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3 years ago

What is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units

Mathematics

2 answers:

const2013 [10]3 years ago

7 0

Answer:

5 1/3

Step-by-step explanation:

edge

blagie [28]3 years ago

6 0

The missing figure is attached

The value of a is $5\frac{1}{3}$ ⇒ 2nd answer

Step-by-step explanation:

Let as revise the Pythagoras Theorem

In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)

(AC)² = (AB)² + (BC)²
(AB)² = (AC)² - (BC)²
(BC)² = (AC)² - (AB)²

If BD is drawn perpendicular to AC, we can use these rules

(AB)² = AD × AC
(BC)² = CD × AC
(BD)² = AD × CD
AB × BC = BD × AC

In Δ WYZ

∵ m∠WYZ = 90°

- By using Pythagoras Theorem

∴ (WZ)² = (WY)² + (YZ)²

∵ WY = 4 units

∵ YZ = 3 units

∵ WZ = c units

∴ c² = (4)² + (3)²

∴ c² = 16 + 9 = 25

- Take √ for both sides

∴ c = 5

In Δ XWZ

∵ m∠XWZ = 90°

∵ WY ⊥ XZ

- We can use the rule (WZ)² = ZY × ZX

∵ (WZ)² = ZY × ZX

∵ WZ = 5 units

∵ ZY = 3 units

∵ ZX = (3 + a) units

∴ (5)² = 3(3 + a)

∴ 25 = 9 + 3a

- Subtract 9 from both sides

∴ 16 = 3a

- Divide both sides by 3

∴ a = $5\frac{1}{3}$

The value of a is $5\frac{1}{3}$

Learn more:

You can learn more about the rules of the right triangle in brainly.com/question/14390928

#LearnwithBrainly

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allsm [11]

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3 years ago

What is the area of the square adjacent to the third side of the triangle?

Naddik [55]

Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), $\sqrt{35}$ is the side length of the pink square and $\sqrt{50}$ is the side length of the green square.

That means a = $\sqrt{35}$ and b = $\sqrt{50}$ , so...

$(\sqrt{35} )^{2} + (\sqrt{50})^{2} = c^{2}$

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Now we need to square the square root of 85 to find the area of the blue square.

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To solve the other question we use the same formula again.

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3 years ago

Given the following sets.

asambeis [7]

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3 years ago

Solve for yyy. -3 = 7\left(y-\dfrac97\right)−3=7(y− 7 9 )minus, 3, equals, 7, left parenthesis, y, minus, start fraction, 9, d

Leni [432]

Answer:

y = 6/7

Step-by-step explanation:

The equation given is:

-3 = 7(y - 9/7)

To solve this, we will expand the bracket and afterwards, collect like terms:

-3 = (7*y) - (9/7 * 7)

-3 = 7y - 9