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3 years ago

The equation SA = 2B + Ph represents the surface area of a triangular prism. Which of the following describes the meaning of B?

Mathematics

2 answers:

kvasek [131]3 years ago

5 0

B is the area of the base

lubasha [3.4K]3 years ago

3 0

Answer:

Option 2nd is correct

B is the area of the base

Step-by-step explanation:

Surface Area(SA) of a triangular prism is given by:

$SA = 2B+Ph$

where,

B is the base area

P is the base perimeter

h is the length of prism.

As per the statement:

The equation SA = 2B + Ph represents the surface area of a triangular prism.

from the above definition we have;

⇒B is the area of the base

Therefore, the following describes the meaning of B is, B is the area of the base

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Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

$\frac{2}{3} +\frac{1}{2} = \frac{1}{x}$

$\frac{7}{6} = \frac{1}{x}$

$x = \frac{6}{7}$

Centerpieces --> 7/4 hours

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

Balloons --> 15/16 hours

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

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3 years ago

If the measure of cae is 95° what is the measure of cba

xxTIMURxx [149]

CAE=95 GAE=90 CAG=95-90=5 ACG=5 CGA=180-(5+5)=170 CBA=12—170=85

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3 years ago

Read 2 more answers

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aalyn [17]

Answer:

Using Pythagorean theorem:

Diagonal = sqrt( 60^2 + 100^2) = 116.62

Hope this helps!

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3 years ago

the greater roadrunner bird can run 14 miles per hour that's 7 times faster than an ostrich can walk how fast does an ostrich wa

forsale [732]

Answer:

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Step-by-step explanation:

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Tom and Jack “power walk” towards each other at the same time. Tom’s walking speed is 2.3 m/s, Jack’s speed is 2.2 m/s. They mee

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