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3 years ago

PLEASE HELP ME WITH THIS

Mathematics

2 answers:

Soloha48 [4]3 years ago

5 0

(x-6)(x+2)=0
x-6=0, x=6
x+2=0, x=-2
least -2, greatest 6

777dan777 [17]3 years ago

3 0

Hi :)

Ok, well- solve the equation first, then maybe from there we will have more ideas on what to do here.

So:

(x - 6)(x + 2) = 0

Set factors equal to 0

x - 6 = 0 or x + 2 = 0

x = 0 + 6 or x = 0 - 2

x = 6 or x = -2

Now we can answer the questions....

1) For (x - 6)(x + 2) to equal 0, either (x - 6) or (x + 2) must equal 0

2) In order from least to greatest, are -2 and 6

Let me know if you have any questions. As always, it is my pleasure to help students like you!

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Answer:

1. 35 km

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3. 6 cm

4. $42^\circ$

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Step-by-step explanation:

Solution 1.

Reading of map scale = 1cm:5km

i.e. 1 cm is equivalent to 5 km

Measurement of map = 7 cm

Actual distance = Measurement of map $\times 5$

Actual distance = 7 $\times 5$ = 35 km

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Solution 2.

Length of dining hall = 35 m

Measurement of map = 7 cm

Scale = Measurement of map : Length of dining hall (i.e. ratio)

Scale = 7 cm :35 m = 1 cm : 5 m

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Solution 3.

Length of building = 30 m

Scale = 1 cm to 5m

5 m is equivalent to 1 cm on scale

1 m is equivalent to $\frac{1}{5}$ cm on scale

30m is equivalent to $\frac{1}{5} \times 30$ = 6 cm on scale

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Solution 4.

Angle of elevation of A from B = $42^\circ$

Angle of depression of B from A = ?

Please refer to the image attached, we can clearly observe that both the angles (i.e. angle of elevation from A to B and angle of depression from B to A )will be equal.

Angle of depression of B from A = $42^\circ$

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Solution 5.

Given that:

String length, or hypotenuse of triangle BC= 25 m

Angle of string with horizontal, $\angle B = 42^\circ$

Please refer to the attached image for the clear understanding of the situation.

To find:

Height, AC = ?

We can use trigonometric identity:

$sin\theta = \dfrac{Perpendicular}{Hypotenuse}$

$sinB = \dfrac{AC}{BC}\\\Rightarrow sin42^\circ = \dfrac{AC}{25}\\\Rightarrow AC = 25 \times 0.67\\\Rightarrow AC = 16.73 m$

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So, the answers are:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. $42^\circ$

5. 16.73 m

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