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SCORPION-xisa [38]
3 years ago
11

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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the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.​
katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

a^2+b^2=c^2

Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>

<em />(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}

Therefore, the length is 14.4 meters. Now, find the perimeter:

P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}

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3 years ago
The parts of a solid are faces, vertices and __________.
BigorU [14]

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Step-by-step explanation:

3 0
2 years ago
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Evgen [1.6K]
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7 0
3 years ago
6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a
vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x  into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0
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