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Elis [28]
3 years ago
8

A radius of a circle is 14 cm and a chord has 18 cm. What is the distance between the center of the circle and the chord

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer: 10.72\ cm

Step-by-step explanation:

Given

Radius of circle r=14\ cm

Length of chord is l=18\ cm

Suppose the distance between the chord and center is x

From figure, we can write

\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm

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Which is true about the polynomial –8m3 + 11m?
Dima020 [189]

Answer:

Binomial with a degree of 3

Step-by-step explanation:

-8m^3 + 11m....notice that it has 2 terms....(-8m^3) and (11m). Having 2 terms makes it a binomial...if it would have had 3 terms, it would have been a trinomial. If it has only one variable, the degree is the highest exponent...so this has a degree of 3 since ^3 is the highest exponent.

so the answer is : binomial with a degree of 3

7 0
3 years ago
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In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

<em>Hence the measure of m∠DAB is 120 degrees</em>

6 0
3 years ago
Find the VOLUME of this composite solid.
Black_prince [1.1K]

Answer:

  (294π +448) cm³ ≈ 1371.6 cm³

Step-by-step explanation:

The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.

The cylinder volume is ...

  V = πr²h = π(7 cm)²(6 cm) = 294π cm³

__

The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...

  V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³

Then the total volume of the composite figure is ...

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8 0
3 years ago
What is a formula for the nth term of the given sequence? 50, -20,8...​
Tatiana [17]

Answer:

L = 50 * (-0.4)^(n - 1)

Step-by-step explanation:

r = t2/t1 = -20/50 = - 0.4

a = 50

L = 50 * (r)^(n - 1)      Let's  see if we can get the answer when n = 3

L=50 * (-0.4)^(3 -1)

L =50* (-0.4)^2

L = 50 * 0.16

L = 8 which is correct

5 0
3 years ago
If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4 inches, 4 inches, and 7 inches, would it make a
Yuri [45]

Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.


Step-by-step explanation:

The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

The given sides of the triangle is 4 inches, 4 inches, and 7 inches.

Here,

4+4=8>7\\7+4>4

So by triangle inequality, a triangle with sides   4 inches, 4 inches, and 7 inches. is possible.

Since it has two equal sides as 4 inches , then it must be an isosceles triangle.

3 0
4 years ago
Read 2 more answers
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