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marishachu [46]
3 years ago
6

1. Choose the answer that correctly expresses this ratio in fraction form.

Mathematics
1 answer:
Alborosie3 years ago
8 0

divide each number by 18

2:3


2/3



number 2:


25/50  divide each by 25


1/2


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PLEASE HELP!! Ill mark the brainliest!!!!
ira [324]

Answer:

x = 5√2

y = 5√6

z = 5√3

ΔABC ~ ΔBDC ~ ΔADB

Step-by-step explanation:

ΔABC, ΔBDC, and ΔADB are all similar triangles to each other.

By definition of similar triangles, the corresponding sides have the same ratios.

CD from ΔBDC corresponds to BD from ΔADB, and BD from ΔBDC corresponds to AD from ΔADB. So:

CD / BD = BD / AD

10 / x = x / 5

x² = 50

x = 5√2

Since ΔBDC is right, we can use the Pythagorean Theorem to solve for y:

CD² + BD² = BC²

10² + (5√2)² = y²

y² = 100 + 50 = 150

y = 5√6

Again, since ΔΔABD is right, we can use the Pythagorean Theorem to solve for z:

AD² + BD² = AB²

5² + (5√2)² = z²

z² = 25 + 50 = 75

z = 5√3

3 0
3 years ago
Read 2 more answers
Quick Question
omeli [17]

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

5 0
3 years ago
Can you solve this problem please im having trouble with this question ​
Degger [83]

Answer:

The answer is 3.7

Step-by-step explanation:

Use cross multiplication to set up the equation then simplify,

17y = 63

  y = 63/17

  y = 3.705

Round to the nearest tenth.

Solution is y = 3.07

Good luck!

3 0
3 years ago
Read 2 more answers
Is 9.59166304663 a rational or irrational number.
uranmaximum [27]

it’s a rational number

4 0
3 years ago
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A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di
kolbaska11 [484]

Answer:  586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

Inner diameter =  1.8 inches

⇒Inner radius :r = 0.9 in.  (radius is half of diameter)

= 0.9 x (2.54) = 2.286 cm  [∵ 1 in . = 2.54 cm]

Outer diameter = 2 inches

⇒Outer radius : R = 1 inch  = 2.54 cm

Height : h = 5 feet = 5 x(30.48) = 152.4 cm   [∵  1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

V=\pi(R^2-r^2)h , where R= outer radius , r= inner radius and h= height.

Now , the volume of metal in the conduit :

V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)

V=(3.14)(6.4516-5.225796)(152.4)

V=(3.14)(1.225804)(152.4)

V=586.591342944\approx586.59\ cm^3

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

5 0
3 years ago
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