All categories

2 years ago

Find the surface area of the prism 3m 4m 8m 5m

Mathematics

2 answers:

juin [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Two triangles.

one triangle = 1/2 * small leg * middle sized leg

one triangle = 1/2 * 3 * 4

One triangle = 6

Two triangles = 6 * 2 = 12

Front

Area = L * W

L = 8

W = 5

Area = 8*5 40

Left Side

L = 8

W = 3

Area = 8*3

Area = 24

Area= 24

Right Side

L = 8

W = 4

Area = <u> 32</u>

Total Area = 32 + 24 + 40 + 12 108

There is another way to do this.

Since the height is the same for all three faces, you can do it like this

Area = 8*(3 + 4 + 5) = 8(j12) = 96

Area of the two tiangles = 12

Total area = 108

Rashid [163]2 years ago

4 0

Answer:

3 x 4 = 12, 12 divided by 2 ) x 1/2) = 6, 6 x 2 = 12(area of two triangles)

8 x 4 = 32

8 x 3 = 24

8 x 5 = 40

Let's add all the given areas:

12 + 32 + 24 + 40 = 108 m^2 is your answer.

You might be interested in

Help ASAP

kramer

Answer:

x=19/5

Step-by-step explanation:

x*2+8x=38

10x =38

5 0

3 years ago

Find the equation of the linear function represented by the table below in slope intercept form.

grigory [225]

Answer:

y = -3x - 2

Step-by-step explanation:

slope (m) = (-8 - -5) / (2 - 1) ... difference of y/difference of x

m = -3

y = mx + b

y = -3x + b

for (3,-11) b = y + 3x = -11 + 3x3 = -2

equation: y = -3x - 2

5 0

3 years ago

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

3 years ago

If 5 students had to share 8 brownies how much would each student get

muminat

Each student would get 1.6 brownies

7 0

3 years ago

Read 2 more answers

Help me with this math problem please

mrs_skeptik [129]

Answer:

$y=8$

$RS=77, ST=31$

Step-by-step explanation:

Note that the entire segment RT is the combined lengths of RS and ST. So:

$RT=RS+ST$

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

$108=(9y+5)+(3y+7)$

On the right, combine like terms:

$108=(9y+3y)+(5+7)$

Add:

$108=12y+12$

Subtract 12 from both sides. The right cancels:

$96=12y$

Divide both sides by 12:

$y=8$

So, the value of y is 8.

To find RS and ST, substitute 8 for y. So:

$RS=9y+5$

Substitute 8 for y:

$RS=9(8)+5$

Multiply:

$RS=72+5$

Add:

$RS=77$

Do the same for ST:

$ST=3y+7$

Substitute 8 for y:

$ST=3(8)+7$

Multiply:

$ST=24+7$

Add:

$ST=31$

5 0

3 years ago

Read 2 more answers