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3 years ago

What is the surface area of the equilateral triangular prism? A) 51 cm2 B) 56 cm2 C) 62 cm2 D) 67 cm2

2 answers:

5 0

To find the surface area I need the sides but here are some steps on how to solve it.

First, substitute the given values into the formula. Then, multiply the sum of the triangle sides by the height of the prism (H) and add the values together for the answer, making sure to include the appropriate unit of measurement.

ELEN [110]3 years ago

3 0

You have to give some info about the prism

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Save Work out the size of angle AED. b) Work out x

Mamont248 [21]

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

Therefore, in cyclic quadrilateral ABDE,

m∠ABD + m∠AED = 180°

110° + m∠AED = 180°

m∠AED = 180° - 110°

= 70°

b). AD = ED [Given]

m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

m∠EAD = m∠AED = 70°

By triangle sum theorem in ΔABD,

m∠BAD + m∠ABD + m∠ADB = 180°

m∠BAD + 110° + 40° = 180°

m∠BAD = 180 - 150

= 30°

m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

m∠AEB = 70° + 30°

= 100°

By triangle sum theorem in the large triangle,

x° + m∠AEB + m∠EAB = 180°

x° + 100° + 70° = 180°

x = 180 - 170

x = 10°

8 0

2 years ago

Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truc

Romashka [77]

Answer:

Payback is 7.3 years

NPV $3,099

Step-by-step explanation:

The formula for payback period period=initial investment/annual cost savings

The initial investment is the amount of cash outflow that would be required to purchase the new delivery truck,which is $54,750,while on the other hand the annual cost savings is $7,500

cash payback period=$54,750/$7,500=7.3 years

Ordinarily,the expected payback is 1/2 of 8 years=4 years.

The net present is the present worth of the future cost savings as well as the scrap value of the truck in year 8,calculated by multiplying the cash flows with the discounted factors for relevant years as below:

Years cash flow DCF at 8% Present values

0 -$54,750 1 -$54,750

1-7 years $7500 5.2064 $39,048

8 $34,800 0.54027 $18,801

NPV $3,099

Note that the $34,800 =$7500+$27300

The year 1-7 factor is annuity factor for 8% 7 years

3 0

3 years ago

The number of the day is 936,165

Digiron [165]

936165

900000 + 30000 + 6000 + 100 + 60 + 5 (expanded form)

nine hundred thirty six thousand one hundred and sixty-five (word form)

hope this helps

3 0

3 years ago

A computer valued at $4,500 depreciates at the rate of 12.2% per year. What is the value of the computer after 3 years?

yulyashka [42]

13,463.4?maybe what we’re the answer choices

4 0

2 years ago

Read 2 more answers

Two number cubes are rolled --one blue and one yellow. Find the probability that the blue cube is less than 3 and the product is

Natalija [7]

Assuming they are dice, to work out the probability that the product is 8, the dice either have to be 2 and 4 or 4 and 2. The blue dice therefore has to be a 2 (4 is not less than 3), which is a 1 in 6 probability. The yellow one therefore has to be 4, which again is 1 in 6. The probablility that these both happen at the same time is given when they are multiplied together. $\frac{1}{6}$ x $\frac{1}{6}$ = $\frac{1}{36}$ .
Hope that is useful.

8 0

3 years ago