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zubka84 [21]
3 years ago
5

quick question What is total surface area and lateral surface area? I will give brainlest its due tmrw

Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0

Answer:

Total surface area is the sum of the areas of all of the faces include tops, bottoms (base) and the remaining surfaces that enclose the solid.

Lateral surface area is the total area of a solid object but does not include the base.

Step-by-step explanation:

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Y = 8x + 25

The y int (25) represents the cost for insurance
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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The oth
Vikki [24]

Consider two <u>right triangles</u>:

1. ΔABC with <u>vertices</u> A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (<u>vertical leg</u>), AC=6 units (<u>horizontal leg</u>).

2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).

The equation of the line BC is

\dfrac{x-0}{6-0}=\dfrac{y-2}{0-2},\\ \\-x=3y-6,\\ \\x+3y-6=0.

Check whether points Y and Z lie on this line:

Y(6,0): 6+3\cdot 0-6=0 - true;

Z(36,-10): 36+3\cdot (-10)-6=0 - true.

Answer:  the hypotenuses of these two triangles could lie along the same line

3 0
3 years ago
One morning, Justin drove 5 hours before stopping to eat lunch at chick-fil-A. After lunch, he increased his speedy by 10 mph. I
LuckyWell [14K]

Answer:

30 mph

Step-by-step explanation:

Let the morning speed be represented by s.

Then the total distance drivern is 310 mi and this is equal to

5s + 4(s + 10):

5s + 4s + 40 = 310, or

    9s             = 270

Solving for s, we get s = 270/9 = 30

Then s + 10 = 40

He drove 30 mph in the morning and 40 mph in the afternoon.

Check:  (30 mph)(5 hrs) + (40 mph)(4 hrs) =  310 miles.  CORRECT

7 0
3 years ago
A small post office has two open windows. Customers arrive according to a Poisson distribution at the rate of 1 every 3 minutes.
Marina CMI [18]

Answer:

A) probability that an arriving customer will wait in line is 67%

B)the probability that both windows are idle is 0.33

C) the average length of the waiting line is 1.33

D)it would not be possible to offer a reasonable service with only one window

Step-by-step explanation:

arrival rate: δ = 20 x 0.80 = 16 customers per hour

service rate: μ = 2 × (60/5) = 24 customers/hour

Utilization factor is given as;

Φ = δ/μ

So, Φ = 16/24 ≈ 0.67

A) the probability that an arriving customer will wait in line is;

16/24 x 100% ≈ 67%

B) probability that both windows are idle is;

P(x=0) = 1 - 0.67 = 0.33

C) The average number of customers in the post office will be;

L_s = Φ/(1 - Φ)

L_s = 0.67/(1 - 0.67)

L_s = 0.67/0.33

L_s ≈ 2 customers

Thus, the average length of the waiting line is;

L_w = L_s - Φ

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D) this part demands that we find the utilization factor with only one window.

Thus;

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And

service rate: μ = 1 × (60/5) = 12 customers/hour

Thus, Utilization factor = 16/12 = 1.33

Thus, it would not be possible to offer a reasonable service with only one window

3 0
3 years ago
A picture frame can hold a Photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the fra
TEA [102]

Answer:

16x12=192

Step-by-step explanation:

Two times sixteen equals thirty two, ten times sixteen equals one hundred sixty, thirty two plus one hundred sixty equals one hundred ninety two

8 0
3 years ago
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