The square pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
A. 3.70 yd
B. 3.90 yd
C. 4.21 yd
D. 4.68 yd

The Square Pyramids Are Similar. Find The Volume Of The Smaller Pyramid. Round Your Answer To The Nearest

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Since the pyramids are similar, the scale factor will be 3. So the height of the small pyramid is 6.3/3=2.1. The volume will be (1/3)*(2.1)*(2.3)^2=3.70

Answer 2

The volume of smaller square pyramid is 3.703 cubic yards. Therefore, option A is the correct answer.

What are similar figures?

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.

Given that, the two square pyramids are similar.

Let the height of smaller square pyramid be h.

As we know, when two geometrical figures are similar, their sides will be in proportion.

Now, 6.9/2.3 = 6.3/h

3=6.3/h

h=2.1 yd

The volume of square based pyramid =a²h/3.

Thus, volume = (2.3²×2.1)/3

= 11.109/3

= 3.703 cubic yards

Therefore, option A is the correct answer.

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Related Questions

It is believed that the average amount of money spent per U.S. household per week on food is about $99, with standard deviation $10. A random sample of 25 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.

Answers

Answer:

H0 : μ = 99

H1 : μ > 99

Z statistic = 0.5

Result is not significant at 5% level ;

Step-by-step explanation:

Given that :

σ = 10

μ = 99

Sample size, n = 25

H0 : μ = 99

H1 : μ > 99

The test statistic :

(xbar - μ) ÷ (σ/√(n))

Since the population standard deviation is known, we use the Z statistics.

Z = (100 - 99) ÷ (10/√(25))

Z = 1 / 2

Z = 0.5

The Z critical value at α = 0.05

Zcritical = 1.645

Zstatistic < Zcritical ; Hence, we fail to reject the H0.

Which of the following shapes is the cross-section for a cone?

O A. Pentagon
O B. Square
O C. Triangle
O D. Circle

Answers

Answer:

The choose (D)

D. Circle

I hope I helped you^_^

The required cross-section for a cone is a circle. Option D is correct.

What is a conic section?

A conic section is a geometric shape that is obtained by intersecting a cone with a plane. Conic sections include circles, ellipses, parabolas, and hyperbolas.

The type of conic section that is formed depends on the angle of the plane relative to the axis of the cone, as well as the distance of the plane from the vertex of the cone.

Here,
The cross-section of a cone is a circle.

A cross-section is a shape that you get when you slice a 3D object with a plane. If you slice a cone parallel to its base, you get a circle as the cross-section.

Therefore, the correct answer is option D.

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HELP PLS HELP MEEEEE IM FAILING PYTHAGOREAN THEOREM

Answers

7^2 + 6^2 = h^2

49 + 36 = h^2

85 = h^2

√85 = h

h = 9.21m

Answered by Gauthmath must click thanks and mark brainliest

Solve the simultaneous equation, will give out brainliest answer

a=bcd
a+b=cd
a+b+c=d
a+b+c+d=1​

Answers

Answer:

a = 1/42, b = 1/7, c = 1/3 and d = 1/2

Step-by-step explanation:

a = bcd (1)

a + b = cd (2)

a + b + c = d (3)

a + b + c + d = 1  (4)​

Substituting equation (3) into equation (4), we have

a + b + c = d (3)

a + b + c + d = 1  (4)​

(a + b + c) + d = 1  (4)​

d + d = 1  (5)

2d = 1

dividing through by 2, we have

d = 1/2

Taking equation (2) and equation (3), we have

a + b = cd (2)

a + b + c = d (3)

substituting equation (2) into equation (3), we have

a + b = cd (2)

(a + b) + c = d (3)

cd + c = d

Factorizing, we have

c(d + 1) = d

dividing through by d + 1, we have

c = d/(d + 1)

substituting d = 1/2 into the equation, we have

c = d/(d + 1)

c = 1/2 ÷ (1/2 + 1)

c = 1/2 ÷ 3/2

c = 1/2 × 2/3

c = 1/3

Taking equations (1) and (2), we have

a = bcd (1)

a + b = cd (2)

Substituting equation (1) into (2), we have

a = bcd (1)

a + b = cd (2)

bcd + b = cd (2)

Factorizing, we have

b(cd + 1) = cd

dividing through by (cd + 1), we have

b = cd/(cd + 1)

substituting the values of c and d into the equation,, we have

b = cd/(cd + 1)

b = 1/3 × 1/2/(1/3 × 1/2 + 1)

b = 1/6/(1/6 + 1)

b = 1/6 ÷ 7/6

b = 1/6 × 6/7

b = 1/7

Since a = bcd, substituting the values of b,c and d into the equation, we have

a = bcd

a = 1/7 × 1/3 × 1/2

a = 1/42

So, a = 1/42, b = 1/7, c = 1/3 and d = 1/2

Robi bought a toy car for $x. He sold it at a loss of 10%. Find the expression
for the selling price.

Answers

Step-by-step explanation:

loss amount'= loss% × C.P

=10/100 × x

=0.1 x

Again,

S.P = C.P - Loss amount

=$x - $0.1 x

=0.9 x

The expression for the selling price is:

0.9x

What is selling price and cost price and its formula?

Cost Price: The price paid for an item is referred to as its cost price (C.P.). The price at which an item is purchased is referred to as its selling price (S.P.).

Profit or Gain: The seller is considered to have profit or gain if SP exceeds CP.

Solution:

Given, loss percent is = 10%

          cost price of the toy car is = $x

Therefore the loss amount is: loss% × C.P

                                              = 10/100 × cost price

                                              = 0.1x

Now, for the selling price expression:

                          selling price (SP) = Cost price ₋ Loss amount

                                                      = $x ₋ $0.1x

                                                      = 0.9x

Hence we get the desired expression for the selling price as 0.9x.

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SOMEONE HELP ME PLEASE

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.

Answers

Answer:

basically this is just 5! (five factorial) which is 120

the formal formula would be

n!/(n-r)! = 5!/(5-5)! = 5!/0! = 5! = 120

Step-by-step explanation:

The number of the ways that can be used to set the digital lock will be 120.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Decide if the following scenario involves a permutation or combination. Then the number of possibilities will be

You are setting the combination on a five-digit lock.

You want to use the numbers 12345, but you don't care what order they are in.

Then the number of the ways that can be used to set the digital lock will be

⇒ 5!

⇒ 5 x 4 x 3 x 2 x 1

⇒ 120

The number of the ways that can be used to set the digital lock will be 120.

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Pls what is the formula for finding the base and the height of a triangular pyramid.

Answers

Answer:

Take the Cubits and multiply

Step-by-step explanation:

This is a problem i had so just fill it in to your numbers etc.

A= 43.3 cubits squared

SA= the base of A +1/2 (p x slant h)

SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)

To sum it up u can message me ur numbers and ill help

Which expressions in the picture are equivalent to (v^-1)^1/9? Choose all answers that apply:

Answers

Answer:

All of them: A, B, and C

Step-by-step explanation:

Answer:

A, B, and C

Step-by-step explanation:

Recall the exponent property [tex](a^b)^c=a^{(b\cdot c)[/tex].

Therefore,

[tex](v^{-1})^{1/9}=(v^{1/9})^-1=v^{-1/9}[/tex]

In addition, fraction exponents can be written as radicals such that:

[tex]a^{b/c}=\sqrt[c]{a^b}[/tex]

Thus, [tex](\sqrt[9]{v})^{-1}=(v^{1/9})^{-1}=(v^{-1})^{1/9}[/tex].

Therefore, answer choices A, B, and C are correct.

Brianna's Bakery offers 3 flavors of bagels. Customers can choose from plain, cinnamon, or blueberry bagels. Yesterday, a customer ordered 144 bagels for a company meeting. The order was for twice as many blueberry bagels as plain bagels and 3 times as many cinnamon bagels as blueberry bagels.
How many cinnamon bagels did the customer order

Answers

Answer:

96 darling

Step-by-step explanation:

youre gonna take all the times this was teice as mich as that

like this:blueberrybagel twice as much 2

than plain bagels 1

cinnamonbags 3 times as much than

blueberry bagels 2×3= 6+

=9

EACH portion contains144:9=16 bagels

blueberry ones16×2=32

plain ones16×1=16

cinnamon ones 3×32=96

Find an explicit rule for the nth term of the sequence.

The second and fifth terms of a geometric sequence are 20 and 1280, respectively.

Answers

Step-by-step explanation:

in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.

a2 = 20

a5 = 1280 = a2×x×x×x = a2×x³ = 20x³

64 = x³

x = 4

=> a1 = 5

therefore

an = an-1×4 =

[tex]a1 \times {4}^{n - 1} [/tex]

n > 1

(x + 8) ^ 2-2 (x-8) (x-2) + (x + 2) ^ 2 = 15

Answers

Hcjvhhjgvkvhjhcluvmhlgycvbiicycckuguk

x= -21 / 40

I hope it will help you

Someone please help me!!!

Answers

Answer:

<2 = 75°

<3 = 75°

Step-by-step explanation:

<2 = <6

2x+15 = 45+x

or, 2x-x = 45-15

or, x = 30

so, <2 = 30×2+15 = 75

<6 = 45+30 = 75

Answered by GAUTHMATH

Two neighbors in a rural area want to know the dsitance between their homes in miles what should the mneighbors us as a conversion factor to convert this distance to miles? 4,224 feet

Answers

They should use the conversion factor

1 mile = 5280 feet

To go from feet to miles, you divide by 5280

So,

4224 ft = 4224/5280 = 0.8 miles

The distance between their homes is exactly 0.8 miles

write in simplest form :
36 minutes to 3/2hrs​

Answers

Answer:

⅗hrs

Step-by-step explanation:

1hr =60 min

? = 36 min

cross-multiply .........

36 min × 1hr/60 min= 36min/60min × 1hr

=36/60 × 1 hr

= ⅗hrs

simplify 4x^​2-3xy+2xy+9x^2

Answers

Answer:

13x^2 - xy

Step-by-step explanation:

4x^2-3xy+2xy+9x^2

=13x^2-xy

Which point is on the graph of f(x) = 3 • 4X?

Answers

Answer:

D. (1, 12)

Step-by-step explanation:

Plug the number into the equation and solve it from there

f(x)=3×4^1

f(x)=3×4

f(x)=12

Trong mặt phẳng tọa độ cho tam giác ABC biết các đỉnh A(-1,2), B(4,7) và trọng tâm tam giác G(3,2). Viết phương trinh đường thẳng d chứa đường cao đi qua A của tam giác ABC

Answers

can you translate so i can help you out .

What's 0. (6) as a percentage?

Answers

Answer:

Write as a percent.0.6 = 0.60 = 60%

Answer:

Its 60 percentage

I HOPE ITS RIGHT IF NOT THEN SORRY

HAVE A GREAT DAY :)

If f(x) = VX – 9 and g(x) = -6x – 3,
which statement is true?

Answers

Answer:

7

Step-by-step explanation:

2-6=? need help please

Answers

the answer is -4 hope that helps :)
Answer:

The answer is -4

Step-by-step explanation:

2 - 6 = -4

In right A ABC, B is a right angle and sin _ C= x.
sin A=
V1 – *2
22
Ох,
O2 - 1
+1

Answers

Answer:

Step-by-step explanation:

[tex]\frac{-3}{\sqrt{x} +3} +\frac{1}{2}[/tex]

Answers

[tex]\huge\bold\color{blue}{⁂Answer:}[/tex]

[tex]\bold{ - \frac{6 \sqrt{x} - x - 9 }{2(x - 9)} }[/tex]

#CarryOnLearning

[tex]\bold\color{red}{༄Fairy \: Elfꨄ︎}[/tex]

Which sequence is arithmetic? Check all that apply.
•0, 8, 16, 24
•7, 12, 17, 22
•6, 12, 24, 48
•8, 14, 20, 26
•11, 18, 23, 30
•12, 17, 22, 29
•15, 30, 60, 120

Answers

Answer:

Sequences 1,2, and 4 are arithmetic.

Step-by-step explanation:

Each term in sequence 1 gets added by 8.

Each term in sequence 2 gets added by 5.

Each term in sequence 4 gets added by 6.

Please help me ASAP!! Please write answer in inequalities form! Thanks so much! :)

Answers

Answer:

.5 < 2 - sqrt(2) < .6

Step-by-step explanation:

sqrt() is larger than 1.4 and less than 1.5

2 - sqrt(2)    2 -1.4 = .6

2 - sqrt (2) 2 - 1.5 = .5

.5 < 2 - sqrt(2) < .6

[tex]1.4 < \sqrt{2} <1.5 \\ - 1.5 < - \sqrt{2} < - 1.4 \\ 2 - 1.5 < 2 - \sqrt{2} < 2 - 1.4 \\ 0.5 < 2 - \sqrt{2 } < 0.6[/tex]

Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?

Answers

Answer:

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

Step-by-step explanation:

Given

See attachment

Required

Vertical length / Horizontal length

From the attachment, we have:

[tex]y = 4\ units[/tex] --- the vertical length of the larger triangle

and

[tex]x = 6\ units[/tex] --- the horizontal length of the larger triangle

So, the ratio is:

[tex]Ratio = \frac{y}{x}[/tex]

[tex]Ratio = \frac{4\ units}{6\ units}[/tex]

[tex]Ratio = \frac{4}{6}[/tex]

Divide by 2

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

A system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3).


On a coordinate plane, a line goes through (0, 3) and (2, 5).

What is the solution to the system of equations?

(–1, 2)

(1, 3)

(8, 11)

(9, 12)

i really dont get this at all can someone help me and explain

Answers

Answer:

(8,11)

Step-by-step explanation:

1st line

y = x+ 3

We need to find the equation of the other line

We have two points (3, 1) and (4, 3)

Slope

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

   = ( 3-1)/(4-3)

   = 2/1 = 2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y =2x+b

Using the point (4,3)

3 = 2(4)+b

3 = 8+b

3-8=b

-5 =b

y = 2x-5

We have 2 lines

y =x+3 and y = 2x-5

Setting them equal to each other

x+3 = 2x-5

Subtract x from each side

x+3-x = 2x-5-x

3 = x-5

Add 5 to each side

3+5 =x-5+5

8=x

Now we can find y

y =x+3

y = 8+3

y=11

Answer:

c (8,11)

Step-by-step explanation:

Graph the solution to the following system of inequalities.
y-2x-9
y<2x+7

Answers

Answer:

Tb bight by icing I jb Yves j by by by navy by iffy i by by by

please help me with this also if your good at geometry please dm me I need serious help!!​

Answers

Answer:

0.92

Step-by-step explanation:

cosine = adjacent/ hypotenuse

cosine of t = 12/ 13

cos t= 0.92308

Find the missing side

Answers

Answer:

[tex] \sqrt{(12) {}^{2} } + (7) {}^{2} \\ = 13.89[/tex]

Answer: x = 14

Step-by-step explanation:

[tex]h^2 = p^2 + b^2 \\x^2 = 12^2 + 7^2\\x^2 = 144+49\\x^2 = 193\\x = \sqrt{193} \\x = 13.89\\so, x = 13.9 \\so, x = 14[/tex]


[tex]71 \times 3 + 96 - 5 \div 3 \times 96 + 8[/tex]
thanks.............
:)
;)​

Answers

(71 x 3) + 96 - [(5/3) x 96]+ 8
= 213 + 96 - 160 + 8
= 157.

Answer:

157

hope it help

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