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3 years ago

Given the two rectangles below. Find the area of the shaded region.

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

52 units²

Step-by-step explanation:

A = L × W

Area = Length × Width

First find the total area: 44

Half that to find the total left side that is shaded: 22

Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.

- Educator

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How do you find a missing side of a triangle using SOH CAH TOA

katrin2010 [14]

Answer:

See explanation and attachment

Step-by-step explanation:

SOH CAH TOA is a mnemonic.

SOH means $\sin \theta=\frac{Opposite}{Hypotenuse}$

CAH means $\cos \theta =\frac{Opposite}{Hypotenuse}$

TOA means $\tan \theta=\frac{Opposite}{Adjacent}$

Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.

For instance, find x in the diagram in the attachment.

In this case the best ratio to use is TOA.

$\tan 60\degree=\frac{\sqrt{3} }{x}$

$\implies x=\frac{\sqrt{3} }{\tan 60}$

$x=\frac{\sqrt{3} }{\sqrt{3} } =1$

All the other ratio also follow the same pattern

NB: Your calculator in degree should give $\tan 60\degree=\sqrt{3}$

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3 years ago

Use the Euclidean algorithm to determine the greatest common divisor of 2288 and 4875

Irina-Kira [14]

Answer:

Step-by-step explanation:

We have to find greatest common divisor of two number 2288 and 4875.

Now, greatest common divisor of two number is defined as the highest common factor that divides both the number.

We can use the Euclidean algorithm to do so.

Since 4875 is the larger of the two number

4875 ÷ 2288: Quotient = 2, Remainder = 299

2288 ÷ 299: Quotient = 7, Remainder = 195

299 ÷ 195: Quotient = 1, Remainder = 104

195 ÷ 104: Quotient = 1, Remainder = 91

104 ÷ 91: Quotient = 1, Remainder = 13

91 ÷ 13: Quotient =7, Remainder = 0

Hence, we stop here and the greatest common divisor = 13

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3 years ago

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liraira [26]

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step 2: multiply both sides by 4

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Andrew [12]

Answer:

108

Step-by-step explanation:

IT BE CORRACT

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