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2 years ago

Exam for edmentum// multiplying monomials please help

Mathematics

1 answer:

Artemon [7]2 years ago

4 0

Answer:

$3 {w}^{5} \times {7w}^{5} \\ \\ = (3 \times 7)( {w}^{5} \times {w}^{5} ) \\ \\ = 21( {w}^{5} \times {w}^{5} )$

from law of indices:

${x}^{a} + {x}^{b} = {x}^{(a + b)}$

therefore:

$= 21 \{ {w}^{(5 + 5)} \} \\ \\ ={ \boxed{ 21 {w}^{10} }}$

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How to show opposite sides on a parallelogram are congruent

Marta_Voda [28]

Answer:

I am attaching a image to understand my proof.

Step-by-step explanation:

PROVE:-

AB = DC

AD = BC

∠ ABD = ∠ BDC (alternate angles are equal )

∠ DBC = ∠ ADB (alternate angles are equal )

∴ Δ ADB ≅ Δ CBD ( by ASA rule )

DC = BA ( corresponding sides of ≅ Δ )

AD = CB ( corresponding sides of ≅ Δ )

Hence it is proved that opposite sides of parallelogram are congruent )

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Step-by-step explanation:

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PLEASE HELP WILL GIVE BRAINLIEST!!!!

IrinaVladis [17]

Answer:

<em>The height of the tree is 19.81 m</em>

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios between the sides of a right triangle are called trigonometric ratios.

If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.

This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.

The trigonometric ratio that relates both legs is the tangent:

$\displaystyle \tan 33^\circ=\frac{X}{30.5}$

Solving for X

$X=30.5\cdot \tan 33^\circ$

Using a calculator:

X = 19.81 m

The height of the tree is 19.81 m

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3 years ago