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3 years ago

If the radius of the circle is 3 cm, what is the measure of the longest chord?

Mathematics

2 answers:

kolbaska11 [484]3 years ago

7 0

9514 1404 393

Answer:

B. 6

Step-by-step explanation:

The longest chord of a circle is the diameter, twice the length of the radius.

2(3 cm) = 6 cm

Masteriza [31]3 years ago

5 0

Answer:

B. 6

Step-by-step explanation:

A chord of a circle is a line segment where both endpoints land on the circumfrence of the circle. The longest chord would be at the diameter, which is 2r (2 x 3).

Hope this helps :)

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8t 4d-2t 5d-6 combining like terms

Gelneren [198K]

6t+9d-6 is the answer

3 0

3 years ago

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

3 years ago

The admission at the movies is $5 for children and $10 for adults. The total amount collected was

sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of adults be y

Given : Total number of people, x + y = 500 --------(1)

Total amount collected, 5x + 10y = 3000 ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

5x + 5000 - 10x = 3000

-5x = 3000 - 5000

-5x = -2000

x = 400

Substitute x in (1) : 400 + y = 500

y = 500 - 400

y = 100

4 0

2 years ago

The regular price of an item is $84. The item is on sale witha discount of $12. What is the discount rate.

sammy [17]

Answer:

Discount = 14.3% (rounded up to one decimal place)

Step-by-step explanation:

The regular price of an item is $84

Discount = $12

Percentage discount = (Discount ÷ regular price) × 100

Percentage discount = $\frac{12}{84}$ × 100 = 14.3% (rounded up to one decimal place)

5 0

3 years ago

Write log6 5 as a logarithm of base 4.

STatiana [176]

Answer:

It is a).

Step-by-step explanation:

The rule for change of base of a log is:

logb x = = loga x / loga b

So we have

log6 5 = log4 5 / log4 6.

4 0

3 years ago