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Katena32 [7]
3 years ago
14

If in this picture, the biggest pyramid has a square base of 480ft by 480 ft, and it stands 450 ft tall, how many of the given g

roups (in the diagram) could fit inside of the pyramid?
Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

you didn't upload the picture. But I think you should find the volume of the given groups and also find the volume of the biggest pyramid then divide the volume of the biggest pyramid by the volume of the group

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plz help me ASAP!!!! Graph the line that represents a proportional relationship between d and t with the property that an increa
Andre45 [30]

Answer:

  7/6

Step-by-step explanation:

You have correctly graphed the line, so you know that the rate of change is ...

  ∆d/∆t = 7/6

d changes by 7/6 units for each unit change in t.

6 0
3 years ago
What is the radius of the circle whose equation is x^2 + y^2 = 8
gogolik [260]
√8

for the equations of circles: x²+y²= (radius)²
5 0
2 years ago
Can someone explain what geometric sequences are?
Fed [463]

Explanation:

A sequence is a list of numbers.

A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

  • 1, 2, 4, 8, ... common ratio is 2
  • 27, 9, 3, 1, ... common ratio is 1/3
  • 6, -24, 96, -384, ... common ratio is -4

___

<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

  a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence

where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

  • a(n) = 2^(n -1)
  • a(n) = 27×(1/3)^(n -1)
  • a(n) = 6×(-4)^(n -1)

You can see that these formulas are exponential in nature.

__

<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

  S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence

When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

  S = a(1)/(1-r)

8 0
3 years ago
A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each
zvonat [6]

Answer:

x = 50

R = $2500

Step-by-step explanation:

Given in the question a quadratic equation,

−x² + 100x

To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x

The value of -b/2a tells you the value x of the vertex of the function

−x² + 100x

here a = -1

        b = 100

Selling price = -(100)/2(-1)

                    =   50

 

R = −(50)² + 100(50)

  = 2500

8 0
3 years ago
Find the angle between the given vectors to the nearest tenth of a degree. u = , v = (2 points)
Liono4ka [1.6K]

Answer:

<h2>3.6°</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

u*v = |u||v| cos \theta

\theta is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

u*v = 8(9) + 7(7)

u*v = 72+49

u*v = 121

|u| = √8²+7²

|u| = √64+49

|u| = √113

|v| = √9²+7²

|v| = √81+49

|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

5 0
3 years ago
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