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Helga [31]
2 years ago
6

Find the surface area. Round to the nearest tenth.

Mathematics
1 answer:
Anton [14]2 years ago
8 0

Answer:

66.4 in^2

Step-by-step explanation:

Surface area is defined as the area around the surface of a 3-dimensional solid. The shape we are given here is a triangular prism with a square base. This means it contains one square and 4 triangles on the surface. To find the surface area, we just need to find the areas of all 5 surface shapes and add them up. We have been given that the square has a side length of 4 inches, meaning the area is 4^2 or 16. The area of a triangle is (1/2)base*height. The base length is 4 inches and the height is 6.3, and (1/2)*4*6.3 is 12.6. Note that, since there are four triangles, we have to multiply this value by 4 (12.6*4 = 50.4). Now we have the area of the square and the area of all the triangles put together, so we can just add them up:

16 + 50.4 = 66.4

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I need help with this homework question
salantis [7]
If you divide 64/16, that equals 4, then you multiply 4*3 and your answer is 12. It looks something like this (for "showing your work" purposes);

64/16=4
4 x 3=12
answer=16 cups of sugar for 64 bags of tea

4 0
3 years ago
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A savings account with an initial deposit of $10,000 has an annual interest rate of 3.2%. The interest on the account is compoun
makkiz [27]

Answer:

account balance will be $12113.9 and the interest is $2113.9.

7 0
3 years ago
Kira solved the equation in the following way. 7 2 − 2x = 11 2 7 2 − 7 2 − 2x = 11 2 − 7 2 −2x ÷ −2 = 4 2 ÷ − 2 x = −1 Describe
vladimir2022 [97]

Answer:

the first step is to use the

✔ Subtraction

property of equality to combine the constant terms.

The second step is to use the

✔ Division

property of equality to isolate the variable

Step-by-step explanation:

edge 20 20

7 0
3 years ago
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Solve the equation. (Find only the real solutions. Enter your answers as a comma-separated list.) x4 − 8x2 + 7 = 0
ryzh [129]

Answer: x=0 or x= plus or minus 2

Step-by-step explanation:

g(x)=x^4-8x^2+7

Critical numbers are the numbers where the first derivative is zero

g'(x)=4x^3-16x+0

=4x^3-16x

g'(x)=0

Implies

4x^3-16x=0

4x(x^2-4)=0

4x=0 OR x^2-4=0

x=0 or x^2=4

x=0 or x= plus or minus 2

5 0
4 years ago
A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b
LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is 90.3^{\circ}F

1 hr later temperature 89^{\circ}F

Temperature of room T=68^{\circ}F

According to newtons law

\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )

\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )

\frac{dT}{T-68}=-kdt

Integrating

=\int \frac{dT}{T-68}=-kdt

\ln |T-68|=-kt+c

T-68=Ae^{-kt}

Now at 9 am i.e. t=0,

90.3=A+68

A=22.3

At 10 am i.e. t=1 hr T=89

89-68=22.3e^{-k}

e^{-k}=21

k=0.06006

Temperature of Normal human body is T=98.6 ^{\circ}F

98.6-68=e^{-0.06006t}

30.6=e^{-0.06006t}

Taking log both sides

t=-5.27

i.e. 5 hr and  16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0
3 years ago
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