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shusha [124]
2 years ago
14

imagine that you have a bag containing 10 marbles of different colors. you have drawn a marble, recorded its color and replaced

it fifty times with the following results: 9 purple, 16 orange, 6, yellow and 19 green marbles, make a prediction for how many marbles of each color are in the bag.
Mathematics
1 answer:
zubka84 [21]2 years ago
5 0
I think it might be 50 but im not sure
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Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)
nevsk [136]

Answer:

Option 1:(x-4)^2+y^2=100

Step-by-step explanation:

Given center = (h,k) = (4,0)

The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.

So,

The distance formula will be used:

d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\=\sqrt{(4+2)^{2}+(0-8)^{2}}\\=\sqrt{(6)^{2}+(-8)^{2}}\\=\sqrt{36+64}\\ =\sqrt{100}\\ =10\ units

Hence radius is 10.

The standard form of equation of circle is:

(x-h)^2+(y-k)^2 = r^2

Putting the values

(x-4)^2+(y-0)^2=10^2

(x-4)^2+y^2=100

Hence option 1 is correct ..

7 0
2 years ago
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Shelley sells 5 bone-shaped treats for $3.50. How much should she charge for a package of 12 treats?
kondaur [170]
She will be charged $42
8 0
2 years ago
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Tania has a set of nesting rings. This table shows the relationship between the radius of a ring and the ring's circumference.
valentinak56 [21]

Answer:

The circumference is 59.66 cm

Step-by-step explanation:

we know that

The circumference of a circle (ring) is given by the formula

C=2\pi r

If the radius is

r=9.5\ cm

substitute in the formula

C=2\pi (9.5)

C=19\pi\ cm ----> exact value

assume

\pi =3.14

substitute

C=19(3.14)=59.66\ cm

5 0
2 years ago
Given ΔADC and ΔAEB, What is AE?
chubhunter [2.5K]

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the \triangle ADC \text { and }\triangle AEB :

1. \angle B = \angle C = 90^\circ

2. \angle A is common to both the triangles.

3. Two angles are common, so the third angle \angle E is also equal to \angle D.

All the three angles in the \triangle ADC \text { and }\triangle AEB are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = x units

Side AD = AE + ED

So, AD = x + 72

Using the ratio:

\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units

So, AE = 43.2 units

4 0
2 years ago
The Toga Trench is at an elevation of 35,702 feet below sea level .The south sandwich Trench is at an elevation of 23,737 ft . b
Aleks04 [339]

Answer:

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

Step-by-step explanation:

Given the following:

Tonga trench Elevation = 35,702 Feets

South sandwich trench elevation = 23,737 Feets

Expressing both numbers as rational numbers :

Both the Tonga trench Elevation and South sandwich trench elevation are already stated as rational numbers because all integers are rational numbers, be it expressed as a quotient or proportion of integer numbers ( that is numbers that are expressed without decimal components.

Therefore, rational expression for both are :

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

4 0
2 years ago
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