All categories

3 years ago

A wedge of cheese in the shape of a triangular prism is shown below.

Mathematics

1 answer:

BabaBlast [244]3 years ago

7 0

Answer:

144 ft^2

Step-by-step explanation:

Back (vertical): (4 ft)(8 ft) = 32 ft^2

Right side (vert.): (4 ft)(6 ft) = 24 ft^2

Front (vert.): (4 ft)(10 ft) = 40 ft^2

Top (horizontal): A = (1/2)(6 ft)(8 ft) = 48 ft^2 total (top and bottom)

Total surface area is (32 + 24 + 40 + 48) ft^2, or 144 ft^2

You might be interested in

6m + 17 is greater then or equal to 77 (HELP WILL GIVE BRAINLIST)

emmasim [6.3K]

6m> 60

m>10

m is greater than or equal to 10

6 0

2 years ago

Read 2 more answers

Hudson is going to invest $320 and leave it in an account for 9 years. Assuming the

bearhunter [10]

Answer:

5.8

Step-by-step explanation:

6 0

2 years ago

At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
$T(t) = (T_0 - T_A)e^{-kt} +T_A$
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
$42 = (80-20)e^{-3k} +20 \\ \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\ \\ k = -\frac{1}{3} ln (\frac{11}{30})$

Substituting k back into cooling equation gives:
$T(t) = 60(\frac{11}{30})^{t/3} + 20$

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
$-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20$
Solve for t:
$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM

8 0

3 years ago

Two vertices of a right triangle have coordinates (3, 7) and (3, 10) . The segment that connects these points is a leg of the tr

vesna_86 [32]

(7,8) I think is the answer your looking for

3 0

3 years ago

Read 2 more answers

Order the following list of numbers from least to greatest <br>V35, 5.7, 17/3, 5.83<br>

irina1246 [14]

Answer:

17/3, 5.7, 5.83, √35.

Step-by-step explanation:

√35, 5.7, 17/3, 5.83

√35 = 5.916

5.7 = 5.700

17/3 = 5.667

5.83 = 5.830.

So the answer is 17/3, 5.7, 5.83, √35.

8 0

2 years ago