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2 years ago

Drag each tile to the correct box. Not all tiles will be used.

Mathematics

1 answer:

Virty [35]2 years ago

6 0

Answer:

Step 1: Set the compass point on B and using a convenient width, draw an arc across the two sides of the angle, creating the points G and H.

Step 2: Keeping the same width, set compass point on D and draw a similar arc, creating point J.

Step 3: Set the compass width to . Then, set compass point on J and draw an arc intersecting the first one, creating point F.

Step 4: Draw ray DF.

Step-by-step explanation:

big brain.

You might be interested in

Match the parabolas represented by the equations with their vertices. y = x2 + 6x + 8 y = 2x2 + 16x + 28 y = -x2 + 5x + 14 y = -

GaryK [48]

Consider all parabolas:

$y = x^2 + 6x + 8,\\y=x^2+6x+9-9+8,\\y=(x^2+6x+9)-1,\\y=(x+3)^2-1.$

When x=-3, y=-1, then the point (-3,-1) is vertex of this first parabola.

$y = 2x^2 + 16x + 28=2(x^2+8x+14),\\y=2(x^2+8x+16-16+14),\\y=2((x^2+8x+16)-16+14),\\y=2((x+4)^2-2)=2(x+4)^2-4.$

When x=-4, y=-4, then the point (-4,-4) is vertex of this second parabola.

$y =-x^2 + 5x + 14=-(x^2-5x-14),\\y=-(x^2-5x+\dfrac{25}{4}-\dfrac{25}{4}-14),\\y=-((x^2-5x+\dfrac{25}{4})-\dfrac{25}{4}-14),\\y=-((x-\dfrac{5}{2})^2-\dfrac{81}{4})=-(x-\dfrac{5}{2})^2+\dfrac{81}{4}.$

When x=2.5, y=20.25, then the point (2.5,20.25) is vertex of this third parabola.

$y =-x^2 + 7x + 7=-(x^2-7x-7),\\y=-(x^2-7x+\dfrac{49}{4}-\dfrac{49}{4}-7),\\y=-((x^2-7x+\dfrac{49}{4})-\dfrac{49}{4}-7),\\y=-((x-\dfrac{7}{2})^2-\dfrac{77}{4})=-(x-\dfrac{7}{2})^2+\dfrac{77}{4}.$

When x=3.5, y=19.25, then the point (3.5,19.25) is vertex of this fourth parabola.

$y =2x^2 + 7x +5=2(x^2+\dfrac{7}{2}x+\dfrac{5}{2}),\\y=2(x^2+\dfrac{7}{2}x+\dfrac{49}{16}-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x^2+\dfrac{7}{2}x+\dfrac{49}{16})-\dfrac{49}{16}+\dfrac{5}{2}),\\y=2((x+\dfrac{7}{4})^2-\dfrac{9}{16})=2(x+\dfrac{7}{4})^2-\dfrac{9}{8}.$

When x=-1.75, y=-1.125, then the point (-1.75,-1.125) is vertex of this fifth parabola.

$y =-2x^2 + 8x +5=-2(x^2-4x-\dfrac{5}{2}),\\y=-2(x^2-4x+4-4-\dfrac{5}{2}),\\y=-2((x^2-4x+4)-4-\dfrac{5}{2}),\\y=-2((x-2)^2-\dfrac{13}{2})=-2(x-2)^2+13.$

When x=2, y=13, then the point (2,13) is vertex of this sixth parabola.

3 0

3 years ago

In 2013 Traci joined a swim club. The fees were £600 per year in 2013. Each year the fees increase by 6%. Calculate, to nearest

balandron [24]

Answer:

715 pounds

Step-by-step explanation:

FV = solve

PV = 600

I% = 6

K = 1, N = 3 (2013 - 2016 = 3 years)

Plug it in:

FV = 600 x [ 1 + (6/100 x 1)]³

= 600 x ( 1 + 0.06)³

= 600 x (1.06)³

FV = 714.61, 715 to the nearest dollar.

Therefore, the fee in 2016 is 715 pounds.

6 0

3 years ago

Lucia uses 3 ounces of pasta to make 3/4 serving of pasta, How many ounces of pasta are there per serving? How many ounces of pa

natka813 [3]

Answer:

1. 4 ounces of pasta per serving.

2. 20 ounces for 5 servings.

Step-by-step explanation:

3 ounces of pasta makes 3/4 servings of pasta.

We want to get find out how many ounces of pasta needed to make 1 serving of pasta, in other words 4/4 servings of pasta.

To get 3/4 to 4/4, we need to times it by 4/3, since 3/4 * 4/3 = 12/12 = 4/4 = 1.

So to get the ounces of pasta, we need to times 3 by 4/3.

3 * 4/3 = 3/1 * 4/3 = 12/3 = 4 ounces.

There we see that there are 4 ounces of pasta in a serving.

Now that we know that there are 4 ounces of pasta in a serving, we simply multiply to get the amount of ounces of pasta in 5 servings.

We can say that the amount of pasta is directly proportional to the amount of servings.

Direct proportion is the relationship between two variables when their ratio is equal to a constant value.

If there are 4 ounces of pasta in a serving, the amount of servings is multiplied by 5, and since the amount of pasta is directly proportional to the amount of servings, we multiply the ounces of pasta by 5.

4 * 5 = 20.

Here we see that there are 20 ounces of pasta in 5 servings.

Hope this helps.

7 0

2 years ago

What is 75 2/5% in decimal

krok68 [10]

Answer:

.754

Step-by-step explanation:

Percentage is based off of 1 or 100% which is equal to 1. So 50% or half of both 100% and 1 would be translated as .5 and as the percentage becomes more accurate or lengthy you add to the decimal so 53% is .53 and 53.4% is .534

7 0

2 years ago

Read 2 more answers

A certain colony of bacteria triples in length every 10 minutes, its length is now 1 millimeter. How long will it be in 40 minut

Law Incorporation [45]

Answer:

81 mm

Step-by-step explanation:

Now: 1 mm

In 10 minutes: 3 * 1 mm = 3 mm

In 20 minutes: 3 * 3 mm = 9 mm

In 30 minutes: 3 * 9 mm = 27 mm

In 40 minutes: 3 * 27 mm = 81 mm

Answer: 81 mm

3 0

2 years ago