 6 m2, what is the length of the base of the pyramid?

Answers

Answer 1

Answer:

First we can do 33 time 6

Step-by-step explanation:

Answer 2

The length of the base of the pyramid is 3 meters.

What is a square pyramid?

A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

For the given situation,

The surface area of the pyramid = 33 m^2

Area of triangular faces = 6 m^2

Let the base of the pyramid be b and the height be h.

The formula of area of triangle is

[tex]A = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6(2) = (b)(h)[/tex]

⇒ [tex]12 = (b)(h)[/tex]

The formula of surface area of square pyramid is

[tex]SA = b^{2}+2bh[/tex]

⇒ [tex]33=b^{2} +2(12)[/tex]

⇒ [tex]33-24=b^{2}[/tex]

⇒ [tex]b=\sqrt{9}[/tex]

⇒ [tex]b=3[/tex]

Hence we can conclude that the length of the base of the pyramid is 3 meters.

Learn more about square pyramid here

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Related Questions

need help with this please..

Answers

Answer: 20/40 is the same as 20•40 or 1•2 and simplifies to 1/2

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

which of the following is the best estimate of the square root of 90

Answers

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126

Answers

Answer:

∠ 1 = 36°

Step-by-step explanation:

Supplementary angles sum to 180° then

∠ 2 + ∠ 3 = 180° , that is

∠ 2 + 126° = 180° ( subtract 126° from both sides )

∠ 2 = 54°

Complementary angles sum to 90° , then

∠ 1 + ∠ 2 = 90° , that is

∠ 1 + 54° = 90° ( subtract 54° from both sides )

∠ 1 = 36°

plz help me plz and correctly!!!! only 3 questions plz!!!​ 100 points

Answers

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

What is the measure of angle K?
59°
A
m/K
B
g/n
D
A. 180°
B. 58
C. 122
ОО
D. 32

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Answer:

the answer is going to be c

Anyone? Got an ideas

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I’m sure it’s “0.65428571428” There is not while number in the answer

If a=b+7 and b+7=9, then a=9

Answers

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??

Answers

Answer:

The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.

Yea also all of this

Answers

Answer:

yea I cant really do this over a screen

Answer:

16) photo

Step-by-step explanation:

- parallel lines never meet (a, b, c have no points in common)

- perpendicular lines meet other lines at one point, forming two angles of 90 °

helpppppppppp it’s multiple choice questions I’ll brainlist!

Answers

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

the answer to ur question is D

Which is greater 55.5% or 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3 divided by 5 is 0.6, which translates to 60%.

55.5% < 60%

Answer:

3/5 is the greater .

I hope it will help you. Have a great day ahead.

(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:

Answers

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

11. Eve reads 25 pages per hour. Write an expression for the number of pages she reads
in h hours.

Answers

Answer:

25h = x

Step-by-step explanation:

If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!

If she read 1 hour she’d read 25 pages.
So;
25 x 1(total hours) = 25xh = 25h

Here is a room with two lasers. Your goal is to get to the opposite side of the room. However there is a catch; if you do not stay equidistant from each laser, you will be blasted. Describe in a Word document how you would find the straight-line path across the room. Be sure to use correct geometric terminology from what you have learned so far.

Answers

Step-by-step explanation:

we would calculate the line of sight between the 2 lasers.

then we would create a line that goes through the middle point between the 2 lasers and is perpendicular to the line between the lasers. if we are lucky, then "You" is on the same perpendicular line. if not, we need to shift our starting point to a point where the perpendicular line hits the wall of the room.

by following that perpendicular line precisely, we we always have the same distance from both lasers.

gm everyone plz help with this question down below :) Who was Sherlock Holmes?
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(cough cough) free, ,points

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Sherlock Holmes is an fictional detective

How many milligrams are equal to 39 grams?

A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams

Answers

how many milligrams are equal to 39 g is 39,000 which is D

Answer:

39000

1 gram=1000milligrams

hence,

39 grams=39×1000milligrams

=39000milligrams

If a block has a volume of 216 cm³ in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid?​

Answers

Step-by-step explanation:

I hope it helped U

Help! I don’t get this ine

Answers

[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]

This is confusing and makes no sense

Answers

Answer:

A is the answer

rrrrrrrr

Help me with 19 and 20

19 find x

20 find y

Answers

Answer:

19) x = 48

20) y = 21

Step-by-step explanation:

19)

7x - 248 + x + 44 = 180

(because they're supplementary angles)

8x - 204 = 180

8x = 180 + 204

8x = 384

x = 48

20)

2y + 50 + 5y - 17 = 180

7y + 33 = 180

7y = 180 - 33

7y = 147

y = 21

x= -6, Y= 9 and z = -2 evaluate the expression. -5 x Y - (X^4)/ Y-2z

Answers

Answer:

418

Step-by-step explanation:

please make me brainlist

Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km

Answers

Answer:

Exponential notation is a powerful way to express repeated

multiplication of the same number. Specifically, powers of 10

express very large and very small numbers in a manner which is

convenient to read, write and compare.

• For any non-zero integer a, a–m 1

m a

=

• Laws of exponents are

(a) am × an = am+n

(b) am ÷ an = am–n

(c) (am)

n = amn

(d) am × bm = (ab)

m

(e) a° = 1, where a ≠ 0

(f)

m m

m

a a

b b

  =   

• Numbers can be expressed in expanded form by using exponents.

• Very large and very small numbers can be expressed in standard

form.

• Standard form is also called scientific notation form.

Step-by-step explanation:

Example 1 : Multiplicative inverse of 27 is

(a) 2–7 (b) 72 (c) – 27 (d) – 27

Solution : The Correct answer is (a).

Example 2 : The human body has about 100 billion cells. This number

can be written in exponential form as

(a) 10–11 (b) 1011 (c) 109 (d) 10–9

Solution : The correct answer is (b).

In examples 3 to 5, fill in the blanks to make the statements true.

Example 3 :

4

4 5 (– 4) ______ 4

  × =    

Solution : 54

Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =

Solution : 6–6

Example 5 : The distance between earth and sun is 150 million

kilometres which can be written in exponential form as

_______.

Solution : 1.5 × 108 km

In examples 6 and 7, state whether the statements are true (T) or false (F):

Example 6 : Very small numbers can be expressed in standard form

using positive exponents.

Solution : False.

Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4

Solution : False.

Step-by-step explanation:

If 3x = y -5 and x = 4, then y =

Answers

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280

Answers

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

Help please ill give you brainlest
Is this correct??

Answers

Most of those are correct but the ones that are not are, (15+8 divided by 4-6) as division comes first. 6x3-8 as multiplication comes before subtraction. And 2/3+4x2, multiplication comes before addition. So change those couple up and you got it.

the number of people left to play if ten of fifteen have played

Answers

Answer:

5

Step-by-step explanation:

15-10=5

length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is​

Answers

Answer:

The length of the feild is:

    (42 / 3) x 5 = 70m

So the length of the feild is 70m

Hope it helps, Brainliest  please <3

A restaurant chef wants to install a new floor In her kitchen the kitchen measures 8 yards wide and 12 yards long, and the flooring costs $3.00 per square yard. How much will the chefs new floor cost?

Answers

$228 is your correct answer

V= 1/3Bh solve for H

A. 3b/v

B. b/3v

C. v/3b

D. 3v/b

Answers

Answer: D

Step-by-step explanation:

v = 1/3bh

3v/b = h

Find the missing number so that the equation has no solutions.
x–10=

2x–15

Answers

Answer:

X=-5/3

Step-by-step explanation:

Other Questions
Which type of map would best show where iron ore is located in a regionA resource mapA political mapA thematic mapA choropleth map what character is interpretation or analysis Help me with 19 and 2019 find x20 find y Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280 3=g/-4-5 ((for 25 points)) Which change of state is shown in the model?A. condensationB. evaporationC. sublimationD. deposition Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon384400 km = 3.844 10 km If a block has a volume of 216 cm in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid? Which is greater 55.5% or 3/5 How many milligrams are equal to 39 grams?A 390 milligramsB 390,000 milligramsC 3,900 milligramsD 39,000 milligrams For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!?? A number to be a rational number that is not an integer but a while number Do the work right now If you were the princess, which door who you have sent the lover to and why? helpppppppppp its multiple choice questions Ill brainlist! help me please i dont understand If I have 500 and have a 6% annual interest how long will it take to get 2000 which of the following is the best estimate of the square root of 90 which artwork is nonrepresentational? How many times a day do people typically wash their hand