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2 years ago

Find the surface area of the right triangular prism (above) using its net (below).

Mathematics

2 answers:

kozerog [31]2 years ago

4 0

1. 7•4=28
2. 7•5=35
3. 7•3=21
4. 4•3÷2=6
5. 4•3÷2=6
6. 28+35+21+6+6=96
Answer: 96 units^2

a_sh-v [17]2 years ago

3 0

I think the answer is 96 units squared

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There are 7800 grams of lodine that have a half-life of 8 days. How much lodine will remain after 40 days?

anygoal [31]

Given that we know the initial mass of Iodine and its half-life, we want to see how much will remain after 40 days.

After 40 days, 244.17 grams of Iodine will remain.

<h3 /><h3>The half-life of materials and how to use it:</h3>

The half-life of a material is the time it takes for that amount of material to reduce to its half.

We can model the amount of Iodine as:

A(t) = A*e^{k*t}

Where A is the initial amount, in this case, 7800g.
k is a constant that depends on the half-life.
t is the time in days.

Replacing what we know, we get:

A(t) = 7800g*e^{k*t}

Now we use the fact that the half-life is 8 days, this means that:

e^{k*8} = 1/2

ln(e^{k*8}) = ln(1/2)

k*8 = ln(1/2)

k = ln(1/2)/8 = -0.0866

Then the function is:

A(t) = 7800g*e^{-0.0866*t}

So now we just need to evaluate this in t = 40.

A(40) = 7800g*e^{-0.0866*40} = 244.17g

So, after 40 days, 244.17 grams of Iodine will remain.

If you want to learn more about half-life and decays, you can read:

brainly.com/question/11152793

3 0

2 years ago

Show the solution to each system of linear inequalities by graphing.

Lyrx [107]

142628281991919182726(35262627282

7 0

3 years ago

Suppose KLMN ~ PQRS. Find the value of x.

arlik [135]

Complete question is attached.

Answer:

B) 8

Step-by-step explanation:

In this question, KLMN ~ PQRS. This means they are similar shapes.

From the image, we could denote that:

KL ~ PQ

LM ~ QR

Given that:

KL = 12

PQ = 30

QR = 20

LM = x

To find x, let's use tge expression:

$\frac{KL}{PQ} = \frac{LM}{QR}$

$= \frac{12}{30} = \frac{x}{20}$

Cross multiplying, we have:

12 * 20 = 30x

240 = 30x

To find x, let's divide both sides by 30.

$\frac{240}{30} = \frac{30x}{30}$

8 = x

x = 8

The correct option is option B.

3 0

3 years ago

Write the word or phrase that best completes each statement or answers the question.

aniked [119]

I believe that the answer is A

5 0

3 years ago

What is the product of (4a+6)(3a-8)

Andreyy89

Answer:

12a²-14a-48

Step-by-step explanation:

4a(3a-8) + 6(3a-8)

= 12a²-32a+18a-48

=12a²-14a-48

4 0

3 years ago