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Tems11 [23]
3 years ago
11

If abcd is dilated by a factor of 1/3 the coordinate d would be

Mathematics
2 answers:
Anika [276]3 years ago
8 0

Answer:

(2, - 1 )

Step-by-step explanation:

Assuming the centre of dilatation is at the centre then multiply each of the coordinates of D by \frac{1}{3}

D(6, - 3 ) → D'( \frac{1}{3} (6), \frac{1}{3} (- 3 ) ) → D'( 2, - 1 )

Step2247 [10]3 years ago
3 0

Answer:

-3 is the y coordinate

2 is the x coordinate

Step-by-step explanation:

-9*1/3=-3

6*1/3=2

Hope this helps :)

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Carl is standing at the top of 35 Ft cliff looking down at a rock for motion in the sea. He estimates the angle of depression is
Liula [17]

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Data;

  • Angle = 30 degree
  • Opposite = 35
  • Adjacent = x

<h3>Trigonometric Ratio</h3>

Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.

SOHCAHTOA

Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.

Tan\theta = \frac{opposite}{adjacent} \\tan 30 = \frac{35}{x}\\ x = \frac{35}{tan30}\\ x = 60.62ft

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Learn more on trigonometric ratio here;

brainly.com/question/12172664

7 0
2 years ago
Billy puts $4900 in a bank that pays 6% annually.
Maru [420]

If it's adding to the 4,900 in the bank just add the numbers to 4,900.

After 4 years. 1,176.

Year 1: 294

Year 2: 588

Year 3: 882

Year 4: 1176

Year 5: 1470

Year 6: 1764

6 0
3 years ago
5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (
chubhunter [2.5K]

Answer:

  • a) $56000
  • b) DA = 2, GA = 10

Step-by-step explanation:

<u>Given</u>

  • DA = A + B ⇒ $3000
  • GA = A + 2B ⇒ $5000
  • Number of A = 12
  • Number of B = 22

<u>We can see from the equations that</u>

  • GA - DA = B ⇒ $2000 and
  • A = $1000 and B = $2000 in terms of profit

<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>

  • A + B = 12
  • A + 2B = 22

Is the equation set to indicate use of the units A and B

<u>Solving we get </u>

  • A = 2 and
  • B = 10

<u>It this case all the units are used and profit is maximum</u>

  • 2*$3000 + 10*$5000 = $56000
  • Number of DA = 2
  • Number of GA = 10
8 0
4 years ago
Is 1/9 &gt;, &lt;, or = {Negative} -4?
kvasek [131]

<u>Answer:</u>

1/9 > -4

because -4 is a negative no less than 0. whereas 1/9 is a positive no greater than 0.

So negative no can't be greater than positive no.

6 0
3 years ago
Factor by using the perfect square trinomial formula
sergejj [24]
It should be(x➕2)^2.right?
7 0
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