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3 years ago

11

Which are equivalent to 3

2 answers:

Studentka2010 [4]3 years ago

5 0

Answer: 9/12 is equivalent to 3/4.

Explanation: 3 times 12 = 36 and 4 times 9 = 36.

Hope this helps!

Oksanka [162]3 years ago

5 0

9/12 is equivalent

Hope that helps

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A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed

Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

$\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}$

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

$\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}$

3. Calculate EH

LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

EH + 684 m = 1182 m

EH = 498 m

The distance from E to H is 498 m.

5 0

4 years ago

The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.

Nadusha1986 [10]

Answer:

10.5 in

Step-by-step explanation:

Given

$tan(55) = \frac{15}{b}$

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

$tan(55) = \frac{15}{b}$

$b * tan(55) = \frac{15}{b} * b$

$b * tan(55) =15$

Divide both sides by tan(55)

$\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}$

$b = \frac{15}{tan(55)}$

Find tan(55)

$b = \frac{15}{1.42814800674}$

$b = 10.5031130731$

$b = 10.5$ <em>(Approximated)</em>

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Length AC is 10.5

7 0

4 years ago

Read 2 more answers

What is the answer to this question

Rzqust [24]

Answer:

Letter B the second one

Step-by-step explanation:

4 0

4 years ago

Write a function describing the relationship of the given variables.

PtichkaEL [24]

Answer:

a

Step-by-step explanation:

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3 years ago

The value of y is directly proportional to the value of x. If y = 35 when X = 140, what is the

vekshin1

Answer:

17.5

Step-by-step explanation:

soln:

given,

since, x and y are directly proportional

and x=140, y=35

dividing x by y we get,

x/y=140/35

or,x/y=4/1

or,x=4y

when x=70,

x=4y

or,70=4y

•°•y=17.5

4 0

3 years ago