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IgorC [24]
3 years ago
14

The total surface area of this cuboid is 112cm squared find the value of x

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer:

The height of cuboid is 3 cm

Step-by-step explanation:

Total surface area of cuboid  = 2lb+2bh+2hl

Length of cuboid = 10 cm

Width of cuboid = 2 cm

Let the height be x

Total surface area of cuboid  = 2(10)(2)+2(2)(x)+2(x)(10)

Total surface area of this cuboid is 112 cm squared

 2(10)(2)+2(2)(x)+2(x)(10)=112

40+4x+20x=112

40+24x=112

24x=112-40

24x=72

x=\frac{72}{24}

x=3

Hence the height of cuboid is 3 cm

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Of the people who fished at Clearwater Park today,
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A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th
Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10.  Solve for the half life:

140 = 700 (½)^(10 / T)

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log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

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log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

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Rounded to the nearest whole number, it takes 18 minutes.

4 0
3 years ago
In 2018, the number of students at The Villages High School was 975 and is increasing at a rate of 2.5% per year. Write and use
avanturin [10]

Answer:

A(t)=975(1.025)^t

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

A_0=975,t=0

According to question

Number of students at the villages high School is given by

A(t)=A_0(1+r)^t

Substitute the values

A(t)=975(1+0.025)^t=975(1.025)^t

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Substitute the value

Then, the number of students at the villages high school in 2025

A(7)=975(1.025)^7=1158.96\approx 1159

8 0
3 years ago
Read 2 more answers
Help with 12!! ASAP will gove brainliest!! How to find the surface area!!
Shkiper50 [21]

Answer: 659 13/18 yd^2 or 659.7yd^2                ^ =squared

Step-by-step explanation:

This is the answer because you have 6 sides of this prism. That means 3 sides are parallel to the sides across from them. So, 12 1/2 yd by 8 1/3 yd is 104 1/6, then multiply by 2. That equals 208 1/3. Then, 10 5/6 yd by 8 1/3 yd is 90 5/18. then times by 2. That equals 180 5/9. Next, 10 5/6yd by 12 1/2 is 135 and 5/12. then times by 2 and that is 270 5/6yd.

add 208 1/3 + 180 5/9 + 270 5/6

659 13/18 yd^2

3 0
4 years ago
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