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3 years ago

Can someone please explain how to get the answer?

Mathematics

1 answer:

nydimaria [60]3 years ago

6 0

The small triangle is 1/2 the size of the larger one ( comparing like sides 5 is 1/2 of 10).

This means AC is 1/2LN.

So you have:

x +5 = 1/2(3x +3)

Simplify:

x+5 = 1.5x +1.5

Subtract 1.5x from each side:

-.5x +5 = 1.5

Subtract 5 from each side:

-.5x = -3.5

Divide both sides by -.5:

x = -3.5 / -.5

x = 7

Now you have x.

AC = x +5 = 7+5 = 12

The answer is G.

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The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan

kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points $(x_1, y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Length of PQ = $\sqrt{(1-1)^2+(2-6)^2}$

PQ = 4

Length of PR = $\sqrt{(1+4)^2+(2-2)^2}$

PR = 5

Length of QR = $\sqrt{(1+4)^2+(6-2)^2}$

QR = $\sqrt{25+16}$

= $\sqrt{41}$

= 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

= 4 + 6.4 + 5

= 15.4 yards

4 0

3 years ago

Which exponential function models how much a $52,500 car depreciates at 9%

hram777 [196]

Answer:

y = 52500(.91)^x

Step-by-step explanation:

Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.

3 0

3 years ago

A bracelet is exactly 6.97 cm across from one side to the other, through the center. What is the approximate area of the bracele

Vadim26 [7]

Answer:

≈ 38.14 cm²

Step-by-step explanation:

Diameter of circle= 6.97 cm

Area of circle = ?

Area = πr² = πd²/4 =
3.14*(6.97)²/4 ≈ 38.14 cm²

3 0

3 years ago

I have no idea how ti so this one can sombody help do this one please it is hard

Vinil7 [7]

Not as hard as you think.
Just multiply all the prime factors together.

4 0

3 years ago

Read 2 more answers

A standard clock has a 1-cm hour hand and a 2-cm minute hand. At 12 pm, they are both pointing in the same direction and the dis

Levart [38]

Answer:

The distance between the hands is √(3)cm ≈ 1.73cm.

Step-by-step explanation:

In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.

Looking at the diagram, to find c we can make use of our cosine formula

c² = a² + b² –2abCos(C°)

a = 2, b = 1 and C° = 60°

Therefore we have:

c² = 2² + 1² –2 x 2 x 1 x cos(60°) =

c² = 4 + 1 – 4 x 0.5 =

c² = 5 – 2 =

c² = 3

c = √(3) ≈ 1.73

Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.

8 0

2 years ago