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3 years ago

Find the surface area of the prism.

Mathematics

1 answer:

musickatia [10]3 years ago

7 0

Answer:

a). B = 24 yd²

b). h = 8 yd

c). S.A. = 240 yd²

Step-by-step explanation:

Area of the triangular base B = $\frac{1}{2}(\text{Base of the right triangle})(\text{height of the base triangle})$

= $\frac{1}{2}(8)(6)$

= 24 yd²

Height of the prism 'h' = distance between the triangular bases

= 8 yd

Perimeter of the triangular base = leg 1 + leg 2 + hypotenuse

= 8 + 6 + 10 = 24 yd

Surface area = 2B + Ph

= (2×24) + (24×8)

= 48 + 192

= 240 square yds

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Choose the two rectangular prisms that have a volume of 36 cm”.

Lina20 [59]

Answer:

B & D

Step-by-step explanation:

Volume is calculated as:

$Volume = Length * Width * Height$

For (a):

$Length = 3cm$

$Width = 4cm$

$Height = 5cm$

$Volume = 3cm * 4cm * 5cm$

$Volume = 60cm^3$

For (b):

$Length = 3cm$

$Width = 4cm$

$Height = 3cm$

$Volume = 3cm * 4cm * 3cm$

$Volume = 36cm^3$

For (c):

$Length = 4cm$

$Width = 2cm$

$Height = 2cm$

$Volume = 4cm * 2cm * 2cm$

$Volume = 16cm^3$

For (d):

$Length = 2cm$

$Width = 3cm$

$Height = 6cm$

$Volume = 2cm * 3cm * 6cm$

$Volume = 36cm^3$

There's no need to check for (e)

Option b and d answers the question

5 0

4 years ago

Two lines L1 and L2 pass through the point of intersection of 2y=x-13 and 3y+x+12=0. L1 passes through P(-4,-7) and L2 is perpen

alexgriva [62]

Answer:

84°

Step-by-step explanation:

1. point of intersection of 2y=x-13 and 3y+x+12=0

x = 2y + 13 ==> 3y + (2y+13) + 12 = 0 ==> 5y + 25 = 0 ==> y = -5

x = 2*(-5) +13 = 3

point of intersection: (3 , -5) L1: pass (3 , -5) and (-4 , -7)

slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7

L2 pass (3 , -5) perpendicular to 2x-5y=4

2x-5y=4 ==> y = 2/5 x - 4 slope = 2/5

so slope of L2 = -5/2

angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|

==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75

Θ = 84°

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3 years ago

On a particular day, the wind added 3 km per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 km per ho

Vesnalui [34]

Answer:

31 km?

Step-by-step explanation:

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3 years ago

.- An employee at the local ice cream parlor asks three customers if they like chocolate ice cream. Identify the sample and the

lys-0071 [83]

Sample is the 3 selected customers; And population is all customers

According to the statement

we have given that a shopkeeper asks 3 customers to taste the chocolate icecream.

And we have to identify the sample and population.

So, A definition of sample is that a

A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample.

And a Population is defines as the is a discrete group of people, animals or things that can be identified by at least one common characteristic for the purposes of data collection and analysis.

So, according to definition Sample is the 3 selected customers; And population is all customers.

Learn more about Sample here brainly.com/question/11073037

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pashok25 [27]

What are you asking ?

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