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Svet_ta [14]
2 years ago
3

The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 35 cubic i

nches when its base area is 15 square inches and its height is 7 inches. What is the volume of a pyramid with a base area of 36 square inches and a height of 5 inches?
Mathematics
1 answer:
Agata [3.3K]2 years ago
5 0
Given:

V1 = 35 cubic inches
A1 = 15 square inches
h1 = 7 inches

A2 = 36 inches
h2 = 5 inches

Required:

What is V2 equal to?

Solution:

To calculate a volume of a pyramid, we use the formula:

V = (Base Area × Height)/3

V2 = (36 square inches × 5 inches)/3

V2 = 60 cubic inches

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AC ≅ AE; ∠ACD ≅ ∠AED
pshichka [43]

Answers:

A) △ACF ≅ △AEB because of ASA.

D) ∠CFA ≅ ∠EBA

E) FC ≅ BE


Solution:

AC ≅ AE; ∠ACD ≅ ∠AED Given

The angle ∠CAF ≅ ∠EAB, because is the same angle in Vertex A

Then △ACF ≅ △AEB because of ASA (Angle Side Angle): They have a congruent side (AC ≅ AE) and the two adjacent angles to this side are congruent too (∠ACD ≅ ∠AED and ∠CAF ≅ ∠EAB), then  option A)  is true: △ACF ≅ △AEB because of ASA.

If the two triangles are congruent, the ∠CFA ≅ ∠EBA; and FC ≅ BE, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), then Options D) ∠CFA ≅ ∠EBA and E) FC ≅ BE are true

4 0
2 years ago
Read 2 more answers
Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed,
seropon [69]

Answer and Step-by-step explanation:

Data provided in the question

Mean = 1.1 hours per call =

R = Mean rate = 1.6 per eight hour day

\mu = \frac{8}{1.6} = 5 per day

Based on the above information

a. The average number of customers is

= \frac{R^2}{\mu(\mu- R)}

= \frac{1.6^2}{5(5- 1.6)}

= 151

b. The system utilization is

= \frac{R}{\mu}

= \frac{1.6}{5}

= 0.32

c. The amount of time required is

= 1 - system utilization

= 1 - 0.32

= 0.68

And, there is 8 hours per day

So, it would be

= 0.68 \times 8

= 5.44 hours

d. Now the probability of two or more customers is

= 1 - (0.68 + 0.68 \times 0.32)

= 0.1024

Therefore we simply applied the above formulas

4 0
2 years ago
Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4
BlackZzzverrR [31]
S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3

S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
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2 years ago
C. Assessment
Crazy boy [7]
1. B
2. A
3. A
All of theses are true
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2 years ago
Wat is 1000 divided by 350
pochemuha
2.8571 i think im not sure
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