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2 years ago

Geometry: find the value of x

Mathematics

1 answer:

Scrat [10]2 years ago

8 0

Answer:

X = 49

Step-by-step explanation:

Here

4x=147+x (by alternate interior angle)

4x-x= 147

3x=147

X=49

......................

Plzz mark it as a brilliant answer .

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in massaschusetts a team of scientists studying great white sharks estimate that a population of 15000 seals support fewer than

Evgen [1.6K]

Answer:

The higher you go in the good chain the lower the population.

Explanation:

In the food web, there are only a few sharks since in the food chain they are higher. Just 10% energy is retained in the tissues once the energy is moved from one trophic level to another, and the leftover power is emitted as metabolic energy.

If an animal is high up the energy ladder, the individual has less resources; thus, a few of the highest predators are present in an ecosystem.

3 0

3 years ago

Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

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3 years ago

The scale on a map shows that 1 inch = 30 miles. If there are 4.5 inches between your present location and the place you want to

anastassius [24]

Scale : 1 inch = 30 miles

So, the ratio between the distance on the map and the real distance is 1:30

When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.

Call the miles we have to go : x

1:30 = 4.5:x

(1x4.5):(30x4.5) = 4.5 : x

4.5 : 135 = 4.5 : x

So, x = 135 => We have to go 135 miles to get to the place we want to go.

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2 years ago

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Alinara [238K]

Answer:

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Step-by-step explanation:

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2 years ago

A radius of 4.1 yards. What is the area?<br> Use 3.14 for.<br> yards

Pani-rosa [81]

Answer:

52.7834

Step-by-step explanation:

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2 years ago