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yanalaym [24]
3 years ago
11

Find the missing length of the triangle.

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Hey there!

Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²

Here,

Base = 9 mm

Hypotenuse = 15 mm

Altitude = b

Hypotenuse² = Base² + Altitude ²

15² = 9² + b²

225 = 81 + b²

225 - 81 = b²

144 = b²

√144 = b

<u>1</u><u>2</u><u> </u><u>mm </u>= b

Hope it helps ya!

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The total number of pears and oranges in a basket is between 30 and 40 . There are 25% more apple than orange how many apples ar
Verdich [7]

The number of apples there are in the basket as described in the task content is; 20 apples.

<h3>What is the number of apples there are in the basket?</h3>

Inference drawn from the task content show that;

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On this note, we must identify a number divisible by 9 between 30 and 40.

The number is 36 and once divided by 9 is 4 units per partition.

On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.

Read more on ratios;

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7 0
2 years ago
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24
kakasveta [241]

Use the distributive property.

3(6 + x) = 24

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5 0
2 years ago
Read 2 more answers
Divide £88 between Bill and Sam. If Sam gets
Lynna [10]
<h3>Answer:  £66</h3>

Your teacher may want you to leave off the pounds sign.

==========================================================

Explanation:

x = amount Bill gets

3x = amount Sam gets, because he gets three times as much

x+3x = 4x = total amount of money

4x = 88

x = 88/4

x = 22

Bill gets £22

3x = 3*22 = 66

Sam gets £66

Note that 22+66 = 88 to help confirm the answer.

4 0
3 years ago
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:

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3 0
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3m²-48m⁶<br><br>factor the polynomial completely​
Daniel [21]

Answer:

see image about. I think that is what you are looking for

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