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alex41 [277]
3 years ago
11

A log whose length is 60 inches is cut into 3 pieces in the ratio 1:3:5. What is the number of inches in the length of the short

est piece?
SHOW ALL WORK
Mathematics
1 answer:
wariber [46]3 years ago
7 0
\bf \cfrac{60}{1+3+5}\implies \cfrac{20}{3}\implies 6\frac{2}{3}\qquad \qquad \qquad \stackrel{\stackrel{1\cdot \frac{20}{3}}{}}{\frac{20}{3}}~:~\stackrel{\stackrel{3\cdot \frac{20}{3}}{}}{20}~:~\stackrel{\stackrel{5\cdot \frac{20}{3}}{}}{\frac{100}{3}}
You might be interested in
Check my answer please
Aleksandr [31]
So it is an isosceles triangle that means that the bottom two angles are equal...
so 
40 = 5x 
divide both sides by 5 and you get 8

now the triangle angles add up to 180
we make an equation out of it...
(2y + 20 ) + ( 5(8)) + 40 = 180
2y + 20 + 40 + 40 = 180
combine like terms
2y + 100 = 180
so subtract 100 from both sides
2y = 80
divide by 2 to isolate the variable
y = 40

You are correct!!! :)
5 0
3 years ago
(8.4 - 4.5) × (7.04 - 0.04) =
iren [92.7K]
(8.4−4.5)(7.04−0.04)

=3.9(7.04−0.04)

=(3.9)(7)

=27.3

Ans : 27.3
4 0
4 years ago
Read 2 more answers
2. Match the shapes given to their correct areas.
aliina [53]

Applying the formula for each identified shape that are given, the correct areas to each shape are:

a. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 21.6 sq. ft

a. The shape given is a square.

Area of the square = s^2

Where,

s = 11.6 yd

Plug in the value of s

Area of the square = 11.6^2 = 134.6 $ yd^2

b. The shape given is a circle.

Area of the circle = \pi r^2

  • Where,

r = 12 cm

  • Plug in the value of r

Area of the square = \pi \times 12^2 = 452.2 $ cm^2

c. The shape given is a parallelogram.

Area of the parallelogram = bh

  • Where,

b = 7 cm

h = 5.8 cm

  • Plug in the value of b and h

Area of the parallelogram = 7 \times 5.8 = 40.6 $ cm^2

d. The shape given is a rectangle.

Area of the rectangle = l \times w

  • Where,

l = 8.3 ft

w = 5.2 ft

  • Plug in the value of l and w

Area of the rectangle = 8.3 \times 5.2 = 43.2 $ ft^2

e. The shape given is a trapezium.

Area of the trapezium = \frac{1}{2} (a + b)  \times h

  • Where,

a = 2.8 m

b = 10.4 m

h = 3.9 m

  • Plug in the value of a, b, and h

Area of the trapezium = \frac{1}{2}(2.8 + 10.4) \times 3.9 = 25.7 $ m^2

f. The shape given is a triangle. <em>(See attachment for the shape).</em>

Area of the triangle = \frac{1}{2}  \times b  \times h

  • Where,

b = 9 ft

h = 4.8 ft

  • Plug in the value of b, and h

Area of the triangle = \frac{1}{2} \times 9 \times 4.8 = 21.6 $ ft^2

Therefore, applying the formula for each identified shape that are given, the correct areas to each shape are:

a. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 21.6 sq. ft

Learn more here:

brainly.com/question/22560863

5 0
3 years ago
What is x in 2/3(x-6)=6
ollegr [7]

Answer:

Lets work through it.

1. Distribute values:

2/3x-4=6

2. Move variables to one side

2/3x=10

3.Divide by 2/3 or multiply by 3/2

x=10*1.5

4. Answer=1.5

3 0
3 years ago
Read 2 more answers
The volume of a tennis ball is 8 cubic inches. What is the radius?
aleksklad [387]
24 is the correct answer:)
4 0
4 years ago
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